/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.hs /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.hs # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4) HASKELL (5) Narrow [SOUND, 0 ms] (6) AND (7) QDP (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] (9) YES (10) QDP (11) QDPSizeChangeProof [EQUIVALENT, 0 ms] (12) YES (13) QDP (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] (15) YES (16) QDP (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] (18) YES ---------------------------------------- (0) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (1) BR (EQUIVALENT) Replaced joker patterns by fresh variables and removed binding patterns. ---------------------------------------- (2) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (3) COR (EQUIVALENT) Cond Reductions: The following Function with conditions "undefined |Falseundefined; " is transformed to "undefined = undefined1; " "undefined0 True = undefined; " "undefined1 = undefined0 False; " ---------------------------------------- (4) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (5) Narrow (SOUND) Haskell To QDPs digraph dp_graph { node [outthreshold=100, inthreshold=100];1[label="(==)",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 3[label="(==) xv3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 4[label="(==) xv3 xv4",fontsize=16,color="burlywood",shape="triangle"];805[label="xv3/(xv30,xv31)",fontsize=10,color="white",style="solid",shape="box"];4 -> 805[label="",style="solid", color="burlywood", weight=9]; 805 -> 5[label="",style="solid", color="burlywood", weight=3]; 5[label="(==) (xv30,xv31) xv4",fontsize=16,color="burlywood",shape="box"];806[label="xv4/(xv40,xv41)",fontsize=10,color="white",style="solid",shape="box"];5 -> 806[label="",style="solid", color="burlywood", weight=9]; 806 -> 6[label="",style="solid", color="burlywood", weight=3]; 6[label="(==) (xv30,xv31) (xv40,xv41)",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3]; 7 -> 217[label="",style="dashed", color="red", weight=0]; 7[label="xv30 == xv40 && xv31 == xv41",fontsize=16,color="magenta"];7 -> 218[label="",style="dashed", color="magenta", weight=3]; 7 -> 219[label="",style="dashed", color="magenta", weight=3]; 218[label="xv31 == xv41",fontsize=16,color="blue",shape="box"];807[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];218 -> 807[label="",style="solid", color="blue", weight=9]; 807 -> 222[label="",style="solid", color="blue", weight=3]; 808[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];218 -> 808[label="",style="solid", color="blue", weight=9]; 808 -> 223[label="",style="solid", color="blue", weight=3]; 809[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];218 -> 809[label="",style="solid", color="blue", weight=9]; 809 -> 224[label="",style="solid", color="blue", weight=3]; 810[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];218 -> 810[label="",style="solid", color="blue", weight=9]; 810 -> 225[label="",style="solid", color="blue", weight=3]; 811[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];218 -> 811[label="",style="solid", color="blue", weight=9]; 811 -> 226[label="",style="solid", color="blue", weight=3]; 812[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];218 -> 812[label="",style="solid", color="blue", weight=9]; 812 -> 227[label="",style="solid", color="blue", weight=3]; 813[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];218 -> 813[label="",style="solid", color="blue", weight=9]; 813 -> 228[label="",style="solid", color="blue", weight=3]; 814[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];218 -> 814[label="",style="solid", color="blue", weight=9]; 814 -> 229[label="",style="solid", color="blue", weight=3]; 815[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];218 -> 815[label="",style="solid", color="blue", weight=9]; 815 -> 230[label="",style="solid", color="blue", weight=3]; 816[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];218 -> 816[label="",style="solid", color="blue", weight=9]; 816 -> 231[label="",style="solid", color="blue", weight=3]; 817[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];218 -> 817[label="",style="solid", color="blue", weight=9]; 817 -> 232[label="",style="solid", color="blue", weight=3]; 818[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];218 -> 818[label="",style="solid", color="blue", weight=9]; 818 -> 233[label="",style="solid", color="blue", weight=3]; 819[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];218 -> 819[label="",style="solid", color="blue", weight=9]; 819 -> 234[label="",style="solid", color="blue", weight=3]; 820[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];218 -> 820[label="",style="solid", color="blue", weight=9]; 820 -> 235[label="",style="solid", color="blue", weight=3]; 219[label="xv30 == xv40",fontsize=16,color="blue",shape="box"];821[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 821[label="",style="solid", color="blue", weight=9]; 821 -> 236[label="",style="solid", color="blue", weight=3]; 822[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 822[label="",style="solid", color="blue", weight=9]; 822 -> 237[label="",style="solid", color="blue", weight=3]; 823[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 823[label="",style="solid", color="blue", weight=9]; 823 -> 238[label="",style="solid", color="blue", weight=3]; 824[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 824[label="",style="solid", color="blue", weight=9]; 824 -> 239[label="",style="solid", color="blue", weight=3]; 825[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 825[label="",style="solid", color="blue", weight=9]; 825 -> 240[label="",style="solid", color="blue", weight=3]; 826[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 826[label="",style="solid", color="blue", weight=9]; 826 -> 241[label="",style="solid", color="blue", weight=3]; 827[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 827[label="",style="solid", color="blue", weight=9]; 827 -> 242[label="",style="solid", color="blue", weight=3]; 828[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 828[label="",style="solid", color="blue", weight=9]; 828 -> 243[label="",style="solid", color="blue", weight=3]; 829[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 829[label="",style="solid", color="blue", weight=9]; 829 -> 244[label="",style="solid", color="blue", weight=3]; 830[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 830[label="",style="solid", color="blue", weight=9]; 830 -> 245[label="",style="solid", color="blue", weight=3]; 831[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 831[label="",style="solid", color="blue", weight=9]; 831 -> 246[label="",style="solid", color="blue", weight=3]; 832[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 832[label="",style="solid", color="blue", weight=9]; 832 -> 247[label="",style="solid", color="blue", weight=3]; 833[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 833[label="",style="solid", color="blue", weight=9]; 833 -> 248[label="",style="solid", color="blue", weight=3]; 834[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 834[label="",style="solid", color="blue", weight=9]; 834 -> 249[label="",style="solid", color="blue", weight=3]; 217[label="xv16 && xv17",fontsize=16,color="burlywood",shape="triangle"];835[label="xv16/False",fontsize=10,color="white",style="solid",shape="box"];217 -> 835[label="",style="solid", color="burlywood", weight=9]; 835 -> 250[label="",style="solid", color="burlywood", weight=3]; 836[label="xv16/True",fontsize=10,color="white",style="solid",shape="box"];217 -> 836[label="",style="solid", color="burlywood", weight=9]; 836 -> 251[label="",style="solid", color="burlywood", weight=3]; 222[label="xv31 == xv41",fontsize=16,color="burlywood",shape="triangle"];837[label="xv31/Left xv310",fontsize=10,color="white",style="solid",shape="box"];222 -> 837[label="",style="solid", color="burlywood", weight=9]; 837 -> 252[label="",style="solid", color="burlywood", weight=3]; 838[label="xv31/Right xv310",fontsize=10,color="white",style="solid",shape="box"];222 -> 838[label="",style="solid", color="burlywood", weight=9]; 838 -> 253[label="",style="solid", color="burlywood", weight=3]; 223[label="xv31 == xv41",fontsize=16,color="burlywood",shape="triangle"];839[label="xv31/False",fontsize=10,color="white",style="solid",shape="box"];223 -> 839[label="",style="solid", color="burlywood", weight=9]; 839 -> 254[label="",style="solid", color="burlywood", weight=3]; 840[label="xv31/True",fontsize=10,color="white",style="solid",shape="box"];223 -> 840[label="",style="solid", color="burlywood", weight=9]; 840 -> 255[label="",style="solid", color="burlywood", weight=3]; 224[label="xv31 == xv41",fontsize=16,color="black",shape="triangle"];224 -> 256[label="",style="solid", color="black", weight=3]; 225[label="xv31 == xv41",fontsize=16,color="burlywood",shape="triangle"];841[label="xv31/(xv310,xv311,xv312)",fontsize=10,color="white",style="solid",shape="box"];225 -> 841[label="",style="solid", color="burlywood", weight=9]; 841 -> 257[label="",style="solid", color="burlywood", weight=3]; 226[label="xv31 == xv41",fontsize=16,color="black",shape="triangle"];226 -> 258[label="",style="solid", color="black", weight=3]; 227[label="xv31 == xv41",fontsize=16,color="burlywood",shape="triangle"];842[label="xv31/Integer xv310",fontsize=10,color="white",style="solid",shape="box"];227 -> 842[label="",style="solid", color="burlywood", weight=9]; 842 -> 259[label="",style="solid", color="burlywood", weight=3]; 228[label="xv31 == xv41",fontsize=16,color="burlywood",shape="triangle"];843[label="xv31/xv310 :% xv311",fontsize=10,color="white",style="solid",shape="box"];228 -> 843[label="",style="solid", color="burlywood", weight=9]; 843 -> 260[label="",style="solid", color="burlywood", weight=3]; 229[label="xv31 == xv41",fontsize=16,color="burlywood",shape="triangle"];844[label="xv31/LT",fontsize=10,color="white",style="solid",shape="box"];229 -> 844[label="",style="solid", color="burlywood", weight=9]; 844 -> 261[label="",style="solid", color="burlywood", weight=3]; 845[label="xv31/EQ",fontsize=10,color="white",style="solid",shape="box"];229 -> 845[label="",style="solid", color="burlywood", weight=9]; 845 -> 262[label="",style="solid", color="burlywood", weight=3]; 846[label="xv31/GT",fontsize=10,color="white",style="solid",shape="box"];229 -> 846[label="",style="solid", color="burlywood", weight=9]; 846 -> 263[label="",style="solid", color="burlywood", weight=3]; 230[label="xv31 == xv41",fontsize=16,color="burlywood",shape="triangle"];847[label="xv31/Nothing",fontsize=10,color="white",style="solid",shape="box"];230 -> 847[label="",style="solid", color="burlywood", weight=9]; 847 -> 264[label="",style="solid", color="burlywood", weight=3]; 848[label="xv31/Just xv310",fontsize=10,color="white",style="solid",shape="box"];230 -> 848[label="",style="solid", color="burlywood", weight=9]; 848 -> 265[label="",style="solid", color="burlywood", weight=3]; 231[label="xv31 == xv41",fontsize=16,color="burlywood",shape="triangle"];849[label="xv31/xv310 : xv311",fontsize=10,color="white",style="solid",shape="box"];231 -> 849[label="",style="solid", color="burlywood", weight=9]; 849 -> 266[label="",style="solid", color="burlywood", weight=3]; 850[label="xv31/[]",fontsize=10,color="white",style="solid",shape="box"];231 -> 850[label="",style="solid", color="burlywood", weight=9]; 850 -> 267[label="",style="solid", color="burlywood", weight=3]; 232[label="xv31 == xv41",fontsize=16,color="black",shape="triangle"];232 -> 268[label="",style="solid", color="black", weight=3]; 233[label="xv31 == xv41",fontsize=16,color="burlywood",shape="triangle"];851[label="xv31/()",fontsize=10,color="white",style="solid",shape="box"];233 -> 851[label="",style="solid", color="burlywood", weight=9]; 851 -> 269[label="",style="solid", color="burlywood", weight=3]; 234[label="xv31 == xv41",fontsize=16,color="black",shape="triangle"];234 -> 270[label="",style="solid", color="black", weight=3]; 235 -> 4[label="",style="dashed", color="red", weight=0]; 235[label="xv31 == xv41",fontsize=16,color="magenta"];235 -> 271[label="",style="dashed", color="magenta", weight=3]; 235 -> 272[label="",style="dashed", color="magenta", weight=3]; 236 -> 222[label="",style="dashed", color="red", weight=0]; 236[label="xv30 == xv40",fontsize=16,color="magenta"];236 -> 273[label="",style="dashed", color="magenta", weight=3]; 236 -> 274[label="",style="dashed", color="magenta", weight=3]; 237 -> 223[label="",style="dashed", color="red", weight=0]; 237[label="xv30 == xv40",fontsize=16,color="magenta"];237 -> 275[label="",style="dashed", color="magenta", weight=3]; 237 -> 276[label="",style="dashed", color="magenta", weight=3]; 238 -> 224[label="",style="dashed", color="red", weight=0]; 238[label="xv30 == xv40",fontsize=16,color="magenta"];238 -> 277[label="",style="dashed", color="magenta", weight=3]; 238 -> 278[label="",style="dashed", color="magenta", weight=3]; 239 -> 225[label="",style="dashed", color="red", weight=0]; 239[label="xv30 == xv40",fontsize=16,color="magenta"];239 -> 279[label="",style="dashed", color="magenta", weight=3]; 239 -> 280[label="",style="dashed", color="magenta", weight=3]; 240 -> 226[label="",style="dashed", color="red", weight=0]; 240[label="xv30 == xv40",fontsize=16,color="magenta"];240 -> 281[label="",style="dashed", color="magenta", weight=3]; 240 -> 282[label="",style="dashed", color="magenta", weight=3]; 241 -> 227[label="",style="dashed", color="red", weight=0]; 241[label="xv30 == xv40",fontsize=16,color="magenta"];241 -> 283[label="",style="dashed", color="magenta", weight=3]; 241 -> 284[label="",style="dashed", color="magenta", weight=3]; 242 -> 228[label="",style="dashed", color="red", weight=0]; 242[label="xv30 == xv40",fontsize=16,color="magenta"];242 -> 285[label="",style="dashed", color="magenta", weight=3]; 242 -> 286[label="",style="dashed", color="magenta", weight=3]; 243 -> 229[label="",style="dashed", color="red", weight=0]; 243[label="xv30 == xv40",fontsize=16,color="magenta"];243 -> 287[label="",style="dashed", color="magenta", weight=3]; 243 -> 288[label="",style="dashed", color="magenta", weight=3]; 244 -> 230[label="",style="dashed", color="red", weight=0]; 244[label="xv30 == xv40",fontsize=16,color="magenta"];244 -> 289[label="",style="dashed", color="magenta", weight=3]; 244 -> 290[label="",style="dashed", color="magenta", weight=3]; 245 -> 231[label="",style="dashed", color="red", weight=0]; 245[label="xv30 == xv40",fontsize=16,color="magenta"];245 -> 291[label="",style="dashed", color="magenta", weight=3]; 245 -> 292[label="",style="dashed", color="magenta", weight=3]; 246 -> 232[label="",style="dashed", color="red", weight=0]; 246[label="xv30 == xv40",fontsize=16,color="magenta"];246 -> 293[label="",style="dashed", color="magenta", weight=3]; 246 -> 294[label="",style="dashed", color="magenta", weight=3]; 247 -> 233[label="",style="dashed", color="red", weight=0]; 247[label="xv30 == xv40",fontsize=16,color="magenta"];247 -> 295[label="",style="dashed", color="magenta", weight=3]; 247 -> 296[label="",style="dashed", color="magenta", weight=3]; 248 -> 234[label="",style="dashed", color="red", weight=0]; 248[label="xv30 == xv40",fontsize=16,color="magenta"];248 -> 297[label="",style="dashed", color="magenta", weight=3]; 248 -> 298[label="",style="dashed", color="magenta", weight=3]; 249 -> 4[label="",style="dashed", color="red", weight=0]; 249[label="xv30 == xv40",fontsize=16,color="magenta"];249 -> 299[label="",style="dashed", color="magenta", weight=3]; 249 -> 300[label="",style="dashed", color="magenta", weight=3]; 250[label="False && xv17",fontsize=16,color="black",shape="box"];250 -> 301[label="",style="solid", color="black", weight=3]; 251[label="True && xv17",fontsize=16,color="black",shape="box"];251 -> 302[label="",style="solid", color="black", weight=3]; 252[label="Left xv310 == xv41",fontsize=16,color="burlywood",shape="box"];852[label="xv41/Left xv410",fontsize=10,color="white",style="solid",shape="box"];252 -> 852[label="",style="solid", color="burlywood", weight=9]; 852 -> 303[label="",style="solid", color="burlywood", weight=3]; 853[label="xv41/Right xv410",fontsize=10,color="white",style="solid",shape="box"];252 -> 853[label="",style="solid", color="burlywood", weight=9]; 853 -> 304[label="",style="solid", color="burlywood", weight=3]; 253[label="Right xv310 == xv41",fontsize=16,color="burlywood",shape="box"];854[label="xv41/Left xv410",fontsize=10,color="white",style="solid",shape="box"];253 -> 854[label="",style="solid", color="burlywood", weight=9]; 854 -> 305[label="",style="solid", color="burlywood", weight=3]; 855[label="xv41/Right xv410",fontsize=10,color="white",style="solid",shape="box"];253 -> 855[label="",style="solid", color="burlywood", weight=9]; 855 -> 306[label="",style="solid", color="burlywood", weight=3]; 254[label="False == xv41",fontsize=16,color="burlywood",shape="box"];856[label="xv41/False",fontsize=10,color="white",style="solid",shape="box"];254 -> 856[label="",style="solid", color="burlywood", weight=9]; 856 -> 307[label="",style="solid", color="burlywood", weight=3]; 857[label="xv41/True",fontsize=10,color="white",style="solid",shape="box"];254 -> 857[label="",style="solid", color="burlywood", weight=9]; 857 -> 308[label="",style="solid", color="burlywood", weight=3]; 255[label="True == xv41",fontsize=16,color="burlywood",shape="box"];858[label="xv41/False",fontsize=10,color="white",style="solid",shape="box"];255 -> 858[label="",style="solid", color="burlywood", weight=9]; 858 -> 309[label="",style="solid", color="burlywood", weight=3]; 859[label="xv41/True",fontsize=10,color="white",style="solid",shape="box"];255 -> 859[label="",style="solid", color="burlywood", weight=9]; 859 -> 310[label="",style="solid", color="burlywood", weight=3]; 256[label="primEqChar xv31 xv41",fontsize=16,color="burlywood",shape="box"];860[label="xv31/Char xv310",fontsize=10,color="white",style="solid",shape="box"];256 -> 860[label="",style="solid", color="burlywood", weight=9]; 860 -> 311[label="",style="solid", color="burlywood", weight=3]; 257[label="(xv310,xv311,xv312) == xv41",fontsize=16,color="burlywood",shape="box"];861[label="xv41/(xv410,xv411,xv412)",fontsize=10,color="white",style="solid",shape="box"];257 -> 861[label="",style="solid", color="burlywood", weight=9]; 861 -> 312[label="",style="solid", color="burlywood", weight=3]; 258[label="primEqInt xv31 xv41",fontsize=16,color="burlywood",shape="triangle"];862[label="xv31/Pos xv310",fontsize=10,color="white",style="solid",shape="box"];258 -> 862[label="",style="solid", color="burlywood", weight=9]; 862 -> 313[label="",style="solid", color="burlywood", weight=3]; 863[label="xv31/Neg xv310",fontsize=10,color="white",style="solid",shape="box"];258 -> 863[label="",style="solid", color="burlywood", weight=9]; 863 -> 314[label="",style="solid", color="burlywood", weight=3]; 259[label="Integer xv310 == xv41",fontsize=16,color="burlywood",shape="box"];864[label="xv41/Integer xv410",fontsize=10,color="white",style="solid",shape="box"];259 -> 864[label="",style="solid", color="burlywood", weight=9]; 864 -> 315[label="",style="solid", color="burlywood", weight=3]; 260[label="xv310 :% xv311 == xv41",fontsize=16,color="burlywood",shape="box"];865[label="xv41/xv410 :% xv411",fontsize=10,color="white",style="solid",shape="box"];260 -> 865[label="",style="solid", color="burlywood", weight=9]; 865 -> 316[label="",style="solid", color="burlywood", weight=3]; 261[label="LT == xv41",fontsize=16,color="burlywood",shape="box"];866[label="xv41/LT",fontsize=10,color="white",style="solid",shape="box"];261 -> 866[label="",style="solid", color="burlywood", weight=9]; 866 -> 317[label="",style="solid", color="burlywood", weight=3]; 867[label="xv41/EQ",fontsize=10,color="white",style="solid",shape="box"];261 -> 867[label="",style="solid", color="burlywood", weight=9]; 867 -> 318[label="",style="solid", color="burlywood", weight=3]; 868[label="xv41/GT",fontsize=10,color="white",style="solid",shape="box"];261 -> 868[label="",style="solid", color="burlywood", weight=9]; 868 -> 319[label="",style="solid", color="burlywood", weight=3]; 262[label="EQ == xv41",fontsize=16,color="burlywood",shape="box"];869[label="xv41/LT",fontsize=10,color="white",style="solid",shape="box"];262 -> 869[label="",style="solid", color="burlywood", weight=9]; 869 -> 320[label="",style="solid", color="burlywood", weight=3]; 870[label="xv41/EQ",fontsize=10,color="white",style="solid",shape="box"];262 -> 870[label="",style="solid", color="burlywood", weight=9]; 870 -> 321[label="",style="solid", color="burlywood", weight=3]; 871[label="xv41/GT",fontsize=10,color="white",style="solid",shape="box"];262 -> 871[label="",style="solid", color="burlywood", weight=9]; 871 -> 322[label="",style="solid", color="burlywood", weight=3]; 263[label="GT == xv41",fontsize=16,color="burlywood",shape="box"];872[label="xv41/LT",fontsize=10,color="white",style="solid",shape="box"];263 -> 872[label="",style="solid", color="burlywood", weight=9]; 872 -> 323[label="",style="solid", color="burlywood", weight=3]; 873[label="xv41/EQ",fontsize=10,color="white",style="solid",shape="box"];263 -> 873[label="",style="solid", color="burlywood", weight=9]; 873 -> 324[label="",style="solid", color="burlywood", weight=3]; 874[label="xv41/GT",fontsize=10,color="white",style="solid",shape="box"];263 -> 874[label="",style="solid", color="burlywood", weight=9]; 874 -> 325[label="",style="solid", color="burlywood", weight=3]; 264[label="Nothing == xv41",fontsize=16,color="burlywood",shape="box"];875[label="xv41/Nothing",fontsize=10,color="white",style="solid",shape="box"];264 -> 875[label="",style="solid", color="burlywood", weight=9]; 875 -> 326[label="",style="solid", color="burlywood", weight=3]; 876[label="xv41/Just xv410",fontsize=10,color="white",style="solid",shape="box"];264 -> 876[label="",style="solid", color="burlywood", weight=9]; 876 -> 327[label="",style="solid", color="burlywood", weight=3]; 265[label="Just xv310 == xv41",fontsize=16,color="burlywood",shape="box"];877[label="xv41/Nothing",fontsize=10,color="white",style="solid",shape="box"];265 -> 877[label="",style="solid", color="burlywood", weight=9]; 877 -> 328[label="",style="solid", color="burlywood", weight=3]; 878[label="xv41/Just xv410",fontsize=10,color="white",style="solid",shape="box"];265 -> 878[label="",style="solid", color="burlywood", weight=9]; 878 -> 329[label="",style="solid", color="burlywood", weight=3]; 266[label="xv310 : xv311 == xv41",fontsize=16,color="burlywood",shape="box"];879[label="xv41/xv410 : xv411",fontsize=10,color="white",style="solid",shape="box"];266 -> 879[label="",style="solid", color="burlywood", weight=9]; 879 -> 330[label="",style="solid", color="burlywood", weight=3]; 880[label="xv41/[]",fontsize=10,color="white",style="solid",shape="box"];266 -> 880[label="",style="solid", color="burlywood", weight=9]; 880 -> 331[label="",style="solid", color="burlywood", weight=3]; 267[label="[] == xv41",fontsize=16,color="burlywood",shape="box"];881[label="xv41/xv410 : xv411",fontsize=10,color="white",style="solid",shape="box"];267 -> 881[label="",style="solid", color="burlywood", weight=9]; 881 -> 332[label="",style="solid", color="burlywood", weight=3]; 882[label="xv41/[]",fontsize=10,color="white",style="solid",shape="box"];267 -> 882[label="",style="solid", color="burlywood", weight=9]; 882 -> 333[label="",style="solid", color="burlywood", weight=3]; 268[label="primEqFloat xv31 xv41",fontsize=16,color="burlywood",shape="box"];883[label="xv31/Float xv310 xv311",fontsize=10,color="white",style="solid",shape="box"];268 -> 883[label="",style="solid", color="burlywood", weight=9]; 883 -> 334[label="",style="solid", color="burlywood", weight=3]; 269[label="() == xv41",fontsize=16,color="burlywood",shape="box"];884[label="xv41/()",fontsize=10,color="white",style="solid",shape="box"];269 -> 884[label="",style="solid", color="burlywood", weight=9]; 884 -> 335[label="",style="solid", color="burlywood", weight=3]; 270[label="primEqDouble xv31 xv41",fontsize=16,color="burlywood",shape="box"];885[label="xv31/Double xv310 xv311",fontsize=10,color="white",style="solid",shape="box"];270 -> 885[label="",style="solid", color="burlywood", weight=9]; 885 -> 336[label="",style="solid", color="burlywood", weight=3]; 271[label="xv41",fontsize=16,color="green",shape="box"];272[label="xv31",fontsize=16,color="green",shape="box"];273[label="xv40",fontsize=16,color="green",shape="box"];274[label="xv30",fontsize=16,color="green",shape="box"];275[label="xv40",fontsize=16,color="green",shape="box"];276[label="xv30",fontsize=16,color="green",shape="box"];277[label="xv40",fontsize=16,color="green",shape="box"];278[label="xv30",fontsize=16,color="green",shape="box"];279[label="xv40",fontsize=16,color="green",shape="box"];280[label="xv30",fontsize=16,color="green",shape="box"];281[label="xv40",fontsize=16,color="green",shape="box"];282[label="xv30",fontsize=16,color="green",shape="box"];283[label="xv40",fontsize=16,color="green",shape="box"];284[label="xv30",fontsize=16,color="green",shape="box"];285[label="xv40",fontsize=16,color="green",shape="box"];286[label="xv30",fontsize=16,color="green",shape="box"];287[label="xv40",fontsize=16,color="green",shape="box"];288[label="xv30",fontsize=16,color="green",shape="box"];289[label="xv40",fontsize=16,color="green",shape="box"];290[label="xv30",fontsize=16,color="green",shape="box"];291[label="xv40",fontsize=16,color="green",shape="box"];292[label="xv30",fontsize=16,color="green",shape="box"];293[label="xv40",fontsize=16,color="green",shape="box"];294[label="xv30",fontsize=16,color="green",shape="box"];295[label="xv40",fontsize=16,color="green",shape="box"];296[label="xv30",fontsize=16,color="green",shape="box"];297[label="xv40",fontsize=16,color="green",shape="box"];298[label="xv30",fontsize=16,color="green",shape="box"];299[label="xv40",fontsize=16,color="green",shape="box"];300[label="xv30",fontsize=16,color="green",shape="box"];301[label="False",fontsize=16,color="green",shape="box"];302[label="xv17",fontsize=16,color="green",shape="box"];303[label="Left xv310 == Left xv410",fontsize=16,color="black",shape="box"];303 -> 337[label="",style="solid", color="black", weight=3]; 304[label="Left xv310 == Right xv410",fontsize=16,color="black",shape="box"];304 -> 338[label="",style="solid", color="black", weight=3]; 305[label="Right xv310 == Left xv410",fontsize=16,color="black",shape="box"];305 -> 339[label="",style="solid", color="black", weight=3]; 306[label="Right xv310 == Right xv410",fontsize=16,color="black",shape="box"];306 -> 340[label="",style="solid", color="black", weight=3]; 307[label="False == False",fontsize=16,color="black",shape="box"];307 -> 341[label="",style="solid", color="black", weight=3]; 308[label="False == True",fontsize=16,color="black",shape="box"];308 -> 342[label="",style="solid", color="black", weight=3]; 309[label="True == False",fontsize=16,color="black",shape="box"];309 -> 343[label="",style="solid", color="black", weight=3]; 310[label="True == True",fontsize=16,color="black",shape="box"];310 -> 344[label="",style="solid", color="black", weight=3]; 311[label="primEqChar (Char xv310) xv41",fontsize=16,color="burlywood",shape="box"];886[label="xv41/Char xv410",fontsize=10,color="white",style="solid",shape="box"];311 -> 886[label="",style="solid", color="burlywood", weight=9]; 886 -> 345[label="",style="solid", color="burlywood", weight=3]; 312[label="(xv310,xv311,xv312) == (xv410,xv411,xv412)",fontsize=16,color="black",shape="box"];312 -> 346[label="",style="solid", color="black", weight=3]; 313[label="primEqInt (Pos xv310) xv41",fontsize=16,color="burlywood",shape="box"];887[label="xv310/Succ xv3100",fontsize=10,color="white",style="solid",shape="box"];313 -> 887[label="",style="solid", color="burlywood", weight=9]; 887 -> 347[label="",style="solid", color="burlywood", weight=3]; 888[label="xv310/Zero",fontsize=10,color="white",style="solid",shape="box"];313 -> 888[label="",style="solid", color="burlywood", weight=9]; 888 -> 348[label="",style="solid", color="burlywood", weight=3]; 314[label="primEqInt (Neg xv310) xv41",fontsize=16,color="burlywood",shape="box"];889[label="xv310/Succ xv3100",fontsize=10,color="white",style="solid",shape="box"];314 -> 889[label="",style="solid", color="burlywood", weight=9]; 889 -> 349[label="",style="solid", color="burlywood", weight=3]; 890[label="xv310/Zero",fontsize=10,color="white",style="solid",shape="box"];314 -> 890[label="",style="solid", color="burlywood", weight=9]; 890 -> 350[label="",style="solid", color="burlywood", weight=3]; 315[label="Integer xv310 == Integer xv410",fontsize=16,color="black",shape="box"];315 -> 351[label="",style="solid", color="black", weight=3]; 316[label="xv310 :% xv311 == xv410 :% xv411",fontsize=16,color="black",shape="box"];316 -> 352[label="",style="solid", color="black", weight=3]; 317[label="LT == LT",fontsize=16,color="black",shape="box"];317 -> 353[label="",style="solid", color="black", weight=3]; 318[label="LT == EQ",fontsize=16,color="black",shape="box"];318 -> 354[label="",style="solid", color="black", weight=3]; 319[label="LT == GT",fontsize=16,color="black",shape="box"];319 -> 355[label="",style="solid", color="black", weight=3]; 320[label="EQ == LT",fontsize=16,color="black",shape="box"];320 -> 356[label="",style="solid", color="black", weight=3]; 321[label="EQ == EQ",fontsize=16,color="black",shape="box"];321 -> 357[label="",style="solid", color="black", weight=3]; 322[label="EQ == GT",fontsize=16,color="black",shape="box"];322 -> 358[label="",style="solid", color="black", weight=3]; 323[label="GT == LT",fontsize=16,color="black",shape="box"];323 -> 359[label="",style="solid", color="black", weight=3]; 324[label="GT == EQ",fontsize=16,color="black",shape="box"];324 -> 360[label="",style="solid", color="black", weight=3]; 325[label="GT == GT",fontsize=16,color="black",shape="box"];325 -> 361[label="",style="solid", color="black", weight=3]; 326[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];326 -> 362[label="",style="solid", color="black", weight=3]; 327[label="Nothing == Just xv410",fontsize=16,color="black",shape="box"];327 -> 363[label="",style="solid", color="black", weight=3]; 328[label="Just xv310 == Nothing",fontsize=16,color="black",shape="box"];328 -> 364[label="",style="solid", color="black", weight=3]; 329[label="Just xv310 == Just xv410",fontsize=16,color="black",shape="box"];329 -> 365[label="",style="solid", color="black", weight=3]; 330[label="xv310 : xv311 == xv410 : xv411",fontsize=16,color="black",shape="box"];330 -> 366[label="",style="solid", color="black", weight=3]; 331[label="xv310 : xv311 == []",fontsize=16,color="black",shape="box"];331 -> 367[label="",style="solid", color="black", weight=3]; 332[label="[] == xv410 : xv411",fontsize=16,color="black",shape="box"];332 -> 368[label="",style="solid", color="black", weight=3]; 333[label="[] == []",fontsize=16,color="black",shape="box"];333 -> 369[label="",style="solid", color="black", weight=3]; 334[label="primEqFloat (Float xv310 xv311) xv41",fontsize=16,color="burlywood",shape="box"];891[label="xv41/Float xv410 xv411",fontsize=10,color="white",style="solid",shape="box"];334 -> 891[label="",style="solid", color="burlywood", weight=9]; 891 -> 370[label="",style="solid", color="burlywood", weight=3]; 335[label="() == ()",fontsize=16,color="black",shape="box"];335 -> 371[label="",style="solid", color="black", weight=3]; 336[label="primEqDouble (Double xv310 xv311) xv41",fontsize=16,color="burlywood",shape="box"];892[label="xv41/Double xv410 xv411",fontsize=10,color="white",style="solid",shape="box"];336 -> 892[label="",style="solid", color="burlywood", weight=9]; 892 -> 372[label="",style="solid", color="burlywood", weight=3]; 337[label="xv310 == xv410",fontsize=16,color="blue",shape="box"];893[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];337 -> 893[label="",style="solid", color="blue", weight=9]; 893 -> 373[label="",style="solid", color="blue", weight=3]; 894[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];337 -> 894[label="",style="solid", color="blue", weight=9]; 894 -> 374[label="",style="solid", color="blue", weight=3]; 895[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];337 -> 895[label="",style="solid", color="blue", weight=9]; 895 -> 375[label="",style="solid", color="blue", weight=3]; 896[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];337 -> 896[label="",style="solid", color="blue", weight=9]; 896 -> 376[label="",style="solid", color="blue", weight=3]; 897[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];337 -> 897[label="",style="solid", color="blue", weight=9]; 897 -> 377[label="",style="solid", color="blue", weight=3]; 898[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];337 -> 898[label="",style="solid", color="blue", weight=9]; 898 -> 378[label="",style="solid", color="blue", weight=3]; 899[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];337 -> 899[label="",style="solid", color="blue", weight=9]; 899 -> 379[label="",style="solid", color="blue", weight=3]; 900[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];337 -> 900[label="",style="solid", color="blue", weight=9]; 900 -> 380[label="",style="solid", color="blue", weight=3]; 901[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];337 -> 901[label="",style="solid", color="blue", weight=9]; 901 -> 381[label="",style="solid", color="blue", weight=3]; 902[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];337 -> 902[label="",style="solid", color="blue", weight=9]; 902 -> 382[label="",style="solid", color="blue", weight=3]; 903[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];337 -> 903[label="",style="solid", color="blue", weight=9]; 903 -> 383[label="",style="solid", color="blue", weight=3]; 904[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];337 -> 904[label="",style="solid", color="blue", weight=9]; 904 -> 384[label="",style="solid", color="blue", weight=3]; 905[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];337 -> 905[label="",style="solid", color="blue", weight=9]; 905 -> 385[label="",style="solid", color="blue", weight=3]; 906[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];337 -> 906[label="",style="solid", color="blue", weight=9]; 906 -> 386[label="",style="solid", color="blue", weight=3]; 338[label="False",fontsize=16,color="green",shape="box"];339[label="False",fontsize=16,color="green",shape="box"];340[label="xv310 == xv410",fontsize=16,color="blue",shape="box"];907[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];340 -> 907[label="",style="solid", color="blue", weight=9]; 907 -> 387[label="",style="solid", color="blue", weight=3]; 908[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];340 -> 908[label="",style="solid", color="blue", weight=9]; 908 -> 388[label="",style="solid", color="blue", weight=3]; 909[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];340 -> 909[label="",style="solid", color="blue", weight=9]; 909 -> 389[label="",style="solid", color="blue", weight=3]; 910[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];340 -> 910[label="",style="solid", color="blue", weight=9]; 910 -> 390[label="",style="solid", color="blue", weight=3]; 911[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];340 -> 911[label="",style="solid", color="blue", weight=9]; 911 -> 391[label="",style="solid", color="blue", weight=3]; 912[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];340 -> 912[label="",style="solid", color="blue", weight=9]; 912 -> 392[label="",style="solid", color="blue", weight=3]; 913[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];340 -> 913[label="",style="solid", color="blue", weight=9]; 913 -> 393[label="",style="solid", color="blue", weight=3]; 914[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];340 -> 914[label="",style="solid", color="blue", weight=9]; 914 -> 394[label="",style="solid", color="blue", weight=3]; 915[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];340 -> 915[label="",style="solid", color="blue", weight=9]; 915 -> 395[label="",style="solid", color="blue", weight=3]; 916[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];340 -> 916[label="",style="solid", color="blue", weight=9]; 916 -> 396[label="",style="solid", color="blue", weight=3]; 917[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];340 -> 917[label="",style="solid", color="blue", weight=9]; 917 -> 397[label="",style="solid", color="blue", weight=3]; 918[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];340 -> 918[label="",style="solid", color="blue", weight=9]; 918 -> 398[label="",style="solid", color="blue", weight=3]; 919[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];340 -> 919[label="",style="solid", color="blue", weight=9]; 919 -> 399[label="",style="solid", color="blue", weight=3]; 920[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];340 -> 920[label="",style="solid", color="blue", weight=9]; 920 -> 400[label="",style="solid", color="blue", weight=3]; 341[label="True",fontsize=16,color="green",shape="box"];342[label="False",fontsize=16,color="green",shape="box"];343[label="False",fontsize=16,color="green",shape="box"];344[label="True",fontsize=16,color="green",shape="box"];345[label="primEqChar (Char xv310) (Char xv410)",fontsize=16,color="black",shape="box"];345 -> 401[label="",style="solid", color="black", weight=3]; 346 -> 217[label="",style="dashed", color="red", weight=0]; 346[label="xv310 == xv410 && xv311 == xv411 && xv312 == xv412",fontsize=16,color="magenta"];346 -> 402[label="",style="dashed", color="magenta", weight=3]; 346 -> 403[label="",style="dashed", color="magenta", weight=3]; 347[label="primEqInt (Pos (Succ xv3100)) xv41",fontsize=16,color="burlywood",shape="box"];921[label="xv41/Pos xv410",fontsize=10,color="white",style="solid",shape="box"];347 -> 921[label="",style="solid", color="burlywood", weight=9]; 921 -> 404[label="",style="solid", color="burlywood", weight=3]; 922[label="xv41/Neg xv410",fontsize=10,color="white",style="solid",shape="box"];347 -> 922[label="",style="solid", color="burlywood", weight=9]; 922 -> 405[label="",style="solid", color="burlywood", weight=3]; 348[label="primEqInt (Pos Zero) xv41",fontsize=16,color="burlywood",shape="box"];923[label="xv41/Pos xv410",fontsize=10,color="white",style="solid",shape="box"];348 -> 923[label="",style="solid", color="burlywood", weight=9]; 923 -> 406[label="",style="solid", color="burlywood", weight=3]; 924[label="xv41/Neg xv410",fontsize=10,color="white",style="solid",shape="box"];348 -> 924[label="",style="solid", color="burlywood", weight=9]; 924 -> 407[label="",style="solid", color="burlywood", weight=3]; 349[label="primEqInt (Neg (Succ xv3100)) xv41",fontsize=16,color="burlywood",shape="box"];925[label="xv41/Pos xv410",fontsize=10,color="white",style="solid",shape="box"];349 -> 925[label="",style="solid", color="burlywood", weight=9]; 925 -> 408[label="",style="solid", color="burlywood", weight=3]; 926[label="xv41/Neg xv410",fontsize=10,color="white",style="solid",shape="box"];349 -> 926[label="",style="solid", color="burlywood", weight=9]; 926 -> 409[label="",style="solid", color="burlywood", weight=3]; 350[label="primEqInt (Neg Zero) xv41",fontsize=16,color="burlywood",shape="box"];927[label="xv41/Pos xv410",fontsize=10,color="white",style="solid",shape="box"];350 -> 927[label="",style="solid", color="burlywood", weight=9]; 927 -> 410[label="",style="solid", color="burlywood", weight=3]; 928[label="xv41/Neg xv410",fontsize=10,color="white",style="solid",shape="box"];350 -> 928[label="",style="solid", color="burlywood", weight=9]; 928 -> 411[label="",style="solid", color="burlywood", weight=3]; 351 -> 258[label="",style="dashed", color="red", weight=0]; 351[label="primEqInt xv310 xv410",fontsize=16,color="magenta"];351 -> 412[label="",style="dashed", color="magenta", weight=3]; 351 -> 413[label="",style="dashed", color="magenta", weight=3]; 352 -> 217[label="",style="dashed", color="red", weight=0]; 352[label="xv310 == xv410 && xv311 == xv411",fontsize=16,color="magenta"];352 -> 414[label="",style="dashed", color="magenta", weight=3]; 352 -> 415[label="",style="dashed", color="magenta", weight=3]; 353[label="True",fontsize=16,color="green",shape="box"];354[label="False",fontsize=16,color="green",shape="box"];355[label="False",fontsize=16,color="green",shape="box"];356[label="False",fontsize=16,color="green",shape="box"];357[label="True",fontsize=16,color="green",shape="box"];358[label="False",fontsize=16,color="green",shape="box"];359[label="False",fontsize=16,color="green",shape="box"];360[label="False",fontsize=16,color="green",shape="box"];361[label="True",fontsize=16,color="green",shape="box"];362[label="True",fontsize=16,color="green",shape="box"];363[label="False",fontsize=16,color="green",shape="box"];364[label="False",fontsize=16,color="green",shape="box"];365[label="xv310 == xv410",fontsize=16,color="blue",shape="box"];929[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];365 -> 929[label="",style="solid", color="blue", weight=9]; 929 -> 416[label="",style="solid", color="blue", weight=3]; 930[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];365 -> 930[label="",style="solid", color="blue", weight=9]; 930 -> 417[label="",style="solid", color="blue", weight=3]; 931[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];365 -> 931[label="",style="solid", color="blue", weight=9]; 931 -> 418[label="",style="solid", color="blue", weight=3]; 932[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];365 -> 932[label="",style="solid", color="blue", weight=9]; 932 -> 419[label="",style="solid", color="blue", weight=3]; 933[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];365 -> 933[label="",style="solid", color="blue", weight=9]; 933 -> 420[label="",style="solid", color="blue", weight=3]; 934[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];365 -> 934[label="",style="solid", color="blue", weight=9]; 934 -> 421[label="",style="solid", color="blue", weight=3]; 935[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];365 -> 935[label="",style="solid", color="blue", weight=9]; 935 -> 422[label="",style="solid", color="blue", weight=3]; 936[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];365 -> 936[label="",style="solid", color="blue", weight=9]; 936 -> 423[label="",style="solid", color="blue", weight=3]; 937[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];365 -> 937[label="",style="solid", color="blue", weight=9]; 937 -> 424[label="",style="solid", color="blue", weight=3]; 938[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];365 -> 938[label="",style="solid", color="blue", weight=9]; 938 -> 425[label="",style="solid", color="blue", weight=3]; 939[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];365 -> 939[label="",style="solid", color="blue", weight=9]; 939 -> 426[label="",style="solid", color="blue", weight=3]; 940[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];365 -> 940[label="",style="solid", color="blue", weight=9]; 940 -> 427[label="",style="solid", color="blue", weight=3]; 941[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];365 -> 941[label="",style="solid", color="blue", weight=9]; 941 -> 428[label="",style="solid", color="blue", weight=3]; 942[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];365 -> 942[label="",style="solid", color="blue", weight=9]; 942 -> 429[label="",style="solid", color="blue", weight=3]; 366 -> 217[label="",style="dashed", color="red", weight=0]; 366[label="xv310 == xv410 && xv311 == xv411",fontsize=16,color="magenta"];366 -> 430[label="",style="dashed", color="magenta", weight=3]; 366 -> 431[label="",style="dashed", color="magenta", weight=3]; 367[label="False",fontsize=16,color="green",shape="box"];368[label="False",fontsize=16,color="green",shape="box"];369[label="True",fontsize=16,color="green",shape="box"];370[label="primEqFloat (Float xv310 xv311) (Float xv410 xv411)",fontsize=16,color="black",shape="box"];370 -> 432[label="",style="solid", color="black", weight=3]; 371[label="True",fontsize=16,color="green",shape="box"];372[label="primEqDouble (Double xv310 xv311) (Double xv410 xv411)",fontsize=16,color="black",shape="box"];372 -> 433[label="",style="solid", color="black", weight=3]; 373 -> 222[label="",style="dashed", color="red", weight=0]; 373[label="xv310 == xv410",fontsize=16,color="magenta"];373 -> 434[label="",style="dashed", color="magenta", weight=3]; 373 -> 435[label="",style="dashed", color="magenta", weight=3]; 374 -> 223[label="",style="dashed", color="red", weight=0]; 374[label="xv310 == xv410",fontsize=16,color="magenta"];374 -> 436[label="",style="dashed", color="magenta", weight=3]; 374 -> 437[label="",style="dashed", color="magenta", weight=3]; 375 -> 224[label="",style="dashed", color="red", weight=0]; 375[label="xv310 == xv410",fontsize=16,color="magenta"];375 -> 438[label="",style="dashed", color="magenta", weight=3]; 375 -> 439[label="",style="dashed", color="magenta", weight=3]; 376 -> 225[label="",style="dashed", color="red", weight=0]; 376[label="xv310 == xv410",fontsize=16,color="magenta"];376 -> 440[label="",style="dashed", color="magenta", weight=3]; 376 -> 441[label="",style="dashed", color="magenta", weight=3]; 377 -> 226[label="",style="dashed", color="red", weight=0]; 377[label="xv310 == xv410",fontsize=16,color="magenta"];377 -> 442[label="",style="dashed", color="magenta", weight=3]; 377 -> 443[label="",style="dashed", color="magenta", weight=3]; 378 -> 227[label="",style="dashed", color="red", weight=0]; 378[label="xv310 == xv410",fontsize=16,color="magenta"];378 -> 444[label="",style="dashed", color="magenta", weight=3]; 378 -> 445[label="",style="dashed", color="magenta", weight=3]; 379 -> 228[label="",style="dashed", color="red", weight=0]; 379[label="xv310 == xv410",fontsize=16,color="magenta"];379 -> 446[label="",style="dashed", color="magenta", weight=3]; 379 -> 447[label="",style="dashed", color="magenta", weight=3]; 380 -> 229[label="",style="dashed", color="red", weight=0]; 380[label="xv310 == xv410",fontsize=16,color="magenta"];380 -> 448[label="",style="dashed", color="magenta", weight=3]; 380 -> 449[label="",style="dashed", color="magenta", weight=3]; 381 -> 230[label="",style="dashed", color="red", weight=0]; 381[label="xv310 == xv410",fontsize=16,color="magenta"];381 -> 450[label="",style="dashed", color="magenta", weight=3]; 381 -> 451[label="",style="dashed", color="magenta", weight=3]; 382 -> 231[label="",style="dashed", color="red", weight=0]; 382[label="xv310 == xv410",fontsize=16,color="magenta"];382 -> 452[label="",style="dashed", color="magenta", weight=3]; 382 -> 453[label="",style="dashed", color="magenta", weight=3]; 383 -> 232[label="",style="dashed", color="red", weight=0]; 383[label="xv310 == xv410",fontsize=16,color="magenta"];383 -> 454[label="",style="dashed", color="magenta", weight=3]; 383 -> 455[label="",style="dashed", color="magenta", weight=3]; 384 -> 233[label="",style="dashed", color="red", weight=0]; 384[label="xv310 == xv410",fontsize=16,color="magenta"];384 -> 456[label="",style="dashed", color="magenta", weight=3]; 384 -> 457[label="",style="dashed", color="magenta", weight=3]; 385 -> 234[label="",style="dashed", color="red", weight=0]; 385[label="xv310 == xv410",fontsize=16,color="magenta"];385 -> 458[label="",style="dashed", color="magenta", weight=3]; 385 -> 459[label="",style="dashed", color="magenta", weight=3]; 386 -> 4[label="",style="dashed", color="red", weight=0]; 386[label="xv310 == xv410",fontsize=16,color="magenta"];386 -> 460[label="",style="dashed", color="magenta", weight=3]; 386 -> 461[label="",style="dashed", color="magenta", weight=3]; 387 -> 222[label="",style="dashed", color="red", weight=0]; 387[label="xv310 == xv410",fontsize=16,color="magenta"];387 -> 462[label="",style="dashed", color="magenta", weight=3]; 387 -> 463[label="",style="dashed", color="magenta", weight=3]; 388 -> 223[label="",style="dashed", color="red", weight=0]; 388[label="xv310 == xv410",fontsize=16,color="magenta"];388 -> 464[label="",style="dashed", color="magenta", weight=3]; 388 -> 465[label="",style="dashed", color="magenta", weight=3]; 389 -> 224[label="",style="dashed", color="red", weight=0]; 389[label="xv310 == xv410",fontsize=16,color="magenta"];389 -> 466[label="",style="dashed", color="magenta", weight=3]; 389 -> 467[label="",style="dashed", color="magenta", weight=3]; 390 -> 225[label="",style="dashed", color="red", weight=0]; 390[label="xv310 == xv410",fontsize=16,color="magenta"];390 -> 468[label="",style="dashed", color="magenta", weight=3]; 390 -> 469[label="",style="dashed", color="magenta", weight=3]; 391 -> 226[label="",style="dashed", color="red", weight=0]; 391[label="xv310 == xv410",fontsize=16,color="magenta"];391 -> 470[label="",style="dashed", color="magenta", weight=3]; 391 -> 471[label="",style="dashed", color="magenta", weight=3]; 392 -> 227[label="",style="dashed", color="red", weight=0]; 392[label="xv310 == xv410",fontsize=16,color="magenta"];392 -> 472[label="",style="dashed", color="magenta", weight=3]; 392 -> 473[label="",style="dashed", color="magenta", weight=3]; 393 -> 228[label="",style="dashed", color="red", weight=0]; 393[label="xv310 == xv410",fontsize=16,color="magenta"];393 -> 474[label="",style="dashed", color="magenta", weight=3]; 393 -> 475[label="",style="dashed", color="magenta", weight=3]; 394 -> 229[label="",style="dashed", color="red", weight=0]; 394[label="xv310 == xv410",fontsize=16,color="magenta"];394 -> 476[label="",style="dashed", color="magenta", weight=3]; 394 -> 477[label="",style="dashed", color="magenta", weight=3]; 395 -> 230[label="",style="dashed", color="red", weight=0]; 395[label="xv310 == xv410",fontsize=16,color="magenta"];395 -> 478[label="",style="dashed", color="magenta", weight=3]; 395 -> 479[label="",style="dashed", color="magenta", weight=3]; 396 -> 231[label="",style="dashed", color="red", weight=0]; 396[label="xv310 == xv410",fontsize=16,color="magenta"];396 -> 480[label="",style="dashed", color="magenta", weight=3]; 396 -> 481[label="",style="dashed", color="magenta", weight=3]; 397 -> 232[label="",style="dashed", color="red", weight=0]; 397[label="xv310 == xv410",fontsize=16,color="magenta"];397 -> 482[label="",style="dashed", color="magenta", weight=3]; 397 -> 483[label="",style="dashed", color="magenta", weight=3]; 398 -> 233[label="",style="dashed", color="red", weight=0]; 398[label="xv310 == xv410",fontsize=16,color="magenta"];398 -> 484[label="",style="dashed", color="magenta", weight=3]; 398 -> 485[label="",style="dashed", color="magenta", weight=3]; 399 -> 234[label="",style="dashed", color="red", weight=0]; 399[label="xv310 == xv410",fontsize=16,color="magenta"];399 -> 486[label="",style="dashed", color="magenta", weight=3]; 399 -> 487[label="",style="dashed", color="magenta", weight=3]; 400 -> 4[label="",style="dashed", color="red", weight=0]; 400[label="xv310 == xv410",fontsize=16,color="magenta"];400 -> 488[label="",style="dashed", color="magenta", weight=3]; 400 -> 489[label="",style="dashed", color="magenta", weight=3]; 401[label="primEqNat xv310 xv410",fontsize=16,color="burlywood",shape="triangle"];943[label="xv310/Succ xv3100",fontsize=10,color="white",style="solid",shape="box"];401 -> 943[label="",style="solid", color="burlywood", weight=9]; 943 -> 490[label="",style="solid", color="burlywood", weight=3]; 944[label="xv310/Zero",fontsize=10,color="white",style="solid",shape="box"];401 -> 944[label="",style="solid", color="burlywood", weight=9]; 944 -> 491[label="",style="solid", color="burlywood", weight=3]; 402 -> 217[label="",style="dashed", color="red", weight=0]; 402[label="xv311 == xv411 && xv312 == xv412",fontsize=16,color="magenta"];402 -> 492[label="",style="dashed", color="magenta", weight=3]; 402 -> 493[label="",style="dashed", color="magenta", weight=3]; 403[label="xv310 == xv410",fontsize=16,color="blue",shape="box"];945[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];403 -> 945[label="",style="solid", color="blue", weight=9]; 945 -> 494[label="",style="solid", color="blue", weight=3]; 946[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];403 -> 946[label="",style="solid", color="blue", weight=9]; 946 -> 495[label="",style="solid", color="blue", weight=3]; 947[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];403 -> 947[label="",style="solid", color="blue", weight=9]; 947 -> 496[label="",style="solid", color="blue", weight=3]; 948[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];403 -> 948[label="",style="solid", color="blue", weight=9]; 948 -> 497[label="",style="solid", color="blue", weight=3]; 949[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];403 -> 949[label="",style="solid", color="blue", weight=9]; 949 -> 498[label="",style="solid", color="blue", weight=3]; 950[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];403 -> 950[label="",style="solid", color="blue", weight=9]; 950 -> 499[label="",style="solid", color="blue", weight=3]; 951[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];403 -> 951[label="",style="solid", color="blue", weight=9]; 951 -> 500[label="",style="solid", color="blue", weight=3]; 952[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];403 -> 952[label="",style="solid", color="blue", weight=9]; 952 -> 501[label="",style="solid", color="blue", weight=3]; 953[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];403 -> 953[label="",style="solid", color="blue", weight=9]; 953 -> 502[label="",style="solid", color="blue", weight=3]; 954[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];403 -> 954[label="",style="solid", color="blue", weight=9]; 954 -> 503[label="",style="solid", color="blue", weight=3]; 955[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];403 -> 955[label="",style="solid", color="blue", weight=9]; 955 -> 504[label="",style="solid", color="blue", weight=3]; 956[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];403 -> 956[label="",style="solid", color="blue", weight=9]; 956 -> 505[label="",style="solid", color="blue", weight=3]; 957[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];403 -> 957[label="",style="solid", color="blue", weight=9]; 957 -> 506[label="",style="solid", color="blue", weight=3]; 958[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];403 -> 958[label="",style="solid", color="blue", weight=9]; 958 -> 507[label="",style="solid", color="blue", weight=3]; 404[label="primEqInt (Pos (Succ xv3100)) (Pos xv410)",fontsize=16,color="burlywood",shape="box"];959[label="xv410/Succ xv4100",fontsize=10,color="white",style="solid",shape="box"];404 -> 959[label="",style="solid", color="burlywood", weight=9]; 959 -> 508[label="",style="solid", color="burlywood", weight=3]; 960[label="xv410/Zero",fontsize=10,color="white",style="solid",shape="box"];404 -> 960[label="",style="solid", color="burlywood", weight=9]; 960 -> 509[label="",style="solid", color="burlywood", weight=3]; 405[label="primEqInt (Pos (Succ xv3100)) (Neg xv410)",fontsize=16,color="black",shape="box"];405 -> 510[label="",style="solid", color="black", weight=3]; 406[label="primEqInt (Pos Zero) (Pos xv410)",fontsize=16,color="burlywood",shape="box"];961[label="xv410/Succ xv4100",fontsize=10,color="white",style="solid",shape="box"];406 -> 961[label="",style="solid", color="burlywood", weight=9]; 961 -> 511[label="",style="solid", color="burlywood", weight=3]; 962[label="xv410/Zero",fontsize=10,color="white",style="solid",shape="box"];406 -> 962[label="",style="solid", color="burlywood", weight=9]; 962 -> 512[label="",style="solid", color="burlywood", weight=3]; 407[label="primEqInt (Pos Zero) (Neg xv410)",fontsize=16,color="burlywood",shape="box"];963[label="xv410/Succ xv4100",fontsize=10,color="white",style="solid",shape="box"];407 -> 963[label="",style="solid", color="burlywood", weight=9]; 963 -> 513[label="",style="solid", color="burlywood", weight=3]; 964[label="xv410/Zero",fontsize=10,color="white",style="solid",shape="box"];407 -> 964[label="",style="solid", color="burlywood", weight=9]; 964 -> 514[label="",style="solid", color="burlywood", weight=3]; 408[label="primEqInt (Neg (Succ xv3100)) (Pos xv410)",fontsize=16,color="black",shape="box"];408 -> 515[label="",style="solid", color="black", weight=3]; 409[label="primEqInt (Neg (Succ xv3100)) (Neg xv410)",fontsize=16,color="burlywood",shape="box"];965[label="xv410/Succ xv4100",fontsize=10,color="white",style="solid",shape="box"];409 -> 965[label="",style="solid", color="burlywood", weight=9]; 965 -> 516[label="",style="solid", color="burlywood", weight=3]; 966[label="xv410/Zero",fontsize=10,color="white",style="solid",shape="box"];409 -> 966[label="",style="solid", color="burlywood", weight=9]; 966 -> 517[label="",style="solid", color="burlywood", weight=3]; 410[label="primEqInt (Neg Zero) (Pos xv410)",fontsize=16,color="burlywood",shape="box"];967[label="xv410/Succ xv4100",fontsize=10,color="white",style="solid",shape="box"];410 -> 967[label="",style="solid", color="burlywood", weight=9]; 967 -> 518[label="",style="solid", color="burlywood", weight=3]; 968[label="xv410/Zero",fontsize=10,color="white",style="solid",shape="box"];410 -> 968[label="",style="solid", color="burlywood", weight=9]; 968 -> 519[label="",style="solid", color="burlywood", weight=3]; 411[label="primEqInt (Neg Zero) (Neg xv410)",fontsize=16,color="burlywood",shape="box"];969[label="xv410/Succ xv4100",fontsize=10,color="white",style="solid",shape="box"];411 -> 969[label="",style="solid", color="burlywood", weight=9]; 969 -> 520[label="",style="solid", color="burlywood", weight=3]; 970[label="xv410/Zero",fontsize=10,color="white",style="solid",shape="box"];411 -> 970[label="",style="solid", color="burlywood", weight=9]; 970 -> 521[label="",style="solid", color="burlywood", weight=3]; 412[label="xv410",fontsize=16,color="green",shape="box"];413[label="xv310",fontsize=16,color="green",shape="box"];414[label="xv311 == xv411",fontsize=16,color="blue",shape="box"];971[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];414 -> 971[label="",style="solid", color="blue", weight=9]; 971 -> 522[label="",style="solid", color="blue", weight=3]; 972[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];414 -> 972[label="",style="solid", color="blue", weight=9]; 972 -> 523[label="",style="solid", color="blue", weight=3]; 415[label="xv310 == xv410",fontsize=16,color="blue",shape="box"];973[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];415 -> 973[label="",style="solid", color="blue", weight=9]; 973 -> 524[label="",style="solid", color="blue", weight=3]; 974[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];415 -> 974[label="",style="solid", color="blue", weight=9]; 974 -> 525[label="",style="solid", color="blue", weight=3]; 416 -> 222[label="",style="dashed", color="red", weight=0]; 416[label="xv310 == xv410",fontsize=16,color="magenta"];416 -> 526[label="",style="dashed", color="magenta", weight=3]; 416 -> 527[label="",style="dashed", color="magenta", weight=3]; 417 -> 223[label="",style="dashed", color="red", weight=0]; 417[label="xv310 == xv410",fontsize=16,color="magenta"];417 -> 528[label="",style="dashed", color="magenta", weight=3]; 417 -> 529[label="",style="dashed", color="magenta", weight=3]; 418 -> 224[label="",style="dashed", color="red", weight=0]; 418[label="xv310 == xv410",fontsize=16,color="magenta"];418 -> 530[label="",style="dashed", color="magenta", weight=3]; 418 -> 531[label="",style="dashed", color="magenta", weight=3]; 419 -> 225[label="",style="dashed", color="red", weight=0]; 419[label="xv310 == xv410",fontsize=16,color="magenta"];419 -> 532[label="",style="dashed", color="magenta", weight=3]; 419 -> 533[label="",style="dashed", color="magenta", weight=3]; 420 -> 226[label="",style="dashed", color="red", weight=0]; 420[label="xv310 == xv410",fontsize=16,color="magenta"];420 -> 534[label="",style="dashed", color="magenta", weight=3]; 420 -> 535[label="",style="dashed", color="magenta", weight=3]; 421 -> 227[label="",style="dashed", color="red", weight=0]; 421[label="xv310 == xv410",fontsize=16,color="magenta"];421 -> 536[label="",style="dashed", color="magenta", weight=3]; 421 -> 537[label="",style="dashed", color="magenta", weight=3]; 422 -> 228[label="",style="dashed", color="red", weight=0]; 422[label="xv310 == xv410",fontsize=16,color="magenta"];422 -> 538[label="",style="dashed", color="magenta", weight=3]; 422 -> 539[label="",style="dashed", color="magenta", weight=3]; 423 -> 229[label="",style="dashed", color="red", weight=0]; 423[label="xv310 == xv410",fontsize=16,color="magenta"];423 -> 540[label="",style="dashed", color="magenta", weight=3]; 423 -> 541[label="",style="dashed", color="magenta", weight=3]; 424 -> 230[label="",style="dashed", color="red", weight=0]; 424[label="xv310 == xv410",fontsize=16,color="magenta"];424 -> 542[label="",style="dashed", color="magenta", weight=3]; 424 -> 543[label="",style="dashed", color="magenta", weight=3]; 425 -> 231[label="",style="dashed", color="red", weight=0]; 425[label="xv310 == xv410",fontsize=16,color="magenta"];425 -> 544[label="",style="dashed", color="magenta", weight=3]; 425 -> 545[label="",style="dashed", color="magenta", weight=3]; 426 -> 232[label="",style="dashed", color="red", weight=0]; 426[label="xv310 == xv410",fontsize=16,color="magenta"];426 -> 546[label="",style="dashed", color="magenta", weight=3]; 426 -> 547[label="",style="dashed", color="magenta", weight=3]; 427 -> 233[label="",style="dashed", color="red", weight=0]; 427[label="xv310 == xv410",fontsize=16,color="magenta"];427 -> 548[label="",style="dashed", color="magenta", weight=3]; 427 -> 549[label="",style="dashed", color="magenta", weight=3]; 428 -> 234[label="",style="dashed", color="red", weight=0]; 428[label="xv310 == xv410",fontsize=16,color="magenta"];428 -> 550[label="",style="dashed", color="magenta", weight=3]; 428 -> 551[label="",style="dashed", color="magenta", weight=3]; 429 -> 4[label="",style="dashed", color="red", weight=0]; 429[label="xv310 == xv410",fontsize=16,color="magenta"];429 -> 552[label="",style="dashed", color="magenta", weight=3]; 429 -> 553[label="",style="dashed", color="magenta", weight=3]; 430 -> 231[label="",style="dashed", color="red", weight=0]; 430[label="xv311 == xv411",fontsize=16,color="magenta"];430 -> 554[label="",style="dashed", color="magenta", weight=3]; 430 -> 555[label="",style="dashed", color="magenta", weight=3]; 431[label="xv310 == xv410",fontsize=16,color="blue",shape="box"];975[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 975[label="",style="solid", color="blue", weight=9]; 975 -> 556[label="",style="solid", color="blue", weight=3]; 976[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 976[label="",style="solid", color="blue", weight=9]; 976 -> 557[label="",style="solid", color="blue", weight=3]; 977[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 977[label="",style="solid", color="blue", weight=9]; 977 -> 558[label="",style="solid", color="blue", weight=3]; 978[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 978[label="",style="solid", color="blue", weight=9]; 978 -> 559[label="",style="solid", color="blue", weight=3]; 979[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 979[label="",style="solid", color="blue", weight=9]; 979 -> 560[label="",style="solid", color="blue", weight=3]; 980[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 980[label="",style="solid", color="blue", weight=9]; 980 -> 561[label="",style="solid", color="blue", weight=3]; 981[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 981[label="",style="solid", color="blue", weight=9]; 981 -> 562[label="",style="solid", color="blue", weight=3]; 982[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 982[label="",style="solid", color="blue", weight=9]; 982 -> 563[label="",style="solid", color="blue", weight=3]; 983[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 983[label="",style="solid", color="blue", weight=9]; 983 -> 564[label="",style="solid", color="blue", weight=3]; 984[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 984[label="",style="solid", color="blue", weight=9]; 984 -> 565[label="",style="solid", color="blue", weight=3]; 985[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 985[label="",style="solid", color="blue", weight=9]; 985 -> 566[label="",style="solid", color="blue", weight=3]; 986[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 986[label="",style="solid", color="blue", weight=9]; 986 -> 567[label="",style="solid", color="blue", weight=3]; 987[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 987[label="",style="solid", color="blue", weight=9]; 987 -> 568[label="",style="solid", color="blue", weight=3]; 988[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 988[label="",style="solid", color="blue", weight=9]; 988 -> 569[label="",style="solid", color="blue", weight=3]; 432 -> 226[label="",style="dashed", color="red", weight=0]; 432[label="xv310 * xv411 == xv311 * xv410",fontsize=16,color="magenta"];432 -> 570[label="",style="dashed", color="magenta", weight=3]; 432 -> 571[label="",style="dashed", color="magenta", weight=3]; 433 -> 226[label="",style="dashed", color="red", weight=0]; 433[label="xv310 * xv411 == xv311 * xv410",fontsize=16,color="magenta"];433 -> 572[label="",style="dashed", color="magenta", weight=3]; 433 -> 573[label="",style="dashed", color="magenta", weight=3]; 434[label="xv410",fontsize=16,color="green",shape="box"];435[label="xv310",fontsize=16,color="green",shape="box"];436[label="xv410",fontsize=16,color="green",shape="box"];437[label="xv310",fontsize=16,color="green",shape="box"];438[label="xv410",fontsize=16,color="green",shape="box"];439[label="xv310",fontsize=16,color="green",shape="box"];440[label="xv410",fontsize=16,color="green",shape="box"];441[label="xv310",fontsize=16,color="green",shape="box"];442[label="xv410",fontsize=16,color="green",shape="box"];443[label="xv310",fontsize=16,color="green",shape="box"];444[label="xv410",fontsize=16,color="green",shape="box"];445[label="xv310",fontsize=16,color="green",shape="box"];446[label="xv410",fontsize=16,color="green",shape="box"];447[label="xv310",fontsize=16,color="green",shape="box"];448[label="xv410",fontsize=16,color="green",shape="box"];449[label="xv310",fontsize=16,color="green",shape="box"];450[label="xv410",fontsize=16,color="green",shape="box"];451[label="xv310",fontsize=16,color="green",shape="box"];452[label="xv410",fontsize=16,color="green",shape="box"];453[label="xv310",fontsize=16,color="green",shape="box"];454[label="xv410",fontsize=16,color="green",shape="box"];455[label="xv310",fontsize=16,color="green",shape="box"];456[label="xv410",fontsize=16,color="green",shape="box"];457[label="xv310",fontsize=16,color="green",shape="box"];458[label="xv410",fontsize=16,color="green",shape="box"];459[label="xv310",fontsize=16,color="green",shape="box"];460[label="xv410",fontsize=16,color="green",shape="box"];461[label="xv310",fontsize=16,color="green",shape="box"];462[label="xv410",fontsize=16,color="green",shape="box"];463[label="xv310",fontsize=16,color="green",shape="box"];464[label="xv410",fontsize=16,color="green",shape="box"];465[label="xv310",fontsize=16,color="green",shape="box"];466[label="xv410",fontsize=16,color="green",shape="box"];467[label="xv310",fontsize=16,color="green",shape="box"];468[label="xv410",fontsize=16,color="green",shape="box"];469[label="xv310",fontsize=16,color="green",shape="box"];470[label="xv410",fontsize=16,color="green",shape="box"];471[label="xv310",fontsize=16,color="green",shape="box"];472[label="xv410",fontsize=16,color="green",shape="box"];473[label="xv310",fontsize=16,color="green",shape="box"];474[label="xv410",fontsize=16,color="green",shape="box"];475[label="xv310",fontsize=16,color="green",shape="box"];476[label="xv410",fontsize=16,color="green",shape="box"];477[label="xv310",fontsize=16,color="green",shape="box"];478[label="xv410",fontsize=16,color="green",shape="box"];479[label="xv310",fontsize=16,color="green",shape="box"];480[label="xv410",fontsize=16,color="green",shape="box"];481[label="xv310",fontsize=16,color="green",shape="box"];482[label="xv410",fontsize=16,color="green",shape="box"];483[label="xv310",fontsize=16,color="green",shape="box"];484[label="xv410",fontsize=16,color="green",shape="box"];485[label="xv310",fontsize=16,color="green",shape="box"];486[label="xv410",fontsize=16,color="green",shape="box"];487[label="xv310",fontsize=16,color="green",shape="box"];488[label="xv410",fontsize=16,color="green",shape="box"];489[label="xv310",fontsize=16,color="green",shape="box"];490[label="primEqNat (Succ xv3100) xv410",fontsize=16,color="burlywood",shape="box"];989[label="xv410/Succ xv4100",fontsize=10,color="white",style="solid",shape="box"];490 -> 989[label="",style="solid", color="burlywood", weight=9]; 989 -> 574[label="",style="solid", color="burlywood", weight=3]; 990[label="xv410/Zero",fontsize=10,color="white",style="solid",shape="box"];490 -> 990[label="",style="solid", color="burlywood", weight=9]; 990 -> 575[label="",style="solid", color="burlywood", weight=3]; 491[label="primEqNat Zero xv410",fontsize=16,color="burlywood",shape="box"];991[label="xv410/Succ xv4100",fontsize=10,color="white",style="solid",shape="box"];491 -> 991[label="",style="solid", color="burlywood", weight=9]; 991 -> 576[label="",style="solid", color="burlywood", weight=3]; 992[label="xv410/Zero",fontsize=10,color="white",style="solid",shape="box"];491 -> 992[label="",style="solid", color="burlywood", weight=9]; 992 -> 577[label="",style="solid", color="burlywood", weight=3]; 492[label="xv312 == xv412",fontsize=16,color="blue",shape="box"];993[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];492 -> 993[label="",style="solid", color="blue", weight=9]; 993 -> 578[label="",style="solid", color="blue", weight=3]; 994[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];492 -> 994[label="",style="solid", color="blue", weight=9]; 994 -> 579[label="",style="solid", color="blue", weight=3]; 995[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];492 -> 995[label="",style="solid", color="blue", weight=9]; 995 -> 580[label="",style="solid", color="blue", weight=3]; 996[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];492 -> 996[label="",style="solid", color="blue", weight=9]; 996 -> 581[label="",style="solid", color="blue", weight=3]; 997[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];492 -> 997[label="",style="solid", color="blue", weight=9]; 997 -> 582[label="",style="solid", color="blue", weight=3]; 998[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];492 -> 998[label="",style="solid", color="blue", weight=9]; 998 -> 583[label="",style="solid", color="blue", weight=3]; 999[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];492 -> 999[label="",style="solid", color="blue", weight=9]; 999 -> 584[label="",style="solid", color="blue", weight=3]; 1000[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];492 -> 1000[label="",style="solid", color="blue", weight=9]; 1000 -> 585[label="",style="solid", color="blue", weight=3]; 1001[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];492 -> 1001[label="",style="solid", color="blue", weight=9]; 1001 -> 586[label="",style="solid", color="blue", weight=3]; 1002[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];492 -> 1002[label="",style="solid", color="blue", weight=9]; 1002 -> 587[label="",style="solid", color="blue", weight=3]; 1003[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];492 -> 1003[label="",style="solid", color="blue", weight=9]; 1003 -> 588[label="",style="solid", color="blue", weight=3]; 1004[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];492 -> 1004[label="",style="solid", color="blue", weight=9]; 1004 -> 589[label="",style="solid", color="blue", weight=3]; 1005[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];492 -> 1005[label="",style="solid", color="blue", weight=9]; 1005 -> 590[label="",style="solid", color="blue", weight=3]; 1006[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];492 -> 1006[label="",style="solid", color="blue", weight=9]; 1006 -> 591[label="",style="solid", color="blue", weight=3]; 493[label="xv311 == xv411",fontsize=16,color="blue",shape="box"];1007[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];493 -> 1007[label="",style="solid", color="blue", weight=9]; 1007 -> 592[label="",style="solid", color="blue", weight=3]; 1008[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];493 -> 1008[label="",style="solid", color="blue", weight=9]; 1008 -> 593[label="",style="solid", color="blue", weight=3]; 1009[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];493 -> 1009[label="",style="solid", color="blue", weight=9]; 1009 -> 594[label="",style="solid", color="blue", weight=3]; 1010[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];493 -> 1010[label="",style="solid", color="blue", weight=9]; 1010 -> 595[label="",style="solid", color="blue", weight=3]; 1011[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];493 -> 1011[label="",style="solid", color="blue", weight=9]; 1011 -> 596[label="",style="solid", color="blue", weight=3]; 1012[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];493 -> 1012[label="",style="solid", color="blue", weight=9]; 1012 -> 597[label="",style="solid", color="blue", weight=3]; 1013[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];493 -> 1013[label="",style="solid", color="blue", weight=9]; 1013 -> 598[label="",style="solid", color="blue", weight=3]; 1014[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];493 -> 1014[label="",style="solid", color="blue", weight=9]; 1014 -> 599[label="",style="solid", color="blue", weight=3]; 1015[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];493 -> 1015[label="",style="solid", color="blue", weight=9]; 1015 -> 600[label="",style="solid", color="blue", weight=3]; 1016[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];493 -> 1016[label="",style="solid", color="blue", weight=9]; 1016 -> 601[label="",style="solid", color="blue", weight=3]; 1017[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];493 -> 1017[label="",style="solid", color="blue", weight=9]; 1017 -> 602[label="",style="solid", color="blue", weight=3]; 1018[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];493 -> 1018[label="",style="solid", color="blue", weight=9]; 1018 -> 603[label="",style="solid", color="blue", weight=3]; 1019[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];493 -> 1019[label="",style="solid", color="blue", weight=9]; 1019 -> 604[label="",style="solid", color="blue", weight=3]; 1020[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];493 -> 1020[label="",style="solid", color="blue", weight=9]; 1020 -> 605[label="",style="solid", color="blue", weight=3]; 494 -> 222[label="",style="dashed", color="red", weight=0]; 494[label="xv310 == xv410",fontsize=16,color="magenta"];494 -> 606[label="",style="dashed", color="magenta", weight=3]; 494 -> 607[label="",style="dashed", color="magenta", weight=3]; 495 -> 223[label="",style="dashed", color="red", weight=0]; 495[label="xv310 == xv410",fontsize=16,color="magenta"];495 -> 608[label="",style="dashed", color="magenta", weight=3]; 495 -> 609[label="",style="dashed", color="magenta", weight=3]; 496 -> 224[label="",style="dashed", color="red", weight=0]; 496[label="xv310 == xv410",fontsize=16,color="magenta"];496 -> 610[label="",style="dashed", color="magenta", weight=3]; 496 -> 611[label="",style="dashed", color="magenta", weight=3]; 497 -> 225[label="",style="dashed", color="red", weight=0]; 497[label="xv310 == xv410",fontsize=16,color="magenta"];497 -> 612[label="",style="dashed", color="magenta", weight=3]; 497 -> 613[label="",style="dashed", color="magenta", weight=3]; 498 -> 226[label="",style="dashed", color="red", weight=0]; 498[label="xv310 == xv410",fontsize=16,color="magenta"];498 -> 614[label="",style="dashed", color="magenta", weight=3]; 498 -> 615[label="",style="dashed", color="magenta", weight=3]; 499 -> 227[label="",style="dashed", color="red", weight=0]; 499[label="xv310 == xv410",fontsize=16,color="magenta"];499 -> 616[label="",style="dashed", color="magenta", weight=3]; 499 -> 617[label="",style="dashed", color="magenta", weight=3]; 500 -> 228[label="",style="dashed", color="red", weight=0]; 500[label="xv310 == xv410",fontsize=16,color="magenta"];500 -> 618[label="",style="dashed", color="magenta", weight=3]; 500 -> 619[label="",style="dashed", color="magenta", weight=3]; 501 -> 229[label="",style="dashed", color="red", weight=0]; 501[label="xv310 == xv410",fontsize=16,color="magenta"];501 -> 620[label="",style="dashed", color="magenta", weight=3]; 501 -> 621[label="",style="dashed", color="magenta", weight=3]; 502 -> 230[label="",style="dashed", color="red", weight=0]; 502[label="xv310 == xv410",fontsize=16,color="magenta"];502 -> 622[label="",style="dashed", color="magenta", weight=3]; 502 -> 623[label="",style="dashed", color="magenta", weight=3]; 503 -> 231[label="",style="dashed", color="red", weight=0]; 503[label="xv310 == xv410",fontsize=16,color="magenta"];503 -> 624[label="",style="dashed", color="magenta", weight=3]; 503 -> 625[label="",style="dashed", color="magenta", weight=3]; 504 -> 232[label="",style="dashed", color="red", weight=0]; 504[label="xv310 == xv410",fontsize=16,color="magenta"];504 -> 626[label="",style="dashed", color="magenta", weight=3]; 504 -> 627[label="",style="dashed", color="magenta", weight=3]; 505 -> 233[label="",style="dashed", color="red", weight=0]; 505[label="xv310 == xv410",fontsize=16,color="magenta"];505 -> 628[label="",style="dashed", color="magenta", weight=3]; 505 -> 629[label="",style="dashed", color="magenta", weight=3]; 506 -> 234[label="",style="dashed", color="red", weight=0]; 506[label="xv310 == xv410",fontsize=16,color="magenta"];506 -> 630[label="",style="dashed", color="magenta", weight=3]; 506 -> 631[label="",style="dashed", color="magenta", weight=3]; 507 -> 4[label="",style="dashed", color="red", weight=0]; 507[label="xv310 == xv410",fontsize=16,color="magenta"];507 -> 632[label="",style="dashed", color="magenta", weight=3]; 507 -> 633[label="",style="dashed", color="magenta", weight=3]; 508[label="primEqInt (Pos (Succ xv3100)) (Pos (Succ xv4100))",fontsize=16,color="black",shape="box"];508 -> 634[label="",style="solid", color="black", weight=3]; 509[label="primEqInt (Pos (Succ xv3100)) (Pos Zero)",fontsize=16,color="black",shape="box"];509 -> 635[label="",style="solid", color="black", weight=3]; 510[label="False",fontsize=16,color="green",shape="box"];511[label="primEqInt (Pos Zero) (Pos (Succ xv4100))",fontsize=16,color="black",shape="box"];511 -> 636[label="",style="solid", color="black", weight=3]; 512[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];512 -> 637[label="",style="solid", color="black", weight=3]; 513[label="primEqInt (Pos Zero) (Neg (Succ xv4100))",fontsize=16,color="black",shape="box"];513 -> 638[label="",style="solid", color="black", weight=3]; 514[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];514 -> 639[label="",style="solid", color="black", weight=3]; 515[label="False",fontsize=16,color="green",shape="box"];516[label="primEqInt (Neg (Succ xv3100)) (Neg (Succ xv4100))",fontsize=16,color="black",shape="box"];516 -> 640[label="",style="solid", color="black", weight=3]; 517[label="primEqInt (Neg (Succ xv3100)) (Neg Zero)",fontsize=16,color="black",shape="box"];517 -> 641[label="",style="solid", color="black", weight=3]; 518[label="primEqInt (Neg Zero) (Pos (Succ xv4100))",fontsize=16,color="black",shape="box"];518 -> 642[label="",style="solid", color="black", weight=3]; 519[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];519 -> 643[label="",style="solid", color="black", weight=3]; 520[label="primEqInt (Neg Zero) (Neg (Succ xv4100))",fontsize=16,color="black",shape="box"];520 -> 644[label="",style="solid", color="black", weight=3]; 521[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];521 -> 645[label="",style="solid", color="black", weight=3]; 522 -> 226[label="",style="dashed", color="red", weight=0]; 522[label="xv311 == xv411",fontsize=16,color="magenta"];522 -> 646[label="",style="dashed", color="magenta", weight=3]; 522 -> 647[label="",style="dashed", color="magenta", weight=3]; 523 -> 227[label="",style="dashed", color="red", weight=0]; 523[label="xv311 == xv411",fontsize=16,color="magenta"];523 -> 648[label="",style="dashed", color="magenta", weight=3]; 523 -> 649[label="",style="dashed", color="magenta", weight=3]; 524 -> 226[label="",style="dashed", color="red", weight=0]; 524[label="xv310 == xv410",fontsize=16,color="magenta"];524 -> 650[label="",style="dashed", color="magenta", weight=3]; 524 -> 651[label="",style="dashed", color="magenta", weight=3]; 525 -> 227[label="",style="dashed", color="red", weight=0]; 525[label="xv310 == xv410",fontsize=16,color="magenta"];525 -> 652[label="",style="dashed", color="magenta", weight=3]; 525 -> 653[label="",style="dashed", color="magenta", weight=3]; 526[label="xv410",fontsize=16,color="green",shape="box"];527[label="xv310",fontsize=16,color="green",shape="box"];528[label="xv410",fontsize=16,color="green",shape="box"];529[label="xv310",fontsize=16,color="green",shape="box"];530[label="xv410",fontsize=16,color="green",shape="box"];531[label="xv310",fontsize=16,color="green",shape="box"];532[label="xv410",fontsize=16,color="green",shape="box"];533[label="xv310",fontsize=16,color="green",shape="box"];534[label="xv410",fontsize=16,color="green",shape="box"];535[label="xv310",fontsize=16,color="green",shape="box"];536[label="xv410",fontsize=16,color="green",shape="box"];537[label="xv310",fontsize=16,color="green",shape="box"];538[label="xv410",fontsize=16,color="green",shape="box"];539[label="xv310",fontsize=16,color="green",shape="box"];540[label="xv410",fontsize=16,color="green",shape="box"];541[label="xv310",fontsize=16,color="green",shape="box"];542[label="xv410",fontsize=16,color="green",shape="box"];543[label="xv310",fontsize=16,color="green",shape="box"];544[label="xv410",fontsize=16,color="green",shape="box"];545[label="xv310",fontsize=16,color="green",shape="box"];546[label="xv410",fontsize=16,color="green",shape="box"];547[label="xv310",fontsize=16,color="green",shape="box"];548[label="xv410",fontsize=16,color="green",shape="box"];549[label="xv310",fontsize=16,color="green",shape="box"];550[label="xv410",fontsize=16,color="green",shape="box"];551[label="xv310",fontsize=16,color="green",shape="box"];552[label="xv410",fontsize=16,color="green",shape="box"];553[label="xv310",fontsize=16,color="green",shape="box"];554[label="xv411",fontsize=16,color="green",shape="box"];555[label="xv311",fontsize=16,color="green",shape="box"];556 -> 222[label="",style="dashed", color="red", weight=0]; 556[label="xv310 == xv410",fontsize=16,color="magenta"];556 -> 654[label="",style="dashed", color="magenta", weight=3]; 556 -> 655[label="",style="dashed", color="magenta", weight=3]; 557 -> 223[label="",style="dashed", color="red", weight=0]; 557[label="xv310 == xv410",fontsize=16,color="magenta"];557 -> 656[label="",style="dashed", color="magenta", weight=3]; 557 -> 657[label="",style="dashed", color="magenta", weight=3]; 558 -> 224[label="",style="dashed", color="red", weight=0]; 558[label="xv310 == xv410",fontsize=16,color="magenta"];558 -> 658[label="",style="dashed", color="magenta", weight=3]; 558 -> 659[label="",style="dashed", color="magenta", weight=3]; 559 -> 225[label="",style="dashed", color="red", weight=0]; 559[label="xv310 == xv410",fontsize=16,color="magenta"];559 -> 660[label="",style="dashed", color="magenta", weight=3]; 559 -> 661[label="",style="dashed", color="magenta", weight=3]; 560 -> 226[label="",style="dashed", color="red", weight=0]; 560[label="xv310 == xv410",fontsize=16,color="magenta"];560 -> 662[label="",style="dashed", color="magenta", weight=3]; 560 -> 663[label="",style="dashed", color="magenta", weight=3]; 561 -> 227[label="",style="dashed", color="red", weight=0]; 561[label="xv310 == xv410",fontsize=16,color="magenta"];561 -> 664[label="",style="dashed", color="magenta", weight=3]; 561 -> 665[label="",style="dashed", color="magenta", weight=3]; 562 -> 228[label="",style="dashed", color="red", weight=0]; 562[label="xv310 == xv410",fontsize=16,color="magenta"];562 -> 666[label="",style="dashed", color="magenta", weight=3]; 562 -> 667[label="",style="dashed", color="magenta", weight=3]; 563 -> 229[label="",style="dashed", color="red", weight=0]; 563[label="xv310 == xv410",fontsize=16,color="magenta"];563 -> 668[label="",style="dashed", color="magenta", weight=3]; 563 -> 669[label="",style="dashed", color="magenta", weight=3]; 564 -> 230[label="",style="dashed", color="red", weight=0]; 564[label="xv310 == xv410",fontsize=16,color="magenta"];564 -> 670[label="",style="dashed", color="magenta", weight=3]; 564 -> 671[label="",style="dashed", color="magenta", weight=3]; 565 -> 231[label="",style="dashed", color="red", weight=0]; 565[label="xv310 == xv410",fontsize=16,color="magenta"];565 -> 672[label="",style="dashed", color="magenta", weight=3]; 565 -> 673[label="",style="dashed", color="magenta", weight=3]; 566 -> 232[label="",style="dashed", color="red", weight=0]; 566[label="xv310 == xv410",fontsize=16,color="magenta"];566 -> 674[label="",style="dashed", color="magenta", weight=3]; 566 -> 675[label="",style="dashed", color="magenta", weight=3]; 567 -> 233[label="",style="dashed", color="red", weight=0]; 567[label="xv310 == xv410",fontsize=16,color="magenta"];567 -> 676[label="",style="dashed", color="magenta", weight=3]; 567 -> 677[label="",style="dashed", color="magenta", weight=3]; 568 -> 234[label="",style="dashed", color="red", weight=0]; 568[label="xv310 == xv410",fontsize=16,color="magenta"];568 -> 678[label="",style="dashed", color="magenta", weight=3]; 568 -> 679[label="",style="dashed", color="magenta", weight=3]; 569 -> 4[label="",style="dashed", color="red", weight=0]; 569[label="xv310 == xv410",fontsize=16,color="magenta"];569 -> 680[label="",style="dashed", color="magenta", weight=3]; 569 -> 681[label="",style="dashed", color="magenta", weight=3]; 570[label="xv311 * xv410",fontsize=16,color="black",shape="triangle"];570 -> 682[label="",style="solid", color="black", weight=3]; 571 -> 570[label="",style="dashed", color="red", weight=0]; 571[label="xv310 * xv411",fontsize=16,color="magenta"];571 -> 683[label="",style="dashed", color="magenta", weight=3]; 571 -> 684[label="",style="dashed", color="magenta", weight=3]; 572 -> 570[label="",style="dashed", color="red", weight=0]; 572[label="xv311 * xv410",fontsize=16,color="magenta"];572 -> 685[label="",style="dashed", color="magenta", weight=3]; 572 -> 686[label="",style="dashed", color="magenta", weight=3]; 573 -> 570[label="",style="dashed", color="red", weight=0]; 573[label="xv310 * xv411",fontsize=16,color="magenta"];573 -> 687[label="",style="dashed", color="magenta", weight=3]; 573 -> 688[label="",style="dashed", color="magenta", weight=3]; 574[label="primEqNat (Succ xv3100) (Succ xv4100)",fontsize=16,color="black",shape="box"];574 -> 689[label="",style="solid", color="black", weight=3]; 575[label="primEqNat (Succ xv3100) Zero",fontsize=16,color="black",shape="box"];575 -> 690[label="",style="solid", color="black", weight=3]; 576[label="primEqNat Zero (Succ xv4100)",fontsize=16,color="black",shape="box"];576 -> 691[label="",style="solid", color="black", weight=3]; 577[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];577 -> 692[label="",style="solid", color="black", weight=3]; 578 -> 222[label="",style="dashed", color="red", weight=0]; 578[label="xv312 == xv412",fontsize=16,color="magenta"];578 -> 693[label="",style="dashed", color="magenta", weight=3]; 578 -> 694[label="",style="dashed", color="magenta", weight=3]; 579 -> 223[label="",style="dashed", color="red", weight=0]; 579[label="xv312 == xv412",fontsize=16,color="magenta"];579 -> 695[label="",style="dashed", color="magenta", weight=3]; 579 -> 696[label="",style="dashed", color="magenta", weight=3]; 580 -> 224[label="",style="dashed", color="red", weight=0]; 580[label="xv312 == xv412",fontsize=16,color="magenta"];580 -> 697[label="",style="dashed", color="magenta", weight=3]; 580 -> 698[label="",style="dashed", color="magenta", weight=3]; 581 -> 225[label="",style="dashed", color="red", weight=0]; 581[label="xv312 == xv412",fontsize=16,color="magenta"];581 -> 699[label="",style="dashed", color="magenta", weight=3]; 581 -> 700[label="",style="dashed", color="magenta", weight=3]; 582 -> 226[label="",style="dashed", color="red", weight=0]; 582[label="xv312 == xv412",fontsize=16,color="magenta"];582 -> 701[label="",style="dashed", color="magenta", weight=3]; 582 -> 702[label="",style="dashed", color="magenta", weight=3]; 583 -> 227[label="",style="dashed", color="red", weight=0]; 583[label="xv312 == xv412",fontsize=16,color="magenta"];583 -> 703[label="",style="dashed", color="magenta", weight=3]; 583 -> 704[label="",style="dashed", color="magenta", weight=3]; 584 -> 228[label="",style="dashed", color="red", weight=0]; 584[label="xv312 == xv412",fontsize=16,color="magenta"];584 -> 705[label="",style="dashed", color="magenta", weight=3]; 584 -> 706[label="",style="dashed", color="magenta", weight=3]; 585 -> 229[label="",style="dashed", color="red", weight=0]; 585[label="xv312 == xv412",fontsize=16,color="magenta"];585 -> 707[label="",style="dashed", color="magenta", weight=3]; 585 -> 708[label="",style="dashed", color="magenta", weight=3]; 586 -> 230[label="",style="dashed", color="red", weight=0]; 586[label="xv312 == xv412",fontsize=16,color="magenta"];586 -> 709[label="",style="dashed", color="magenta", weight=3]; 586 -> 710[label="",style="dashed", color="magenta", weight=3]; 587 -> 231[label="",style="dashed", color="red", weight=0]; 587[label="xv312 == xv412",fontsize=16,color="magenta"];587 -> 711[label="",style="dashed", color="magenta", weight=3]; 587 -> 712[label="",style="dashed", color="magenta", weight=3]; 588 -> 232[label="",style="dashed", color="red", weight=0]; 588[label="xv312 == xv412",fontsize=16,color="magenta"];588 -> 713[label="",style="dashed", color="magenta", weight=3]; 588 -> 714[label="",style="dashed", color="magenta", weight=3]; 589 -> 233[label="",style="dashed", color="red", weight=0]; 589[label="xv312 == xv412",fontsize=16,color="magenta"];589 -> 715[label="",style="dashed", color="magenta", weight=3]; 589 -> 716[label="",style="dashed", color="magenta", weight=3]; 590 -> 234[label="",style="dashed", color="red", weight=0]; 590[label="xv312 == xv412",fontsize=16,color="magenta"];590 -> 717[label="",style="dashed", color="magenta", weight=3]; 590 -> 718[label="",style="dashed", color="magenta", weight=3]; 591 -> 4[label="",style="dashed", color="red", weight=0]; 591[label="xv312 == xv412",fontsize=16,color="magenta"];591 -> 719[label="",style="dashed", color="magenta", weight=3]; 591 -> 720[label="",style="dashed", color="magenta", weight=3]; 592 -> 222[label="",style="dashed", color="red", weight=0]; 592[label="xv311 == xv411",fontsize=16,color="magenta"];592 -> 721[label="",style="dashed", color="magenta", weight=3]; 592 -> 722[label="",style="dashed", color="magenta", weight=3]; 593 -> 223[label="",style="dashed", color="red", weight=0]; 593[label="xv311 == xv411",fontsize=16,color="magenta"];593 -> 723[label="",style="dashed", color="magenta", weight=3]; 593 -> 724[label="",style="dashed", color="magenta", weight=3]; 594 -> 224[label="",style="dashed", color="red", weight=0]; 594[label="xv311 == xv411",fontsize=16,color="magenta"];594 -> 725[label="",style="dashed", color="magenta", weight=3]; 594 -> 726[label="",style="dashed", color="magenta", weight=3]; 595 -> 225[label="",style="dashed", color="red", weight=0]; 595[label="xv311 == xv411",fontsize=16,color="magenta"];595 -> 727[label="",style="dashed", color="magenta", weight=3]; 595 -> 728[label="",style="dashed", color="magenta", weight=3]; 596 -> 226[label="",style="dashed", color="red", weight=0]; 596[label="xv311 == xv411",fontsize=16,color="magenta"];596 -> 729[label="",style="dashed", color="magenta", weight=3]; 596 -> 730[label="",style="dashed", color="magenta", weight=3]; 597 -> 227[label="",style="dashed", color="red", weight=0]; 597[label="xv311 == xv411",fontsize=16,color="magenta"];597 -> 731[label="",style="dashed", color="magenta", weight=3]; 597 -> 732[label="",style="dashed", color="magenta", weight=3]; 598 -> 228[label="",style="dashed", color="red", weight=0]; 598[label="xv311 == xv411",fontsize=16,color="magenta"];598 -> 733[label="",style="dashed", color="magenta", weight=3]; 598 -> 734[label="",style="dashed", color="magenta", weight=3]; 599 -> 229[label="",style="dashed", color="red", weight=0]; 599[label="xv311 == xv411",fontsize=16,color="magenta"];599 -> 735[label="",style="dashed", color="magenta", weight=3]; 599 -> 736[label="",style="dashed", color="magenta", weight=3]; 600 -> 230[label="",style="dashed", color="red", weight=0]; 600[label="xv311 == xv411",fontsize=16,color="magenta"];600 -> 737[label="",style="dashed", color="magenta", weight=3]; 600 -> 738[label="",style="dashed", color="magenta", weight=3]; 601 -> 231[label="",style="dashed", color="red", weight=0]; 601[label="xv311 == xv411",fontsize=16,color="magenta"];601 -> 739[label="",style="dashed", color="magenta", weight=3]; 601 -> 740[label="",style="dashed", color="magenta", weight=3]; 602 -> 232[label="",style="dashed", color="red", weight=0]; 602[label="xv311 == xv411",fontsize=16,color="magenta"];602 -> 741[label="",style="dashed", color="magenta", weight=3]; 602 -> 742[label="",style="dashed", color="magenta", weight=3]; 603 -> 233[label="",style="dashed", color="red", weight=0]; 603[label="xv311 == xv411",fontsize=16,color="magenta"];603 -> 743[label="",style="dashed", color="magenta", weight=3]; 603 -> 744[label="",style="dashed", color="magenta", weight=3]; 604 -> 234[label="",style="dashed", color="red", weight=0]; 604[label="xv311 == xv411",fontsize=16,color="magenta"];604 -> 745[label="",style="dashed", color="magenta", weight=3]; 604 -> 746[label="",style="dashed", color="magenta", weight=3]; 605 -> 4[label="",style="dashed", color="red", weight=0]; 605[label="xv311 == xv411",fontsize=16,color="magenta"];605 -> 747[label="",style="dashed", color="magenta", weight=3]; 605 -> 748[label="",style="dashed", color="magenta", weight=3]; 606[label="xv410",fontsize=16,color="green",shape="box"];607[label="xv310",fontsize=16,color="green",shape="box"];608[label="xv410",fontsize=16,color="green",shape="box"];609[label="xv310",fontsize=16,color="green",shape="box"];610[label="xv410",fontsize=16,color="green",shape="box"];611[label="xv310",fontsize=16,color="green",shape="box"];612[label="xv410",fontsize=16,color="green",shape="box"];613[label="xv310",fontsize=16,color="green",shape="box"];614[label="xv410",fontsize=16,color="green",shape="box"];615[label="xv310",fontsize=16,color="green",shape="box"];616[label="xv410",fontsize=16,color="green",shape="box"];617[label="xv310",fontsize=16,color="green",shape="box"];618[label="xv410",fontsize=16,color="green",shape="box"];619[label="xv310",fontsize=16,color="green",shape="box"];620[label="xv410",fontsize=16,color="green",shape="box"];621[label="xv310",fontsize=16,color="green",shape="box"];622[label="xv410",fontsize=16,color="green",shape="box"];623[label="xv310",fontsize=16,color="green",shape="box"];624[label="xv410",fontsize=16,color="green",shape="box"];625[label="xv310",fontsize=16,color="green",shape="box"];626[label="xv410",fontsize=16,color="green",shape="box"];627[label="xv310",fontsize=16,color="green",shape="box"];628[label="xv410",fontsize=16,color="green",shape="box"];629[label="xv310",fontsize=16,color="green",shape="box"];630[label="xv410",fontsize=16,color="green",shape="box"];631[label="xv310",fontsize=16,color="green",shape="box"];632[label="xv410",fontsize=16,color="green",shape="box"];633[label="xv310",fontsize=16,color="green",shape="box"];634 -> 401[label="",style="dashed", color="red", weight=0]; 634[label="primEqNat xv3100 xv4100",fontsize=16,color="magenta"];634 -> 749[label="",style="dashed", color="magenta", weight=3]; 634 -> 750[label="",style="dashed", color="magenta", weight=3]; 635[label="False",fontsize=16,color="green",shape="box"];636[label="False",fontsize=16,color="green",shape="box"];637[label="True",fontsize=16,color="green",shape="box"];638[label="False",fontsize=16,color="green",shape="box"];639[label="True",fontsize=16,color="green",shape="box"];640 -> 401[label="",style="dashed", color="red", weight=0]; 640[label="primEqNat xv3100 xv4100",fontsize=16,color="magenta"];640 -> 751[label="",style="dashed", color="magenta", weight=3]; 640 -> 752[label="",style="dashed", color="magenta", weight=3]; 641[label="False",fontsize=16,color="green",shape="box"];642[label="False",fontsize=16,color="green",shape="box"];643[label="True",fontsize=16,color="green",shape="box"];644[label="False",fontsize=16,color="green",shape="box"];645[label="True",fontsize=16,color="green",shape="box"];646[label="xv411",fontsize=16,color="green",shape="box"];647[label="xv311",fontsize=16,color="green",shape="box"];648[label="xv411",fontsize=16,color="green",shape="box"];649[label="xv311",fontsize=16,color="green",shape="box"];650[label="xv410",fontsize=16,color="green",shape="box"];651[label="xv310",fontsize=16,color="green",shape="box"];652[label="xv410",fontsize=16,color="green",shape="box"];653[label="xv310",fontsize=16,color="green",shape="box"];654[label="xv410",fontsize=16,color="green",shape="box"];655[label="xv310",fontsize=16,color="green",shape="box"];656[label="xv410",fontsize=16,color="green",shape="box"];657[label="xv310",fontsize=16,color="green",shape="box"];658[label="xv410",fontsize=16,color="green",shape="box"];659[label="xv310",fontsize=16,color="green",shape="box"];660[label="xv410",fontsize=16,color="green",shape="box"];661[label="xv310",fontsize=16,color="green",shape="box"];662[label="xv410",fontsize=16,color="green",shape="box"];663[label="xv310",fontsize=16,color="green",shape="box"];664[label="xv410",fontsize=16,color="green",shape="box"];665[label="xv310",fontsize=16,color="green",shape="box"];666[label="xv410",fontsize=16,color="green",shape="box"];667[label="xv310",fontsize=16,color="green",shape="box"];668[label="xv410",fontsize=16,color="green",shape="box"];669[label="xv310",fontsize=16,color="green",shape="box"];670[label="xv410",fontsize=16,color="green",shape="box"];671[label="xv310",fontsize=16,color="green",shape="box"];672[label="xv410",fontsize=16,color="green",shape="box"];673[label="xv310",fontsize=16,color="green",shape="box"];674[label="xv410",fontsize=16,color="green",shape="box"];675[label="xv310",fontsize=16,color="green",shape="box"];676[label="xv410",fontsize=16,color="green",shape="box"];677[label="xv310",fontsize=16,color="green",shape="box"];678[label="xv410",fontsize=16,color="green",shape="box"];679[label="xv310",fontsize=16,color="green",shape="box"];680[label="xv410",fontsize=16,color="green",shape="box"];681[label="xv310",fontsize=16,color="green",shape="box"];682[label="primMulInt xv311 xv410",fontsize=16,color="burlywood",shape="box"];1021[label="xv311/Pos xv3110",fontsize=10,color="white",style="solid",shape="box"];682 -> 1021[label="",style="solid", color="burlywood", weight=9]; 1021 -> 753[label="",style="solid", color="burlywood", weight=3]; 1022[label="xv311/Neg xv3110",fontsize=10,color="white",style="solid",shape="box"];682 -> 1022[label="",style="solid", color="burlywood", weight=9]; 1022 -> 754[label="",style="solid", color="burlywood", weight=3]; 683[label="xv411",fontsize=16,color="green",shape="box"];684[label="xv310",fontsize=16,color="green",shape="box"];685[label="xv410",fontsize=16,color="green",shape="box"];686[label="xv311",fontsize=16,color="green",shape="box"];687[label="xv411",fontsize=16,color="green",shape="box"];688[label="xv310",fontsize=16,color="green",shape="box"];689 -> 401[label="",style="dashed", color="red", weight=0]; 689[label="primEqNat xv3100 xv4100",fontsize=16,color="magenta"];689 -> 755[label="",style="dashed", color="magenta", weight=3]; 689 -> 756[label="",style="dashed", color="magenta", weight=3]; 690[label="False",fontsize=16,color="green",shape="box"];691[label="False",fontsize=16,color="green",shape="box"];692[label="True",fontsize=16,color="green",shape="box"];693[label="xv412",fontsize=16,color="green",shape="box"];694[label="xv312",fontsize=16,color="green",shape="box"];695[label="xv412",fontsize=16,color="green",shape="box"];696[label="xv312",fontsize=16,color="green",shape="box"];697[label="xv412",fontsize=16,color="green",shape="box"];698[label="xv312",fontsize=16,color="green",shape="box"];699[label="xv412",fontsize=16,color="green",shape="box"];700[label="xv312",fontsize=16,color="green",shape="box"];701[label="xv412",fontsize=16,color="green",shape="box"];702[label="xv312",fontsize=16,color="green",shape="box"];703[label="xv412",fontsize=16,color="green",shape="box"];704[label="xv312",fontsize=16,color="green",shape="box"];705[label="xv412",fontsize=16,color="green",shape="box"];706[label="xv312",fontsize=16,color="green",shape="box"];707[label="xv412",fontsize=16,color="green",shape="box"];708[label="xv312",fontsize=16,color="green",shape="box"];709[label="xv412",fontsize=16,color="green",shape="box"];710[label="xv312",fontsize=16,color="green",shape="box"];711[label="xv412",fontsize=16,color="green",shape="box"];712[label="xv312",fontsize=16,color="green",shape="box"];713[label="xv412",fontsize=16,color="green",shape="box"];714[label="xv312",fontsize=16,color="green",shape="box"];715[label="xv412",fontsize=16,color="green",shape="box"];716[label="xv312",fontsize=16,color="green",shape="box"];717[label="xv412",fontsize=16,color="green",shape="box"];718[label="xv312",fontsize=16,color="green",shape="box"];719[label="xv412",fontsize=16,color="green",shape="box"];720[label="xv312",fontsize=16,color="green",shape="box"];721[label="xv411",fontsize=16,color="green",shape="box"];722[label="xv311",fontsize=16,color="green",shape="box"];723[label="xv411",fontsize=16,color="green",shape="box"];724[label="xv311",fontsize=16,color="green",shape="box"];725[label="xv411",fontsize=16,color="green",shape="box"];726[label="xv311",fontsize=16,color="green",shape="box"];727[label="xv411",fontsize=16,color="green",shape="box"];728[label="xv311",fontsize=16,color="green",shape="box"];729[label="xv411",fontsize=16,color="green",shape="box"];730[label="xv311",fontsize=16,color="green",shape="box"];731[label="xv411",fontsize=16,color="green",shape="box"];732[label="xv311",fontsize=16,color="green",shape="box"];733[label="xv411",fontsize=16,color="green",shape="box"];734[label="xv311",fontsize=16,color="green",shape="box"];735[label="xv411",fontsize=16,color="green",shape="box"];736[label="xv311",fontsize=16,color="green",shape="box"];737[label="xv411",fontsize=16,color="green",shape="box"];738[label="xv311",fontsize=16,color="green",shape="box"];739[label="xv411",fontsize=16,color="green",shape="box"];740[label="xv311",fontsize=16,color="green",shape="box"];741[label="xv411",fontsize=16,color="green",shape="box"];742[label="xv311",fontsize=16,color="green",shape="box"];743[label="xv411",fontsize=16,color="green",shape="box"];744[label="xv311",fontsize=16,color="green",shape="box"];745[label="xv411",fontsize=16,color="green",shape="box"];746[label="xv311",fontsize=16,color="green",shape="box"];747[label="xv411",fontsize=16,color="green",shape="box"];748[label="xv311",fontsize=16,color="green",shape="box"];749[label="xv4100",fontsize=16,color="green",shape="box"];750[label="xv3100",fontsize=16,color="green",shape="box"];751[label="xv4100",fontsize=16,color="green",shape="box"];752[label="xv3100",fontsize=16,color="green",shape="box"];753[label="primMulInt (Pos xv3110) xv410",fontsize=16,color="burlywood",shape="box"];1023[label="xv410/Pos xv4100",fontsize=10,color="white",style="solid",shape="box"];753 -> 1023[label="",style="solid", color="burlywood", weight=9]; 1023 -> 757[label="",style="solid", color="burlywood", weight=3]; 1024[label="xv410/Neg xv4100",fontsize=10,color="white",style="solid",shape="box"];753 -> 1024[label="",style="solid", color="burlywood", weight=9]; 1024 -> 758[label="",style="solid", color="burlywood", weight=3]; 754[label="primMulInt (Neg xv3110) xv410",fontsize=16,color="burlywood",shape="box"];1025[label="xv410/Pos xv4100",fontsize=10,color="white",style="solid",shape="box"];754 -> 1025[label="",style="solid", color="burlywood", weight=9]; 1025 -> 759[label="",style="solid", color="burlywood", weight=3]; 1026[label="xv410/Neg xv4100",fontsize=10,color="white",style="solid",shape="box"];754 -> 1026[label="",style="solid", color="burlywood", weight=9]; 1026 -> 760[label="",style="solid", color="burlywood", weight=3]; 755[label="xv4100",fontsize=16,color="green",shape="box"];756[label="xv3100",fontsize=16,color="green",shape="box"];757[label="primMulInt (Pos xv3110) (Pos xv4100)",fontsize=16,color="black",shape="box"];757 -> 761[label="",style="solid", color="black", weight=3]; 758[label="primMulInt (Pos xv3110) (Neg xv4100)",fontsize=16,color="black",shape="box"];758 -> 762[label="",style="solid", color="black", weight=3]; 759[label="primMulInt (Neg xv3110) (Pos xv4100)",fontsize=16,color="black",shape="box"];759 -> 763[label="",style="solid", color="black", weight=3]; 760[label="primMulInt (Neg xv3110) (Neg xv4100)",fontsize=16,color="black",shape="box"];760 -> 764[label="",style="solid", color="black", weight=3]; 761[label="Pos (primMulNat xv3110 xv4100)",fontsize=16,color="green",shape="box"];761 -> 765[label="",style="dashed", color="green", weight=3]; 762[label="Neg (primMulNat xv3110 xv4100)",fontsize=16,color="green",shape="box"];762 -> 766[label="",style="dashed", color="green", weight=3]; 763[label="Neg (primMulNat xv3110 xv4100)",fontsize=16,color="green",shape="box"];763 -> 767[label="",style="dashed", color="green", weight=3]; 764[label="Pos (primMulNat xv3110 xv4100)",fontsize=16,color="green",shape="box"];764 -> 768[label="",style="dashed", color="green", weight=3]; 765[label="primMulNat xv3110 xv4100",fontsize=16,color="burlywood",shape="triangle"];1027[label="xv3110/Succ xv31100",fontsize=10,color="white",style="solid",shape="box"];765 -> 1027[label="",style="solid", color="burlywood", weight=9]; 1027 -> 769[label="",style="solid", color="burlywood", weight=3]; 1028[label="xv3110/Zero",fontsize=10,color="white",style="solid",shape="box"];765 -> 1028[label="",style="solid", color="burlywood", weight=9]; 1028 -> 770[label="",style="solid", color="burlywood", weight=3]; 766 -> 765[label="",style="dashed", color="red", weight=0]; 766[label="primMulNat xv3110 xv4100",fontsize=16,color="magenta"];766 -> 771[label="",style="dashed", color="magenta", weight=3]; 767 -> 765[label="",style="dashed", color="red", weight=0]; 767[label="primMulNat xv3110 xv4100",fontsize=16,color="magenta"];767 -> 772[label="",style="dashed", color="magenta", weight=3]; 768 -> 765[label="",style="dashed", color="red", weight=0]; 768[label="primMulNat xv3110 xv4100",fontsize=16,color="magenta"];768 -> 773[label="",style="dashed", color="magenta", weight=3]; 768 -> 774[label="",style="dashed", color="magenta", weight=3]; 769[label="primMulNat (Succ xv31100) xv4100",fontsize=16,color="burlywood",shape="box"];1029[label="xv4100/Succ xv41000",fontsize=10,color="white",style="solid",shape="box"];769 -> 1029[label="",style="solid", color="burlywood", weight=9]; 1029 -> 775[label="",style="solid", color="burlywood", weight=3]; 1030[label="xv4100/Zero",fontsize=10,color="white",style="solid",shape="box"];769 -> 1030[label="",style="solid", color="burlywood", weight=9]; 1030 -> 776[label="",style="solid", color="burlywood", weight=3]; 770[label="primMulNat Zero xv4100",fontsize=16,color="burlywood",shape="box"];1031[label="xv4100/Succ xv41000",fontsize=10,color="white",style="solid",shape="box"];770 -> 1031[label="",style="solid", color="burlywood", weight=9]; 1031 -> 777[label="",style="solid", color="burlywood", weight=3]; 1032[label="xv4100/Zero",fontsize=10,color="white",style="solid",shape="box"];770 -> 1032[label="",style="solid", color="burlywood", weight=9]; 1032 -> 778[label="",style="solid", color="burlywood", weight=3]; 771[label="xv4100",fontsize=16,color="green",shape="box"];772[label="xv3110",fontsize=16,color="green",shape="box"];773[label="xv4100",fontsize=16,color="green",shape="box"];774[label="xv3110",fontsize=16,color="green",shape="box"];775[label="primMulNat (Succ xv31100) (Succ xv41000)",fontsize=16,color="black",shape="box"];775 -> 779[label="",style="solid", color="black", weight=3]; 776[label="primMulNat (Succ xv31100) Zero",fontsize=16,color="black",shape="box"];776 -> 780[label="",style="solid", color="black", weight=3]; 777[label="primMulNat Zero (Succ xv41000)",fontsize=16,color="black",shape="box"];777 -> 781[label="",style="solid", color="black", weight=3]; 778[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];778 -> 782[label="",style="solid", color="black", weight=3]; 779 -> 783[label="",style="dashed", color="red", weight=0]; 779[label="primPlusNat (primMulNat xv31100 (Succ xv41000)) (Succ xv41000)",fontsize=16,color="magenta"];779 -> 784[label="",style="dashed", color="magenta", weight=3]; 780[label="Zero",fontsize=16,color="green",shape="box"];781[label="Zero",fontsize=16,color="green",shape="box"];782[label="Zero",fontsize=16,color="green",shape="box"];784 -> 765[label="",style="dashed", color="red", weight=0]; 784[label="primMulNat xv31100 (Succ xv41000)",fontsize=16,color="magenta"];784 -> 785[label="",style="dashed", color="magenta", weight=3]; 784 -> 786[label="",style="dashed", color="magenta", weight=3]; 783[label="primPlusNat xv18 (Succ xv41000)",fontsize=16,color="burlywood",shape="triangle"];1033[label="xv18/Succ xv180",fontsize=10,color="white",style="solid",shape="box"];783 -> 1033[label="",style="solid", color="burlywood", weight=9]; 1033 -> 787[label="",style="solid", color="burlywood", weight=3]; 1034[label="xv18/Zero",fontsize=10,color="white",style="solid",shape="box"];783 -> 1034[label="",style="solid", color="burlywood", weight=9]; 1034 -> 788[label="",style="solid", color="burlywood", weight=3]; 785[label="Succ xv41000",fontsize=16,color="green",shape="box"];786[label="xv31100",fontsize=16,color="green",shape="box"];787[label="primPlusNat (Succ xv180) (Succ xv41000)",fontsize=16,color="black",shape="box"];787 -> 789[label="",style="solid", color="black", weight=3]; 788[label="primPlusNat Zero (Succ xv41000)",fontsize=16,color="black",shape="box"];788 -> 790[label="",style="solid", color="black", weight=3]; 789[label="Succ (Succ (primPlusNat xv180 xv41000))",fontsize=16,color="green",shape="box"];789 -> 791[label="",style="dashed", color="green", weight=3]; 790[label="Succ xv41000",fontsize=16,color="green",shape="box"];791[label="primPlusNat xv180 xv41000",fontsize=16,color="burlywood",shape="triangle"];1035[label="xv180/Succ xv1800",fontsize=10,color="white",style="solid",shape="box"];791 -> 1035[label="",style="solid", color="burlywood", weight=9]; 1035 -> 792[label="",style="solid", color="burlywood", weight=3]; 1036[label="xv180/Zero",fontsize=10,color="white",style="solid",shape="box"];791 -> 1036[label="",style="solid", color="burlywood", weight=9]; 1036 -> 793[label="",style="solid", color="burlywood", weight=3]; 792[label="primPlusNat (Succ xv1800) xv41000",fontsize=16,color="burlywood",shape="box"];1037[label="xv41000/Succ xv410000",fontsize=10,color="white",style="solid",shape="box"];792 -> 1037[label="",style="solid", color="burlywood", weight=9]; 1037 -> 794[label="",style="solid", color="burlywood", weight=3]; 1038[label="xv41000/Zero",fontsize=10,color="white",style="solid",shape="box"];792 -> 1038[label="",style="solid", color="burlywood", weight=9]; 1038 -> 795[label="",style="solid", color="burlywood", weight=3]; 793[label="primPlusNat Zero xv41000",fontsize=16,color="burlywood",shape="box"];1039[label="xv41000/Succ xv410000",fontsize=10,color="white",style="solid",shape="box"];793 -> 1039[label="",style="solid", color="burlywood", weight=9]; 1039 -> 796[label="",style="solid", color="burlywood", weight=3]; 1040[label="xv41000/Zero",fontsize=10,color="white",style="solid",shape="box"];793 -> 1040[label="",style="solid", color="burlywood", weight=9]; 1040 -> 797[label="",style="solid", color="burlywood", weight=3]; 794[label="primPlusNat (Succ xv1800) (Succ xv410000)",fontsize=16,color="black",shape="box"];794 -> 798[label="",style="solid", color="black", weight=3]; 795[label="primPlusNat (Succ xv1800) Zero",fontsize=16,color="black",shape="box"];795 -> 799[label="",style="solid", color="black", weight=3]; 796[label="primPlusNat Zero (Succ xv410000)",fontsize=16,color="black",shape="box"];796 -> 800[label="",style="solid", color="black", weight=3]; 797[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];797 -> 801[label="",style="solid", color="black", weight=3]; 798[label="Succ (Succ (primPlusNat xv1800 xv410000))",fontsize=16,color="green",shape="box"];798 -> 802[label="",style="dashed", color="green", weight=3]; 799[label="Succ xv1800",fontsize=16,color="green",shape="box"];800[label="Succ xv410000",fontsize=16,color="green",shape="box"];801[label="Zero",fontsize=16,color="green",shape="box"];802 -> 791[label="",style="dashed", color="red", weight=0]; 802[label="primPlusNat xv1800 xv410000",fontsize=16,color="magenta"];802 -> 803[label="",style="dashed", color="magenta", weight=3]; 802 -> 804[label="",style="dashed", color="magenta", weight=3]; 803[label="xv410000",fontsize=16,color="green",shape="box"];804[label="xv1800",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(Left(xv310), Left(xv410), app(app(app(ty_@3, bc), bd), be), bb) -> new_esEs0(xv310, xv410, bc, bd, be) new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), bbg, app(app(app(ty_@3, de), app(app(app(ty_@3, fc), fd), ff)), fb)) -> new_esEs0(xv311, xv411, fc, fd, ff) new_esEs0(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), app(ty_Maybe, gh), df, fb) -> new_esEs1(xv310, xv410, gh) new_esEs(Right(xv310), Right(xv410), cb, app(app(app(ty_@3, ce), cf), cg)) -> new_esEs0(xv310, xv410, ce, cf, cg) new_esEs2(:(xv310, xv311), :(xv410, xv411), bae) -> new_esEs2(xv311, xv411, bae) new_esEs3(@2(xv30, Left(xv310)), @2(xv40, Left(xv410)), bbg, app(app(ty_Either, app(app(ty_@2, bh), ca)), bb)) -> new_esEs3(xv310, xv410, bh, ca) new_esEs0(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), app(app(ty_Either, gc), gd), df, fb) -> new_esEs(xv310, xv410, gc, gd) new_esEs3(@2(xv30, xv31), @2(xv40, xv41), app(app(app(ty_@3, bce), bcf), bcg), bcd) -> new_esEs0(xv30, xv40, bce, bcf, bcg) new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), bbg, app(app(app(ty_@3, app(ty_[], ha)), df), fb)) -> new_esEs2(xv310, xv410, ha) new_esEs0(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), de, df, app(ty_Maybe, ed)) -> new_esEs1(xv312, xv412, ed) new_esEs(Left(xv310), Left(xv410), app(app(ty_@2, bh), ca), bb) -> new_esEs3(xv310, xv410, bh, ca) new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), bbg, app(app(app(ty_@3, app(app(ty_Either, gc), gd)), df), fb)) -> new_esEs(xv310, xv410, gc, gd) new_esEs0(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), de, app(ty_Maybe, fg), fb) -> new_esEs1(xv311, xv411, fg) new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), bbg, app(app(app(ty_@3, app(app(app(ty_@3, ge), gf), gg)), df), fb)) -> new_esEs0(xv310, xv410, ge, gf, gg) new_esEs1(Just(xv310), Just(xv410), app(app(ty_Either, hd), he)) -> new_esEs(xv310, xv410, hd, he) new_esEs0(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), de, df, app(app(ty_Either, dg), dh)) -> new_esEs(xv312, xv412, dg, dh) new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), bbg, app(app(app(ty_@3, de), df), app(ty_[], ee))) -> new_esEs2(xv312, xv412, ee) new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), bbg, app(app(app(ty_@3, de), app(ty_Maybe, fg)), fb)) -> new_esEs1(xv311, xv411, fg) new_esEs3(@2(xv30, Left(xv310)), @2(xv40, Left(xv410)), bbg, app(app(ty_Either, app(app(ty_Either, h), ba)), bb)) -> new_esEs(xv310, xv410, h, ba) new_esEs0(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), app(app(ty_@2, hb), hc), df, fb) -> new_esEs3(xv310, xv410, hb, hc) new_esEs2(:(xv310, xv311), :(xv410, xv411), app(app(ty_Either, baf), bag)) -> new_esEs(xv310, xv410, baf, bag) new_esEs3(@2(xv30, xv31), @2(xv40, xv41), app(ty_Maybe, bch), bcd) -> new_esEs1(xv30, xv40, bch) new_esEs2(:(xv310, xv311), :(xv410, xv411), app(app(ty_@2, bbe), bbf)) -> new_esEs3(xv310, xv410, bbe, bbf) new_esEs3(@2(xv30, Right(xv310)), @2(xv40, Right(xv410)), bbg, app(app(ty_Either, cb), app(app(ty_@2, dc), dd))) -> new_esEs3(xv310, xv410, dc, dd) new_esEs(Right(xv310), Right(xv410), cb, app(ty_Maybe, da)) -> new_esEs1(xv310, xv410, da) new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), bbg, app(app(app(ty_@3, app(ty_Maybe, gh)), df), fb)) -> new_esEs1(xv310, xv410, gh) new_esEs3(@2(xv30, :(xv310, xv311)), @2(xv40, :(xv410, xv411)), bbg, app(ty_[], bae)) -> new_esEs2(xv311, xv411, bae) new_esEs3(@2(xv30, :(xv310, xv311)), @2(xv40, :(xv410, xv411)), bbg, app(ty_[], app(app(ty_@2, bbe), bbf))) -> new_esEs3(xv310, xv410, bbe, bbf) new_esEs3(@2(xv30, Just(xv310)), @2(xv40, Just(xv410)), bbg, app(ty_Maybe, app(ty_[], bab))) -> new_esEs2(xv310, xv410, bab) new_esEs3(@2(xv30, xv31), @2(xv40, xv41), app(ty_[], bda), bcd) -> new_esEs2(xv30, xv40, bda) new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), bbg, app(app(app(ty_@3, de), df), app(app(ty_@2, ef), eg))) -> new_esEs3(xv312, xv412, ef, eg) new_esEs1(Just(xv310), Just(xv410), app(ty_[], bab)) -> new_esEs2(xv310, xv410, bab) new_esEs3(@2(xv30, Left(xv310)), @2(xv40, Left(xv410)), bbg, app(app(ty_Either, app(app(app(ty_@3, bc), bd), be)), bb)) -> new_esEs0(xv310, xv410, bc, bd, be) new_esEs3(@2(xv30, Left(xv310)), @2(xv40, Left(xv410)), bbg, app(app(ty_Either, app(ty_Maybe, bf)), bb)) -> new_esEs1(xv310, xv410, bf) new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), bbg, app(app(app(ty_@3, de), df), app(app(ty_Either, dg), dh))) -> new_esEs(xv312, xv412, dg, dh) new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), bbg, app(app(app(ty_@3, de), df), app(app(app(ty_@3, ea), eb), ec))) -> new_esEs0(xv312, xv412, ea, eb, ec) new_esEs0(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), de, df, app(ty_[], ee)) -> new_esEs2(xv312, xv412, ee) new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), bbg, app(app(app(ty_@3, de), app(ty_[], fh)), fb)) -> new_esEs2(xv311, xv411, fh) new_esEs3(@2(xv30, Just(xv310)), @2(xv40, Just(xv410)), bbg, app(ty_Maybe, app(app(ty_Either, hd), he))) -> new_esEs(xv310, xv410, hd, he) new_esEs1(Just(xv310), Just(xv410), app(ty_Maybe, baa)) -> new_esEs1(xv310, xv410, baa) new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), bbg, app(app(app(ty_@3, de), df), app(ty_Maybe, ed))) -> new_esEs1(xv312, xv412, ed) new_esEs0(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), app(ty_[], ha), df, fb) -> new_esEs2(xv310, xv410, ha) new_esEs3(@2(xv30, :(xv310, xv311)), @2(xv40, :(xv410, xv411)), bbg, app(ty_[], app(app(app(ty_@3, bah), bba), bbb))) -> new_esEs0(xv310, xv410, bah, bba, bbb) new_esEs3(@2(xv30, Right(xv310)), @2(xv40, Right(xv410)), bbg, app(app(ty_Either, cb), app(app(ty_Either, cc), cd))) -> new_esEs(xv310, xv410, cc, cd) new_esEs3(@2(xv30, :(xv310, xv311)), @2(xv40, :(xv410, xv411)), bbg, app(ty_[], app(app(ty_Either, baf), bag))) -> new_esEs(xv310, xv410, baf, bag) new_esEs3(@2(xv30, Just(xv310)), @2(xv40, Just(xv410)), bbg, app(ty_Maybe, app(ty_Maybe, baa))) -> new_esEs1(xv310, xv410, baa) new_esEs3(@2(xv30, Left(xv310)), @2(xv40, Left(xv410)), bbg, app(app(ty_Either, app(ty_[], bg)), bb)) -> new_esEs2(xv310, xv410, bg) new_esEs3(@2(xv30, :(xv310, xv311)), @2(xv40, :(xv410, xv411)), bbg, app(ty_[], app(ty_[], bbd))) -> new_esEs2(xv310, xv410, bbd) new_esEs0(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), de, app(app(app(ty_@3, fc), fd), ff), fb) -> new_esEs0(xv311, xv411, fc, fd, ff) new_esEs2(:(xv310, xv311), :(xv410, xv411), app(app(app(ty_@3, bah), bba), bbb)) -> new_esEs0(xv310, xv410, bah, bba, bbb) new_esEs3(@2(xv30, Right(xv310)), @2(xv40, Right(xv410)), bbg, app(app(ty_Either, cb), app(app(app(ty_@3, ce), cf), cg))) -> new_esEs0(xv310, xv410, ce, cf, cg) new_esEs(Right(xv310), Right(xv410), cb, app(app(ty_@2, dc), dd)) -> new_esEs3(xv310, xv410, dc, dd) new_esEs0(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), de, app(app(ty_@2, ga), gb), fb) -> new_esEs3(xv311, xv411, ga, gb) new_esEs1(Just(xv310), Just(xv410), app(app(ty_@2, bac), bad)) -> new_esEs3(xv310, xv410, bac, bad) new_esEs3(@2(xv30, xv31), @2(xv40, xv41), bbg, app(app(ty_@2, bbh), bca)) -> new_esEs3(xv31, xv41, bbh, bca) new_esEs0(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), de, df, app(app(app(ty_@3, ea), eb), ec)) -> new_esEs0(xv312, xv412, ea, eb, ec) new_esEs1(Just(xv310), Just(xv410), app(app(app(ty_@3, hf), hg), hh)) -> new_esEs0(xv310, xv410, hf, hg, hh) new_esEs(Right(xv310), Right(xv410), cb, app(app(ty_Either, cc), cd)) -> new_esEs(xv310, xv410, cc, cd) new_esEs0(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), de, app(app(ty_Either, eh), fa), fb) -> new_esEs(xv311, xv411, eh, fa) new_esEs3(@2(xv30, Right(xv310)), @2(xv40, Right(xv410)), bbg, app(app(ty_Either, cb), app(ty_Maybe, da))) -> new_esEs1(xv310, xv410, da) new_esEs3(@2(xv30, Just(xv310)), @2(xv40, Just(xv410)), bbg, app(ty_Maybe, app(app(ty_@2, bac), bad))) -> new_esEs3(xv310, xv410, bac, bad) new_esEs3(@2(xv30, :(xv310, xv311)), @2(xv40, :(xv410, xv411)), bbg, app(ty_[], app(ty_Maybe, bbc))) -> new_esEs1(xv310, xv410, bbc) new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), bbg, app(app(app(ty_@3, app(app(ty_@2, hb), hc)), df), fb)) -> new_esEs3(xv310, xv410, hb, hc) new_esEs(Right(xv310), Right(xv410), cb, app(ty_[], db)) -> new_esEs2(xv310, xv410, db) new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), bbg, app(app(app(ty_@3, de), app(app(ty_Either, eh), fa)), fb)) -> new_esEs(xv311, xv411, eh, fa) new_esEs3(@2(xv30, xv31), @2(xv40, xv41), app(app(ty_@2, bdb), bdc), bcd) -> new_esEs3(xv30, xv40, bdb, bdc) new_esEs(Left(xv310), Left(xv410), app(app(ty_Either, h), ba), bb) -> new_esEs(xv310, xv410, h, ba) new_esEs2(:(xv310, xv311), :(xv410, xv411), app(ty_[], bbd)) -> new_esEs2(xv310, xv410, bbd) new_esEs0(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), de, df, app(app(ty_@2, ef), eg)) -> new_esEs3(xv312, xv412, ef, eg) new_esEs(Left(xv310), Left(xv410), app(ty_[], bg), bb) -> new_esEs2(xv310, xv410, bg) new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), bbg, app(app(app(ty_@3, de), app(app(ty_@2, ga), gb)), fb)) -> new_esEs3(xv311, xv411, ga, gb) new_esEs(Left(xv310), Left(xv410), app(ty_Maybe, bf), bb) -> new_esEs1(xv310, xv410, bf) new_esEs3(@2(xv30, Right(xv310)), @2(xv40, Right(xv410)), bbg, app(app(ty_Either, cb), app(ty_[], db))) -> new_esEs2(xv310, xv410, db) new_esEs0(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), de, app(ty_[], fh), fb) -> new_esEs2(xv311, xv411, fh) new_esEs3(@2(xv30, xv31), @2(xv40, xv41), app(app(ty_Either, bcb), bcc), bcd) -> new_esEs(xv30, xv40, bcb, bcc) new_esEs0(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), app(app(app(ty_@3, ge), gf), gg), df, fb) -> new_esEs0(xv310, xv410, ge, gf, gg) new_esEs2(:(xv310, xv311), :(xv410, xv411), app(ty_Maybe, bbc)) -> new_esEs1(xv310, xv410, bbc) new_esEs3(@2(xv30, Just(xv310)), @2(xv40, Just(xv410)), bbg, app(ty_Maybe, app(app(app(ty_@3, hf), hg), hh))) -> new_esEs0(xv310, xv410, hf, hg, hh) 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(xv310), Just(xv410), app(app(ty_Either, hd), he)) -> new_esEs(xv310, xv410, hd, he) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(xv310), Just(xv410), app(app(ty_@2, bac), bad)) -> new_esEs3(xv310, xv410, bac, bad) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(xv310), Just(xv410), app(app(app(ty_@3, hf), hg), hh)) -> new_esEs0(xv310, xv410, hf, hg, hh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(:(xv310, xv311), :(xv410, xv411), app(app(ty_Either, baf), bag)) -> new_esEs(xv310, xv410, baf, bag) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(:(xv310, xv311), :(xv410, xv411), app(app(ty_@2, bbe), bbf)) -> new_esEs3(xv310, xv410, bbe, bbf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(xv310), Just(xv410), app(ty_[], bab)) -> new_esEs2(xv310, xv410, bab) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Just(xv310), Just(xv410), app(ty_Maybe, baa)) -> new_esEs1(xv310, xv410, baa) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(:(xv310, xv311), :(xv410, xv411), app(app(app(ty_@3, bah), bba), bbb)) -> new_esEs0(xv310, xv410, bah, bba, bbb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(:(xv310, xv311), :(xv410, xv411), app(ty_Maybe, bbc)) -> new_esEs1(xv310, xv410, bbc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), app(app(ty_Either, gc), gd), df, fb) -> new_esEs(xv310, xv410, gc, gd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), de, df, app(app(ty_Either, dg), dh)) -> new_esEs(xv312, xv412, dg, dh) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs0(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), de, app(app(ty_Either, eh), fa), fb) -> new_esEs(xv311, xv411, eh, fa) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), app(app(ty_@2, hb), hc), df, fb) -> new_esEs3(xv310, xv410, hb, hc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), de, app(app(ty_@2, ga), gb), fb) -> new_esEs3(xv311, xv411, ga, gb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), de, df, app(app(ty_@2, ef), eg)) -> new_esEs3(xv312, xv412, ef, eg) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs0(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), de, app(app(app(ty_@3, fc), fd), ff), fb) -> new_esEs0(xv311, xv411, fc, fd, ff) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs0(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), de, df, app(app(app(ty_@3, ea), eb), ec)) -> new_esEs0(xv312, xv412, ea, eb, ec) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs0(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), app(app(app(ty_@3, ge), gf), gg), df, fb) -> new_esEs0(xv310, xv410, ge, gf, gg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), de, df, app(ty_[], ee)) -> new_esEs2(xv312, xv412, ee) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs0(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), app(ty_[], ha), df, fb) -> new_esEs2(xv310, xv410, ha) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), de, app(ty_[], fh), fb) -> new_esEs2(xv311, xv411, fh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), app(ty_Maybe, gh), df, fb) -> new_esEs1(xv310, xv410, gh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), de, df, app(ty_Maybe, ed)) -> new_esEs1(xv312, xv412, ed) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs0(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), de, app(ty_Maybe, fg), fb) -> new_esEs1(xv311, xv411, fg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), bbg, app(app(app(ty_@3, app(app(ty_Either, gc), gd)), df), fb)) -> new_esEs(xv310, xv410, gc, gd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xv30, Left(xv310)), @2(xv40, Left(xv410)), bbg, app(app(ty_Either, app(app(ty_Either, h), ba)), bb)) -> new_esEs(xv310, xv410, h, ba) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), bbg, app(app(app(ty_@3, de), df), app(app(ty_Either, dg), dh))) -> new_esEs(xv312, xv412, dg, dh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xv30, Just(xv310)), @2(xv40, Just(xv410)), bbg, app(ty_Maybe, app(app(ty_Either, hd), he))) -> new_esEs(xv310, xv410, hd, he) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xv30, Right(xv310)), @2(xv40, Right(xv410)), bbg, app(app(ty_Either, cb), app(app(ty_Either, cc), cd))) -> new_esEs(xv310, xv410, cc, cd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xv30, :(xv310, xv311)), @2(xv40, :(xv410, xv411)), bbg, app(ty_[], app(app(ty_Either, baf), bag))) -> new_esEs(xv310, xv410, baf, bag) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), bbg, app(app(app(ty_@3, de), app(app(ty_Either, eh), fa)), fb)) -> new_esEs(xv311, xv411, eh, fa) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xv30, xv31), @2(xv40, xv41), app(app(ty_Either, bcb), bcc), bcd) -> new_esEs(xv30, xv40, bcb, bcc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Right(xv310), Right(xv410), cb, app(app(ty_Either, cc), cd)) -> new_esEs(xv310, xv410, cc, cd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(Left(xv310), Left(xv410), app(app(ty_Either, h), ba), bb) -> new_esEs(xv310, xv410, h, ba) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(@2(xv30, Left(xv310)), @2(xv40, Left(xv410)), bbg, app(app(ty_Either, app(app(ty_@2, bh), ca)), bb)) -> new_esEs3(xv310, xv410, bh, ca) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xv30, Right(xv310)), @2(xv40, Right(xv410)), bbg, app(app(ty_Either, cb), app(app(ty_@2, dc), dd))) -> new_esEs3(xv310, xv410, dc, dd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xv30, :(xv310, xv311)), @2(xv40, :(xv410, xv411)), bbg, app(ty_[], app(app(ty_@2, bbe), bbf))) -> new_esEs3(xv310, xv410, bbe, bbf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), bbg, app(app(app(ty_@3, de), df), app(app(ty_@2, ef), eg))) -> new_esEs3(xv312, xv412, ef, eg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xv30, xv31), @2(xv40, xv41), bbg, app(app(ty_@2, bbh), bca)) -> new_esEs3(xv31, xv41, bbh, bca) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xv30, Just(xv310)), @2(xv40, Just(xv410)), bbg, app(ty_Maybe, app(app(ty_@2, bac), bad))) -> new_esEs3(xv310, xv410, bac, bad) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), bbg, app(app(app(ty_@3, app(app(ty_@2, hb), hc)), df), fb)) -> new_esEs3(xv310, xv410, hb, hc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xv30, xv31), @2(xv40, xv41), app(app(ty_@2, bdb), bdc), bcd) -> new_esEs3(xv30, xv40, bdb, bdc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), bbg, app(app(app(ty_@3, de), app(app(ty_@2, ga), gb)), fb)) -> new_esEs3(xv311, xv411, ga, gb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(Left(xv310), Left(xv410), app(app(ty_@2, bh), ca), bb) -> new_esEs3(xv310, xv410, bh, ca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Right(xv310), Right(xv410), cb, app(app(ty_@2, dc), dd)) -> new_esEs3(xv310, xv410, dc, dd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), bbg, app(app(app(ty_@3, de), app(app(app(ty_@3, fc), fd), ff)), fb)) -> new_esEs0(xv311, xv411, fc, fd, ff) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs3(@2(xv30, xv31), @2(xv40, xv41), app(app(app(ty_@3, bce), bcf), bcg), bcd) -> new_esEs0(xv30, xv40, bce, bcf, bcg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), bbg, app(app(app(ty_@3, app(app(app(ty_@3, ge), gf), gg)), df), fb)) -> new_esEs0(xv310, xv410, ge, gf, gg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs3(@2(xv30, Left(xv310)), @2(xv40, Left(xv410)), bbg, app(app(ty_Either, app(app(app(ty_@3, bc), bd), be)), bb)) -> new_esEs0(xv310, xv410, bc, bd, be) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), bbg, app(app(app(ty_@3, de), df), app(app(app(ty_@3, ea), eb), ec))) -> new_esEs0(xv312, xv412, ea, eb, ec) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs3(@2(xv30, :(xv310, xv311)), @2(xv40, :(xv410, xv411)), bbg, app(ty_[], app(app(app(ty_@3, bah), bba), bbb))) -> new_esEs0(xv310, xv410, bah, bba, bbb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs3(@2(xv30, Right(xv310)), @2(xv40, Right(xv410)), bbg, app(app(ty_Either, cb), app(app(app(ty_@3, ce), cf), cg))) -> new_esEs0(xv310, xv410, ce, cf, cg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs3(@2(xv30, Just(xv310)), @2(xv40, Just(xv410)), bbg, app(ty_Maybe, app(app(app(ty_@3, hf), hg), hh))) -> new_esEs0(xv310, xv410, hf, hg, hh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs(Left(xv310), Left(xv410), app(app(app(ty_@3, bc), bd), be), bb) -> new_esEs0(xv310, xv410, bc, bd, be) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(Right(xv310), Right(xv410), cb, app(app(app(ty_@3, ce), cf), cg)) -> new_esEs0(xv310, xv410, ce, cf, cg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs2(:(xv310, xv311), :(xv410, xv411), bae) -> new_esEs2(xv311, xv411, bae) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs2(:(xv310, xv311), :(xv410, xv411), app(ty_[], bbd)) -> new_esEs2(xv310, xv410, bbd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), bbg, app(app(app(ty_@3, app(ty_[], ha)), df), fb)) -> new_esEs2(xv310, xv410, ha) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), bbg, app(app(app(ty_@3, de), df), app(ty_[], ee))) -> new_esEs2(xv312, xv412, ee) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xv30, :(xv310, xv311)), @2(xv40, :(xv410, xv411)), bbg, app(ty_[], bae)) -> new_esEs2(xv311, xv411, bae) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xv30, Just(xv310)), @2(xv40, Just(xv410)), bbg, app(ty_Maybe, app(ty_[], bab))) -> new_esEs2(xv310, xv410, bab) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xv30, xv31), @2(xv40, xv41), app(ty_[], bda), bcd) -> new_esEs2(xv30, xv40, bda) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), bbg, app(app(app(ty_@3, de), app(ty_[], fh)), fb)) -> new_esEs2(xv311, xv411, fh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xv30, Left(xv310)), @2(xv40, Left(xv410)), bbg, app(app(ty_Either, app(ty_[], bg)), bb)) -> new_esEs2(xv310, xv410, bg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xv30, :(xv310, xv311)), @2(xv40, :(xv410, xv411)), bbg, app(ty_[], app(ty_[], bbd))) -> new_esEs2(xv310, xv410, bbd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xv30, Right(xv310)), @2(xv40, Right(xv410)), bbg, app(app(ty_Either, cb), app(ty_[], db))) -> new_esEs2(xv310, xv410, db) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(Right(xv310), Right(xv410), cb, app(ty_[], db)) -> new_esEs2(xv310, xv410, db) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(Left(xv310), Left(xv410), app(ty_[], bg), bb) -> new_esEs2(xv310, xv410, bg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), bbg, app(app(app(ty_@3, de), app(ty_Maybe, fg)), fb)) -> new_esEs1(xv311, xv411, fg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xv30, xv31), @2(xv40, xv41), app(ty_Maybe, bch), bcd) -> new_esEs1(xv30, xv40, bch) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), bbg, app(app(app(ty_@3, app(ty_Maybe, gh)), df), fb)) -> new_esEs1(xv310, xv410, gh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xv30, Left(xv310)), @2(xv40, Left(xv410)), bbg, app(app(ty_Either, app(ty_Maybe, bf)), bb)) -> new_esEs1(xv310, xv410, bf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), bbg, app(app(app(ty_@3, de), df), app(ty_Maybe, ed))) -> new_esEs1(xv312, xv412, ed) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xv30, Just(xv310)), @2(xv40, Just(xv410)), bbg, app(ty_Maybe, app(ty_Maybe, baa))) -> new_esEs1(xv310, xv410, baa) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xv30, Right(xv310)), @2(xv40, Right(xv410)), bbg, app(app(ty_Either, cb), app(ty_Maybe, da))) -> new_esEs1(xv310, xv410, da) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xv30, :(xv310, xv311)), @2(xv40, :(xv410, xv411)), bbg, app(ty_[], app(ty_Maybe, bbc))) -> new_esEs1(xv310, xv410, bbc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(Right(xv310), Right(xv410), cb, app(ty_Maybe, da)) -> new_esEs1(xv310, xv410, da) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(Left(xv310), Left(xv410), app(ty_Maybe, bf), bb) -> new_esEs1(xv310, xv410, bf) 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(xv31100), Succ(xv41000)) -> new_primMulNat(xv31100, Succ(xv41000)) 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(xv31100), Succ(xv41000)) -> new_primMulNat(xv31100, Succ(xv41000)) 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(xv1800), Succ(xv410000)) -> new_primPlusNat(xv1800, xv410000) 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(xv1800), Succ(xv410000)) -> new_primPlusNat(xv1800, xv410000) 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(xv3100), Succ(xv4100)) -> new_primEqNat(xv3100, xv4100) 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(xv3100), Succ(xv4100)) -> new_primEqNat(xv3100, xv4100) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (18) YES