/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.hs /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4) HASKELL (5) Narrow [SOUND, 0 ms] (6) AND (7) QDP (8) DependencyGraphProof [EQUIVALENT, 0 ms] (9) AND (10) QDP (11) QDPSizeChangeProof [EQUIVALENT, 0 ms] (12) YES (13) QDP (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] (15) YES (16) QDP (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] (18) YES (19) QDP (20) QDPSizeChangeProof [EQUIVALENT, 0 ms] (21) YES (22) QDP (23) QDPSizeChangeProof [EQUIVALENT, 0 ms] (24) YES (25) QDP (26) QDPSizeChangeProof [EQUIVALENT, 0 ms] (27) YES ---------------------------------------- (0) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (1) BR (EQUIVALENT) Replaced joker patterns by fresh variables and removed binding patterns. ---------------------------------------- (2) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (3) COR (EQUIVALENT) Cond Reductions: The following Function with conditions "lookup k [] = Nothing; lookup k ((x,y) : xys)|k == xJust y|otherwiselookup k xys; " is transformed to "lookup k [] = lookup3 k []; lookup k ((x,y) : xys) = lookup2 k ((x,y) : xys); " "lookup1 k x y xys True = Just y; lookup1 k x y xys False = lookup0 k x y xys otherwise; " "lookup0 k x y xys True = lookup k xys; " "lookup2 k ((x,y) : xys) = lookup1 k x y xys (k == x); " "lookup3 k [] = Nothing; lookup3 xy xz = lookup2 xy xz; " The following Function with conditions "undefined |Falseundefined; " is transformed to "undefined = undefined1; " "undefined0 True = undefined; " "undefined1 = undefined0 False; " ---------------------------------------- (4) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (5) Narrow (SOUND) Haskell To QDPs digraph dp_graph { node [outthreshold=100, inthreshold=100];1[label="lookup",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 3[label="lookup yu3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 4[label="lookup yu3 yu4",fontsize=16,color="burlywood",shape="triangle"];946[label="yu4/yu40 : yu41",fontsize=10,color="white",style="solid",shape="box"];4 -> 946[label="",style="solid", color="burlywood", weight=9]; 946 -> 5[label="",style="solid", color="burlywood", weight=3]; 947[label="yu4/[]",fontsize=10,color="white",style="solid",shape="box"];4 -> 947[label="",style="solid", color="burlywood", weight=9]; 947 -> 6[label="",style="solid", color="burlywood", weight=3]; 5[label="lookup yu3 (yu40 : yu41)",fontsize=16,color="burlywood",shape="box"];948[label="yu40/(yu400,yu401)",fontsize=10,color="white",style="solid",shape="box"];5 -> 948[label="",style="solid", color="burlywood", weight=9]; 948 -> 7[label="",style="solid", color="burlywood", weight=3]; 6[label="lookup yu3 []",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3]; 7[label="lookup yu3 ((yu400,yu401) : yu41)",fontsize=16,color="black",shape="box"];7 -> 9[label="",style="solid", color="black", weight=3]; 8[label="lookup3 yu3 []",fontsize=16,color="black",shape="box"];8 -> 10[label="",style="solid", color="black", weight=3]; 9[label="lookup2 yu3 ((yu400,yu401) : yu41)",fontsize=16,color="black",shape="box"];9 -> 11[label="",style="solid", color="black", weight=3]; 10[label="Nothing",fontsize=16,color="green",shape="box"];11[label="lookup1 yu3 yu400 yu401 yu41 (yu3 == yu400)",fontsize=16,color="burlywood",shape="box"];949[label="yu3/yu30 : yu31",fontsize=10,color="white",style="solid",shape="box"];11 -> 949[label="",style="solid", color="burlywood", weight=9]; 949 -> 12[label="",style="solid", color="burlywood", weight=3]; 950[label="yu3/[]",fontsize=10,color="white",style="solid",shape="box"];11 -> 950[label="",style="solid", color="burlywood", weight=9]; 950 -> 13[label="",style="solid", color="burlywood", weight=3]; 12[label="lookup1 (yu30 : yu31) yu400 yu401 yu41 (yu30 : yu31 == yu400)",fontsize=16,color="burlywood",shape="box"];951[label="yu400/yu4000 : yu4001",fontsize=10,color="white",style="solid",shape="box"];12 -> 951[label="",style="solid", color="burlywood", weight=9]; 951 -> 14[label="",style="solid", color="burlywood", weight=3]; 952[label="yu400/[]",fontsize=10,color="white",style="solid",shape="box"];12 -> 952[label="",style="solid", color="burlywood", weight=9]; 952 -> 15[label="",style="solid", color="burlywood", weight=3]; 13[label="lookup1 [] yu400 yu401 yu41 ([] == yu400)",fontsize=16,color="burlywood",shape="box"];953[label="yu400/yu4000 : yu4001",fontsize=10,color="white",style="solid",shape="box"];13 -> 953[label="",style="solid", color="burlywood", weight=9]; 953 -> 16[label="",style="solid", color="burlywood", weight=3]; 954[label="yu400/[]",fontsize=10,color="white",style="solid",shape="box"];13 -> 954[label="",style="solid", color="burlywood", weight=9]; 954 -> 17[label="",style="solid", color="burlywood", weight=3]; 14[label="lookup1 (yu30 : yu31) (yu4000 : yu4001) yu401 yu41 (yu30 : yu31 == yu4000 : yu4001)",fontsize=16,color="black",shape="box"];14 -> 18[label="",style="solid", color="black", weight=3]; 15[label="lookup1 (yu30 : yu31) [] yu401 yu41 (yu30 : yu31 == [])",fontsize=16,color="black",shape="box"];15 -> 19[label="",style="solid", color="black", weight=3]; 16[label="lookup1 [] (yu4000 : yu4001) yu401 yu41 ([] == yu4000 : yu4001)",fontsize=16,color="black",shape="box"];16 -> 20[label="",style="solid", color="black", weight=3]; 17[label="lookup1 [] [] yu401 yu41 ([] == [])",fontsize=16,color="black",shape="box"];17 -> 21[label="",style="solid", color="black", weight=3]; 18 -> 111[label="",style="dashed", color="red", weight=0]; 18[label="lookup1 (yu30 : yu31) (yu4000 : yu4001) yu401 yu41 (yu30 == yu4000 && yu31 == yu4001)",fontsize=16,color="magenta"];18 -> 112[label="",style="dashed", color="magenta", weight=3]; 18 -> 113[label="",style="dashed", color="magenta", weight=3]; 18 -> 114[label="",style="dashed", color="magenta", weight=3]; 18 -> 115[label="",style="dashed", color="magenta", weight=3]; 18 -> 116[label="",style="dashed", color="magenta", weight=3]; 18 -> 117[label="",style="dashed", color="magenta", weight=3]; 18 -> 118[label="",style="dashed", color="magenta", weight=3]; 19[label="lookup1 (yu30 : yu31) [] yu401 yu41 False",fontsize=16,color="black",shape="box"];19 -> 30[label="",style="solid", color="black", weight=3]; 20[label="lookup1 [] (yu4000 : yu4001) yu401 yu41 False",fontsize=16,color="black",shape="box"];20 -> 31[label="",style="solid", color="black", weight=3]; 21[label="lookup1 [] [] yu401 yu41 True",fontsize=16,color="black",shape="box"];21 -> 32[label="",style="solid", color="black", weight=3]; 112[label="yu4001",fontsize=16,color="green",shape="box"];113 -> 311[label="",style="dashed", color="red", weight=0]; 113[label="yu30 == yu4000 && yu31 == yu4001",fontsize=16,color="magenta"];113 -> 312[label="",style="dashed", color="magenta", weight=3]; 113 -> 313[label="",style="dashed", color="magenta", weight=3]; 114[label="yu4000",fontsize=16,color="green",shape="box"];115[label="yu30",fontsize=16,color="green",shape="box"];116[label="yu31",fontsize=16,color="green",shape="box"];117[label="yu401",fontsize=16,color="green",shape="box"];118[label="yu41",fontsize=16,color="green",shape="box"];111[label="lookup1 (yu13 : yu14) (yu15 : yu16) yu17 yu18 yu20",fontsize=16,color="burlywood",shape="triangle"];955[label="yu20/False",fontsize=10,color="white",style="solid",shape="box"];111 -> 955[label="",style="solid", color="burlywood", weight=9]; 955 -> 126[label="",style="solid", color="burlywood", weight=3]; 956[label="yu20/True",fontsize=10,color="white",style="solid",shape="box"];111 -> 956[label="",style="solid", color="burlywood", weight=9]; 956 -> 127[label="",style="solid", color="burlywood", weight=3]; 30[label="lookup0 (yu30 : yu31) [] yu401 yu41 otherwise",fontsize=16,color="black",shape="box"];30 -> 49[label="",style="solid", color="black", weight=3]; 31[label="lookup0 [] (yu4000 : yu4001) yu401 yu41 otherwise",fontsize=16,color="black",shape="box"];31 -> 50[label="",style="solid", color="black", weight=3]; 32[label="Just yu401",fontsize=16,color="green",shape="box"];312[label="yu31 == yu4001",fontsize=16,color="burlywood",shape="triangle"];957[label="yu31/yu310 : yu311",fontsize=10,color="white",style="solid",shape="box"];312 -> 957[label="",style="solid", color="burlywood", weight=9]; 957 -> 316[label="",style="solid", color="burlywood", weight=3]; 958[label="yu31/[]",fontsize=10,color="white",style="solid",shape="box"];312 -> 958[label="",style="solid", color="burlywood", weight=9]; 958 -> 317[label="",style="solid", color="burlywood", weight=3]; 313[label="yu30 == yu4000",fontsize=16,color="blue",shape="box"];959[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];313 -> 959[label="",style="solid", color="blue", weight=9]; 959 -> 318[label="",style="solid", color="blue", weight=3]; 960[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];313 -> 960[label="",style="solid", color="blue", weight=9]; 960 -> 319[label="",style="solid", color="blue", weight=3]; 961[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];313 -> 961[label="",style="solid", color="blue", weight=9]; 961 -> 320[label="",style="solid", color="blue", weight=3]; 962[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];313 -> 962[label="",style="solid", color="blue", weight=9]; 962 -> 321[label="",style="solid", color="blue", weight=3]; 963[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];313 -> 963[label="",style="solid", color="blue", weight=9]; 963 -> 322[label="",style="solid", color="blue", weight=3]; 964[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];313 -> 964[label="",style="solid", color="blue", weight=9]; 964 -> 323[label="",style="solid", color="blue", weight=3]; 965[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];313 -> 965[label="",style="solid", color="blue", weight=9]; 965 -> 324[label="",style="solid", color="blue", weight=3]; 966[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];313 -> 966[label="",style="solid", color="blue", weight=9]; 966 -> 325[label="",style="solid", color="blue", weight=3]; 967[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];313 -> 967[label="",style="solid", color="blue", weight=9]; 967 -> 326[label="",style="solid", color="blue", weight=3]; 968[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];313 -> 968[label="",style="solid", color="blue", weight=9]; 968 -> 327[label="",style="solid", color="blue", weight=3]; 969[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];313 -> 969[label="",style="solid", color="blue", weight=9]; 969 -> 328[label="",style="solid", color="blue", weight=3]; 970[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];313 -> 970[label="",style="solid", color="blue", weight=9]; 970 -> 329[label="",style="solid", color="blue", weight=3]; 971[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];313 -> 971[label="",style="solid", color="blue", weight=9]; 971 -> 330[label="",style="solid", color="blue", weight=3]; 972[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];313 -> 972[label="",style="solid", color="blue", weight=9]; 972 -> 331[label="",style="solid", color="blue", weight=3]; 311[label="yu32 && yu33",fontsize=16,color="burlywood",shape="triangle"];973[label="yu32/False",fontsize=10,color="white",style="solid",shape="box"];311 -> 973[label="",style="solid", color="burlywood", weight=9]; 973 -> 332[label="",style="solid", color="burlywood", weight=3]; 974[label="yu32/True",fontsize=10,color="white",style="solid",shape="box"];311 -> 974[label="",style="solid", color="burlywood", weight=9]; 974 -> 333[label="",style="solid", color="burlywood", weight=3]; 126[label="lookup1 (yu13 : yu14) (yu15 : yu16) yu17 yu18 False",fontsize=16,color="black",shape="box"];126 -> 148[label="",style="solid", color="black", weight=3]; 127[label="lookup1 (yu13 : yu14) (yu15 : yu16) yu17 yu18 True",fontsize=16,color="black",shape="box"];127 -> 149[label="",style="solid", color="black", weight=3]; 49[label="lookup0 (yu30 : yu31) [] yu401 yu41 True",fontsize=16,color="black",shape="box"];49 -> 73[label="",style="solid", color="black", weight=3]; 50[label="lookup0 [] (yu4000 : yu4001) yu401 yu41 True",fontsize=16,color="black",shape="box"];50 -> 74[label="",style="solid", color="black", weight=3]; 316[label="yu310 : yu311 == yu4001",fontsize=16,color="burlywood",shape="box"];975[label="yu4001/yu40010 : yu40011",fontsize=10,color="white",style="solid",shape="box"];316 -> 975[label="",style="solid", color="burlywood", weight=9]; 975 -> 334[label="",style="solid", color="burlywood", weight=3]; 976[label="yu4001/[]",fontsize=10,color="white",style="solid",shape="box"];316 -> 976[label="",style="solid", color="burlywood", weight=9]; 976 -> 335[label="",style="solid", color="burlywood", weight=3]; 317[label="[] == yu4001",fontsize=16,color="burlywood",shape="box"];977[label="yu4001/yu40010 : yu40011",fontsize=10,color="white",style="solid",shape="box"];317 -> 977[label="",style="solid", color="burlywood", weight=9]; 977 -> 336[label="",style="solid", color="burlywood", weight=3]; 978[label="yu4001/[]",fontsize=10,color="white",style="solid",shape="box"];317 -> 978[label="",style="solid", color="burlywood", weight=9]; 978 -> 337[label="",style="solid", color="burlywood", weight=3]; 318[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];979[label="yu30/yu300 :% yu301",fontsize=10,color="white",style="solid",shape="box"];318 -> 979[label="",style="solid", color="burlywood", weight=9]; 979 -> 338[label="",style="solid", color="burlywood", weight=3]; 319[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];980[label="yu30/Integer yu300",fontsize=10,color="white",style="solid",shape="box"];319 -> 980[label="",style="solid", color="burlywood", weight=9]; 980 -> 339[label="",style="solid", color="burlywood", weight=3]; 320[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];981[label="yu30/(yu300,yu301,yu302)",fontsize=10,color="white",style="solid",shape="box"];320 -> 981[label="",style="solid", color="burlywood", weight=9]; 981 -> 340[label="",style="solid", color="burlywood", weight=3]; 321[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];982[label="yu30/LT",fontsize=10,color="white",style="solid",shape="box"];321 -> 982[label="",style="solid", color="burlywood", weight=9]; 982 -> 341[label="",style="solid", color="burlywood", weight=3]; 983[label="yu30/EQ",fontsize=10,color="white",style="solid",shape="box"];321 -> 983[label="",style="solid", color="burlywood", weight=9]; 983 -> 342[label="",style="solid", color="burlywood", weight=3]; 984[label="yu30/GT",fontsize=10,color="white",style="solid",shape="box"];321 -> 984[label="",style="solid", color="burlywood", weight=9]; 984 -> 343[label="",style="solid", color="burlywood", weight=3]; 322[label="yu30 == yu4000",fontsize=16,color="black",shape="triangle"];322 -> 344[label="",style="solid", color="black", weight=3]; 323[label="yu30 == yu4000",fontsize=16,color="black",shape="triangle"];323 -> 345[label="",style="solid", color="black", weight=3]; 324[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];985[label="yu30/False",fontsize=10,color="white",style="solid",shape="box"];324 -> 985[label="",style="solid", color="burlywood", weight=9]; 985 -> 346[label="",style="solid", color="burlywood", weight=3]; 986[label="yu30/True",fontsize=10,color="white",style="solid",shape="box"];324 -> 986[label="",style="solid", color="burlywood", weight=9]; 986 -> 347[label="",style="solid", color="burlywood", weight=3]; 325[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];987[label="yu30/Nothing",fontsize=10,color="white",style="solid",shape="box"];325 -> 987[label="",style="solid", color="burlywood", weight=9]; 987 -> 348[label="",style="solid", color="burlywood", weight=3]; 988[label="yu30/Just yu300",fontsize=10,color="white",style="solid",shape="box"];325 -> 988[label="",style="solid", color="burlywood", weight=9]; 988 -> 349[label="",style="solid", color="burlywood", weight=3]; 326[label="yu30 == yu4000",fontsize=16,color="black",shape="triangle"];326 -> 350[label="",style="solid", color="black", weight=3]; 327[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];989[label="yu30/(yu300,yu301)",fontsize=10,color="white",style="solid",shape="box"];327 -> 989[label="",style="solid", color="burlywood", weight=9]; 989 -> 351[label="",style="solid", color="burlywood", weight=3]; 328[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];990[label="yu30/()",fontsize=10,color="white",style="solid",shape="box"];328 -> 990[label="",style="solid", color="burlywood", weight=9]; 990 -> 352[label="",style="solid", color="burlywood", weight=3]; 329[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];991[label="yu30/Left yu300",fontsize=10,color="white",style="solid",shape="box"];329 -> 991[label="",style="solid", color="burlywood", weight=9]; 991 -> 353[label="",style="solid", color="burlywood", weight=3]; 992[label="yu30/Right yu300",fontsize=10,color="white",style="solid",shape="box"];329 -> 992[label="",style="solid", color="burlywood", weight=9]; 992 -> 354[label="",style="solid", color="burlywood", weight=3]; 330 -> 312[label="",style="dashed", color="red", weight=0]; 330[label="yu30 == yu4000",fontsize=16,color="magenta"];330 -> 355[label="",style="dashed", color="magenta", weight=3]; 330 -> 356[label="",style="dashed", color="magenta", weight=3]; 331[label="yu30 == yu4000",fontsize=16,color="black",shape="triangle"];331 -> 357[label="",style="solid", color="black", weight=3]; 332[label="False && yu33",fontsize=16,color="black",shape="box"];332 -> 358[label="",style="solid", color="black", weight=3]; 333[label="True && yu33",fontsize=16,color="black",shape="box"];333 -> 359[label="",style="solid", color="black", weight=3]; 148[label="lookup0 (yu13 : yu14) (yu15 : yu16) yu17 yu18 otherwise",fontsize=16,color="black",shape="box"];148 -> 172[label="",style="solid", color="black", weight=3]; 149[label="Just yu17",fontsize=16,color="green",shape="box"];73 -> 4[label="",style="dashed", color="red", weight=0]; 73[label="lookup (yu30 : yu31) yu41",fontsize=16,color="magenta"];73 -> 144[label="",style="dashed", color="magenta", weight=3]; 73 -> 145[label="",style="dashed", color="magenta", weight=3]; 74 -> 4[label="",style="dashed", color="red", weight=0]; 74[label="lookup [] yu41",fontsize=16,color="magenta"];74 -> 146[label="",style="dashed", color="magenta", weight=3]; 74 -> 147[label="",style="dashed", color="magenta", weight=3]; 334[label="yu310 : yu311 == yu40010 : yu40011",fontsize=16,color="black",shape="box"];334 -> 360[label="",style="solid", color="black", weight=3]; 335[label="yu310 : yu311 == []",fontsize=16,color="black",shape="box"];335 -> 361[label="",style="solid", color="black", weight=3]; 336[label="[] == yu40010 : yu40011",fontsize=16,color="black",shape="box"];336 -> 362[label="",style="solid", color="black", weight=3]; 337[label="[] == []",fontsize=16,color="black",shape="box"];337 -> 363[label="",style="solid", color="black", weight=3]; 338[label="yu300 :% yu301 == yu4000",fontsize=16,color="burlywood",shape="box"];993[label="yu4000/yu40000 :% yu40001",fontsize=10,color="white",style="solid",shape="box"];338 -> 993[label="",style="solid", color="burlywood", weight=9]; 993 -> 364[label="",style="solid", color="burlywood", weight=3]; 339[label="Integer yu300 == yu4000",fontsize=16,color="burlywood",shape="box"];994[label="yu4000/Integer yu40000",fontsize=10,color="white",style="solid",shape="box"];339 -> 994[label="",style="solid", color="burlywood", weight=9]; 994 -> 365[label="",style="solid", color="burlywood", weight=3]; 340[label="(yu300,yu301,yu302) == yu4000",fontsize=16,color="burlywood",shape="box"];995[label="yu4000/(yu40000,yu40001,yu40002)",fontsize=10,color="white",style="solid",shape="box"];340 -> 995[label="",style="solid", color="burlywood", weight=9]; 995 -> 366[label="",style="solid", color="burlywood", weight=3]; 341[label="LT == yu4000",fontsize=16,color="burlywood",shape="box"];996[label="yu4000/LT",fontsize=10,color="white",style="solid",shape="box"];341 -> 996[label="",style="solid", color="burlywood", weight=9]; 996 -> 367[label="",style="solid", color="burlywood", weight=3]; 997[label="yu4000/EQ",fontsize=10,color="white",style="solid",shape="box"];341 -> 997[label="",style="solid", color="burlywood", weight=9]; 997 -> 368[label="",style="solid", color="burlywood", weight=3]; 998[label="yu4000/GT",fontsize=10,color="white",style="solid",shape="box"];341 -> 998[label="",style="solid", color="burlywood", weight=9]; 998 -> 369[label="",style="solid", color="burlywood", weight=3]; 342[label="EQ == yu4000",fontsize=16,color="burlywood",shape="box"];999[label="yu4000/LT",fontsize=10,color="white",style="solid",shape="box"];342 -> 999[label="",style="solid", color="burlywood", weight=9]; 999 -> 370[label="",style="solid", color="burlywood", weight=3]; 1000[label="yu4000/EQ",fontsize=10,color="white",style="solid",shape="box"];342 -> 1000[label="",style="solid", color="burlywood", weight=9]; 1000 -> 371[label="",style="solid", color="burlywood", weight=3]; 1001[label="yu4000/GT",fontsize=10,color="white",style="solid",shape="box"];342 -> 1001[label="",style="solid", color="burlywood", weight=9]; 1001 -> 372[label="",style="solid", color="burlywood", weight=3]; 343[label="GT == yu4000",fontsize=16,color="burlywood",shape="box"];1002[label="yu4000/LT",fontsize=10,color="white",style="solid",shape="box"];343 -> 1002[label="",style="solid", color="burlywood", weight=9]; 1002 -> 373[label="",style="solid", color="burlywood", weight=3]; 1003[label="yu4000/EQ",fontsize=10,color="white",style="solid",shape="box"];343 -> 1003[label="",style="solid", color="burlywood", weight=9]; 1003 -> 374[label="",style="solid", color="burlywood", weight=3]; 1004[label="yu4000/GT",fontsize=10,color="white",style="solid",shape="box"];343 -> 1004[label="",style="solid", color="burlywood", weight=9]; 1004 -> 375[label="",style="solid", color="burlywood", weight=3]; 344[label="primEqChar yu30 yu4000",fontsize=16,color="burlywood",shape="box"];1005[label="yu30/Char yu300",fontsize=10,color="white",style="solid",shape="box"];344 -> 1005[label="",style="solid", color="burlywood", weight=9]; 1005 -> 376[label="",style="solid", color="burlywood", weight=3]; 345[label="primEqFloat yu30 yu4000",fontsize=16,color="burlywood",shape="box"];1006[label="yu30/Float yu300 yu301",fontsize=10,color="white",style="solid",shape="box"];345 -> 1006[label="",style="solid", color="burlywood", weight=9]; 1006 -> 377[label="",style="solid", color="burlywood", weight=3]; 346[label="False == yu4000",fontsize=16,color="burlywood",shape="box"];1007[label="yu4000/False",fontsize=10,color="white",style="solid",shape="box"];346 -> 1007[label="",style="solid", color="burlywood", weight=9]; 1007 -> 378[label="",style="solid", color="burlywood", weight=3]; 1008[label="yu4000/True",fontsize=10,color="white",style="solid",shape="box"];346 -> 1008[label="",style="solid", color="burlywood", weight=9]; 1008 -> 379[label="",style="solid", color="burlywood", weight=3]; 347[label="True == yu4000",fontsize=16,color="burlywood",shape="box"];1009[label="yu4000/False",fontsize=10,color="white",style="solid",shape="box"];347 -> 1009[label="",style="solid", color="burlywood", weight=9]; 1009 -> 380[label="",style="solid", color="burlywood", weight=3]; 1010[label="yu4000/True",fontsize=10,color="white",style="solid",shape="box"];347 -> 1010[label="",style="solid", color="burlywood", weight=9]; 1010 -> 381[label="",style="solid", color="burlywood", weight=3]; 348[label="Nothing == yu4000",fontsize=16,color="burlywood",shape="box"];1011[label="yu4000/Nothing",fontsize=10,color="white",style="solid",shape="box"];348 -> 1011[label="",style="solid", color="burlywood", weight=9]; 1011 -> 382[label="",style="solid", color="burlywood", weight=3]; 1012[label="yu4000/Just yu40000",fontsize=10,color="white",style="solid",shape="box"];348 -> 1012[label="",style="solid", color="burlywood", weight=9]; 1012 -> 383[label="",style="solid", color="burlywood", weight=3]; 349[label="Just yu300 == yu4000",fontsize=16,color="burlywood",shape="box"];1013[label="yu4000/Nothing",fontsize=10,color="white",style="solid",shape="box"];349 -> 1013[label="",style="solid", color="burlywood", weight=9]; 1013 -> 384[label="",style="solid", color="burlywood", weight=3]; 1014[label="yu4000/Just yu40000",fontsize=10,color="white",style="solid",shape="box"];349 -> 1014[label="",style="solid", color="burlywood", weight=9]; 1014 -> 385[label="",style="solid", color="burlywood", weight=3]; 350[label="primEqInt yu30 yu4000",fontsize=16,color="burlywood",shape="triangle"];1015[label="yu30/Pos yu300",fontsize=10,color="white",style="solid",shape="box"];350 -> 1015[label="",style="solid", color="burlywood", weight=9]; 1015 -> 386[label="",style="solid", color="burlywood", weight=3]; 1016[label="yu30/Neg yu300",fontsize=10,color="white",style="solid",shape="box"];350 -> 1016[label="",style="solid", color="burlywood", weight=9]; 1016 -> 387[label="",style="solid", color="burlywood", weight=3]; 351[label="(yu300,yu301) == yu4000",fontsize=16,color="burlywood",shape="box"];1017[label="yu4000/(yu40000,yu40001)",fontsize=10,color="white",style="solid",shape="box"];351 -> 1017[label="",style="solid", color="burlywood", weight=9]; 1017 -> 388[label="",style="solid", color="burlywood", weight=3]; 352[label="() == yu4000",fontsize=16,color="burlywood",shape="box"];1018[label="yu4000/()",fontsize=10,color="white",style="solid",shape="box"];352 -> 1018[label="",style="solid", color="burlywood", weight=9]; 1018 -> 389[label="",style="solid", color="burlywood", weight=3]; 353[label="Left yu300 == yu4000",fontsize=16,color="burlywood",shape="box"];1019[label="yu4000/Left yu40000",fontsize=10,color="white",style="solid",shape="box"];353 -> 1019[label="",style="solid", color="burlywood", weight=9]; 1019 -> 390[label="",style="solid", color="burlywood", weight=3]; 1020[label="yu4000/Right yu40000",fontsize=10,color="white",style="solid",shape="box"];353 -> 1020[label="",style="solid", color="burlywood", weight=9]; 1020 -> 391[label="",style="solid", color="burlywood", weight=3]; 354[label="Right yu300 == yu4000",fontsize=16,color="burlywood",shape="box"];1021[label="yu4000/Left yu40000",fontsize=10,color="white",style="solid",shape="box"];354 -> 1021[label="",style="solid", color="burlywood", weight=9]; 1021 -> 392[label="",style="solid", color="burlywood", weight=3]; 1022[label="yu4000/Right yu40000",fontsize=10,color="white",style="solid",shape="box"];354 -> 1022[label="",style="solid", color="burlywood", weight=9]; 1022 -> 393[label="",style="solid", color="burlywood", weight=3]; 355[label="yu30",fontsize=16,color="green",shape="box"];356[label="yu4000",fontsize=16,color="green",shape="box"];357[label="primEqDouble yu30 yu4000",fontsize=16,color="burlywood",shape="box"];1023[label="yu30/Double yu300 yu301",fontsize=10,color="white",style="solid",shape="box"];357 -> 1023[label="",style="solid", color="burlywood", weight=9]; 1023 -> 394[label="",style="solid", color="burlywood", weight=3]; 358[label="False",fontsize=16,color="green",shape="box"];359[label="yu33",fontsize=16,color="green",shape="box"];172[label="lookup0 (yu13 : yu14) (yu15 : yu16) yu17 yu18 True",fontsize=16,color="black",shape="box"];172 -> 222[label="",style="solid", color="black", weight=3]; 144[label="yu30 : yu31",fontsize=16,color="green",shape="box"];145[label="yu41",fontsize=16,color="green",shape="box"];146[label="[]",fontsize=16,color="green",shape="box"];147[label="yu41",fontsize=16,color="green",shape="box"];360 -> 311[label="",style="dashed", color="red", weight=0]; 360[label="yu310 == yu40010 && yu311 == yu40011",fontsize=16,color="magenta"];360 -> 395[label="",style="dashed", color="magenta", weight=3]; 360 -> 396[label="",style="dashed", color="magenta", weight=3]; 361[label="False",fontsize=16,color="green",shape="box"];362[label="False",fontsize=16,color="green",shape="box"];363[label="True",fontsize=16,color="green",shape="box"];364[label="yu300 :% yu301 == yu40000 :% yu40001",fontsize=16,color="black",shape="box"];364 -> 397[label="",style="solid", color="black", weight=3]; 365[label="Integer yu300 == Integer yu40000",fontsize=16,color="black",shape="box"];365 -> 398[label="",style="solid", color="black", weight=3]; 366[label="(yu300,yu301,yu302) == (yu40000,yu40001,yu40002)",fontsize=16,color="black",shape="box"];366 -> 399[label="",style="solid", color="black", weight=3]; 367[label="LT == LT",fontsize=16,color="black",shape="box"];367 -> 400[label="",style="solid", color="black", weight=3]; 368[label="LT == EQ",fontsize=16,color="black",shape="box"];368 -> 401[label="",style="solid", color="black", weight=3]; 369[label="LT == GT",fontsize=16,color="black",shape="box"];369 -> 402[label="",style="solid", color="black", weight=3]; 370[label="EQ == LT",fontsize=16,color="black",shape="box"];370 -> 403[label="",style="solid", color="black", weight=3]; 371[label="EQ == EQ",fontsize=16,color="black",shape="box"];371 -> 404[label="",style="solid", color="black", weight=3]; 372[label="EQ == GT",fontsize=16,color="black",shape="box"];372 -> 405[label="",style="solid", color="black", weight=3]; 373[label="GT == LT",fontsize=16,color="black",shape="box"];373 -> 406[label="",style="solid", color="black", weight=3]; 374[label="GT == EQ",fontsize=16,color="black",shape="box"];374 -> 407[label="",style="solid", color="black", weight=3]; 375[label="GT == GT",fontsize=16,color="black",shape="box"];375 -> 408[label="",style="solid", color="black", weight=3]; 376[label="primEqChar (Char yu300) yu4000",fontsize=16,color="burlywood",shape="box"];1024[label="yu4000/Char yu40000",fontsize=10,color="white",style="solid",shape="box"];376 -> 1024[label="",style="solid", color="burlywood", weight=9]; 1024 -> 409[label="",style="solid", color="burlywood", weight=3]; 377[label="primEqFloat (Float yu300 yu301) yu4000",fontsize=16,color="burlywood",shape="box"];1025[label="yu4000/Float yu40000 yu40001",fontsize=10,color="white",style="solid",shape="box"];377 -> 1025[label="",style="solid", color="burlywood", weight=9]; 1025 -> 410[label="",style="solid", color="burlywood", weight=3]; 378[label="False == False",fontsize=16,color="black",shape="box"];378 -> 411[label="",style="solid", color="black", weight=3]; 379[label="False == True",fontsize=16,color="black",shape="box"];379 -> 412[label="",style="solid", color="black", weight=3]; 380[label="True == False",fontsize=16,color="black",shape="box"];380 -> 413[label="",style="solid", color="black", weight=3]; 381[label="True == True",fontsize=16,color="black",shape="box"];381 -> 414[label="",style="solid", color="black", weight=3]; 382[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];382 -> 415[label="",style="solid", color="black", weight=3]; 383[label="Nothing == Just yu40000",fontsize=16,color="black",shape="box"];383 -> 416[label="",style="solid", color="black", weight=3]; 384[label="Just yu300 == Nothing",fontsize=16,color="black",shape="box"];384 -> 417[label="",style="solid", color="black", weight=3]; 385[label="Just yu300 == Just yu40000",fontsize=16,color="black",shape="box"];385 -> 418[label="",style="solid", color="black", weight=3]; 386[label="primEqInt (Pos yu300) yu4000",fontsize=16,color="burlywood",shape="box"];1026[label="yu300/Succ yu3000",fontsize=10,color="white",style="solid",shape="box"];386 -> 1026[label="",style="solid", color="burlywood", weight=9]; 1026 -> 419[label="",style="solid", color="burlywood", weight=3]; 1027[label="yu300/Zero",fontsize=10,color="white",style="solid",shape="box"];386 -> 1027[label="",style="solid", color="burlywood", weight=9]; 1027 -> 420[label="",style="solid", color="burlywood", weight=3]; 387[label="primEqInt (Neg yu300) yu4000",fontsize=16,color="burlywood",shape="box"];1028[label="yu300/Succ yu3000",fontsize=10,color="white",style="solid",shape="box"];387 -> 1028[label="",style="solid", color="burlywood", weight=9]; 1028 -> 421[label="",style="solid", color="burlywood", weight=3]; 1029[label="yu300/Zero",fontsize=10,color="white",style="solid",shape="box"];387 -> 1029[label="",style="solid", color="burlywood", weight=9]; 1029 -> 422[label="",style="solid", color="burlywood", weight=3]; 388[label="(yu300,yu301) == (yu40000,yu40001)",fontsize=16,color="black",shape="box"];388 -> 423[label="",style="solid", color="black", weight=3]; 389[label="() == ()",fontsize=16,color="black",shape="box"];389 -> 424[label="",style="solid", color="black", weight=3]; 390[label="Left yu300 == Left yu40000",fontsize=16,color="black",shape="box"];390 -> 425[label="",style="solid", color="black", weight=3]; 391[label="Left yu300 == Right yu40000",fontsize=16,color="black",shape="box"];391 -> 426[label="",style="solid", color="black", weight=3]; 392[label="Right yu300 == Left yu40000",fontsize=16,color="black",shape="box"];392 -> 427[label="",style="solid", color="black", weight=3]; 393[label="Right yu300 == Right yu40000",fontsize=16,color="black",shape="box"];393 -> 428[label="",style="solid", color="black", weight=3]; 394[label="primEqDouble (Double yu300 yu301) yu4000",fontsize=16,color="burlywood",shape="box"];1030[label="yu4000/Double yu40000 yu40001",fontsize=10,color="white",style="solid",shape="box"];394 -> 1030[label="",style="solid", color="burlywood", weight=9]; 1030 -> 429[label="",style="solid", color="burlywood", weight=3]; 222 -> 4[label="",style="dashed", color="red", weight=0]; 222[label="lookup (yu13 : yu14) yu18",fontsize=16,color="magenta"];222 -> 288[label="",style="dashed", color="magenta", weight=3]; 222 -> 289[label="",style="dashed", color="magenta", weight=3]; 395 -> 312[label="",style="dashed", color="red", weight=0]; 395[label="yu311 == yu40011",fontsize=16,color="magenta"];395 -> 430[label="",style="dashed", color="magenta", weight=3]; 395 -> 431[label="",style="dashed", color="magenta", weight=3]; 396[label="yu310 == yu40010",fontsize=16,color="blue",shape="box"];1031[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];396 -> 1031[label="",style="solid", color="blue", weight=9]; 1031 -> 432[label="",style="solid", color="blue", weight=3]; 1032[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];396 -> 1032[label="",style="solid", color="blue", weight=9]; 1032 -> 433[label="",style="solid", color="blue", weight=3]; 1033[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];396 -> 1033[label="",style="solid", color="blue", weight=9]; 1033 -> 434[label="",style="solid", color="blue", weight=3]; 1034[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];396 -> 1034[label="",style="solid", color="blue", weight=9]; 1034 -> 435[label="",style="solid", color="blue", weight=3]; 1035[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];396 -> 1035[label="",style="solid", color="blue", weight=9]; 1035 -> 436[label="",style="solid", color="blue", weight=3]; 1036[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];396 -> 1036[label="",style="solid", color="blue", weight=9]; 1036 -> 437[label="",style="solid", color="blue", weight=3]; 1037[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];396 -> 1037[label="",style="solid", color="blue", weight=9]; 1037 -> 438[label="",style="solid", color="blue", weight=3]; 1038[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];396 -> 1038[label="",style="solid", color="blue", weight=9]; 1038 -> 439[label="",style="solid", color="blue", weight=3]; 1039[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];396 -> 1039[label="",style="solid", color="blue", weight=9]; 1039 -> 440[label="",style="solid", color="blue", weight=3]; 1040[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];396 -> 1040[label="",style="solid", color="blue", weight=9]; 1040 -> 441[label="",style="solid", color="blue", weight=3]; 1041[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];396 -> 1041[label="",style="solid", color="blue", weight=9]; 1041 -> 442[label="",style="solid", color="blue", weight=3]; 1042[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];396 -> 1042[label="",style="solid", color="blue", weight=9]; 1042 -> 443[label="",style="solid", color="blue", weight=3]; 1043[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];396 -> 1043[label="",style="solid", color="blue", weight=9]; 1043 -> 444[label="",style="solid", color="blue", weight=3]; 1044[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];396 -> 1044[label="",style="solid", color="blue", weight=9]; 1044 -> 445[label="",style="solid", color="blue", weight=3]; 397 -> 311[label="",style="dashed", color="red", weight=0]; 397[label="yu300 == yu40000 && yu301 == yu40001",fontsize=16,color="magenta"];397 -> 446[label="",style="dashed", color="magenta", weight=3]; 397 -> 447[label="",style="dashed", color="magenta", weight=3]; 398 -> 350[label="",style="dashed", color="red", weight=0]; 398[label="primEqInt yu300 yu40000",fontsize=16,color="magenta"];398 -> 448[label="",style="dashed", color="magenta", weight=3]; 398 -> 449[label="",style="dashed", color="magenta", weight=3]; 399 -> 311[label="",style="dashed", color="red", weight=0]; 399[label="yu300 == yu40000 && yu301 == yu40001 && yu302 == yu40002",fontsize=16,color="magenta"];399 -> 450[label="",style="dashed", color="magenta", weight=3]; 399 -> 451[label="",style="dashed", color="magenta", weight=3]; 400[label="True",fontsize=16,color="green",shape="box"];401[label="False",fontsize=16,color="green",shape="box"];402[label="False",fontsize=16,color="green",shape="box"];403[label="False",fontsize=16,color="green",shape="box"];404[label="True",fontsize=16,color="green",shape="box"];405[label="False",fontsize=16,color="green",shape="box"];406[label="False",fontsize=16,color="green",shape="box"];407[label="False",fontsize=16,color="green",shape="box"];408[label="True",fontsize=16,color="green",shape="box"];409[label="primEqChar (Char yu300) (Char yu40000)",fontsize=16,color="black",shape="box"];409 -> 452[label="",style="solid", color="black", weight=3]; 410[label="primEqFloat (Float yu300 yu301) (Float yu40000 yu40001)",fontsize=16,color="black",shape="box"];410 -> 453[label="",style="solid", color="black", weight=3]; 411[label="True",fontsize=16,color="green",shape="box"];412[label="False",fontsize=16,color="green",shape="box"];413[label="False",fontsize=16,color="green",shape="box"];414[label="True",fontsize=16,color="green",shape="box"];415[label="True",fontsize=16,color="green",shape="box"];416[label="False",fontsize=16,color="green",shape="box"];417[label="False",fontsize=16,color="green",shape="box"];418[label="yu300 == yu40000",fontsize=16,color="blue",shape="box"];1045[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];418 -> 1045[label="",style="solid", color="blue", weight=9]; 1045 -> 454[label="",style="solid", color="blue", weight=3]; 1046[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];418 -> 1046[label="",style="solid", color="blue", weight=9]; 1046 -> 455[label="",style="solid", color="blue", weight=3]; 1047[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];418 -> 1047[label="",style="solid", color="blue", weight=9]; 1047 -> 456[label="",style="solid", color="blue", weight=3]; 1048[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];418 -> 1048[label="",style="solid", color="blue", weight=9]; 1048 -> 457[label="",style="solid", color="blue", weight=3]; 1049[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];418 -> 1049[label="",style="solid", color="blue", weight=9]; 1049 -> 458[label="",style="solid", color="blue", weight=3]; 1050[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];418 -> 1050[label="",style="solid", color="blue", weight=9]; 1050 -> 459[label="",style="solid", color="blue", weight=3]; 1051[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];418 -> 1051[label="",style="solid", color="blue", weight=9]; 1051 -> 460[label="",style="solid", color="blue", weight=3]; 1052[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];418 -> 1052[label="",style="solid", color="blue", weight=9]; 1052 -> 461[label="",style="solid", color="blue", weight=3]; 1053[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];418 -> 1053[label="",style="solid", color="blue", weight=9]; 1053 -> 462[label="",style="solid", color="blue", weight=3]; 1054[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];418 -> 1054[label="",style="solid", color="blue", weight=9]; 1054 -> 463[label="",style="solid", color="blue", weight=3]; 1055[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];418 -> 1055[label="",style="solid", color="blue", weight=9]; 1055 -> 464[label="",style="solid", color="blue", weight=3]; 1056[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];418 -> 1056[label="",style="solid", color="blue", weight=9]; 1056 -> 465[label="",style="solid", color="blue", weight=3]; 1057[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];418 -> 1057[label="",style="solid", color="blue", weight=9]; 1057 -> 466[label="",style="solid", color="blue", weight=3]; 1058[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];418 -> 1058[label="",style="solid", color="blue", weight=9]; 1058 -> 467[label="",style="solid", color="blue", weight=3]; 419[label="primEqInt (Pos (Succ yu3000)) yu4000",fontsize=16,color="burlywood",shape="box"];1059[label="yu4000/Pos yu40000",fontsize=10,color="white",style="solid",shape="box"];419 -> 1059[label="",style="solid", color="burlywood", weight=9]; 1059 -> 468[label="",style="solid", color="burlywood", weight=3]; 1060[label="yu4000/Neg yu40000",fontsize=10,color="white",style="solid",shape="box"];419 -> 1060[label="",style="solid", color="burlywood", weight=9]; 1060 -> 469[label="",style="solid", color="burlywood", weight=3]; 420[label="primEqInt (Pos Zero) yu4000",fontsize=16,color="burlywood",shape="box"];1061[label="yu4000/Pos yu40000",fontsize=10,color="white",style="solid",shape="box"];420 -> 1061[label="",style="solid", color="burlywood", weight=9]; 1061 -> 470[label="",style="solid", color="burlywood", weight=3]; 1062[label="yu4000/Neg yu40000",fontsize=10,color="white",style="solid",shape="box"];420 -> 1062[label="",style="solid", color="burlywood", weight=9]; 1062 -> 471[label="",style="solid", color="burlywood", weight=3]; 421[label="primEqInt (Neg (Succ yu3000)) yu4000",fontsize=16,color="burlywood",shape="box"];1063[label="yu4000/Pos yu40000",fontsize=10,color="white",style="solid",shape="box"];421 -> 1063[label="",style="solid", color="burlywood", weight=9]; 1063 -> 472[label="",style="solid", color="burlywood", weight=3]; 1064[label="yu4000/Neg yu40000",fontsize=10,color="white",style="solid",shape="box"];421 -> 1064[label="",style="solid", color="burlywood", weight=9]; 1064 -> 473[label="",style="solid", color="burlywood", weight=3]; 422[label="primEqInt (Neg Zero) yu4000",fontsize=16,color="burlywood",shape="box"];1065[label="yu4000/Pos yu40000",fontsize=10,color="white",style="solid",shape="box"];422 -> 1065[label="",style="solid", color="burlywood", weight=9]; 1065 -> 474[label="",style="solid", color="burlywood", weight=3]; 1066[label="yu4000/Neg yu40000",fontsize=10,color="white",style="solid",shape="box"];422 -> 1066[label="",style="solid", color="burlywood", weight=9]; 1066 -> 475[label="",style="solid", color="burlywood", weight=3]; 423 -> 311[label="",style="dashed", color="red", weight=0]; 423[label="yu300 == yu40000 && yu301 == yu40001",fontsize=16,color="magenta"];423 -> 476[label="",style="dashed", color="magenta", weight=3]; 423 -> 477[label="",style="dashed", color="magenta", weight=3]; 424[label="True",fontsize=16,color="green",shape="box"];425[label="yu300 == yu40000",fontsize=16,color="blue",shape="box"];1067[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];425 -> 1067[label="",style="solid", color="blue", weight=9]; 1067 -> 478[label="",style="solid", color="blue", weight=3]; 1068[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];425 -> 1068[label="",style="solid", color="blue", weight=9]; 1068 -> 479[label="",style="solid", color="blue", weight=3]; 1069[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];425 -> 1069[label="",style="solid", color="blue", weight=9]; 1069 -> 480[label="",style="solid", color="blue", weight=3]; 1070[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];425 -> 1070[label="",style="solid", color="blue", weight=9]; 1070 -> 481[label="",style="solid", color="blue", weight=3]; 1071[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];425 -> 1071[label="",style="solid", color="blue", weight=9]; 1071 -> 482[label="",style="solid", color="blue", weight=3]; 1072[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];425 -> 1072[label="",style="solid", color="blue", weight=9]; 1072 -> 483[label="",style="solid", color="blue", weight=3]; 1073[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];425 -> 1073[label="",style="solid", color="blue", weight=9]; 1073 -> 484[label="",style="solid", color="blue", weight=3]; 1074[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];425 -> 1074[label="",style="solid", color="blue", weight=9]; 1074 -> 485[label="",style="solid", color="blue", weight=3]; 1075[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];425 -> 1075[label="",style="solid", color="blue", weight=9]; 1075 -> 486[label="",style="solid", color="blue", weight=3]; 1076[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];425 -> 1076[label="",style="solid", color="blue", weight=9]; 1076 -> 487[label="",style="solid", color="blue", weight=3]; 1077[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];425 -> 1077[label="",style="solid", color="blue", weight=9]; 1077 -> 488[label="",style="solid", color="blue", weight=3]; 1078[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];425 -> 1078[label="",style="solid", color="blue", weight=9]; 1078 -> 489[label="",style="solid", color="blue", weight=3]; 1079[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];425 -> 1079[label="",style="solid", color="blue", weight=9]; 1079 -> 490[label="",style="solid", color="blue", weight=3]; 1080[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];425 -> 1080[label="",style="solid", color="blue", weight=9]; 1080 -> 491[label="",style="solid", color="blue", weight=3]; 426[label="False",fontsize=16,color="green",shape="box"];427[label="False",fontsize=16,color="green",shape="box"];428[label="yu300 == yu40000",fontsize=16,color="blue",shape="box"];1081[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1081[label="",style="solid", color="blue", weight=9]; 1081 -> 492[label="",style="solid", color="blue", weight=3]; 1082[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1082[label="",style="solid", color="blue", weight=9]; 1082 -> 493[label="",style="solid", color="blue", weight=3]; 1083[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1083[label="",style="solid", color="blue", weight=9]; 1083 -> 494[label="",style="solid", color="blue", weight=3]; 1084[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1084[label="",style="solid", color="blue", weight=9]; 1084 -> 495[label="",style="solid", color="blue", weight=3]; 1085[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1085[label="",style="solid", color="blue", weight=9]; 1085 -> 496[label="",style="solid", color="blue", weight=3]; 1086[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1086[label="",style="solid", color="blue", weight=9]; 1086 -> 497[label="",style="solid", color="blue", weight=3]; 1087[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1087[label="",style="solid", color="blue", weight=9]; 1087 -> 498[label="",style="solid", color="blue", weight=3]; 1088[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1088[label="",style="solid", color="blue", weight=9]; 1088 -> 499[label="",style="solid", color="blue", weight=3]; 1089[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1089[label="",style="solid", color="blue", weight=9]; 1089 -> 500[label="",style="solid", color="blue", weight=3]; 1090[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1090[label="",style="solid", color="blue", weight=9]; 1090 -> 501[label="",style="solid", color="blue", weight=3]; 1091[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1091[label="",style="solid", color="blue", weight=9]; 1091 -> 502[label="",style="solid", color="blue", weight=3]; 1092[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1092[label="",style="solid", color="blue", weight=9]; 1092 -> 503[label="",style="solid", color="blue", weight=3]; 1093[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1093[label="",style="solid", color="blue", weight=9]; 1093 -> 504[label="",style="solid", color="blue", weight=3]; 1094[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1094[label="",style="solid", color="blue", weight=9]; 1094 -> 505[label="",style="solid", color="blue", weight=3]; 429[label="primEqDouble (Double yu300 yu301) (Double yu40000 yu40001)",fontsize=16,color="black",shape="box"];429 -> 506[label="",style="solid", color="black", weight=3]; 288[label="yu13 : yu14",fontsize=16,color="green",shape="box"];289[label="yu18",fontsize=16,color="green",shape="box"];430[label="yu311",fontsize=16,color="green",shape="box"];431[label="yu40011",fontsize=16,color="green",shape="box"];432 -> 318[label="",style="dashed", color="red", weight=0]; 432[label="yu310 == yu40010",fontsize=16,color="magenta"];432 -> 507[label="",style="dashed", color="magenta", weight=3]; 432 -> 508[label="",style="dashed", color="magenta", weight=3]; 433 -> 319[label="",style="dashed", color="red", weight=0]; 433[label="yu310 == yu40010",fontsize=16,color="magenta"];433 -> 509[label="",style="dashed", color="magenta", weight=3]; 433 -> 510[label="",style="dashed", color="magenta", weight=3]; 434 -> 320[label="",style="dashed", color="red", weight=0]; 434[label="yu310 == yu40010",fontsize=16,color="magenta"];434 -> 511[label="",style="dashed", color="magenta", weight=3]; 434 -> 512[label="",style="dashed", color="magenta", weight=3]; 435 -> 321[label="",style="dashed", color="red", weight=0]; 435[label="yu310 == yu40010",fontsize=16,color="magenta"];435 -> 513[label="",style="dashed", color="magenta", weight=3]; 435 -> 514[label="",style="dashed", color="magenta", weight=3]; 436 -> 322[label="",style="dashed", color="red", weight=0]; 436[label="yu310 == yu40010",fontsize=16,color="magenta"];436 -> 515[label="",style="dashed", color="magenta", weight=3]; 436 -> 516[label="",style="dashed", color="magenta", weight=3]; 437 -> 323[label="",style="dashed", color="red", weight=0]; 437[label="yu310 == yu40010",fontsize=16,color="magenta"];437 -> 517[label="",style="dashed", color="magenta", weight=3]; 437 -> 518[label="",style="dashed", color="magenta", weight=3]; 438 -> 324[label="",style="dashed", color="red", weight=0]; 438[label="yu310 == yu40010",fontsize=16,color="magenta"];438 -> 519[label="",style="dashed", color="magenta", weight=3]; 438 -> 520[label="",style="dashed", color="magenta", weight=3]; 439 -> 325[label="",style="dashed", color="red", weight=0]; 439[label="yu310 == yu40010",fontsize=16,color="magenta"];439 -> 521[label="",style="dashed", color="magenta", weight=3]; 439 -> 522[label="",style="dashed", color="magenta", weight=3]; 440 -> 326[label="",style="dashed", color="red", weight=0]; 440[label="yu310 == yu40010",fontsize=16,color="magenta"];440 -> 523[label="",style="dashed", color="magenta", weight=3]; 440 -> 524[label="",style="dashed", color="magenta", weight=3]; 441 -> 327[label="",style="dashed", color="red", weight=0]; 441[label="yu310 == yu40010",fontsize=16,color="magenta"];441 -> 525[label="",style="dashed", color="magenta", weight=3]; 441 -> 526[label="",style="dashed", color="magenta", weight=3]; 442 -> 328[label="",style="dashed", color="red", weight=0]; 442[label="yu310 == yu40010",fontsize=16,color="magenta"];442 -> 527[label="",style="dashed", color="magenta", weight=3]; 442 -> 528[label="",style="dashed", color="magenta", weight=3]; 443 -> 329[label="",style="dashed", color="red", weight=0]; 443[label="yu310 == yu40010",fontsize=16,color="magenta"];443 -> 529[label="",style="dashed", color="magenta", weight=3]; 443 -> 530[label="",style="dashed", color="magenta", weight=3]; 444 -> 312[label="",style="dashed", color="red", weight=0]; 444[label="yu310 == yu40010",fontsize=16,color="magenta"];444 -> 531[label="",style="dashed", color="magenta", weight=3]; 444 -> 532[label="",style="dashed", color="magenta", weight=3]; 445 -> 331[label="",style="dashed", color="red", weight=0]; 445[label="yu310 == yu40010",fontsize=16,color="magenta"];445 -> 533[label="",style="dashed", color="magenta", weight=3]; 445 -> 534[label="",style="dashed", color="magenta", weight=3]; 446[label="yu301 == yu40001",fontsize=16,color="blue",shape="box"];1095[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];446 -> 1095[label="",style="solid", color="blue", weight=9]; 1095 -> 535[label="",style="solid", color="blue", weight=3]; 1096[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];446 -> 1096[label="",style="solid", color="blue", weight=9]; 1096 -> 536[label="",style="solid", color="blue", weight=3]; 447[label="yu300 == yu40000",fontsize=16,color="blue",shape="box"];1097[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];447 -> 1097[label="",style="solid", color="blue", weight=9]; 1097 -> 537[label="",style="solid", color="blue", weight=3]; 1098[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];447 -> 1098[label="",style="solid", color="blue", weight=9]; 1098 -> 538[label="",style="solid", color="blue", weight=3]; 448[label="yu300",fontsize=16,color="green",shape="box"];449[label="yu40000",fontsize=16,color="green",shape="box"];450 -> 311[label="",style="dashed", color="red", weight=0]; 450[label="yu301 == yu40001 && yu302 == yu40002",fontsize=16,color="magenta"];450 -> 539[label="",style="dashed", color="magenta", weight=3]; 450 -> 540[label="",style="dashed", color="magenta", weight=3]; 451[label="yu300 == yu40000",fontsize=16,color="blue",shape="box"];1099[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1099[label="",style="solid", color="blue", weight=9]; 1099 -> 541[label="",style="solid", color="blue", weight=3]; 1100[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1100[label="",style="solid", color="blue", weight=9]; 1100 -> 542[label="",style="solid", color="blue", weight=3]; 1101[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1101[label="",style="solid", color="blue", weight=9]; 1101 -> 543[label="",style="solid", color="blue", weight=3]; 1102[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1102[label="",style="solid", color="blue", weight=9]; 1102 -> 544[label="",style="solid", color="blue", weight=3]; 1103[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1103[label="",style="solid", color="blue", weight=9]; 1103 -> 545[label="",style="solid", color="blue", weight=3]; 1104[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1104[label="",style="solid", color="blue", weight=9]; 1104 -> 546[label="",style="solid", color="blue", weight=3]; 1105[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1105[label="",style="solid", color="blue", weight=9]; 1105 -> 547[label="",style="solid", color="blue", weight=3]; 1106[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1106[label="",style="solid", color="blue", weight=9]; 1106 -> 548[label="",style="solid", color="blue", weight=3]; 1107[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1107[label="",style="solid", color="blue", weight=9]; 1107 -> 549[label="",style="solid", color="blue", weight=3]; 1108[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1108[label="",style="solid", color="blue", weight=9]; 1108 -> 550[label="",style="solid", color="blue", weight=3]; 1109[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1109[label="",style="solid", color="blue", weight=9]; 1109 -> 551[label="",style="solid", color="blue", weight=3]; 1110[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1110[label="",style="solid", color="blue", weight=9]; 1110 -> 552[label="",style="solid", color="blue", weight=3]; 1111[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1111[label="",style="solid", color="blue", weight=9]; 1111 -> 553[label="",style="solid", color="blue", weight=3]; 1112[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1112[label="",style="solid", color="blue", weight=9]; 1112 -> 554[label="",style="solid", color="blue", weight=3]; 452[label="primEqNat yu300 yu40000",fontsize=16,color="burlywood",shape="triangle"];1113[label="yu300/Succ yu3000",fontsize=10,color="white",style="solid",shape="box"];452 -> 1113[label="",style="solid", color="burlywood", weight=9]; 1113 -> 555[label="",style="solid", color="burlywood", weight=3]; 1114[label="yu300/Zero",fontsize=10,color="white",style="solid",shape="box"];452 -> 1114[label="",style="solid", color="burlywood", weight=9]; 1114 -> 556[label="",style="solid", color="burlywood", weight=3]; 453 -> 326[label="",style="dashed", color="red", weight=0]; 453[label="yu300 * yu40001 == yu301 * yu40000",fontsize=16,color="magenta"];453 -> 557[label="",style="dashed", color="magenta", weight=3]; 453 -> 558[label="",style="dashed", color="magenta", weight=3]; 454 -> 318[label="",style="dashed", color="red", weight=0]; 454[label="yu300 == yu40000",fontsize=16,color="magenta"];454 -> 559[label="",style="dashed", color="magenta", weight=3]; 454 -> 560[label="",style="dashed", color="magenta", weight=3]; 455 -> 319[label="",style="dashed", color="red", weight=0]; 455[label="yu300 == yu40000",fontsize=16,color="magenta"];455 -> 561[label="",style="dashed", color="magenta", weight=3]; 455 -> 562[label="",style="dashed", color="magenta", weight=3]; 456 -> 320[label="",style="dashed", color="red", weight=0]; 456[label="yu300 == yu40000",fontsize=16,color="magenta"];456 -> 563[label="",style="dashed", color="magenta", weight=3]; 456 -> 564[label="",style="dashed", color="magenta", weight=3]; 457 -> 321[label="",style="dashed", color="red", weight=0]; 457[label="yu300 == yu40000",fontsize=16,color="magenta"];457 -> 565[label="",style="dashed", color="magenta", weight=3]; 457 -> 566[label="",style="dashed", color="magenta", weight=3]; 458 -> 322[label="",style="dashed", color="red", weight=0]; 458[label="yu300 == yu40000",fontsize=16,color="magenta"];458 -> 567[label="",style="dashed", color="magenta", weight=3]; 458 -> 568[label="",style="dashed", color="magenta", weight=3]; 459 -> 323[label="",style="dashed", color="red", weight=0]; 459[label="yu300 == yu40000",fontsize=16,color="magenta"];459 -> 569[label="",style="dashed", color="magenta", weight=3]; 459 -> 570[label="",style="dashed", color="magenta", weight=3]; 460 -> 324[label="",style="dashed", color="red", weight=0]; 460[label="yu300 == yu40000",fontsize=16,color="magenta"];460 -> 571[label="",style="dashed", color="magenta", weight=3]; 460 -> 572[label="",style="dashed", color="magenta", weight=3]; 461 -> 325[label="",style="dashed", color="red", weight=0]; 461[label="yu300 == yu40000",fontsize=16,color="magenta"];461 -> 573[label="",style="dashed", color="magenta", weight=3]; 461 -> 574[label="",style="dashed", color="magenta", weight=3]; 462 -> 326[label="",style="dashed", color="red", weight=0]; 462[label="yu300 == yu40000",fontsize=16,color="magenta"];462 -> 575[label="",style="dashed", color="magenta", weight=3]; 462 -> 576[label="",style="dashed", color="magenta", weight=3]; 463 -> 327[label="",style="dashed", color="red", weight=0]; 463[label="yu300 == yu40000",fontsize=16,color="magenta"];463 -> 577[label="",style="dashed", color="magenta", weight=3]; 463 -> 578[label="",style="dashed", color="magenta", weight=3]; 464 -> 328[label="",style="dashed", color="red", weight=0]; 464[label="yu300 == yu40000",fontsize=16,color="magenta"];464 -> 579[label="",style="dashed", color="magenta", weight=3]; 464 -> 580[label="",style="dashed", color="magenta", weight=3]; 465 -> 329[label="",style="dashed", color="red", weight=0]; 465[label="yu300 == yu40000",fontsize=16,color="magenta"];465 -> 581[label="",style="dashed", color="magenta", weight=3]; 465 -> 582[label="",style="dashed", color="magenta", weight=3]; 466 -> 312[label="",style="dashed", color="red", weight=0]; 466[label="yu300 == yu40000",fontsize=16,color="magenta"];466 -> 583[label="",style="dashed", color="magenta", weight=3]; 466 -> 584[label="",style="dashed", color="magenta", weight=3]; 467 -> 331[label="",style="dashed", color="red", weight=0]; 467[label="yu300 == yu40000",fontsize=16,color="magenta"];467 -> 585[label="",style="dashed", color="magenta", weight=3]; 467 -> 586[label="",style="dashed", color="magenta", weight=3]; 468[label="primEqInt (Pos (Succ yu3000)) (Pos yu40000)",fontsize=16,color="burlywood",shape="box"];1115[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];468 -> 1115[label="",style="solid", color="burlywood", weight=9]; 1115 -> 587[label="",style="solid", color="burlywood", weight=3]; 1116[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];468 -> 1116[label="",style="solid", color="burlywood", weight=9]; 1116 -> 588[label="",style="solid", color="burlywood", weight=3]; 469[label="primEqInt (Pos (Succ yu3000)) (Neg yu40000)",fontsize=16,color="black",shape="box"];469 -> 589[label="",style="solid", color="black", weight=3]; 470[label="primEqInt (Pos Zero) (Pos yu40000)",fontsize=16,color="burlywood",shape="box"];1117[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];470 -> 1117[label="",style="solid", color="burlywood", weight=9]; 1117 -> 590[label="",style="solid", color="burlywood", weight=3]; 1118[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];470 -> 1118[label="",style="solid", color="burlywood", weight=9]; 1118 -> 591[label="",style="solid", color="burlywood", weight=3]; 471[label="primEqInt (Pos Zero) (Neg yu40000)",fontsize=16,color="burlywood",shape="box"];1119[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];471 -> 1119[label="",style="solid", color="burlywood", weight=9]; 1119 -> 592[label="",style="solid", color="burlywood", weight=3]; 1120[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];471 -> 1120[label="",style="solid", color="burlywood", weight=9]; 1120 -> 593[label="",style="solid", color="burlywood", weight=3]; 472[label="primEqInt (Neg (Succ yu3000)) (Pos yu40000)",fontsize=16,color="black",shape="box"];472 -> 594[label="",style="solid", color="black", weight=3]; 473[label="primEqInt (Neg (Succ yu3000)) (Neg yu40000)",fontsize=16,color="burlywood",shape="box"];1121[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];473 -> 1121[label="",style="solid", color="burlywood", weight=9]; 1121 -> 595[label="",style="solid", color="burlywood", weight=3]; 1122[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];473 -> 1122[label="",style="solid", color="burlywood", weight=9]; 1122 -> 596[label="",style="solid", color="burlywood", weight=3]; 474[label="primEqInt (Neg Zero) (Pos yu40000)",fontsize=16,color="burlywood",shape="box"];1123[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];474 -> 1123[label="",style="solid", color="burlywood", weight=9]; 1123 -> 597[label="",style="solid", color="burlywood", weight=3]; 1124[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];474 -> 1124[label="",style="solid", color="burlywood", weight=9]; 1124 -> 598[label="",style="solid", color="burlywood", weight=3]; 475[label="primEqInt (Neg Zero) (Neg yu40000)",fontsize=16,color="burlywood",shape="box"];1125[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];475 -> 1125[label="",style="solid", color="burlywood", weight=9]; 1125 -> 599[label="",style="solid", color="burlywood", weight=3]; 1126[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];475 -> 1126[label="",style="solid", color="burlywood", weight=9]; 1126 -> 600[label="",style="solid", color="burlywood", weight=3]; 476[label="yu301 == yu40001",fontsize=16,color="blue",shape="box"];1127[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];476 -> 1127[label="",style="solid", color="blue", weight=9]; 1127 -> 601[label="",style="solid", color="blue", weight=3]; 1128[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];476 -> 1128[label="",style="solid", color="blue", weight=9]; 1128 -> 602[label="",style="solid", color="blue", weight=3]; 1129[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];476 -> 1129[label="",style="solid", color="blue", weight=9]; 1129 -> 603[label="",style="solid", color="blue", weight=3]; 1130[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];476 -> 1130[label="",style="solid", color="blue", weight=9]; 1130 -> 604[label="",style="solid", color="blue", weight=3]; 1131[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];476 -> 1131[label="",style="solid", color="blue", weight=9]; 1131 -> 605[label="",style="solid", color="blue", weight=3]; 1132[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];476 -> 1132[label="",style="solid", color="blue", weight=9]; 1132 -> 606[label="",style="solid", color="blue", weight=3]; 1133[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];476 -> 1133[label="",style="solid", color="blue", weight=9]; 1133 -> 607[label="",style="solid", color="blue", weight=3]; 1134[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];476 -> 1134[label="",style="solid", color="blue", weight=9]; 1134 -> 608[label="",style="solid", color="blue", weight=3]; 1135[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];476 -> 1135[label="",style="solid", color="blue", weight=9]; 1135 -> 609[label="",style="solid", color="blue", weight=3]; 1136[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];476 -> 1136[label="",style="solid", color="blue", weight=9]; 1136 -> 610[label="",style="solid", color="blue", weight=3]; 1137[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];476 -> 1137[label="",style="solid", color="blue", weight=9]; 1137 -> 611[label="",style="solid", color="blue", weight=3]; 1138[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];476 -> 1138[label="",style="solid", color="blue", weight=9]; 1138 -> 612[label="",style="solid", color="blue", weight=3]; 1139[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];476 -> 1139[label="",style="solid", color="blue", weight=9]; 1139 -> 613[label="",style="solid", color="blue", weight=3]; 1140[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];476 -> 1140[label="",style="solid", color="blue", weight=9]; 1140 -> 614[label="",style="solid", color="blue", weight=3]; 477[label="yu300 == yu40000",fontsize=16,color="blue",shape="box"];1141[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];477 -> 1141[label="",style="solid", color="blue", weight=9]; 1141 -> 615[label="",style="solid", color="blue", weight=3]; 1142[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];477 -> 1142[label="",style="solid", color="blue", weight=9]; 1142 -> 616[label="",style="solid", color="blue", weight=3]; 1143[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];477 -> 1143[label="",style="solid", color="blue", weight=9]; 1143 -> 617[label="",style="solid", color="blue", weight=3]; 1144[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];477 -> 1144[label="",style="solid", color="blue", weight=9]; 1144 -> 618[label="",style="solid", color="blue", weight=3]; 1145[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];477 -> 1145[label="",style="solid", color="blue", weight=9]; 1145 -> 619[label="",style="solid", color="blue", weight=3]; 1146[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];477 -> 1146[label="",style="solid", color="blue", weight=9]; 1146 -> 620[label="",style="solid", color="blue", weight=3]; 1147[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];477 -> 1147[label="",style="solid", color="blue", weight=9]; 1147 -> 621[label="",style="solid", color="blue", weight=3]; 1148[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];477 -> 1148[label="",style="solid", color="blue", weight=9]; 1148 -> 622[label="",style="solid", color="blue", weight=3]; 1149[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];477 -> 1149[label="",style="solid", color="blue", weight=9]; 1149 -> 623[label="",style="solid", color="blue", weight=3]; 1150[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];477 -> 1150[label="",style="solid", color="blue", weight=9]; 1150 -> 624[label="",style="solid", color="blue", weight=3]; 1151[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];477 -> 1151[label="",style="solid", color="blue", weight=9]; 1151 -> 625[label="",style="solid", color="blue", weight=3]; 1152[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];477 -> 1152[label="",style="solid", color="blue", weight=9]; 1152 -> 626[label="",style="solid", color="blue", weight=3]; 1153[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];477 -> 1153[label="",style="solid", color="blue", weight=9]; 1153 -> 627[label="",style="solid", color="blue", weight=3]; 1154[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];477 -> 1154[label="",style="solid", color="blue", weight=9]; 1154 -> 628[label="",style="solid", color="blue", weight=3]; 478 -> 318[label="",style="dashed", color="red", weight=0]; 478[label="yu300 == yu40000",fontsize=16,color="magenta"];478 -> 629[label="",style="dashed", color="magenta", weight=3]; 478 -> 630[label="",style="dashed", color="magenta", weight=3]; 479 -> 319[label="",style="dashed", color="red", weight=0]; 479[label="yu300 == yu40000",fontsize=16,color="magenta"];479 -> 631[label="",style="dashed", color="magenta", weight=3]; 479 -> 632[label="",style="dashed", color="magenta", weight=3]; 480 -> 320[label="",style="dashed", color="red", weight=0]; 480[label="yu300 == yu40000",fontsize=16,color="magenta"];480 -> 633[label="",style="dashed", color="magenta", weight=3]; 480 -> 634[label="",style="dashed", color="magenta", weight=3]; 481 -> 321[label="",style="dashed", color="red", weight=0]; 481[label="yu300 == yu40000",fontsize=16,color="magenta"];481 -> 635[label="",style="dashed", color="magenta", weight=3]; 481 -> 636[label="",style="dashed", color="magenta", weight=3]; 482 -> 322[label="",style="dashed", color="red", weight=0]; 482[label="yu300 == yu40000",fontsize=16,color="magenta"];482 -> 637[label="",style="dashed", color="magenta", weight=3]; 482 -> 638[label="",style="dashed", color="magenta", weight=3]; 483 -> 323[label="",style="dashed", color="red", weight=0]; 483[label="yu300 == yu40000",fontsize=16,color="magenta"];483 -> 639[label="",style="dashed", color="magenta", weight=3]; 483 -> 640[label="",style="dashed", color="magenta", weight=3]; 484 -> 324[label="",style="dashed", color="red", weight=0]; 484[label="yu300 == yu40000",fontsize=16,color="magenta"];484 -> 641[label="",style="dashed", color="magenta", weight=3]; 484 -> 642[label="",style="dashed", color="magenta", weight=3]; 485 -> 325[label="",style="dashed", color="red", weight=0]; 485[label="yu300 == yu40000",fontsize=16,color="magenta"];485 -> 643[label="",style="dashed", color="magenta", weight=3]; 485 -> 644[label="",style="dashed", color="magenta", weight=3]; 486 -> 326[label="",style="dashed", color="red", weight=0]; 486[label="yu300 == yu40000",fontsize=16,color="magenta"];486 -> 645[label="",style="dashed", color="magenta", weight=3]; 486 -> 646[label="",style="dashed", color="magenta", weight=3]; 487 -> 327[label="",style="dashed", color="red", weight=0]; 487[label="yu300 == yu40000",fontsize=16,color="magenta"];487 -> 647[label="",style="dashed", color="magenta", weight=3]; 487 -> 648[label="",style="dashed", color="magenta", weight=3]; 488 -> 328[label="",style="dashed", color="red", weight=0]; 488[label="yu300 == yu40000",fontsize=16,color="magenta"];488 -> 649[label="",style="dashed", color="magenta", weight=3]; 488 -> 650[label="",style="dashed", color="magenta", weight=3]; 489 -> 329[label="",style="dashed", color="red", weight=0]; 489[label="yu300 == yu40000",fontsize=16,color="magenta"];489 -> 651[label="",style="dashed", color="magenta", weight=3]; 489 -> 652[label="",style="dashed", color="magenta", weight=3]; 490 -> 312[label="",style="dashed", color="red", weight=0]; 490[label="yu300 == yu40000",fontsize=16,color="magenta"];490 -> 653[label="",style="dashed", color="magenta", weight=3]; 490 -> 654[label="",style="dashed", color="magenta", weight=3]; 491 -> 331[label="",style="dashed", color="red", weight=0]; 491[label="yu300 == yu40000",fontsize=16,color="magenta"];491 -> 655[label="",style="dashed", color="magenta", weight=3]; 491 -> 656[label="",style="dashed", color="magenta", weight=3]; 492 -> 318[label="",style="dashed", color="red", weight=0]; 492[label="yu300 == yu40000",fontsize=16,color="magenta"];492 -> 657[label="",style="dashed", color="magenta", weight=3]; 492 -> 658[label="",style="dashed", color="magenta", weight=3]; 493 -> 319[label="",style="dashed", color="red", weight=0]; 493[label="yu300 == yu40000",fontsize=16,color="magenta"];493 -> 659[label="",style="dashed", color="magenta", weight=3]; 493 -> 660[label="",style="dashed", color="magenta", weight=3]; 494 -> 320[label="",style="dashed", color="red", weight=0]; 494[label="yu300 == yu40000",fontsize=16,color="magenta"];494 -> 661[label="",style="dashed", color="magenta", weight=3]; 494 -> 662[label="",style="dashed", color="magenta", weight=3]; 495 -> 321[label="",style="dashed", color="red", weight=0]; 495[label="yu300 == yu40000",fontsize=16,color="magenta"];495 -> 663[label="",style="dashed", color="magenta", weight=3]; 495 -> 664[label="",style="dashed", color="magenta", weight=3]; 496 -> 322[label="",style="dashed", color="red", weight=0]; 496[label="yu300 == yu40000",fontsize=16,color="magenta"];496 -> 665[label="",style="dashed", color="magenta", weight=3]; 496 -> 666[label="",style="dashed", color="magenta", weight=3]; 497 -> 323[label="",style="dashed", color="red", weight=0]; 497[label="yu300 == yu40000",fontsize=16,color="magenta"];497 -> 667[label="",style="dashed", color="magenta", weight=3]; 497 -> 668[label="",style="dashed", color="magenta", weight=3]; 498 -> 324[label="",style="dashed", color="red", weight=0]; 498[label="yu300 == yu40000",fontsize=16,color="magenta"];498 -> 669[label="",style="dashed", color="magenta", weight=3]; 498 -> 670[label="",style="dashed", color="magenta", weight=3]; 499 -> 325[label="",style="dashed", color="red", weight=0]; 499[label="yu300 == yu40000",fontsize=16,color="magenta"];499 -> 671[label="",style="dashed", color="magenta", weight=3]; 499 -> 672[label="",style="dashed", color="magenta", weight=3]; 500 -> 326[label="",style="dashed", color="red", weight=0]; 500[label="yu300 == yu40000",fontsize=16,color="magenta"];500 -> 673[label="",style="dashed", color="magenta", weight=3]; 500 -> 674[label="",style="dashed", color="magenta", weight=3]; 501 -> 327[label="",style="dashed", color="red", weight=0]; 501[label="yu300 == yu40000",fontsize=16,color="magenta"];501 -> 675[label="",style="dashed", color="magenta", weight=3]; 501 -> 676[label="",style="dashed", color="magenta", weight=3]; 502 -> 328[label="",style="dashed", color="red", weight=0]; 502[label="yu300 == yu40000",fontsize=16,color="magenta"];502 -> 677[label="",style="dashed", color="magenta", weight=3]; 502 -> 678[label="",style="dashed", color="magenta", weight=3]; 503 -> 329[label="",style="dashed", color="red", weight=0]; 503[label="yu300 == yu40000",fontsize=16,color="magenta"];503 -> 679[label="",style="dashed", color="magenta", weight=3]; 503 -> 680[label="",style="dashed", color="magenta", weight=3]; 504 -> 312[label="",style="dashed", color="red", weight=0]; 504[label="yu300 == yu40000",fontsize=16,color="magenta"];504 -> 681[label="",style="dashed", color="magenta", weight=3]; 504 -> 682[label="",style="dashed", color="magenta", weight=3]; 505 -> 331[label="",style="dashed", color="red", weight=0]; 505[label="yu300 == yu40000",fontsize=16,color="magenta"];505 -> 683[label="",style="dashed", color="magenta", weight=3]; 505 -> 684[label="",style="dashed", color="magenta", weight=3]; 506 -> 326[label="",style="dashed", color="red", weight=0]; 506[label="yu300 * yu40001 == yu301 * yu40000",fontsize=16,color="magenta"];506 -> 685[label="",style="dashed", color="magenta", weight=3]; 506 -> 686[label="",style="dashed", color="magenta", weight=3]; 507[label="yu310",fontsize=16,color="green",shape="box"];508[label="yu40010",fontsize=16,color="green",shape="box"];509[label="yu310",fontsize=16,color="green",shape="box"];510[label="yu40010",fontsize=16,color="green",shape="box"];511[label="yu310",fontsize=16,color="green",shape="box"];512[label="yu40010",fontsize=16,color="green",shape="box"];513[label="yu310",fontsize=16,color="green",shape="box"];514[label="yu40010",fontsize=16,color="green",shape="box"];515[label="yu310",fontsize=16,color="green",shape="box"];516[label="yu40010",fontsize=16,color="green",shape="box"];517[label="yu310",fontsize=16,color="green",shape="box"];518[label="yu40010",fontsize=16,color="green",shape="box"];519[label="yu310",fontsize=16,color="green",shape="box"];520[label="yu40010",fontsize=16,color="green",shape="box"];521[label="yu310",fontsize=16,color="green",shape="box"];522[label="yu40010",fontsize=16,color="green",shape="box"];523[label="yu310",fontsize=16,color="green",shape="box"];524[label="yu40010",fontsize=16,color="green",shape="box"];525[label="yu310",fontsize=16,color="green",shape="box"];526[label="yu40010",fontsize=16,color="green",shape="box"];527[label="yu310",fontsize=16,color="green",shape="box"];528[label="yu40010",fontsize=16,color="green",shape="box"];529[label="yu310",fontsize=16,color="green",shape="box"];530[label="yu40010",fontsize=16,color="green",shape="box"];531[label="yu310",fontsize=16,color="green",shape="box"];532[label="yu40010",fontsize=16,color="green",shape="box"];533[label="yu310",fontsize=16,color="green",shape="box"];534[label="yu40010",fontsize=16,color="green",shape="box"];535 -> 319[label="",style="dashed", color="red", weight=0]; 535[label="yu301 == yu40001",fontsize=16,color="magenta"];535 -> 687[label="",style="dashed", color="magenta", weight=3]; 535 -> 688[label="",style="dashed", color="magenta", weight=3]; 536 -> 326[label="",style="dashed", color="red", weight=0]; 536[label="yu301 == yu40001",fontsize=16,color="magenta"];536 -> 689[label="",style="dashed", color="magenta", weight=3]; 536 -> 690[label="",style="dashed", color="magenta", weight=3]; 537 -> 319[label="",style="dashed", color="red", weight=0]; 537[label="yu300 == yu40000",fontsize=16,color="magenta"];537 -> 691[label="",style="dashed", color="magenta", weight=3]; 537 -> 692[label="",style="dashed", color="magenta", weight=3]; 538 -> 326[label="",style="dashed", color="red", weight=0]; 538[label="yu300 == yu40000",fontsize=16,color="magenta"];538 -> 693[label="",style="dashed", color="magenta", weight=3]; 538 -> 694[label="",style="dashed", color="magenta", weight=3]; 539[label="yu302 == yu40002",fontsize=16,color="blue",shape="box"];1155[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];539 -> 1155[label="",style="solid", color="blue", weight=9]; 1155 -> 695[label="",style="solid", color="blue", weight=3]; 1156[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];539 -> 1156[label="",style="solid", color="blue", weight=9]; 1156 -> 696[label="",style="solid", color="blue", weight=3]; 1157[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];539 -> 1157[label="",style="solid", color="blue", weight=9]; 1157 -> 697[label="",style="solid", color="blue", weight=3]; 1158[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];539 -> 1158[label="",style="solid", color="blue", weight=9]; 1158 -> 698[label="",style="solid", color="blue", weight=3]; 1159[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];539 -> 1159[label="",style="solid", color="blue", weight=9]; 1159 -> 699[label="",style="solid", color="blue", weight=3]; 1160[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];539 -> 1160[label="",style="solid", color="blue", weight=9]; 1160 -> 700[label="",style="solid", color="blue", weight=3]; 1161[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];539 -> 1161[label="",style="solid", color="blue", weight=9]; 1161 -> 701[label="",style="solid", color="blue", weight=3]; 1162[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];539 -> 1162[label="",style="solid", color="blue", weight=9]; 1162 -> 702[label="",style="solid", color="blue", weight=3]; 1163[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];539 -> 1163[label="",style="solid", color="blue", weight=9]; 1163 -> 703[label="",style="solid", color="blue", weight=3]; 1164[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];539 -> 1164[label="",style="solid", color="blue", weight=9]; 1164 -> 704[label="",style="solid", color="blue", weight=3]; 1165[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];539 -> 1165[label="",style="solid", color="blue", weight=9]; 1165 -> 705[label="",style="solid", color="blue", weight=3]; 1166[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];539 -> 1166[label="",style="solid", color="blue", weight=9]; 1166 -> 706[label="",style="solid", color="blue", weight=3]; 1167[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];539 -> 1167[label="",style="solid", color="blue", weight=9]; 1167 -> 707[label="",style="solid", color="blue", weight=3]; 1168[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];539 -> 1168[label="",style="solid", color="blue", weight=9]; 1168 -> 708[label="",style="solid", color="blue", weight=3]; 540[label="yu301 == yu40001",fontsize=16,color="blue",shape="box"];1169[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1169[label="",style="solid", color="blue", weight=9]; 1169 -> 709[label="",style="solid", color="blue", weight=3]; 1170[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1170[label="",style="solid", color="blue", weight=9]; 1170 -> 710[label="",style="solid", color="blue", weight=3]; 1171[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1171[label="",style="solid", color="blue", weight=9]; 1171 -> 711[label="",style="solid", color="blue", weight=3]; 1172[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1172[label="",style="solid", color="blue", weight=9]; 1172 -> 712[label="",style="solid", color="blue", weight=3]; 1173[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1173[label="",style="solid", color="blue", weight=9]; 1173 -> 713[label="",style="solid", color="blue", weight=3]; 1174[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1174[label="",style="solid", color="blue", weight=9]; 1174 -> 714[label="",style="solid", color="blue", weight=3]; 1175[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1175[label="",style="solid", color="blue", weight=9]; 1175 -> 715[label="",style="solid", color="blue", weight=3]; 1176[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1176[label="",style="solid", color="blue", weight=9]; 1176 -> 716[label="",style="solid", color="blue", weight=3]; 1177[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1177[label="",style="solid", color="blue", weight=9]; 1177 -> 717[label="",style="solid", color="blue", weight=3]; 1178[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1178[label="",style="solid", color="blue", weight=9]; 1178 -> 718[label="",style="solid", color="blue", weight=3]; 1179[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1179[label="",style="solid", color="blue", weight=9]; 1179 -> 719[label="",style="solid", color="blue", weight=3]; 1180[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1180[label="",style="solid", color="blue", weight=9]; 1180 -> 720[label="",style="solid", color="blue", weight=3]; 1181[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1181[label="",style="solid", color="blue", weight=9]; 1181 -> 721[label="",style="solid", color="blue", weight=3]; 1182[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1182[label="",style="solid", color="blue", weight=9]; 1182 -> 722[label="",style="solid", color="blue", weight=3]; 541 -> 318[label="",style="dashed", color="red", weight=0]; 541[label="yu300 == yu40000",fontsize=16,color="magenta"];541 -> 723[label="",style="dashed", color="magenta", weight=3]; 541 -> 724[label="",style="dashed", color="magenta", weight=3]; 542 -> 319[label="",style="dashed", color="red", weight=0]; 542[label="yu300 == yu40000",fontsize=16,color="magenta"];542 -> 725[label="",style="dashed", color="magenta", weight=3]; 542 -> 726[label="",style="dashed", color="magenta", weight=3]; 543 -> 320[label="",style="dashed", color="red", weight=0]; 543[label="yu300 == yu40000",fontsize=16,color="magenta"];543 -> 727[label="",style="dashed", color="magenta", weight=3]; 543 -> 728[label="",style="dashed", color="magenta", weight=3]; 544 -> 321[label="",style="dashed", color="red", weight=0]; 544[label="yu300 == yu40000",fontsize=16,color="magenta"];544 -> 729[label="",style="dashed", color="magenta", weight=3]; 544 -> 730[label="",style="dashed", color="magenta", weight=3]; 545 -> 322[label="",style="dashed", color="red", weight=0]; 545[label="yu300 == yu40000",fontsize=16,color="magenta"];545 -> 731[label="",style="dashed", color="magenta", weight=3]; 545 -> 732[label="",style="dashed", color="magenta", weight=3]; 546 -> 323[label="",style="dashed", color="red", weight=0]; 546[label="yu300 == yu40000",fontsize=16,color="magenta"];546 -> 733[label="",style="dashed", color="magenta", weight=3]; 546 -> 734[label="",style="dashed", color="magenta", weight=3]; 547 -> 324[label="",style="dashed", color="red", weight=0]; 547[label="yu300 == yu40000",fontsize=16,color="magenta"];547 -> 735[label="",style="dashed", color="magenta", weight=3]; 547 -> 736[label="",style="dashed", color="magenta", weight=3]; 548 -> 325[label="",style="dashed", color="red", weight=0]; 548[label="yu300 == yu40000",fontsize=16,color="magenta"];548 -> 737[label="",style="dashed", color="magenta", weight=3]; 548 -> 738[label="",style="dashed", color="magenta", weight=3]; 549 -> 326[label="",style="dashed", color="red", weight=0]; 549[label="yu300 == yu40000",fontsize=16,color="magenta"];549 -> 739[label="",style="dashed", color="magenta", weight=3]; 549 -> 740[label="",style="dashed", color="magenta", weight=3]; 550 -> 327[label="",style="dashed", color="red", weight=0]; 550[label="yu300 == yu40000",fontsize=16,color="magenta"];550 -> 741[label="",style="dashed", color="magenta", weight=3]; 550 -> 742[label="",style="dashed", color="magenta", weight=3]; 551 -> 328[label="",style="dashed", color="red", weight=0]; 551[label="yu300 == yu40000",fontsize=16,color="magenta"];551 -> 743[label="",style="dashed", color="magenta", weight=3]; 551 -> 744[label="",style="dashed", color="magenta", weight=3]; 552 -> 329[label="",style="dashed", color="red", weight=0]; 552[label="yu300 == yu40000",fontsize=16,color="magenta"];552 -> 745[label="",style="dashed", color="magenta", weight=3]; 552 -> 746[label="",style="dashed", color="magenta", weight=3]; 553 -> 312[label="",style="dashed", color="red", weight=0]; 553[label="yu300 == yu40000",fontsize=16,color="magenta"];553 -> 747[label="",style="dashed", color="magenta", weight=3]; 553 -> 748[label="",style="dashed", color="magenta", weight=3]; 554 -> 331[label="",style="dashed", color="red", weight=0]; 554[label="yu300 == yu40000",fontsize=16,color="magenta"];554 -> 749[label="",style="dashed", color="magenta", weight=3]; 554 -> 750[label="",style="dashed", color="magenta", weight=3]; 555[label="primEqNat (Succ yu3000) yu40000",fontsize=16,color="burlywood",shape="box"];1183[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];555 -> 1183[label="",style="solid", color="burlywood", weight=9]; 1183 -> 751[label="",style="solid", color="burlywood", weight=3]; 1184[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];555 -> 1184[label="",style="solid", color="burlywood", weight=9]; 1184 -> 752[label="",style="solid", color="burlywood", weight=3]; 556[label="primEqNat Zero yu40000",fontsize=16,color="burlywood",shape="box"];1185[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];556 -> 1185[label="",style="solid", color="burlywood", weight=9]; 1185 -> 753[label="",style="solid", color="burlywood", weight=3]; 1186[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];556 -> 1186[label="",style="solid", color="burlywood", weight=9]; 1186 -> 754[label="",style="solid", color="burlywood", weight=3]; 557[label="yu300 * yu40001",fontsize=16,color="black",shape="triangle"];557 -> 755[label="",style="solid", color="black", weight=3]; 558 -> 557[label="",style="dashed", color="red", weight=0]; 558[label="yu301 * yu40000",fontsize=16,color="magenta"];558 -> 756[label="",style="dashed", color="magenta", weight=3]; 558 -> 757[label="",style="dashed", color="magenta", weight=3]; 559[label="yu300",fontsize=16,color="green",shape="box"];560[label="yu40000",fontsize=16,color="green",shape="box"];561[label="yu300",fontsize=16,color="green",shape="box"];562[label="yu40000",fontsize=16,color="green",shape="box"];563[label="yu300",fontsize=16,color="green",shape="box"];564[label="yu40000",fontsize=16,color="green",shape="box"];565[label="yu300",fontsize=16,color="green",shape="box"];566[label="yu40000",fontsize=16,color="green",shape="box"];567[label="yu300",fontsize=16,color="green",shape="box"];568[label="yu40000",fontsize=16,color="green",shape="box"];569[label="yu300",fontsize=16,color="green",shape="box"];570[label="yu40000",fontsize=16,color="green",shape="box"];571[label="yu300",fontsize=16,color="green",shape="box"];572[label="yu40000",fontsize=16,color="green",shape="box"];573[label="yu300",fontsize=16,color="green",shape="box"];574[label="yu40000",fontsize=16,color="green",shape="box"];575[label="yu300",fontsize=16,color="green",shape="box"];576[label="yu40000",fontsize=16,color="green",shape="box"];577[label="yu300",fontsize=16,color="green",shape="box"];578[label="yu40000",fontsize=16,color="green",shape="box"];579[label="yu300",fontsize=16,color="green",shape="box"];580[label="yu40000",fontsize=16,color="green",shape="box"];581[label="yu300",fontsize=16,color="green",shape="box"];582[label="yu40000",fontsize=16,color="green",shape="box"];583[label="yu300",fontsize=16,color="green",shape="box"];584[label="yu40000",fontsize=16,color="green",shape="box"];585[label="yu300",fontsize=16,color="green",shape="box"];586[label="yu40000",fontsize=16,color="green",shape="box"];587[label="primEqInt (Pos (Succ yu3000)) (Pos (Succ yu400000))",fontsize=16,color="black",shape="box"];587 -> 758[label="",style="solid", color="black", weight=3]; 588[label="primEqInt (Pos (Succ yu3000)) (Pos Zero)",fontsize=16,color="black",shape="box"];588 -> 759[label="",style="solid", color="black", weight=3]; 589[label="False",fontsize=16,color="green",shape="box"];590[label="primEqInt (Pos Zero) (Pos (Succ yu400000))",fontsize=16,color="black",shape="box"];590 -> 760[label="",style="solid", color="black", weight=3]; 591[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];591 -> 761[label="",style="solid", color="black", weight=3]; 592[label="primEqInt (Pos Zero) (Neg (Succ yu400000))",fontsize=16,color="black",shape="box"];592 -> 762[label="",style="solid", color="black", weight=3]; 593[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];593 -> 763[label="",style="solid", color="black", weight=3]; 594[label="False",fontsize=16,color="green",shape="box"];595[label="primEqInt (Neg (Succ yu3000)) (Neg (Succ yu400000))",fontsize=16,color="black",shape="box"];595 -> 764[label="",style="solid", color="black", weight=3]; 596[label="primEqInt (Neg (Succ yu3000)) (Neg Zero)",fontsize=16,color="black",shape="box"];596 -> 765[label="",style="solid", color="black", weight=3]; 597[label="primEqInt (Neg Zero) (Pos (Succ yu400000))",fontsize=16,color="black",shape="box"];597 -> 766[label="",style="solid", color="black", weight=3]; 598[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];598 -> 767[label="",style="solid", color="black", weight=3]; 599[label="primEqInt (Neg Zero) (Neg (Succ yu400000))",fontsize=16,color="black",shape="box"];599 -> 768[label="",style="solid", color="black", weight=3]; 600[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];600 -> 769[label="",style="solid", color="black", weight=3]; 601 -> 318[label="",style="dashed", color="red", weight=0]; 601[label="yu301 == yu40001",fontsize=16,color="magenta"];601 -> 770[label="",style="dashed", color="magenta", weight=3]; 601 -> 771[label="",style="dashed", color="magenta", weight=3]; 602 -> 319[label="",style="dashed", color="red", weight=0]; 602[label="yu301 == yu40001",fontsize=16,color="magenta"];602 -> 772[label="",style="dashed", color="magenta", weight=3]; 602 -> 773[label="",style="dashed", color="magenta", weight=3]; 603 -> 320[label="",style="dashed", color="red", weight=0]; 603[label="yu301 == yu40001",fontsize=16,color="magenta"];603 -> 774[label="",style="dashed", color="magenta", weight=3]; 603 -> 775[label="",style="dashed", color="magenta", weight=3]; 604 -> 321[label="",style="dashed", color="red", weight=0]; 604[label="yu301 == yu40001",fontsize=16,color="magenta"];604 -> 776[label="",style="dashed", color="magenta", weight=3]; 604 -> 777[label="",style="dashed", color="magenta", weight=3]; 605 -> 322[label="",style="dashed", color="red", weight=0]; 605[label="yu301 == yu40001",fontsize=16,color="magenta"];605 -> 778[label="",style="dashed", color="magenta", weight=3]; 605 -> 779[label="",style="dashed", color="magenta", weight=3]; 606 -> 323[label="",style="dashed", color="red", weight=0]; 606[label="yu301 == yu40001",fontsize=16,color="magenta"];606 -> 780[label="",style="dashed", color="magenta", weight=3]; 606 -> 781[label="",style="dashed", color="magenta", weight=3]; 607 -> 324[label="",style="dashed", color="red", weight=0]; 607[label="yu301 == yu40001",fontsize=16,color="magenta"];607 -> 782[label="",style="dashed", color="magenta", weight=3]; 607 -> 783[label="",style="dashed", color="magenta", weight=3]; 608 -> 325[label="",style="dashed", color="red", weight=0]; 608[label="yu301 == yu40001",fontsize=16,color="magenta"];608 -> 784[label="",style="dashed", color="magenta", weight=3]; 608 -> 785[label="",style="dashed", color="magenta", weight=3]; 609 -> 326[label="",style="dashed", color="red", weight=0]; 609[label="yu301 == yu40001",fontsize=16,color="magenta"];609 -> 786[label="",style="dashed", color="magenta", weight=3]; 609 -> 787[label="",style="dashed", color="magenta", weight=3]; 610 -> 327[label="",style="dashed", color="red", weight=0]; 610[label="yu301 == yu40001",fontsize=16,color="magenta"];610 -> 788[label="",style="dashed", color="magenta", weight=3]; 610 -> 789[label="",style="dashed", color="magenta", weight=3]; 611 -> 328[label="",style="dashed", color="red", weight=0]; 611[label="yu301 == yu40001",fontsize=16,color="magenta"];611 -> 790[label="",style="dashed", color="magenta", weight=3]; 611 -> 791[label="",style="dashed", color="magenta", weight=3]; 612 -> 329[label="",style="dashed", color="red", weight=0]; 612[label="yu301 == yu40001",fontsize=16,color="magenta"];612 -> 792[label="",style="dashed", color="magenta", weight=3]; 612 -> 793[label="",style="dashed", color="magenta", weight=3]; 613 -> 312[label="",style="dashed", color="red", weight=0]; 613[label="yu301 == yu40001",fontsize=16,color="magenta"];613 -> 794[label="",style="dashed", color="magenta", weight=3]; 613 -> 795[label="",style="dashed", color="magenta", weight=3]; 614 -> 331[label="",style="dashed", color="red", weight=0]; 614[label="yu301 == yu40001",fontsize=16,color="magenta"];614 -> 796[label="",style="dashed", color="magenta", weight=3]; 614 -> 797[label="",style="dashed", color="magenta", weight=3]; 615 -> 318[label="",style="dashed", color="red", weight=0]; 615[label="yu300 == yu40000",fontsize=16,color="magenta"];615 -> 798[label="",style="dashed", color="magenta", weight=3]; 615 -> 799[label="",style="dashed", color="magenta", weight=3]; 616 -> 319[label="",style="dashed", color="red", weight=0]; 616[label="yu300 == yu40000",fontsize=16,color="magenta"];616 -> 800[label="",style="dashed", color="magenta", weight=3]; 616 -> 801[label="",style="dashed", color="magenta", weight=3]; 617 -> 320[label="",style="dashed", color="red", weight=0]; 617[label="yu300 == yu40000",fontsize=16,color="magenta"];617 -> 802[label="",style="dashed", color="magenta", weight=3]; 617 -> 803[label="",style="dashed", color="magenta", weight=3]; 618 -> 321[label="",style="dashed", color="red", weight=0]; 618[label="yu300 == yu40000",fontsize=16,color="magenta"];618 -> 804[label="",style="dashed", color="magenta", weight=3]; 618 -> 805[label="",style="dashed", color="magenta", weight=3]; 619 -> 322[label="",style="dashed", color="red", weight=0]; 619[label="yu300 == yu40000",fontsize=16,color="magenta"];619 -> 806[label="",style="dashed", color="magenta", weight=3]; 619 -> 807[label="",style="dashed", color="magenta", weight=3]; 620 -> 323[label="",style="dashed", color="red", weight=0]; 620[label="yu300 == yu40000",fontsize=16,color="magenta"];620 -> 808[label="",style="dashed", color="magenta", weight=3]; 620 -> 809[label="",style="dashed", color="magenta", weight=3]; 621 -> 324[label="",style="dashed", color="red", weight=0]; 621[label="yu300 == yu40000",fontsize=16,color="magenta"];621 -> 810[label="",style="dashed", color="magenta", weight=3]; 621 -> 811[label="",style="dashed", color="magenta", weight=3]; 622 -> 325[label="",style="dashed", color="red", weight=0]; 622[label="yu300 == yu40000",fontsize=16,color="magenta"];622 -> 812[label="",style="dashed", color="magenta", weight=3]; 622 -> 813[label="",style="dashed", color="magenta", weight=3]; 623 -> 326[label="",style="dashed", color="red", weight=0]; 623[label="yu300 == yu40000",fontsize=16,color="magenta"];623 -> 814[label="",style="dashed", color="magenta", weight=3]; 623 -> 815[label="",style="dashed", color="magenta", weight=3]; 624 -> 327[label="",style="dashed", color="red", weight=0]; 624[label="yu300 == yu40000",fontsize=16,color="magenta"];624 -> 816[label="",style="dashed", color="magenta", weight=3]; 624 -> 817[label="",style="dashed", color="magenta", weight=3]; 625 -> 328[label="",style="dashed", color="red", weight=0]; 625[label="yu300 == yu40000",fontsize=16,color="magenta"];625 -> 818[label="",style="dashed", color="magenta", weight=3]; 625 -> 819[label="",style="dashed", color="magenta", weight=3]; 626 -> 329[label="",style="dashed", color="red", weight=0]; 626[label="yu300 == yu40000",fontsize=16,color="magenta"];626 -> 820[label="",style="dashed", color="magenta", weight=3]; 626 -> 821[label="",style="dashed", color="magenta", weight=3]; 627 -> 312[label="",style="dashed", color="red", weight=0]; 627[label="yu300 == yu40000",fontsize=16,color="magenta"];627 -> 822[label="",style="dashed", color="magenta", weight=3]; 627 -> 823[label="",style="dashed", color="magenta", weight=3]; 628 -> 331[label="",style="dashed", color="red", weight=0]; 628[label="yu300 == yu40000",fontsize=16,color="magenta"];628 -> 824[label="",style="dashed", color="magenta", weight=3]; 628 -> 825[label="",style="dashed", color="magenta", weight=3]; 629[label="yu300",fontsize=16,color="green",shape="box"];630[label="yu40000",fontsize=16,color="green",shape="box"];631[label="yu300",fontsize=16,color="green",shape="box"];632[label="yu40000",fontsize=16,color="green",shape="box"];633[label="yu300",fontsize=16,color="green",shape="box"];634[label="yu40000",fontsize=16,color="green",shape="box"];635[label="yu300",fontsize=16,color="green",shape="box"];636[label="yu40000",fontsize=16,color="green",shape="box"];637[label="yu300",fontsize=16,color="green",shape="box"];638[label="yu40000",fontsize=16,color="green",shape="box"];639[label="yu300",fontsize=16,color="green",shape="box"];640[label="yu40000",fontsize=16,color="green",shape="box"];641[label="yu300",fontsize=16,color="green",shape="box"];642[label="yu40000",fontsize=16,color="green",shape="box"];643[label="yu300",fontsize=16,color="green",shape="box"];644[label="yu40000",fontsize=16,color="green",shape="box"];645[label="yu300",fontsize=16,color="green",shape="box"];646[label="yu40000",fontsize=16,color="green",shape="box"];647[label="yu300",fontsize=16,color="green",shape="box"];648[label="yu40000",fontsize=16,color="green",shape="box"];649[label="yu300",fontsize=16,color="green",shape="box"];650[label="yu40000",fontsize=16,color="green",shape="box"];651[label="yu300",fontsize=16,color="green",shape="box"];652[label="yu40000",fontsize=16,color="green",shape="box"];653[label="yu300",fontsize=16,color="green",shape="box"];654[label="yu40000",fontsize=16,color="green",shape="box"];655[label="yu300",fontsize=16,color="green",shape="box"];656[label="yu40000",fontsize=16,color="green",shape="box"];657[label="yu300",fontsize=16,color="green",shape="box"];658[label="yu40000",fontsize=16,color="green",shape="box"];659[label="yu300",fontsize=16,color="green",shape="box"];660[label="yu40000",fontsize=16,color="green",shape="box"];661[label="yu300",fontsize=16,color="green",shape="box"];662[label="yu40000",fontsize=16,color="green",shape="box"];663[label="yu300",fontsize=16,color="green",shape="box"];664[label="yu40000",fontsize=16,color="green",shape="box"];665[label="yu300",fontsize=16,color="green",shape="box"];666[label="yu40000",fontsize=16,color="green",shape="box"];667[label="yu300",fontsize=16,color="green",shape="box"];668[label="yu40000",fontsize=16,color="green",shape="box"];669[label="yu300",fontsize=16,color="green",shape="box"];670[label="yu40000",fontsize=16,color="green",shape="box"];671[label="yu300",fontsize=16,color="green",shape="box"];672[label="yu40000",fontsize=16,color="green",shape="box"];673[label="yu300",fontsize=16,color="green",shape="box"];674[label="yu40000",fontsize=16,color="green",shape="box"];675[label="yu300",fontsize=16,color="green",shape="box"];676[label="yu40000",fontsize=16,color="green",shape="box"];677[label="yu300",fontsize=16,color="green",shape="box"];678[label="yu40000",fontsize=16,color="green",shape="box"];679[label="yu300",fontsize=16,color="green",shape="box"];680[label="yu40000",fontsize=16,color="green",shape="box"];681[label="yu300",fontsize=16,color="green",shape="box"];682[label="yu40000",fontsize=16,color="green",shape="box"];683[label="yu300",fontsize=16,color="green",shape="box"];684[label="yu40000",fontsize=16,color="green",shape="box"];685 -> 557[label="",style="dashed", color="red", weight=0]; 685[label="yu300 * yu40001",fontsize=16,color="magenta"];685 -> 826[label="",style="dashed", color="magenta", weight=3]; 685 -> 827[label="",style="dashed", color="magenta", weight=3]; 686 -> 557[label="",style="dashed", color="red", weight=0]; 686[label="yu301 * yu40000",fontsize=16,color="magenta"];686 -> 828[label="",style="dashed", color="magenta", weight=3]; 686 -> 829[label="",style="dashed", color="magenta", weight=3]; 687[label="yu301",fontsize=16,color="green",shape="box"];688[label="yu40001",fontsize=16,color="green",shape="box"];689[label="yu301",fontsize=16,color="green",shape="box"];690[label="yu40001",fontsize=16,color="green",shape="box"];691[label="yu300",fontsize=16,color="green",shape="box"];692[label="yu40000",fontsize=16,color="green",shape="box"];693[label="yu300",fontsize=16,color="green",shape="box"];694[label="yu40000",fontsize=16,color="green",shape="box"];695 -> 318[label="",style="dashed", color="red", weight=0]; 695[label="yu302 == yu40002",fontsize=16,color="magenta"];695 -> 830[label="",style="dashed", color="magenta", weight=3]; 695 -> 831[label="",style="dashed", color="magenta", weight=3]; 696 -> 319[label="",style="dashed", color="red", weight=0]; 696[label="yu302 == yu40002",fontsize=16,color="magenta"];696 -> 832[label="",style="dashed", color="magenta", weight=3]; 696 -> 833[label="",style="dashed", color="magenta", weight=3]; 697 -> 320[label="",style="dashed", color="red", weight=0]; 697[label="yu302 == yu40002",fontsize=16,color="magenta"];697 -> 834[label="",style="dashed", color="magenta", weight=3]; 697 -> 835[label="",style="dashed", color="magenta", weight=3]; 698 -> 321[label="",style="dashed", color="red", weight=0]; 698[label="yu302 == yu40002",fontsize=16,color="magenta"];698 -> 836[label="",style="dashed", color="magenta", weight=3]; 698 -> 837[label="",style="dashed", color="magenta", weight=3]; 699 -> 322[label="",style="dashed", color="red", weight=0]; 699[label="yu302 == yu40002",fontsize=16,color="magenta"];699 -> 838[label="",style="dashed", color="magenta", weight=3]; 699 -> 839[label="",style="dashed", color="magenta", weight=3]; 700 -> 323[label="",style="dashed", color="red", weight=0]; 700[label="yu302 == yu40002",fontsize=16,color="magenta"];700 -> 840[label="",style="dashed", color="magenta", weight=3]; 700 -> 841[label="",style="dashed", color="magenta", weight=3]; 701 -> 324[label="",style="dashed", color="red", weight=0]; 701[label="yu302 == yu40002",fontsize=16,color="magenta"];701 -> 842[label="",style="dashed", color="magenta", weight=3]; 701 -> 843[label="",style="dashed", color="magenta", weight=3]; 702 -> 325[label="",style="dashed", color="red", weight=0]; 702[label="yu302 == yu40002",fontsize=16,color="magenta"];702 -> 844[label="",style="dashed", color="magenta", weight=3]; 702 -> 845[label="",style="dashed", color="magenta", weight=3]; 703 -> 326[label="",style="dashed", color="red", weight=0]; 703[label="yu302 == yu40002",fontsize=16,color="magenta"];703 -> 846[label="",style="dashed", color="magenta", weight=3]; 703 -> 847[label="",style="dashed", color="magenta", weight=3]; 704 -> 327[label="",style="dashed", color="red", weight=0]; 704[label="yu302 == yu40002",fontsize=16,color="magenta"];704 -> 848[label="",style="dashed", color="magenta", weight=3]; 704 -> 849[label="",style="dashed", color="magenta", weight=3]; 705 -> 328[label="",style="dashed", color="red", weight=0]; 705[label="yu302 == yu40002",fontsize=16,color="magenta"];705 -> 850[label="",style="dashed", color="magenta", weight=3]; 705 -> 851[label="",style="dashed", color="magenta", weight=3]; 706 -> 329[label="",style="dashed", color="red", weight=0]; 706[label="yu302 == yu40002",fontsize=16,color="magenta"];706 -> 852[label="",style="dashed", color="magenta", weight=3]; 706 -> 853[label="",style="dashed", color="magenta", weight=3]; 707 -> 312[label="",style="dashed", color="red", weight=0]; 707[label="yu302 == 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yu40001",fontsize=16,color="magenta"];719 -> 878[label="",style="dashed", color="magenta", weight=3]; 719 -> 879[label="",style="dashed", color="magenta", weight=3]; 720 -> 329[label="",style="dashed", color="red", weight=0]; 720[label="yu301 == yu40001",fontsize=16,color="magenta"];720 -> 880[label="",style="dashed", color="magenta", weight=3]; 720 -> 881[label="",style="dashed", color="magenta", weight=3]; 721 -> 312[label="",style="dashed", color="red", weight=0]; 721[label="yu301 == yu40001",fontsize=16,color="magenta"];721 -> 882[label="",style="dashed", color="magenta", weight=3]; 721 -> 883[label="",style="dashed", color="magenta", weight=3]; 722 -> 331[label="",style="dashed", color="red", weight=0]; 722[label="yu301 == yu40001",fontsize=16,color="magenta"];722 -> 884[label="",style="dashed", color="magenta", weight=3]; 722 -> 885[label="",style="dashed", color="magenta", weight=3]; 723[label="yu300",fontsize=16,color="green",shape="box"];724[label="yu40000",fontsize=16,color="green",shape="box"];725[label="yu300",fontsize=16,color="green",shape="box"];726[label="yu40000",fontsize=16,color="green",shape="box"];727[label="yu300",fontsize=16,color="green",shape="box"];728[label="yu40000",fontsize=16,color="green",shape="box"];729[label="yu300",fontsize=16,color="green",shape="box"];730[label="yu40000",fontsize=16,color="green",shape="box"];731[label="yu300",fontsize=16,color="green",shape="box"];732[label="yu40000",fontsize=16,color="green",shape="box"];733[label="yu300",fontsize=16,color="green",shape="box"];734[label="yu40000",fontsize=16,color="green",shape="box"];735[label="yu300",fontsize=16,color="green",shape="box"];736[label="yu40000",fontsize=16,color="green",shape="box"];737[label="yu300",fontsize=16,color="green",shape="box"];738[label="yu40000",fontsize=16,color="green",shape="box"];739[label="yu300",fontsize=16,color="green",shape="box"];740[label="yu40000",fontsize=16,color="green",shape="box"];741[label="yu300",fontsize=16,color="green",shape="box"];742[label="yu40000",fontsize=16,color="green",shape="box"];743[label="yu300",fontsize=16,color="green",shape="box"];744[label="yu40000",fontsize=16,color="green",shape="box"];745[label="yu300",fontsize=16,color="green",shape="box"];746[label="yu40000",fontsize=16,color="green",shape="box"];747[label="yu300",fontsize=16,color="green",shape="box"];748[label="yu40000",fontsize=16,color="green",shape="box"];749[label="yu300",fontsize=16,color="green",shape="box"];750[label="yu40000",fontsize=16,color="green",shape="box"];751[label="primEqNat (Succ yu3000) (Succ yu400000)",fontsize=16,color="black",shape="box"];751 -> 886[label="",style="solid", color="black", weight=3]; 752[label="primEqNat (Succ yu3000) Zero",fontsize=16,color="black",shape="box"];752 -> 887[label="",style="solid", color="black", weight=3]; 753[label="primEqNat Zero (Succ yu400000)",fontsize=16,color="black",shape="box"];753 -> 888[label="",style="solid", color="black", weight=3]; 754[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];754 -> 889[label="",style="solid", color="black", weight=3]; 755[label="primMulInt yu300 yu40001",fontsize=16,color="burlywood",shape="box"];1187[label="yu300/Pos yu3000",fontsize=10,color="white",style="solid",shape="box"];755 -> 1187[label="",style="solid", color="burlywood", weight=9]; 1187 -> 890[label="",style="solid", color="burlywood", weight=3]; 1188[label="yu300/Neg yu3000",fontsize=10,color="white",style="solid",shape="box"];755 -> 1188[label="",style="solid", color="burlywood", weight=9]; 1188 -> 891[label="",style="solid", color="burlywood", weight=3]; 756[label="yu301",fontsize=16,color="green",shape="box"];757[label="yu40000",fontsize=16,color="green",shape="box"];758 -> 452[label="",style="dashed", color="red", weight=0]; 758[label="primEqNat yu3000 yu400000",fontsize=16,color="magenta"];758 -> 892[label="",style="dashed", color="magenta", weight=3]; 758 -> 893[label="",style="dashed", color="magenta", weight=3]; 759[label="False",fontsize=16,color="green",shape="box"];760[label="False",fontsize=16,color="green",shape="box"];761[label="True",fontsize=16,color="green",shape="box"];762[label="False",fontsize=16,color="green",shape="box"];763[label="True",fontsize=16,color="green",shape="box"];764 -> 452[label="",style="dashed", color="red", weight=0]; 764[label="primEqNat yu3000 yu400000",fontsize=16,color="magenta"];764 -> 894[label="",style="dashed", color="magenta", weight=3]; 764 -> 895[label="",style="dashed", color="magenta", weight=3]; 765[label="False",fontsize=16,color="green",shape="box"];766[label="False",fontsize=16,color="green",shape="box"];767[label="True",fontsize=16,color="green",shape="box"];768[label="False",fontsize=16,color="green",shape="box"];769[label="True",fontsize=16,color="green",shape="box"];770[label="yu301",fontsize=16,color="green",shape="box"];771[label="yu40001",fontsize=16,color="green",shape="box"];772[label="yu301",fontsize=16,color="green",shape="box"];773[label="yu40001",fontsize=16,color="green",shape="box"];774[label="yu301",fontsize=16,color="green",shape="box"];775[label="yu40001",fontsize=16,color="green",shape="box"];776[label="yu301",fontsize=16,color="green",shape="box"];777[label="yu40001",fontsize=16,color="green",shape="box"];778[label="yu301",fontsize=16,color="green",shape="box"];779[label="yu40001",fontsize=16,color="green",shape="box"];780[label="yu301",fontsize=16,color="green",shape="box"];781[label="yu40001",fontsize=16,color="green",shape="box"];782[label="yu301",fontsize=16,color="green",shape="box"];783[label="yu40001",fontsize=16,color="green",shape="box"];784[label="yu301",fontsize=16,color="green",shape="box"];785[label="yu40001",fontsize=16,color="green",shape="box"];786[label="yu301",fontsize=16,color="green",shape="box"];787[label="yu40001",fontsize=16,color="green",shape="box"];788[label="yu301",fontsize=16,color="green",shape="box"];789[label="yu40001",fontsize=16,color="green",shape="box"];790[label="yu301",fontsize=16,color="green",shape="box"];791[label="yu40001",fontsize=16,color="green",shape="box"];792[label="yu301",fontsize=16,color="green",shape="box"];793[label="yu40001",fontsize=16,color="green",shape="box"];794[label="yu301",fontsize=16,color="green",shape="box"];795[label="yu40001",fontsize=16,color="green",shape="box"];796[label="yu301",fontsize=16,color="green",shape="box"];797[label="yu40001",fontsize=16,color="green",shape="box"];798[label="yu300",fontsize=16,color="green",shape="box"];799[label="yu40000",fontsize=16,color="green",shape="box"];800[label="yu300",fontsize=16,color="green",shape="box"];801[label="yu40000",fontsize=16,color="green",shape="box"];802[label="yu300",fontsize=16,color="green",shape="box"];803[label="yu40000",fontsize=16,color="green",shape="box"];804[label="yu300",fontsize=16,color="green",shape="box"];805[label="yu40000",fontsize=16,color="green",shape="box"];806[label="yu300",fontsize=16,color="green",shape="box"];807[label="yu40000",fontsize=16,color="green",shape="box"];808[label="yu300",fontsize=16,color="green",shape="box"];809[label="yu40000",fontsize=16,color="green",shape="box"];810[label="yu300",fontsize=16,color="green",shape="box"];811[label="yu40000",fontsize=16,color="green",shape="box"];812[label="yu300",fontsize=16,color="green",shape="box"];813[label="yu40000",fontsize=16,color="green",shape="box"];814[label="yu300",fontsize=16,color="green",shape="box"];815[label="yu40000",fontsize=16,color="green",shape="box"];816[label="yu300",fontsize=16,color="green",shape="box"];817[label="yu40000",fontsize=16,color="green",shape="box"];818[label="yu300",fontsize=16,color="green",shape="box"];819[label="yu40000",fontsize=16,color="green",shape="box"];820[label="yu300",fontsize=16,color="green",shape="box"];821[label="yu40000",fontsize=16,color="green",shape="box"];822[label="yu300",fontsize=16,color="green",shape="box"];823[label="yu40000",fontsize=16,color="green",shape="box"];824[label="yu300",fontsize=16,color="green",shape="box"];825[label="yu40000",fontsize=16,color="green",shape="box"];826[label="yu300",fontsize=16,color="green",shape="box"];827[label="yu40001",fontsize=16,color="green",shape="box"];828[label="yu301",fontsize=16,color="green",shape="box"];829[label="yu40000",fontsize=16,color="green",shape="box"];830[label="yu302",fontsize=16,color="green",shape="box"];831[label="yu40002",fontsize=16,color="green",shape="box"];832[label="yu302",fontsize=16,color="green",shape="box"];833[label="yu40002",fontsize=16,color="green",shape="box"];834[label="yu302",fontsize=16,color="green",shape="box"];835[label="yu40002",fontsize=16,color="green",shape="box"];836[label="yu302",fontsize=16,color="green",shape="box"];837[label="yu40002",fontsize=16,color="green",shape="box"];838[label="yu302",fontsize=16,color="green",shape="box"];839[label="yu40002",fontsize=16,color="green",shape="box"];840[label="yu302",fontsize=16,color="green",shape="box"];841[label="yu40002",fontsize=16,color="green",shape="box"];842[label="yu302",fontsize=16,color="green",shape="box"];843[label="yu40002",fontsize=16,color="green",shape="box"];844[label="yu302",fontsize=16,color="green",shape="box"];845[label="yu40002",fontsize=16,color="green",shape="box"];846[label="yu302",fontsize=16,color="green",shape="box"];847[label="yu40002",fontsize=16,color="green",shape="box"];848[label="yu302",fontsize=16,color="green",shape="box"];849[label="yu40002",fontsize=16,color="green",shape="box"];850[label="yu302",fontsize=16,color="green",shape="box"];851[label="yu40002",fontsize=16,color="green",shape="box"];852[label="yu302",fontsize=16,color="green",shape="box"];853[label="yu40002",fontsize=16,color="green",shape="box"];854[label="yu302",fontsize=16,color="green",shape="box"];855[label="yu40002",fontsize=16,color="green",shape="box"];856[label="yu302",fontsize=16,color="green",shape="box"];857[label="yu40002",fontsize=16,color="green",shape="box"];858[label="yu301",fontsize=16,color="green",shape="box"];859[label="yu40001",fontsize=16,color="green",shape="box"];860[label="yu301",fontsize=16,color="green",shape="box"];861[label="yu40001",fontsize=16,color="green",shape="box"];862[label="yu301",fontsize=16,color="green",shape="box"];863[label="yu40001",fontsize=16,color="green",shape="box"];864[label="yu301",fontsize=16,color="green",shape="box"];865[label="yu40001",fontsize=16,color="green",shape="box"];866[label="yu301",fontsize=16,color="green",shape="box"];867[label="yu40001",fontsize=16,color="green",shape="box"];868[label="yu301",fontsize=16,color="green",shape="box"];869[label="yu40001",fontsize=16,color="green",shape="box"];870[label="yu301",fontsize=16,color="green",shape="box"];871[label="yu40001",fontsize=16,color="green",shape="box"];872[label="yu301",fontsize=16,color="green",shape="box"];873[label="yu40001",fontsize=16,color="green",shape="box"];874[label="yu301",fontsize=16,color="green",shape="box"];875[label="yu40001",fontsize=16,color="green",shape="box"];876[label="yu301",fontsize=16,color="green",shape="box"];877[label="yu40001",fontsize=16,color="green",shape="box"];878[label="yu301",fontsize=16,color="green",shape="box"];879[label="yu40001",fontsize=16,color="green",shape="box"];880[label="yu301",fontsize=16,color="green",shape="box"];881[label="yu40001",fontsize=16,color="green",shape="box"];882[label="yu301",fontsize=16,color="green",shape="box"];883[label="yu40001",fontsize=16,color="green",shape="box"];884[label="yu301",fontsize=16,color="green",shape="box"];885[label="yu40001",fontsize=16,color="green",shape="box"];886 -> 452[label="",style="dashed", color="red", weight=0]; 886[label="primEqNat yu3000 yu400000",fontsize=16,color="magenta"];886 -> 896[label="",style="dashed", color="magenta", weight=3]; 886 -> 897[label="",style="dashed", color="magenta", weight=3]; 887[label="False",fontsize=16,color="green",shape="box"];888[label="False",fontsize=16,color="green",shape="box"];889[label="True",fontsize=16,color="green",shape="box"];890[label="primMulInt (Pos yu3000) yu40001",fontsize=16,color="burlywood",shape="box"];1189[label="yu40001/Pos yu400010",fontsize=10,color="white",style="solid",shape="box"];890 -> 1189[label="",style="solid", color="burlywood", weight=9]; 1189 -> 898[label="",style="solid", color="burlywood", weight=3]; 1190[label="yu40001/Neg yu400010",fontsize=10,color="white",style="solid",shape="box"];890 -> 1190[label="",style="solid", color="burlywood", weight=9]; 1190 -> 899[label="",style="solid", color="burlywood", weight=3]; 891[label="primMulInt (Neg yu3000) yu40001",fontsize=16,color="burlywood",shape="box"];1191[label="yu40001/Pos yu400010",fontsize=10,color="white",style="solid",shape="box"];891 -> 1191[label="",style="solid", color="burlywood", weight=9]; 1191 -> 900[label="",style="solid", color="burlywood", weight=3]; 1192[label="yu40001/Neg yu400010",fontsize=10,color="white",style="solid",shape="box"];891 -> 1192[label="",style="solid", color="burlywood", weight=9]; 1192 -> 901[label="",style="solid", color="burlywood", weight=3]; 892[label="yu400000",fontsize=16,color="green",shape="box"];893[label="yu3000",fontsize=16,color="green",shape="box"];894[label="yu400000",fontsize=16,color="green",shape="box"];895[label="yu3000",fontsize=16,color="green",shape="box"];896[label="yu400000",fontsize=16,color="green",shape="box"];897[label="yu3000",fontsize=16,color="green",shape="box"];898[label="primMulInt (Pos yu3000) (Pos yu400010)",fontsize=16,color="black",shape="box"];898 -> 902[label="",style="solid", color="black", weight=3]; 899[label="primMulInt (Pos yu3000) (Neg yu400010)",fontsize=16,color="black",shape="box"];899 -> 903[label="",style="solid", color="black", weight=3]; 900[label="primMulInt (Neg yu3000) (Pos yu400010)",fontsize=16,color="black",shape="box"];900 -> 904[label="",style="solid", color="black", weight=3]; 901[label="primMulInt (Neg yu3000) (Neg yu400010)",fontsize=16,color="black",shape="box"];901 -> 905[label="",style="solid", color="black", weight=3]; 902[label="Pos (primMulNat yu3000 yu400010)",fontsize=16,color="green",shape="box"];902 -> 906[label="",style="dashed", color="green", weight=3]; 903[label="Neg (primMulNat yu3000 yu400010)",fontsize=16,color="green",shape="box"];903 -> 907[label="",style="dashed", color="green", weight=3]; 904[label="Neg (primMulNat yu3000 yu400010)",fontsize=16,color="green",shape="box"];904 -> 908[label="",style="dashed", color="green", weight=3]; 905[label="Pos (primMulNat yu3000 yu400010)",fontsize=16,color="green",shape="box"];905 -> 909[label="",style="dashed", color="green", weight=3]; 906[label="primMulNat yu3000 yu400010",fontsize=16,color="burlywood",shape="triangle"];1193[label="yu3000/Succ yu30000",fontsize=10,color="white",style="solid",shape="box"];906 -> 1193[label="",style="solid", color="burlywood", weight=9]; 1193 -> 910[label="",style="solid", color="burlywood", weight=3]; 1194[label="yu3000/Zero",fontsize=10,color="white",style="solid",shape="box"];906 -> 1194[label="",style="solid", color="burlywood", weight=9]; 1194 -> 911[label="",style="solid", color="burlywood", weight=3]; 907 -> 906[label="",style="dashed", color="red", weight=0]; 907[label="primMulNat yu3000 yu400010",fontsize=16,color="magenta"];907 -> 912[label="",style="dashed", color="magenta", weight=3]; 908 -> 906[label="",style="dashed", color="red", weight=0]; 908[label="primMulNat yu3000 yu400010",fontsize=16,color="magenta"];908 -> 913[label="",style="dashed", color="magenta", weight=3]; 909 -> 906[label="",style="dashed", color="red", weight=0]; 909[label="primMulNat yu3000 yu400010",fontsize=16,color="magenta"];909 -> 914[label="",style="dashed", color="magenta", weight=3]; 909 -> 915[label="",style="dashed", color="magenta", weight=3]; 910[label="primMulNat (Succ yu30000) yu400010",fontsize=16,color="burlywood",shape="box"];1195[label="yu400010/Succ yu4000100",fontsize=10,color="white",style="solid",shape="box"];910 -> 1195[label="",style="solid", color="burlywood", weight=9]; 1195 -> 916[label="",style="solid", color="burlywood", weight=3]; 1196[label="yu400010/Zero",fontsize=10,color="white",style="solid",shape="box"];910 -> 1196[label="",style="solid", color="burlywood", weight=9]; 1196 -> 917[label="",style="solid", color="burlywood", weight=3]; 911[label="primMulNat Zero yu400010",fontsize=16,color="burlywood",shape="box"];1197[label="yu400010/Succ yu4000100",fontsize=10,color="white",style="solid",shape="box"];911 -> 1197[label="",style="solid", color="burlywood", weight=9]; 1197 -> 918[label="",style="solid", color="burlywood", weight=3]; 1198[label="yu400010/Zero",fontsize=10,color="white",style="solid",shape="box"];911 -> 1198[label="",style="solid", color="burlywood", weight=9]; 1198 -> 919[label="",style="solid", color="burlywood", weight=3]; 912[label="yu400010",fontsize=16,color="green",shape="box"];913[label="yu3000",fontsize=16,color="green",shape="box"];914[label="yu3000",fontsize=16,color="green",shape="box"];915[label="yu400010",fontsize=16,color="green",shape="box"];916[label="primMulNat (Succ yu30000) (Succ yu4000100)",fontsize=16,color="black",shape="box"];916 -> 920[label="",style="solid", color="black", weight=3]; 917[label="primMulNat (Succ yu30000) Zero",fontsize=16,color="black",shape="box"];917 -> 921[label="",style="solid", color="black", weight=3]; 918[label="primMulNat Zero (Succ yu4000100)",fontsize=16,color="black",shape="box"];918 -> 922[label="",style="solid", color="black", weight=3]; 919[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];919 -> 923[label="",style="solid", color="black", weight=3]; 920 -> 924[label="",style="dashed", color="red", weight=0]; 920[label="primPlusNat (primMulNat yu30000 (Succ yu4000100)) (Succ yu4000100)",fontsize=16,color="magenta"];920 -> 925[label="",style="dashed", color="magenta", weight=3]; 921[label="Zero",fontsize=16,color="green",shape="box"];922[label="Zero",fontsize=16,color="green",shape="box"];923[label="Zero",fontsize=16,color="green",shape="box"];925 -> 906[label="",style="dashed", color="red", weight=0]; 925[label="primMulNat yu30000 (Succ yu4000100)",fontsize=16,color="magenta"];925 -> 926[label="",style="dashed", color="magenta", weight=3]; 925 -> 927[label="",style="dashed", color="magenta", weight=3]; 924[label="primPlusNat yu34 (Succ yu4000100)",fontsize=16,color="burlywood",shape="triangle"];1199[label="yu34/Succ yu340",fontsize=10,color="white",style="solid",shape="box"];924 -> 1199[label="",style="solid", color="burlywood", weight=9]; 1199 -> 928[label="",style="solid", color="burlywood", weight=3]; 1200[label="yu34/Zero",fontsize=10,color="white",style="solid",shape="box"];924 -> 1200[label="",style="solid", color="burlywood", weight=9]; 1200 -> 929[label="",style="solid", color="burlywood", weight=3]; 926[label="yu30000",fontsize=16,color="green",shape="box"];927[label="Succ yu4000100",fontsize=16,color="green",shape="box"];928[label="primPlusNat (Succ yu340) (Succ yu4000100)",fontsize=16,color="black",shape="box"];928 -> 930[label="",style="solid", color="black", weight=3]; 929[label="primPlusNat Zero (Succ yu4000100)",fontsize=16,color="black",shape="box"];929 -> 931[label="",style="solid", color="black", weight=3]; 930[label="Succ (Succ (primPlusNat yu340 yu4000100))",fontsize=16,color="green",shape="box"];930 -> 932[label="",style="dashed", color="green", weight=3]; 931[label="Succ yu4000100",fontsize=16,color="green",shape="box"];932[label="primPlusNat yu340 yu4000100",fontsize=16,color="burlywood",shape="triangle"];1201[label="yu340/Succ yu3400",fontsize=10,color="white",style="solid",shape="box"];932 -> 1201[label="",style="solid", color="burlywood", weight=9]; 1201 -> 933[label="",style="solid", color="burlywood", weight=3]; 1202[label="yu340/Zero",fontsize=10,color="white",style="solid",shape="box"];932 -> 1202[label="",style="solid", color="burlywood", weight=9]; 1202 -> 934[label="",style="solid", color="burlywood", weight=3]; 933[label="primPlusNat (Succ yu3400) yu4000100",fontsize=16,color="burlywood",shape="box"];1203[label="yu4000100/Succ yu40001000",fontsize=10,color="white",style="solid",shape="box"];933 -> 1203[label="",style="solid", color="burlywood", weight=9]; 1203 -> 935[label="",style="solid", color="burlywood", weight=3]; 1204[label="yu4000100/Zero",fontsize=10,color="white",style="solid",shape="box"];933 -> 1204[label="",style="solid", color="burlywood", weight=9]; 1204 -> 936[label="",style="solid", color="burlywood", weight=3]; 934[label="primPlusNat Zero yu4000100",fontsize=16,color="burlywood",shape="box"];1205[label="yu4000100/Succ yu40001000",fontsize=10,color="white",style="solid",shape="box"];934 -> 1205[label="",style="solid", color="burlywood", weight=9]; 1205 -> 937[label="",style="solid", color="burlywood", weight=3]; 1206[label="yu4000100/Zero",fontsize=10,color="white",style="solid",shape="box"];934 -> 1206[label="",style="solid", color="burlywood", weight=9]; 1206 -> 938[label="",style="solid", color="burlywood", weight=3]; 935[label="primPlusNat (Succ yu3400) (Succ yu40001000)",fontsize=16,color="black",shape="box"];935 -> 939[label="",style="solid", color="black", weight=3]; 936[label="primPlusNat (Succ yu3400) Zero",fontsize=16,color="black",shape="box"];936 -> 940[label="",style="solid", color="black", weight=3]; 937[label="primPlusNat Zero (Succ yu40001000)",fontsize=16,color="black",shape="box"];937 -> 941[label="",style="solid", color="black", weight=3]; 938[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];938 -> 942[label="",style="solid", color="black", weight=3]; 939[label="Succ (Succ (primPlusNat yu3400 yu40001000))",fontsize=16,color="green",shape="box"];939 -> 943[label="",style="dashed", color="green", weight=3]; 940[label="Succ yu3400",fontsize=16,color="green",shape="box"];941[label="Succ yu40001000",fontsize=16,color="green",shape="box"];942[label="Zero",fontsize=16,color="green",shape="box"];943 -> 932[label="",style="dashed", color="red", weight=0]; 943[label="primPlusNat yu3400 yu40001000",fontsize=16,color="magenta"];943 -> 944[label="",style="dashed", color="magenta", weight=3]; 943 -> 945[label="",style="dashed", color="magenta", weight=3]; 944[label="yu40001000",fontsize=16,color="green",shape="box"];945[label="yu3400",fontsize=16,color="green",shape="box"];} ---------------------------------------- (6) Complex Obligation (AND) ---------------------------------------- (7) Obligation: Q DP problem: The TRS P consists of the following rules: new_lookup(:(yu30, yu31), :(@2([], yu401), yu41), bb, bc) -> new_lookup(:(yu30, yu31), yu41, bb, bc) new_lookup1(yu13, yu14, yu15, yu16, yu17, yu18, False, h, ba) -> new_lookup(:(yu13, yu14), yu18, h, ba) new_lookup([], :(@2(:(yu4000, yu4001), yu401), yu41), bb, bc) -> new_lookup([], yu41, bb, bc) new_lookup(:(yu30, yu31), :(@2(:(yu4000, yu4001), yu401), yu41), bb, bc) -> new_lookup1(yu30, yu31, yu4000, yu4001, yu401, yu41, new_asAs(new_esEs5(yu30, yu4000, bc), new_esEs4(yu31, yu4001, bc)), bb, bc) The TRS R consists of the following rules: new_esEs22(yu301, yu40001, ty_Float) -> new_esEs6(yu301, yu40001) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_esEs26(yu300, yu40000, ty_Integer) -> new_esEs10(yu300, yu40000) new_esEs24(yu310, yu40010, app(app(ty_@2, hc), hd)) -> new_esEs15(yu310, yu40010, hc, hd) new_esEs8(Just(yu300), Just(yu40000), ty_Bool) -> new_esEs14(yu300, yu40000) new_esEs4(:(yu310, yu311), :(yu40010, yu40011), bc) -> new_asAs(new_esEs24(yu310, yu40010, bc), new_esEs4(yu311, yu40011, bc)) new_esEs8(Nothing, Nothing, bd) -> True new_esEs22(yu301, yu40001, ty_Double) -> new_esEs18(yu301, yu40001) new_esEs23(yu300, yu40000, ty_Char) -> new_esEs13(yu300, yu40000) new_esEs19(yu302, yu40002, ty_@0) -> new_esEs16(yu302, yu40002) new_esEs17(Left(yu300), Left(yu40000), ty_Char, hf) -> new_esEs13(yu300, yu40000) new_esEs20(yu301, yu40001, ty_Ordering) -> new_esEs12(yu301, yu40001) new_esEs21(yu300, yu40000, app(app(ty_Either, gg), gh)) -> new_esEs17(yu300, yu40000, gg, gh) new_esEs5(yu30, yu4000, ty_Integer) -> new_esEs10(yu30, yu4000) new_esEs8(Nothing, Just(yu40000), bd) -> False new_esEs8(Just(yu300), Nothing, bd) -> False new_esEs17(Right(yu300), Right(yu40000), he, ty_Char) -> new_esEs13(yu300, yu40000) new_esEs22(yu301, yu40001, app(ty_Maybe, bad)) -> new_esEs8(yu301, yu40001, bad) new_esEs20(yu301, yu40001, app(ty_Ratio, ee)) -> new_esEs9(yu301, yu40001, ee) new_esEs22(yu301, yu40001, app(ty_[], bba)) -> new_esEs4(yu301, yu40001, bba) new_esEs5(yu30, yu4000, app(ty_[], hg)) -> new_esEs4(yu30, yu4000, hg) new_esEs20(yu301, yu40001, ty_Bool) -> new_esEs14(yu301, yu40001) new_esEs12(GT, GT) -> True new_asAs(True, yu33) -> yu33 new_esEs5(yu30, yu4000, app(ty_Maybe, bd)) -> new_esEs8(yu30, yu4000, bd) new_esEs10(Integer(yu300), Integer(yu40000)) -> new_primEqInt(yu300, yu40000) new_esEs21(yu300, yu40000, app(app(app(ty_@3, ga), gb), gc)) -> new_esEs11(yu300, yu40000, ga, gb, gc) new_esEs21(yu300, yu40000, ty_Int) -> new_esEs7(yu300, yu40000) new_esEs20(yu301, yu40001, ty_Double) -> new_esEs18(yu301, yu40001) new_primEqInt(Pos(Succ(yu3000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(yu400000))) -> False new_esEs19(yu302, yu40002, ty_Char) -> new_esEs13(yu302, yu40002) new_esEs23(yu300, yu40000, ty_@0) -> new_esEs16(yu300, yu40000) new_esEs20(yu301, yu40001, ty_Float) -> new_esEs6(yu301, yu40001) new_esEs16(@0, @0) -> True new_esEs23(yu300, yu40000, app(app(ty_Either, bca), bcb)) -> new_esEs17(yu300, yu40000, bca, bcb) new_esEs8(Just(yu300), Just(yu40000), ty_Char) -> new_esEs13(yu300, yu40000) new_esEs5(yu30, yu4000, app(app(ty_@2, hc), hd)) -> new_esEs15(yu30, yu4000, hc, hd) new_primEqNat0(Succ(yu3000), Succ(yu400000)) -> new_primEqNat0(yu3000, yu400000) new_esEs20(yu301, yu40001, app(ty_Maybe, fa)) -> new_esEs8(yu301, yu40001, fa) new_esEs5(yu30, yu4000, app(app(app(ty_@3, cg), da), db)) -> new_esEs11(yu30, yu4000, cg, da, db) new_esEs19(yu302, yu40002, ty_Bool) -> new_esEs14(yu302, yu40002) new_esEs5(yu30, yu4000, ty_Int) -> new_esEs7(yu30, yu4000) new_esEs26(yu300, yu40000, ty_Int) -> new_esEs7(yu300, yu40000) new_esEs12(EQ, EQ) -> True new_esEs17(Left(yu300), Left(yu40000), app(app(ty_@2, bda), bdb), hf) -> new_esEs15(yu300, yu40000, bda, bdb) new_esEs24(yu310, yu40010, app(ty_[], hg)) -> new_esEs4(yu310, yu40010, hg) new_esEs23(yu300, yu40000, ty_Int) -> new_esEs7(yu300, yu40000) new_primMulNat0(Zero, Zero) -> Zero new_esEs23(yu300, yu40000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_esEs11(yu300, yu40000, bbc, bbd, bbe) new_esEs5(yu30, yu4000, app(ty_Ratio, hb)) -> new_esEs9(yu30, yu4000, hb) new_esEs22(yu301, yu40001, ty_Integer) -> new_esEs10(yu301, yu40001) new_esEs21(yu300, yu40000, ty_Integer) -> new_esEs10(yu300, yu40000) new_esEs8(Just(yu300), Just(yu40000), ty_Double) -> new_esEs18(yu300, yu40000) new_esEs8(Just(yu300), Just(yu40000), ty_Float) -> new_esEs6(yu300, yu40000) new_esEs17(Right(yu300), Right(yu40000), he, app(ty_[], beg)) -> new_esEs4(yu300, yu40000, beg) new_esEs21(yu300, yu40000, ty_@0) -> new_esEs16(yu300, yu40000) new_esEs12(LT, LT) -> True new_esEs17(Left(yu300), Left(yu40000), app(ty_[], bde), hf) -> new_esEs4(yu300, yu40000, bde) new_primEqNat0(Succ(yu3000), Zero) -> False new_primEqNat0(Zero, Succ(yu400000)) -> False new_esEs17(Right(yu300), Right(yu40000), he, ty_Bool) -> new_esEs14(yu300, yu40000) new_esEs23(yu300, yu40000, ty_Bool) -> new_esEs14(yu300, yu40000) new_esEs14(False, True) -> False new_esEs14(True, False) -> False new_esEs24(yu310, yu40010, ty_Double) -> new_esEs18(yu310, yu40010) new_esEs17(Right(yu300), Right(yu40000), he, ty_Double) -> new_esEs18(yu300, yu40000) new_esEs24(yu310, yu40010, ty_Float) -> new_esEs6(yu310, yu40010) new_esEs17(Right(yu300), Right(yu40000), he, ty_Float) -> new_esEs6(yu300, yu40000) new_esEs21(yu300, yu40000, app(ty_Maybe, gd)) -> new_esEs8(yu300, yu40000, gd) new_esEs5(yu30, yu4000, ty_Double) -> new_esEs18(yu30, yu4000) new_primEqInt(Neg(Succ(yu3000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(yu400000))) -> False new_esEs22(yu301, yu40001, ty_Ordering) -> new_esEs12(yu301, yu40001) new_esEs5(yu30, yu4000, ty_Float) -> new_esEs6(yu30, yu4000) new_primEqInt(Pos(Succ(yu3000)), Pos(Succ(yu400000))) -> new_primEqNat0(yu3000, yu400000) new_esEs17(Left(yu300), Right(yu40000), he, hf) -> False new_esEs17(Right(yu300), Left(yu40000), he, hf) -> False new_esEs24(yu310, yu40010, ty_Bool) -> new_esEs14(yu310, yu40010) new_esEs5(yu30, yu4000, ty_Bool) -> new_esEs14(yu30, yu4000) new_esEs7(yu30, yu4000) -> new_primEqInt(yu30, yu4000) new_sr(Pos(yu3000), Neg(yu400010)) -> Neg(new_primMulNat0(yu3000, yu400010)) new_sr(Neg(yu3000), Pos(yu400010)) -> Neg(new_primMulNat0(yu3000, yu400010)) new_esEs11(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cg, da, db) -> new_asAs(new_esEs21(yu300, yu40000, cg), new_asAs(new_esEs20(yu301, yu40001, da), new_esEs19(yu302, yu40002, db))) new_primPlusNat1(Succ(yu3400), Succ(yu40001000)) -> Succ(Succ(new_primPlusNat1(yu3400, yu40001000))) new_esEs22(yu301, yu40001, app(app(ty_@2, bae), baf)) -> new_esEs15(yu301, yu40001, bae, baf) new_esEs22(yu301, yu40001, app(app(app(ty_@3, baa), bab), bac)) -> new_esEs11(yu301, yu40001, baa, bab, bac) new_esEs14(False, False) -> True new_primEqInt(Pos(Succ(yu3000)), Neg(yu40000)) -> False new_primEqInt(Neg(Succ(yu3000)), Pos(yu40000)) -> False new_esEs22(yu301, yu40001, ty_Int) -> new_esEs7(yu301, yu40001) new_esEs17(Left(yu300), Left(yu40000), ty_Double, hf) -> new_esEs18(yu300, yu40000) new_esEs17(Left(yu300), Left(yu40000), ty_Float, hf) -> new_esEs6(yu300, yu40000) new_esEs17(Right(yu300), Right(yu40000), he, app(app(app(ty_@3, bdg), bdh), bea)) -> new_esEs11(yu300, yu40000, bdg, bdh, bea) new_esEs22(yu301, yu40001, app(ty_Ratio, hh)) -> new_esEs9(yu301, yu40001, hh) new_esEs22(yu301, yu40001, ty_@0) -> new_esEs16(yu301, yu40001) new_esEs5(yu30, yu4000, ty_Char) -> new_esEs13(yu30, yu4000) new_esEs12(EQ, GT) -> False new_esEs12(GT, EQ) -> False new_esEs17(Left(yu300), Left(yu40000), ty_Bool, hf) -> new_esEs14(yu300, yu40000) new_esEs22(yu301, yu40001, app(app(ty_Either, bag), bah)) -> new_esEs17(yu301, yu40001, bag, bah) new_esEs23(yu300, yu40000, app(ty_Maybe, bbf)) -> new_esEs8(yu300, yu40000, bbf) new_esEs19(yu302, yu40002, ty_Integer) -> new_esEs10(yu302, yu40002) new_esEs13(Char(yu300), Char(yu40000)) -> new_primEqNat0(yu300, yu40000) new_esEs8(Just(yu300), Just(yu40000), app(app(app(ty_@3, bf), bg), bh)) -> new_esEs11(yu300, yu40000, bf, bg, bh) new_esEs23(yu300, yu40000, app(app(ty_@2, bbg), bbh)) -> new_esEs15(yu300, yu40000, bbg, bbh) new_esEs8(Just(yu300), Just(yu40000), ty_Int) -> new_esEs7(yu300, yu40000) new_esEs21(yu300, yu40000, app(ty_Ratio, fh)) -> new_esEs9(yu300, yu40000, fh) new_sr(Neg(yu3000), Neg(yu400010)) -> Pos(new_primMulNat0(yu3000, yu400010)) new_esEs23(yu300, yu40000, app(ty_[], bcc)) -> new_esEs4(yu300, yu40000, bcc) new_esEs23(yu300, yu40000, ty_Float) -> new_esEs6(yu300, yu40000) new_esEs25(yu301, yu40001, ty_Integer) -> new_esEs10(yu301, yu40001) new_esEs19(yu302, yu40002, ty_Int) -> new_esEs7(yu302, yu40002) new_esEs23(yu300, yu40000, ty_Double) -> new_esEs18(yu300, yu40000) new_esEs19(yu302, yu40002, app(app(app(ty_@3, dd), de), df)) -> new_esEs11(yu302, yu40002, dd, de, df) new_primEqInt(Pos(Zero), Neg(Succ(yu400000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(yu400000))) -> False new_esEs24(yu310, yu40010, ty_Char) -> new_esEs13(yu310, yu40010) new_esEs8(Just(yu300), Just(yu40000), ty_Integer) -> new_esEs10(yu300, yu40000) new_esEs21(yu300, yu40000, ty_Ordering) -> new_esEs12(yu300, yu40000) new_esEs12(LT, EQ) -> False new_esEs12(EQ, LT) -> False new_esEs24(yu310, yu40010, ty_@0) -> new_esEs16(yu310, yu40010) new_esEs17(Left(yu300), Left(yu40000), ty_Ordering, hf) -> new_esEs12(yu300, yu40000) new_esEs21(yu300, yu40000, app(app(ty_@2, ge), gf)) -> new_esEs15(yu300, yu40000, ge, gf) new_esEs17(Right(yu300), Right(yu40000), he, app(ty_Ratio, bdf)) -> new_esEs9(yu300, yu40000, bdf) new_esEs20(yu301, yu40001, ty_Int) -> new_esEs7(yu301, yu40001) new_esEs20(yu301, yu40001, app(app(app(ty_@3, ef), eg), eh)) -> new_esEs11(yu301, yu40001, ef, eg, eh) new_esEs20(yu301, yu40001, app(app(ty_Either, fd), ff)) -> new_esEs17(yu301, yu40001, fd, ff) new_primEqInt(Neg(Succ(yu3000)), Neg(Succ(yu400000))) -> new_primEqNat0(yu3000, yu400000) new_esEs21(yu300, yu40000, app(ty_[], ha)) -> new_esEs4(yu300, yu40000, ha) new_esEs12(LT, GT) -> False new_esEs12(GT, LT) -> False new_primPlusNat0(Succ(yu340), yu4000100) -> Succ(Succ(new_primPlusNat1(yu340, yu4000100))) new_esEs23(yu300, yu40000, app(ty_Ratio, bbb)) -> new_esEs9(yu300, yu40000, bbb) new_esEs17(Left(yu300), Left(yu40000), app(app(app(ty_@3, bce), bcf), bcg), hf) -> new_esEs11(yu300, yu40000, bce, bcf, bcg) new_esEs17(Left(yu300), Left(yu40000), app(app(ty_Either, bdc), bdd), hf) -> new_esEs17(yu300, yu40000, bdc, bdd) new_esEs23(yu300, yu40000, ty_Integer) -> new_esEs10(yu300, yu40000) new_primPlusNat1(Zero, Zero) -> Zero new_primMulNat0(Succ(yu30000), Zero) -> Zero new_primMulNat0(Zero, Succ(yu4000100)) -> Zero new_sr(Pos(yu3000), Pos(yu400010)) -> Pos(new_primMulNat0(yu3000, yu400010)) new_esEs20(yu301, yu40001, ty_Integer) -> new_esEs10(yu301, yu40001) new_primPlusNat0(Zero, yu4000100) -> Succ(yu4000100) new_esEs23(yu300, yu40000, ty_Ordering) -> new_esEs12(yu300, yu40000) new_esEs5(yu30, yu4000, ty_@0) -> new_esEs16(yu30, yu4000) new_esEs19(yu302, yu40002, ty_Float) -> new_esEs6(yu302, yu40002) new_esEs5(yu30, yu4000, app(app(ty_Either, he), hf)) -> new_esEs17(yu30, yu4000, he, hf) new_esEs19(yu302, yu40002, ty_Double) -> new_esEs18(yu302, yu40002) new_esEs6(Float(yu300, yu301), Float(yu40000, yu40001)) -> new_esEs7(new_sr(yu300, yu40001), new_sr(yu301, yu40000)) new_esEs22(yu301, yu40001, ty_Char) -> new_esEs13(yu301, yu40001) new_esEs17(Left(yu300), Left(yu40000), app(ty_Ratio, bcd), hf) -> new_esEs9(yu300, yu40000, bcd) new_esEs5(yu30, yu4000, ty_Ordering) -> new_esEs12(yu30, yu4000) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs17(Right(yu300), Right(yu40000), he, app(app(ty_@2, bec), bed)) -> new_esEs15(yu300, yu40000, bec, bed) new_esEs8(Just(yu300), Just(yu40000), app(ty_[], cf)) -> new_esEs4(yu300, yu40000, cf) new_primMulNat0(Succ(yu30000), Succ(yu4000100)) -> new_primPlusNat0(new_primMulNat0(yu30000, Succ(yu4000100)), yu4000100) new_esEs19(yu302, yu40002, app(app(ty_Either, eb), ec)) -> new_esEs17(yu302, yu40002, eb, ec) new_esEs17(Right(yu300), Right(yu40000), he, app(ty_Maybe, beb)) -> new_esEs8(yu300, yu40000, beb) new_esEs17(Left(yu300), Left(yu40000), ty_@0, hf) -> new_esEs16(yu300, yu40000) new_esEs24(yu310, yu40010, ty_Ordering) -> new_esEs12(yu310, yu40010) new_esEs8(Just(yu300), Just(yu40000), app(app(ty_Either, cd), ce)) -> new_esEs17(yu300, yu40000, cd, ce) new_esEs22(yu301, yu40001, ty_Bool) -> new_esEs14(yu301, yu40001) new_esEs17(Left(yu300), Left(yu40000), ty_Int, hf) -> new_esEs7(yu300, yu40000) new_esEs4(:(yu310, yu311), [], bc) -> False new_esEs4([], :(yu40010, yu40011), bc) -> False new_esEs9(:%(yu300, yu301), :%(yu40000, yu40001), hb) -> new_asAs(new_esEs26(yu300, yu40000, hb), new_esEs25(yu301, yu40001, hb)) new_esEs17(Left(yu300), Left(yu40000), app(ty_Maybe, bch), hf) -> new_esEs8(yu300, yu40000, bch) new_esEs24(yu310, yu40010, app(app(app(ty_@3, cg), da), db)) -> new_esEs11(yu310, yu40010, cg, da, db) new_esEs19(yu302, yu40002, ty_Ordering) -> new_esEs12(yu302, yu40002) new_esEs19(yu302, yu40002, app(ty_Maybe, dg)) -> new_esEs8(yu302, yu40002, dg) new_esEs24(yu310, yu40010, ty_Int) -> new_esEs7(yu310, yu40010) new_primPlusNat1(Succ(yu3400), Zero) -> Succ(yu3400) new_primPlusNat1(Zero, Succ(yu40001000)) -> Succ(yu40001000) new_esEs17(Left(yu300), Left(yu40000), ty_Integer, hf) -> new_esEs10(yu300, yu40000) new_esEs15(@2(yu300, yu301), @2(yu40000, yu40001), hc, hd) -> new_asAs(new_esEs23(yu300, yu40000, hc), new_esEs22(yu301, yu40001, hd)) new_esEs24(yu310, yu40010, app(ty_Ratio, hb)) -> new_esEs9(yu310, yu40010, hb) new_esEs20(yu301, yu40001, app(app(ty_@2, fb), fc)) -> new_esEs15(yu301, yu40001, fb, fc) new_esEs17(Right(yu300), Right(yu40000), he, app(app(ty_Either, bee), bef)) -> new_esEs17(yu300, yu40000, bee, bef) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs8(Just(yu300), Just(yu40000), app(ty_Maybe, ca)) -> new_esEs8(yu300, yu40000, ca) new_esEs20(yu301, yu40001, ty_Char) -> new_esEs13(yu301, yu40001) new_esEs20(yu301, yu40001, ty_@0) -> new_esEs16(yu301, yu40001) new_esEs25(yu301, yu40001, ty_Int) -> new_esEs7(yu301, yu40001) new_esEs24(yu310, yu40010, ty_Integer) -> new_esEs10(yu310, yu40010) new_primEqNat0(Zero, Zero) -> True new_esEs8(Just(yu300), Just(yu40000), ty_Ordering) -> new_esEs12(yu300, yu40000) new_esEs24(yu310, yu40010, app(app(ty_Either, he), hf)) -> new_esEs17(yu310, yu40010, he, hf) new_esEs19(yu302, yu40002, app(app(ty_@2, dh), ea)) -> new_esEs15(yu302, yu40002, dh, ea) new_esEs17(Right(yu300), Right(yu40000), he, ty_@0) -> new_esEs16(yu300, yu40000) new_esEs4([], [], bc) -> True new_esEs18(Double(yu300, yu301), Double(yu40000, yu40001)) -> new_esEs7(new_sr(yu300, yu40001), new_sr(yu301, yu40000)) new_esEs14(True, True) -> True new_asAs(False, yu33) -> False new_esEs17(Right(yu300), Right(yu40000), he, ty_Int) -> new_esEs7(yu300, yu40000) new_esEs19(yu302, yu40002, app(ty_[], ed)) -> new_esEs4(yu302, yu40002, ed) new_esEs21(yu300, yu40000, ty_Char) -> new_esEs13(yu300, yu40000) new_esEs24(yu310, yu40010, app(ty_Maybe, bd)) -> new_esEs8(yu310, yu40010, bd) new_esEs21(yu300, yu40000, ty_Bool) -> new_esEs14(yu300, yu40000) new_esEs8(Just(yu300), Just(yu40000), app(app(ty_@2, cb), cc)) -> new_esEs15(yu300, yu40000, cb, cc) new_esEs19(yu302, yu40002, app(ty_Ratio, dc)) -> new_esEs9(yu302, yu40002, dc) new_esEs17(Right(yu300), Right(yu40000), he, ty_Ordering) -> new_esEs12(yu300, yu40000) new_esEs8(Just(yu300), Just(yu40000), ty_@0) -> new_esEs16(yu300, yu40000) new_esEs21(yu300, yu40000, ty_Double) -> new_esEs18(yu300, yu40000) new_esEs21(yu300, yu40000, ty_Float) -> new_esEs6(yu300, yu40000) new_esEs8(Just(yu300), Just(yu40000), app(ty_Ratio, be)) -> new_esEs9(yu300, yu40000, be) new_esEs20(yu301, yu40001, app(ty_[], fg)) -> new_esEs4(yu301, yu40001, fg) new_esEs17(Right(yu300), Right(yu40000), he, ty_Integer) -> new_esEs10(yu300, yu40000) The set Q consists of the following terms: new_esEs26(x0, x1, ty_Integer) new_esEs4([], :(x0, x1), x2) new_esEs19(x0, x1, ty_Integer) new_esEs22(x0, x1, app(ty_[], x2)) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_esEs19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs24(x0, x1, ty_Float) new_esEs12(EQ, EQ) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_esEs20(x0, x1, app(app(ty_@2, x2), x3)) new_esEs17(Left(x0), Right(x1), x2, x3) new_esEs17(Right(x0), Left(x1), x2, x3) new_esEs20(x0, x1, ty_Float) new_esEs17(Left(x0), Left(x1), ty_Integer, x2) new_esEs20(x0, x1, ty_Ordering) new_esEs5(x0, x1, app(ty_Ratio, x2)) new_esEs23(x0, x1, ty_Integer) new_esEs22(x0, x1, ty_Float) new_primMulNat0(Zero, Zero) new_primPlusNat1(Zero, Zero) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs8(Nothing, Nothing, x0) new_esEs24(x0, x1, ty_Double) new_esEs19(x0, x1, app(ty_Ratio, x2)) new_esEs5(x0, x1, ty_Double) new_esEs24(x0, x1, app(ty_Ratio, x2)) new_esEs8(Just(x0), Just(x1), ty_Float) new_esEs8(Just(x0), Just(x1), ty_Ordering) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs21(x0, x1, ty_Integer) new_esEs24(x0, x1, ty_Int) new_esEs19(x0, x1, ty_Bool) new_esEs17(Left(x0), Left(x1), ty_Bool, x2) new_esEs20(x0, x1, ty_Int) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_esEs5(x0, x1, app(app(ty_Either, x2), x3)) new_esEs17(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs8(Just(x0), Just(x1), ty_Double) new_esEs14(True, True) new_primEqInt(Neg(Zero), Neg(Zero)) new_esEs8(Just(x0), Just(x1), ty_Int) new_esEs15(@2(x0, x1), @2(x2, x3), x4, x5) new_esEs20(x0, x1, ty_Double) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs24(x0, x1, ty_Ordering) new_esEs23(x0, x1, ty_Double) new_esEs21(x0, x1, ty_Ordering) new_esEs6(Float(x0, x1), Float(x2, x3)) new_esEs12(EQ, GT) new_esEs12(GT, EQ) new_esEs8(Just(x0), Nothing, x1) new_asAs(True, x0) new_esEs22(x0, x1, ty_Char) new_esEs23(x0, x1, ty_Bool) new_esEs5(x0, x1, ty_Int) new_primPlusNat0(Succ(x0), x1) new_esEs25(x0, x1, ty_Int) new_esEs14(False, True) new_esEs14(True, False) new_esEs17(Left(x0), Left(x1), ty_Double, x2) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_esEs8(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs19(x0, x1, ty_@0) new_esEs5(x0, x1, ty_Char) new_esEs17(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_asAs(False, x0) new_esEs17(Right(x0), Right(x1), x2, ty_Ordering) new_primPlusNat1(Succ(x0), Zero) new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_esEs5(x0, x1, app(ty_Maybe, x2)) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs13(Char(x0), Char(x1)) new_esEs17(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_esEs17(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs12(LT, GT) new_esEs12(GT, LT) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs19(x0, x1, ty_Float) new_esEs19(x0, x1, app(ty_Maybe, x2)) new_esEs17(Left(x0), Left(x1), ty_Float, x2) new_sr(Pos(x0), Neg(x1)) new_sr(Neg(x0), Pos(x1)) new_esEs5(x0, x1, ty_Float) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs20(x0, x1, ty_Integer) new_esEs12(LT, LT) new_esEs22(x0, x1, ty_Double) new_esEs8(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs22(x0, x1, ty_Int) new_esEs20(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_esEs5(x0, x1, ty_@0) new_esEs17(Left(x0), Left(x1), ty_@0, x2) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs17(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_primMulNat0(Succ(x0), Zero) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs19(x0, x1, app(ty_[], x2)) new_esEs17(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_esEs22(x0, x1, ty_@0) new_esEs19(x0, x1, ty_Int) new_esEs20(x0, x1, ty_Bool) new_esEs17(Left(x0), Left(x1), ty_Int, x2) new_esEs23(x0, x1, ty_Char) new_esEs24(x0, x1, ty_Bool) new_esEs8(Just(x0), Just(x1), ty_@0) new_esEs20(x0, x1, app(ty_[], x2)) new_esEs8(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs17(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_primMulNat0(Succ(x0), Succ(x1)) new_esEs18(Double(x0, x1), Double(x2, x3)) new_esEs4(:(x0, x1), [], x2) new_esEs8(Nothing, Just(x0), x1) new_esEs21(x0, x1, app(ty_[], x2)) new_esEs23(x0, x1, app(ty_[], x2)) new_primEqNat0(Succ(x0), Succ(x1)) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs22(x0, x1, ty_Bool) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs17(Left(x0), Left(x1), ty_Char, x2) new_esEs20(x0, x1, ty_@0) new_esEs24(x0, x1, app(ty_Maybe, x2)) new_esEs12(GT, GT) new_esEs12(LT, EQ) new_esEs12(EQ, LT) new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) new_primEqNat0(Succ(x0), Zero) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_esEs19(x0, x1, ty_Ordering) new_esEs24(x0, x1, ty_Integer) new_esEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs20(x0, x1, app(ty_Maybe, x2)) new_esEs17(Right(x0), Right(x1), x2, ty_Float) new_esEs17(Right(x0), Right(x1), x2, ty_Integer) new_esEs8(Just(x0), Just(x1), ty_Char) new_primEqNat0(Zero, Succ(x0)) new_esEs5(x0, x1, ty_Bool) new_esEs23(x0, x1, ty_Ordering) new_esEs26(x0, x1, ty_Int) new_esEs23(x0, x1, ty_Int) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_esEs19(x0, x1, ty_Double) new_esEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs24(x0, x1, ty_@0) new_esEs19(x0, x1, ty_Char) new_primMulNat0(Zero, Succ(x0)) new_sr(Pos(x0), Pos(x1)) new_primEqNat0(Zero, Zero) new_esEs20(x0, x1, ty_Char) new_primPlusNat1(Succ(x0), Succ(x1)) new_esEs17(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs23(x0, x1, ty_Float) new_esEs23(x0, x1, ty_@0) new_esEs8(Just(x0), Just(x1), app(ty_[], x2)) new_esEs25(x0, x1, ty_Integer) new_esEs5(x0, x1, ty_Integer) new_esEs24(x0, x1, ty_Char) new_esEs9(:%(x0, x1), :%(x2, x3), x4) new_esEs17(Right(x0), Right(x1), x2, ty_Int) new_esEs17(Right(x0), Right(x1), x2, ty_Bool) new_sr(Neg(x0), Neg(x1)) new_esEs5(x0, x1, app(app(ty_@2, x2), x3)) new_esEs21(x0, x1, ty_@0) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_esEs21(x0, x1, ty_Float) new_esEs14(False, False) new_esEs8(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_esEs19(x0, x1, app(app(ty_Either, x2), x3)) new_esEs24(x0, x1, app(ty_[], x2)) new_esEs22(x0, x1, ty_Integer) new_esEs17(Right(x0), Right(x1), x2, ty_@0) new_esEs21(x0, x1, ty_Bool) new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs8(Just(x0), Just(x1), ty_Integer) new_esEs5(x0, x1, app(ty_[], x2)) new_esEs17(Left(x0), Left(x1), ty_Ordering, x2) new_esEs7(x0, x1) new_esEs8(Just(x0), Just(x1), ty_Bool) new_esEs17(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_esEs21(x0, x1, ty_Int) new_esEs17(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs22(x0, x1, ty_Ordering) new_esEs20(x0, x1, app(ty_Ratio, x2)) new_esEs17(Left(x0), Left(x1), app(ty_[], x2), x3) new_primPlusNat0(Zero, x0) new_esEs21(x0, x1, ty_Char) new_primPlusNat1(Zero, Succ(x0)) new_esEs21(x0, x1, ty_Double) new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) new_esEs16(@0, @0) new_esEs8(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs10(Integer(x0), Integer(x1)) new_esEs4(:(x0, x1), :(x2, x3), x4) new_esEs5(x0, x1, ty_Ordering) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs17(Right(x0), Right(x1), x2, ty_Char) new_esEs4([], [], x0) new_esEs17(Right(x0), Right(x1), x2, ty_Double) new_esEs17(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (8) DependencyGraphProof (EQUIVALENT) The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 2 SCCs. ---------------------------------------- (9) Complex Obligation (AND) ---------------------------------------- (10) Obligation: Q DP problem: The TRS P consists of the following rules: new_lookup([], :(@2(:(yu4000, yu4001), yu401), yu41), bb, bc) -> new_lookup([], yu41, bb, bc) The TRS R consists of the following rules: new_esEs22(yu301, yu40001, ty_Float) -> new_esEs6(yu301, yu40001) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_esEs26(yu300, yu40000, ty_Integer) -> new_esEs10(yu300, yu40000) new_esEs24(yu310, yu40010, app(app(ty_@2, hc), hd)) -> new_esEs15(yu310, yu40010, hc, hd) new_esEs8(Just(yu300), Just(yu40000), ty_Bool) -> new_esEs14(yu300, yu40000) new_esEs4(:(yu310, yu311), :(yu40010, yu40011), bc) -> new_asAs(new_esEs24(yu310, yu40010, bc), new_esEs4(yu311, yu40011, bc)) new_esEs8(Nothing, Nothing, bd) -> True new_esEs22(yu301, yu40001, ty_Double) -> new_esEs18(yu301, yu40001) new_esEs23(yu300, yu40000, ty_Char) -> new_esEs13(yu300, yu40000) new_esEs19(yu302, yu40002, ty_@0) -> new_esEs16(yu302, yu40002) new_esEs17(Left(yu300), Left(yu40000), ty_Char, hf) -> new_esEs13(yu300, yu40000) new_esEs20(yu301, yu40001, ty_Ordering) -> new_esEs12(yu301, yu40001) new_esEs21(yu300, yu40000, app(app(ty_Either, gg), gh)) -> new_esEs17(yu300, yu40000, gg, gh) new_esEs5(yu30, yu4000, ty_Integer) -> new_esEs10(yu30, yu4000) new_esEs8(Nothing, Just(yu40000), bd) -> False new_esEs8(Just(yu300), Nothing, bd) -> False new_esEs17(Right(yu300), Right(yu40000), he, ty_Char) -> new_esEs13(yu300, yu40000) new_esEs22(yu301, yu40001, app(ty_Maybe, bad)) -> new_esEs8(yu301, yu40001, bad) new_esEs20(yu301, yu40001, app(ty_Ratio, ee)) -> new_esEs9(yu301, yu40001, ee) new_esEs22(yu301, yu40001, app(ty_[], bba)) -> new_esEs4(yu301, yu40001, bba) new_esEs5(yu30, yu4000, app(ty_[], hg)) -> new_esEs4(yu30, yu4000, hg) new_esEs20(yu301, yu40001, ty_Bool) -> new_esEs14(yu301, yu40001) new_esEs12(GT, GT) -> True new_asAs(True, yu33) -> yu33 new_esEs5(yu30, yu4000, app(ty_Maybe, bd)) -> new_esEs8(yu30, yu4000, bd) new_esEs10(Integer(yu300), Integer(yu40000)) -> new_primEqInt(yu300, yu40000) new_esEs21(yu300, yu40000, app(app(app(ty_@3, ga), gb), gc)) -> new_esEs11(yu300, yu40000, ga, gb, gc) new_esEs21(yu300, yu40000, ty_Int) -> new_esEs7(yu300, yu40000) new_esEs20(yu301, yu40001, ty_Double) -> new_esEs18(yu301, yu40001) new_primEqInt(Pos(Succ(yu3000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(yu400000))) -> False new_esEs19(yu302, yu40002, ty_Char) -> new_esEs13(yu302, yu40002) new_esEs23(yu300, yu40000, ty_@0) -> new_esEs16(yu300, yu40000) new_esEs20(yu301, yu40001, ty_Float) -> new_esEs6(yu301, yu40001) new_esEs16(@0, @0) -> True new_esEs23(yu300, yu40000, app(app(ty_Either, bca), bcb)) -> new_esEs17(yu300, yu40000, bca, bcb) new_esEs8(Just(yu300), Just(yu40000), ty_Char) -> new_esEs13(yu300, yu40000) new_esEs5(yu30, yu4000, app(app(ty_@2, hc), hd)) -> new_esEs15(yu30, yu4000, hc, hd) new_primEqNat0(Succ(yu3000), Succ(yu400000)) -> new_primEqNat0(yu3000, yu400000) new_esEs20(yu301, yu40001, app(ty_Maybe, fa)) -> new_esEs8(yu301, yu40001, fa) new_esEs5(yu30, yu4000, app(app(app(ty_@3, cg), da), db)) -> new_esEs11(yu30, yu4000, cg, da, db) new_esEs19(yu302, yu40002, ty_Bool) -> new_esEs14(yu302, yu40002) new_esEs5(yu30, yu4000, ty_Int) -> new_esEs7(yu30, yu4000) new_esEs26(yu300, yu40000, ty_Int) -> new_esEs7(yu300, yu40000) new_esEs12(EQ, EQ) -> True new_esEs17(Left(yu300), Left(yu40000), app(app(ty_@2, bda), bdb), hf) -> new_esEs15(yu300, yu40000, bda, bdb) new_esEs24(yu310, yu40010, app(ty_[], hg)) -> new_esEs4(yu310, yu40010, hg) new_esEs23(yu300, yu40000, ty_Int) -> new_esEs7(yu300, yu40000) new_primMulNat0(Zero, Zero) -> Zero new_esEs23(yu300, yu40000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_esEs11(yu300, yu40000, bbc, bbd, bbe) new_esEs5(yu30, yu4000, app(ty_Ratio, hb)) -> new_esEs9(yu30, yu4000, hb) new_esEs22(yu301, yu40001, ty_Integer) -> new_esEs10(yu301, yu40001) new_esEs21(yu300, yu40000, ty_Integer) -> new_esEs10(yu300, yu40000) new_esEs8(Just(yu300), Just(yu40000), ty_Double) -> new_esEs18(yu300, yu40000) new_esEs8(Just(yu300), Just(yu40000), ty_Float) -> new_esEs6(yu300, yu40000) new_esEs17(Right(yu300), Right(yu40000), he, app(ty_[], beg)) -> new_esEs4(yu300, yu40000, beg) new_esEs21(yu300, yu40000, ty_@0) -> new_esEs16(yu300, yu40000) new_esEs12(LT, LT) -> True new_esEs17(Left(yu300), Left(yu40000), app(ty_[], bde), hf) -> new_esEs4(yu300, yu40000, bde) new_primEqNat0(Succ(yu3000), Zero) -> False new_primEqNat0(Zero, Succ(yu400000)) -> False new_esEs17(Right(yu300), Right(yu40000), he, ty_Bool) -> new_esEs14(yu300, yu40000) new_esEs23(yu300, yu40000, ty_Bool) -> new_esEs14(yu300, yu40000) new_esEs14(False, True) -> False new_esEs14(True, False) -> False new_esEs24(yu310, yu40010, ty_Double) -> new_esEs18(yu310, yu40010) new_esEs17(Right(yu300), Right(yu40000), he, ty_Double) -> new_esEs18(yu300, yu40000) new_esEs24(yu310, yu40010, ty_Float) -> new_esEs6(yu310, yu40010) new_esEs17(Right(yu300), Right(yu40000), he, ty_Float) -> new_esEs6(yu300, yu40000) new_esEs21(yu300, yu40000, app(ty_Maybe, gd)) -> new_esEs8(yu300, yu40000, gd) new_esEs5(yu30, yu4000, ty_Double) -> new_esEs18(yu30, yu4000) new_primEqInt(Neg(Succ(yu3000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(yu400000))) -> False new_esEs22(yu301, yu40001, ty_Ordering) -> new_esEs12(yu301, yu40001) new_esEs5(yu30, yu4000, ty_Float) -> new_esEs6(yu30, yu4000) new_primEqInt(Pos(Succ(yu3000)), Pos(Succ(yu400000))) -> new_primEqNat0(yu3000, yu400000) new_esEs17(Left(yu300), Right(yu40000), he, hf) -> False new_esEs17(Right(yu300), Left(yu40000), he, hf) -> False new_esEs24(yu310, yu40010, ty_Bool) -> new_esEs14(yu310, yu40010) new_esEs5(yu30, yu4000, ty_Bool) -> new_esEs14(yu30, yu4000) new_esEs7(yu30, yu4000) -> new_primEqInt(yu30, yu4000) new_sr(Pos(yu3000), Neg(yu400010)) -> Neg(new_primMulNat0(yu3000, yu400010)) new_sr(Neg(yu3000), Pos(yu400010)) -> Neg(new_primMulNat0(yu3000, yu400010)) new_esEs11(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cg, da, db) -> new_asAs(new_esEs21(yu300, yu40000, cg), new_asAs(new_esEs20(yu301, yu40001, da), new_esEs19(yu302, yu40002, db))) new_primPlusNat1(Succ(yu3400), Succ(yu40001000)) -> Succ(Succ(new_primPlusNat1(yu3400, yu40001000))) new_esEs22(yu301, yu40001, app(app(ty_@2, bae), baf)) -> new_esEs15(yu301, yu40001, bae, baf) new_esEs22(yu301, yu40001, app(app(app(ty_@3, baa), bab), bac)) -> new_esEs11(yu301, yu40001, baa, bab, bac) new_esEs14(False, False) -> True new_primEqInt(Pos(Succ(yu3000)), Neg(yu40000)) -> False new_primEqInt(Neg(Succ(yu3000)), Pos(yu40000)) -> False new_esEs22(yu301, yu40001, ty_Int) -> new_esEs7(yu301, yu40001) new_esEs17(Left(yu300), Left(yu40000), ty_Double, hf) -> new_esEs18(yu300, yu40000) new_esEs17(Left(yu300), Left(yu40000), ty_Float, hf) -> new_esEs6(yu300, yu40000) new_esEs17(Right(yu300), Right(yu40000), he, app(app(app(ty_@3, bdg), bdh), bea)) -> new_esEs11(yu300, yu40000, bdg, bdh, bea) new_esEs22(yu301, yu40001, app(ty_Ratio, hh)) -> new_esEs9(yu301, yu40001, hh) new_esEs22(yu301, yu40001, ty_@0) -> new_esEs16(yu301, yu40001) new_esEs5(yu30, yu4000, ty_Char) -> new_esEs13(yu30, yu4000) new_esEs12(EQ, GT) -> False new_esEs12(GT, EQ) -> False new_esEs17(Left(yu300), Left(yu40000), ty_Bool, hf) -> new_esEs14(yu300, yu40000) new_esEs22(yu301, yu40001, app(app(ty_Either, bag), bah)) -> new_esEs17(yu301, yu40001, bag, bah) new_esEs23(yu300, yu40000, app(ty_Maybe, bbf)) -> new_esEs8(yu300, yu40000, bbf) new_esEs19(yu302, yu40002, ty_Integer) -> new_esEs10(yu302, yu40002) new_esEs13(Char(yu300), Char(yu40000)) -> new_primEqNat0(yu300, yu40000) new_esEs8(Just(yu300), Just(yu40000), app(app(app(ty_@3, bf), bg), bh)) -> new_esEs11(yu300, yu40000, bf, bg, bh) new_esEs23(yu300, yu40000, app(app(ty_@2, bbg), bbh)) -> new_esEs15(yu300, yu40000, bbg, bbh) new_esEs8(Just(yu300), Just(yu40000), ty_Int) -> new_esEs7(yu300, yu40000) new_esEs21(yu300, yu40000, app(ty_Ratio, fh)) -> new_esEs9(yu300, yu40000, fh) new_sr(Neg(yu3000), Neg(yu400010)) -> Pos(new_primMulNat0(yu3000, yu400010)) new_esEs23(yu300, yu40000, app(ty_[], bcc)) -> new_esEs4(yu300, yu40000, bcc) new_esEs23(yu300, yu40000, ty_Float) -> new_esEs6(yu300, yu40000) new_esEs25(yu301, yu40001, ty_Integer) -> new_esEs10(yu301, yu40001) new_esEs19(yu302, yu40002, ty_Int) -> new_esEs7(yu302, yu40002) new_esEs23(yu300, yu40000, ty_Double) -> new_esEs18(yu300, yu40000) new_esEs19(yu302, yu40002, app(app(app(ty_@3, dd), de), df)) -> new_esEs11(yu302, yu40002, dd, de, df) new_primEqInt(Pos(Zero), Neg(Succ(yu400000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(yu400000))) -> False new_esEs24(yu310, yu40010, ty_Char) -> new_esEs13(yu310, yu40010) new_esEs8(Just(yu300), Just(yu40000), ty_Integer) -> new_esEs10(yu300, yu40000) new_esEs21(yu300, yu40000, ty_Ordering) -> new_esEs12(yu300, yu40000) new_esEs12(LT, EQ) -> False new_esEs12(EQ, LT) -> False new_esEs24(yu310, yu40010, ty_@0) -> new_esEs16(yu310, yu40010) new_esEs17(Left(yu300), Left(yu40000), ty_Ordering, hf) -> new_esEs12(yu300, yu40000) new_esEs21(yu300, yu40000, app(app(ty_@2, ge), gf)) -> new_esEs15(yu300, yu40000, ge, gf) new_esEs17(Right(yu300), Right(yu40000), he, app(ty_Ratio, bdf)) -> new_esEs9(yu300, yu40000, bdf) new_esEs20(yu301, yu40001, ty_Int) -> new_esEs7(yu301, yu40001) new_esEs20(yu301, yu40001, app(app(app(ty_@3, ef), eg), eh)) -> new_esEs11(yu301, yu40001, ef, eg, eh) new_esEs20(yu301, yu40001, app(app(ty_Either, fd), ff)) -> new_esEs17(yu301, yu40001, fd, ff) new_primEqInt(Neg(Succ(yu3000)), Neg(Succ(yu400000))) -> new_primEqNat0(yu3000, yu400000) new_esEs21(yu300, yu40000, app(ty_[], ha)) -> new_esEs4(yu300, yu40000, ha) new_esEs12(LT, GT) -> False new_esEs12(GT, LT) -> False new_primPlusNat0(Succ(yu340), yu4000100) -> Succ(Succ(new_primPlusNat1(yu340, yu4000100))) new_esEs23(yu300, yu40000, app(ty_Ratio, bbb)) -> new_esEs9(yu300, yu40000, bbb) new_esEs17(Left(yu300), Left(yu40000), app(app(app(ty_@3, bce), bcf), bcg), hf) -> new_esEs11(yu300, yu40000, bce, bcf, bcg) new_esEs17(Left(yu300), Left(yu40000), app(app(ty_Either, bdc), bdd), hf) -> new_esEs17(yu300, yu40000, bdc, bdd) new_esEs23(yu300, yu40000, ty_Integer) -> new_esEs10(yu300, yu40000) new_primPlusNat1(Zero, Zero) -> Zero new_primMulNat0(Succ(yu30000), Zero) -> Zero new_primMulNat0(Zero, Succ(yu4000100)) -> Zero new_sr(Pos(yu3000), Pos(yu400010)) -> Pos(new_primMulNat0(yu3000, yu400010)) new_esEs20(yu301, yu40001, ty_Integer) -> new_esEs10(yu301, yu40001) new_primPlusNat0(Zero, yu4000100) -> Succ(yu4000100) new_esEs23(yu300, yu40000, ty_Ordering) -> new_esEs12(yu300, yu40000) new_esEs5(yu30, yu4000, ty_@0) -> new_esEs16(yu30, yu4000) new_esEs19(yu302, yu40002, ty_Float) -> new_esEs6(yu302, yu40002) new_esEs5(yu30, yu4000, app(app(ty_Either, he), hf)) -> new_esEs17(yu30, yu4000, he, hf) new_esEs19(yu302, yu40002, ty_Double) -> new_esEs18(yu302, yu40002) new_esEs6(Float(yu300, yu301), Float(yu40000, yu40001)) -> new_esEs7(new_sr(yu300, yu40001), new_sr(yu301, yu40000)) new_esEs22(yu301, yu40001, ty_Char) -> new_esEs13(yu301, yu40001) new_esEs17(Left(yu300), Left(yu40000), app(ty_Ratio, bcd), hf) -> new_esEs9(yu300, yu40000, bcd) new_esEs5(yu30, yu4000, ty_Ordering) -> new_esEs12(yu30, yu4000) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs17(Right(yu300), Right(yu40000), he, app(app(ty_@2, bec), bed)) -> new_esEs15(yu300, yu40000, bec, bed) new_esEs8(Just(yu300), Just(yu40000), app(ty_[], cf)) -> new_esEs4(yu300, yu40000, cf) new_primMulNat0(Succ(yu30000), Succ(yu4000100)) -> new_primPlusNat0(new_primMulNat0(yu30000, Succ(yu4000100)), yu4000100) new_esEs19(yu302, yu40002, app(app(ty_Either, eb), ec)) -> new_esEs17(yu302, yu40002, eb, ec) new_esEs17(Right(yu300), Right(yu40000), he, app(ty_Maybe, beb)) -> new_esEs8(yu300, yu40000, beb) new_esEs17(Left(yu300), Left(yu40000), ty_@0, hf) -> new_esEs16(yu300, yu40000) new_esEs24(yu310, yu40010, ty_Ordering) -> new_esEs12(yu310, yu40010) new_esEs8(Just(yu300), Just(yu40000), app(app(ty_Either, cd), ce)) -> new_esEs17(yu300, yu40000, cd, ce) new_esEs22(yu301, yu40001, ty_Bool) -> new_esEs14(yu301, yu40001) new_esEs17(Left(yu300), Left(yu40000), ty_Int, hf) -> new_esEs7(yu300, yu40000) new_esEs4(:(yu310, yu311), [], bc) -> False new_esEs4([], :(yu40010, yu40011), bc) -> False new_esEs9(:%(yu300, yu301), :%(yu40000, yu40001), hb) -> new_asAs(new_esEs26(yu300, yu40000, hb), new_esEs25(yu301, yu40001, hb)) new_esEs17(Left(yu300), Left(yu40000), app(ty_Maybe, bch), hf) -> new_esEs8(yu300, yu40000, bch) new_esEs24(yu310, yu40010, app(app(app(ty_@3, cg), da), db)) -> new_esEs11(yu310, yu40010, cg, da, db) new_esEs19(yu302, yu40002, ty_Ordering) -> new_esEs12(yu302, yu40002) new_esEs19(yu302, yu40002, app(ty_Maybe, dg)) -> new_esEs8(yu302, yu40002, dg) new_esEs24(yu310, yu40010, ty_Int) -> new_esEs7(yu310, yu40010) new_primPlusNat1(Succ(yu3400), Zero) -> Succ(yu3400) new_primPlusNat1(Zero, Succ(yu40001000)) -> Succ(yu40001000) new_esEs17(Left(yu300), Left(yu40000), ty_Integer, hf) -> new_esEs10(yu300, yu40000) new_esEs15(@2(yu300, yu301), @2(yu40000, yu40001), hc, hd) -> new_asAs(new_esEs23(yu300, yu40000, hc), new_esEs22(yu301, yu40001, hd)) new_esEs24(yu310, yu40010, app(ty_Ratio, hb)) -> new_esEs9(yu310, yu40010, hb) new_esEs20(yu301, yu40001, app(app(ty_@2, fb), fc)) -> new_esEs15(yu301, yu40001, fb, fc) new_esEs17(Right(yu300), Right(yu40000), he, app(app(ty_Either, bee), bef)) -> new_esEs17(yu300, yu40000, bee, bef) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs8(Just(yu300), Just(yu40000), app(ty_Maybe, ca)) -> new_esEs8(yu300, yu40000, ca) new_esEs20(yu301, yu40001, ty_Char) -> new_esEs13(yu301, yu40001) new_esEs20(yu301, yu40001, ty_@0) -> new_esEs16(yu301, yu40001) new_esEs25(yu301, yu40001, ty_Int) -> new_esEs7(yu301, yu40001) new_esEs24(yu310, yu40010, ty_Integer) -> new_esEs10(yu310, yu40010) new_primEqNat0(Zero, Zero) -> True new_esEs8(Just(yu300), Just(yu40000), ty_Ordering) -> new_esEs12(yu300, yu40000) new_esEs24(yu310, yu40010, app(app(ty_Either, he), hf)) -> new_esEs17(yu310, yu40010, he, hf) new_esEs19(yu302, yu40002, app(app(ty_@2, dh), ea)) -> new_esEs15(yu302, yu40002, dh, ea) new_esEs17(Right(yu300), Right(yu40000), he, ty_@0) -> new_esEs16(yu300, yu40000) new_esEs4([], [], bc) -> True new_esEs18(Double(yu300, yu301), Double(yu40000, yu40001)) -> new_esEs7(new_sr(yu300, yu40001), new_sr(yu301, yu40000)) new_esEs14(True, True) -> True new_asAs(False, yu33) -> False new_esEs17(Right(yu300), Right(yu40000), he, ty_Int) -> new_esEs7(yu300, yu40000) new_esEs19(yu302, yu40002, app(ty_[], ed)) -> new_esEs4(yu302, yu40002, ed) new_esEs21(yu300, yu40000, ty_Char) -> new_esEs13(yu300, yu40000) new_esEs24(yu310, yu40010, app(ty_Maybe, bd)) -> new_esEs8(yu310, yu40010, bd) new_esEs21(yu300, yu40000, ty_Bool) -> new_esEs14(yu300, yu40000) new_esEs8(Just(yu300), Just(yu40000), app(app(ty_@2, cb), cc)) -> new_esEs15(yu300, yu40000, cb, cc) new_esEs19(yu302, yu40002, app(ty_Ratio, dc)) -> new_esEs9(yu302, yu40002, dc) new_esEs17(Right(yu300), Right(yu40000), he, ty_Ordering) -> new_esEs12(yu300, yu40000) new_esEs8(Just(yu300), Just(yu40000), ty_@0) -> new_esEs16(yu300, yu40000) new_esEs21(yu300, yu40000, ty_Double) -> new_esEs18(yu300, yu40000) new_esEs21(yu300, yu40000, ty_Float) -> new_esEs6(yu300, yu40000) new_esEs8(Just(yu300), Just(yu40000), app(ty_Ratio, be)) -> new_esEs9(yu300, yu40000, be) new_esEs20(yu301, yu40001, app(ty_[], fg)) -> new_esEs4(yu301, yu40001, fg) new_esEs17(Right(yu300), Right(yu40000), he, ty_Integer) -> new_esEs10(yu300, yu40000) The set Q consists of the following terms: new_esEs26(x0, x1, ty_Integer) new_esEs4([], :(x0, x1), x2) new_esEs19(x0, x1, ty_Integer) new_esEs22(x0, x1, app(ty_[], x2)) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_esEs19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs24(x0, x1, ty_Float) new_esEs12(EQ, EQ) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_esEs20(x0, x1, app(app(ty_@2, x2), x3)) new_esEs17(Left(x0), Right(x1), x2, x3) new_esEs17(Right(x0), Left(x1), x2, x3) new_esEs20(x0, x1, ty_Float) new_esEs17(Left(x0), Left(x1), ty_Integer, x2) new_esEs20(x0, x1, ty_Ordering) new_esEs5(x0, x1, app(ty_Ratio, x2)) new_esEs23(x0, x1, ty_Integer) new_esEs22(x0, x1, ty_Float) new_primMulNat0(Zero, Zero) new_primPlusNat1(Zero, Zero) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs8(Nothing, Nothing, x0) new_esEs24(x0, x1, ty_Double) new_esEs19(x0, x1, app(ty_Ratio, x2)) new_esEs5(x0, x1, ty_Double) new_esEs24(x0, x1, app(ty_Ratio, x2)) new_esEs8(Just(x0), Just(x1), ty_Float) new_esEs8(Just(x0), Just(x1), ty_Ordering) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs21(x0, x1, ty_Integer) new_esEs24(x0, x1, ty_Int) new_esEs19(x0, x1, ty_Bool) new_esEs17(Left(x0), Left(x1), ty_Bool, x2) new_esEs20(x0, x1, ty_Int) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_esEs5(x0, x1, app(app(ty_Either, x2), x3)) new_esEs17(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs8(Just(x0), Just(x1), ty_Double) new_esEs14(True, True) new_primEqInt(Neg(Zero), Neg(Zero)) new_esEs8(Just(x0), Just(x1), ty_Int) new_esEs15(@2(x0, x1), @2(x2, x3), x4, x5) new_esEs20(x0, x1, ty_Double) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs24(x0, x1, ty_Ordering) new_esEs23(x0, x1, ty_Double) new_esEs21(x0, x1, ty_Ordering) new_esEs6(Float(x0, x1), Float(x2, x3)) new_esEs12(EQ, GT) new_esEs12(GT, EQ) new_esEs8(Just(x0), Nothing, x1) new_asAs(True, x0) new_esEs22(x0, x1, ty_Char) new_esEs23(x0, x1, ty_Bool) new_esEs5(x0, x1, ty_Int) new_primPlusNat0(Succ(x0), x1) new_esEs25(x0, x1, ty_Int) new_esEs14(False, True) new_esEs14(True, False) new_esEs17(Left(x0), Left(x1), ty_Double, x2) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_esEs8(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs19(x0, x1, ty_@0) new_esEs5(x0, x1, ty_Char) new_esEs17(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_asAs(False, x0) new_esEs17(Right(x0), Right(x1), x2, ty_Ordering) new_primPlusNat1(Succ(x0), Zero) new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_esEs5(x0, x1, app(ty_Maybe, x2)) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs13(Char(x0), Char(x1)) new_esEs17(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_esEs17(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs12(LT, GT) new_esEs12(GT, LT) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs19(x0, x1, ty_Float) new_esEs19(x0, x1, app(ty_Maybe, x2)) new_esEs17(Left(x0), Left(x1), ty_Float, x2) new_sr(Pos(x0), Neg(x1)) new_sr(Neg(x0), Pos(x1)) new_esEs5(x0, x1, ty_Float) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs20(x0, x1, ty_Integer) new_esEs12(LT, LT) new_esEs22(x0, x1, ty_Double) new_esEs8(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs22(x0, x1, ty_Int) new_esEs20(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_esEs5(x0, x1, ty_@0) new_esEs17(Left(x0), Left(x1), ty_@0, x2) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs17(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_primMulNat0(Succ(x0), Zero) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs19(x0, x1, app(ty_[], x2)) new_esEs17(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_esEs22(x0, x1, ty_@0) new_esEs19(x0, x1, ty_Int) new_esEs20(x0, x1, ty_Bool) new_esEs17(Left(x0), Left(x1), ty_Int, x2) new_esEs23(x0, x1, ty_Char) new_esEs24(x0, x1, ty_Bool) new_esEs8(Just(x0), Just(x1), ty_@0) new_esEs20(x0, x1, app(ty_[], x2)) new_esEs8(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs17(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_primMulNat0(Succ(x0), Succ(x1)) new_esEs18(Double(x0, x1), Double(x2, x3)) new_esEs4(:(x0, x1), [], x2) new_esEs8(Nothing, Just(x0), x1) new_esEs21(x0, x1, app(ty_[], x2)) new_esEs23(x0, x1, app(ty_[], x2)) new_primEqNat0(Succ(x0), Succ(x1)) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs22(x0, x1, ty_Bool) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs17(Left(x0), Left(x1), ty_Char, x2) new_esEs20(x0, x1, ty_@0) new_esEs24(x0, x1, app(ty_Maybe, x2)) new_esEs12(GT, GT) new_esEs12(LT, EQ) new_esEs12(EQ, LT) new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) new_primEqNat0(Succ(x0), Zero) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_esEs19(x0, x1, ty_Ordering) new_esEs24(x0, x1, ty_Integer) new_esEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs20(x0, x1, app(ty_Maybe, x2)) new_esEs17(Right(x0), Right(x1), x2, ty_Float) new_esEs17(Right(x0), Right(x1), x2, ty_Integer) new_esEs8(Just(x0), Just(x1), ty_Char) new_primEqNat0(Zero, Succ(x0)) new_esEs5(x0, x1, ty_Bool) new_esEs23(x0, x1, ty_Ordering) new_esEs26(x0, x1, ty_Int) new_esEs23(x0, x1, ty_Int) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_esEs19(x0, x1, ty_Double) new_esEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs24(x0, x1, ty_@0) new_esEs19(x0, x1, ty_Char) new_primMulNat0(Zero, Succ(x0)) new_sr(Pos(x0), Pos(x1)) new_primEqNat0(Zero, Zero) new_esEs20(x0, x1, ty_Char) new_primPlusNat1(Succ(x0), Succ(x1)) new_esEs17(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs23(x0, x1, ty_Float) new_esEs23(x0, x1, ty_@0) new_esEs8(Just(x0), Just(x1), app(ty_[], x2)) new_esEs25(x0, x1, ty_Integer) new_esEs5(x0, x1, ty_Integer) new_esEs24(x0, x1, ty_Char) new_esEs9(:%(x0, x1), :%(x2, x3), x4) new_esEs17(Right(x0), Right(x1), x2, ty_Int) new_esEs17(Right(x0), Right(x1), x2, ty_Bool) new_sr(Neg(x0), Neg(x1)) new_esEs5(x0, x1, app(app(ty_@2, x2), x3)) new_esEs21(x0, x1, ty_@0) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_esEs21(x0, x1, ty_Float) new_esEs14(False, False) new_esEs8(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_esEs19(x0, x1, app(app(ty_Either, x2), x3)) new_esEs24(x0, x1, app(ty_[], x2)) new_esEs22(x0, x1, ty_Integer) new_esEs17(Right(x0), Right(x1), x2, ty_@0) new_esEs21(x0, x1, ty_Bool) new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs8(Just(x0), Just(x1), ty_Integer) new_esEs5(x0, x1, app(ty_[], x2)) new_esEs17(Left(x0), Left(x1), ty_Ordering, x2) new_esEs7(x0, x1) new_esEs8(Just(x0), Just(x1), ty_Bool) new_esEs17(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_esEs21(x0, x1, ty_Int) new_esEs17(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs22(x0, x1, ty_Ordering) new_esEs20(x0, x1, app(ty_Ratio, x2)) new_esEs17(Left(x0), Left(x1), app(ty_[], x2), x3) new_primPlusNat0(Zero, x0) new_esEs21(x0, x1, ty_Char) new_primPlusNat1(Zero, Succ(x0)) new_esEs21(x0, x1, ty_Double) new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) new_esEs16(@0, @0) new_esEs8(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs10(Integer(x0), Integer(x1)) new_esEs4(:(x0, x1), :(x2, x3), x4) new_esEs5(x0, x1, ty_Ordering) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs17(Right(x0), Right(x1), x2, ty_Char) new_esEs4([], [], x0) new_esEs17(Right(x0), Right(x1), x2, ty_Double) new_esEs17(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) 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_lookup([], :(@2(:(yu4000, yu4001), yu401), yu41), bb, bc) -> new_lookup([], yu41, bb, bc) The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3, 4 >= 4 ---------------------------------------- (12) YES ---------------------------------------- (13) Obligation: Q DP problem: The TRS P consists of the following rules: new_lookup(:(yu30, yu31), :(@2(:(yu4000, yu4001), yu401), yu41), bb, bc) -> new_lookup1(yu30, yu31, yu4000, yu4001, yu401, yu41, new_asAs(new_esEs5(yu30, yu4000, bc), new_esEs4(yu31, yu4001, bc)), bb, bc) new_lookup1(yu13, yu14, yu15, yu16, yu17, yu18, False, h, ba) -> new_lookup(:(yu13, yu14), yu18, h, ba) new_lookup(:(yu30, yu31), :(@2([], yu401), yu41), bb, bc) -> new_lookup(:(yu30, yu31), yu41, bb, bc) The TRS R consists of the following rules: new_esEs22(yu301, yu40001, ty_Float) -> new_esEs6(yu301, yu40001) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_esEs26(yu300, yu40000, ty_Integer) -> new_esEs10(yu300, yu40000) new_esEs24(yu310, yu40010, app(app(ty_@2, hc), hd)) -> new_esEs15(yu310, yu40010, hc, hd) new_esEs8(Just(yu300), Just(yu40000), ty_Bool) -> new_esEs14(yu300, yu40000) new_esEs4(:(yu310, yu311), :(yu40010, yu40011), bc) -> new_asAs(new_esEs24(yu310, yu40010, bc), new_esEs4(yu311, yu40011, bc)) new_esEs8(Nothing, Nothing, bd) -> True new_esEs22(yu301, yu40001, ty_Double) -> new_esEs18(yu301, yu40001) new_esEs23(yu300, yu40000, ty_Char) -> new_esEs13(yu300, yu40000) new_esEs19(yu302, yu40002, ty_@0) -> new_esEs16(yu302, yu40002) new_esEs17(Left(yu300), Left(yu40000), ty_Char, hf) -> new_esEs13(yu300, yu40000) new_esEs20(yu301, yu40001, ty_Ordering) -> new_esEs12(yu301, yu40001) new_esEs21(yu300, yu40000, app(app(ty_Either, gg), gh)) -> new_esEs17(yu300, yu40000, gg, gh) new_esEs5(yu30, yu4000, ty_Integer) -> new_esEs10(yu30, yu4000) new_esEs8(Nothing, Just(yu40000), bd) -> False new_esEs8(Just(yu300), Nothing, bd) -> False new_esEs17(Right(yu300), Right(yu40000), he, ty_Char) -> new_esEs13(yu300, yu40000) new_esEs22(yu301, yu40001, app(ty_Maybe, bad)) -> new_esEs8(yu301, yu40001, bad) new_esEs20(yu301, yu40001, app(ty_Ratio, ee)) -> new_esEs9(yu301, yu40001, ee) new_esEs22(yu301, yu40001, app(ty_[], bba)) -> new_esEs4(yu301, yu40001, bba) new_esEs5(yu30, yu4000, app(ty_[], hg)) -> new_esEs4(yu30, yu4000, hg) new_esEs20(yu301, yu40001, ty_Bool) -> new_esEs14(yu301, yu40001) new_esEs12(GT, GT) -> True new_asAs(True, yu33) -> yu33 new_esEs5(yu30, yu4000, app(ty_Maybe, bd)) -> new_esEs8(yu30, yu4000, bd) new_esEs10(Integer(yu300), Integer(yu40000)) -> new_primEqInt(yu300, yu40000) new_esEs21(yu300, yu40000, app(app(app(ty_@3, ga), gb), gc)) -> new_esEs11(yu300, yu40000, ga, gb, gc) new_esEs21(yu300, yu40000, ty_Int) -> new_esEs7(yu300, yu40000) new_esEs20(yu301, yu40001, ty_Double) -> new_esEs18(yu301, yu40001) new_primEqInt(Pos(Succ(yu3000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(yu400000))) -> False new_esEs19(yu302, yu40002, ty_Char) -> new_esEs13(yu302, yu40002) new_esEs23(yu300, yu40000, ty_@0) -> new_esEs16(yu300, yu40000) new_esEs20(yu301, yu40001, ty_Float) -> new_esEs6(yu301, yu40001) new_esEs16(@0, @0) -> True new_esEs23(yu300, yu40000, app(app(ty_Either, bca), bcb)) -> new_esEs17(yu300, yu40000, bca, bcb) new_esEs8(Just(yu300), Just(yu40000), ty_Char) -> new_esEs13(yu300, yu40000) new_esEs5(yu30, yu4000, app(app(ty_@2, hc), hd)) -> new_esEs15(yu30, yu4000, hc, hd) new_primEqNat0(Succ(yu3000), Succ(yu400000)) -> new_primEqNat0(yu3000, yu400000) new_esEs20(yu301, yu40001, app(ty_Maybe, fa)) -> new_esEs8(yu301, yu40001, fa) new_esEs5(yu30, yu4000, app(app(app(ty_@3, cg), da), db)) -> new_esEs11(yu30, yu4000, cg, da, db) new_esEs19(yu302, yu40002, ty_Bool) -> new_esEs14(yu302, yu40002) new_esEs5(yu30, yu4000, ty_Int) -> new_esEs7(yu30, yu4000) new_esEs26(yu300, yu40000, ty_Int) -> new_esEs7(yu300, yu40000) new_esEs12(EQ, EQ) -> True new_esEs17(Left(yu300), Left(yu40000), app(app(ty_@2, bda), bdb), hf) -> new_esEs15(yu300, yu40000, bda, bdb) new_esEs24(yu310, yu40010, app(ty_[], hg)) -> new_esEs4(yu310, yu40010, hg) new_esEs23(yu300, yu40000, ty_Int) -> new_esEs7(yu300, yu40000) new_primMulNat0(Zero, Zero) -> Zero new_esEs23(yu300, yu40000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_esEs11(yu300, yu40000, bbc, bbd, bbe) new_esEs5(yu30, yu4000, app(ty_Ratio, hb)) -> new_esEs9(yu30, yu4000, hb) new_esEs22(yu301, yu40001, ty_Integer) -> new_esEs10(yu301, yu40001) new_esEs21(yu300, yu40000, ty_Integer) -> new_esEs10(yu300, yu40000) new_esEs8(Just(yu300), Just(yu40000), ty_Double) -> new_esEs18(yu300, yu40000) new_esEs8(Just(yu300), Just(yu40000), ty_Float) -> new_esEs6(yu300, yu40000) new_esEs17(Right(yu300), Right(yu40000), he, app(ty_[], beg)) -> new_esEs4(yu300, yu40000, beg) new_esEs21(yu300, yu40000, ty_@0) -> new_esEs16(yu300, yu40000) new_esEs12(LT, LT) -> True new_esEs17(Left(yu300), Left(yu40000), app(ty_[], bde), hf) -> new_esEs4(yu300, yu40000, bde) new_primEqNat0(Succ(yu3000), Zero) -> False new_primEqNat0(Zero, Succ(yu400000)) -> False new_esEs17(Right(yu300), Right(yu40000), he, ty_Bool) -> new_esEs14(yu300, yu40000) new_esEs23(yu300, yu40000, ty_Bool) -> new_esEs14(yu300, yu40000) new_esEs14(False, True) -> False new_esEs14(True, False) -> False new_esEs24(yu310, yu40010, ty_Double) -> new_esEs18(yu310, yu40010) new_esEs17(Right(yu300), Right(yu40000), he, ty_Double) -> new_esEs18(yu300, yu40000) new_esEs24(yu310, yu40010, ty_Float) -> new_esEs6(yu310, yu40010) new_esEs17(Right(yu300), Right(yu40000), he, ty_Float) -> new_esEs6(yu300, yu40000) new_esEs21(yu300, yu40000, app(ty_Maybe, gd)) -> new_esEs8(yu300, yu40000, gd) new_esEs5(yu30, yu4000, ty_Double) -> new_esEs18(yu30, yu4000) new_primEqInt(Neg(Succ(yu3000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(yu400000))) -> False new_esEs22(yu301, yu40001, ty_Ordering) -> new_esEs12(yu301, yu40001) new_esEs5(yu30, yu4000, ty_Float) -> new_esEs6(yu30, yu4000) new_primEqInt(Pos(Succ(yu3000)), Pos(Succ(yu400000))) -> new_primEqNat0(yu3000, yu400000) new_esEs17(Left(yu300), Right(yu40000), he, hf) -> False new_esEs17(Right(yu300), Left(yu40000), he, hf) -> False new_esEs24(yu310, yu40010, ty_Bool) -> new_esEs14(yu310, yu40010) new_esEs5(yu30, yu4000, ty_Bool) -> new_esEs14(yu30, yu4000) new_esEs7(yu30, yu4000) -> new_primEqInt(yu30, yu4000) new_sr(Pos(yu3000), Neg(yu400010)) -> Neg(new_primMulNat0(yu3000, yu400010)) new_sr(Neg(yu3000), Pos(yu400010)) -> Neg(new_primMulNat0(yu3000, yu400010)) new_esEs11(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cg, da, db) -> new_asAs(new_esEs21(yu300, yu40000, cg), new_asAs(new_esEs20(yu301, yu40001, da), new_esEs19(yu302, yu40002, db))) new_primPlusNat1(Succ(yu3400), Succ(yu40001000)) -> Succ(Succ(new_primPlusNat1(yu3400, yu40001000))) new_esEs22(yu301, yu40001, app(app(ty_@2, bae), baf)) -> new_esEs15(yu301, yu40001, bae, baf) new_esEs22(yu301, yu40001, app(app(app(ty_@3, baa), bab), bac)) -> new_esEs11(yu301, yu40001, baa, bab, bac) new_esEs14(False, False) -> True new_primEqInt(Pos(Succ(yu3000)), Neg(yu40000)) -> False new_primEqInt(Neg(Succ(yu3000)), Pos(yu40000)) -> False new_esEs22(yu301, yu40001, ty_Int) -> new_esEs7(yu301, yu40001) new_esEs17(Left(yu300), Left(yu40000), ty_Double, hf) -> new_esEs18(yu300, yu40000) new_esEs17(Left(yu300), Left(yu40000), ty_Float, hf) -> new_esEs6(yu300, yu40000) new_esEs17(Right(yu300), Right(yu40000), he, app(app(app(ty_@3, bdg), bdh), bea)) -> new_esEs11(yu300, yu40000, bdg, bdh, bea) new_esEs22(yu301, yu40001, app(ty_Ratio, hh)) -> new_esEs9(yu301, yu40001, hh) new_esEs22(yu301, yu40001, ty_@0) -> new_esEs16(yu301, yu40001) new_esEs5(yu30, yu4000, ty_Char) -> new_esEs13(yu30, yu4000) new_esEs12(EQ, GT) -> False new_esEs12(GT, EQ) -> False new_esEs17(Left(yu300), Left(yu40000), ty_Bool, hf) -> new_esEs14(yu300, yu40000) new_esEs22(yu301, yu40001, app(app(ty_Either, bag), bah)) -> new_esEs17(yu301, yu40001, bag, bah) new_esEs23(yu300, yu40000, app(ty_Maybe, bbf)) -> new_esEs8(yu300, yu40000, bbf) new_esEs19(yu302, yu40002, ty_Integer) -> new_esEs10(yu302, yu40002) new_esEs13(Char(yu300), Char(yu40000)) -> new_primEqNat0(yu300, yu40000) new_esEs8(Just(yu300), Just(yu40000), app(app(app(ty_@3, bf), bg), bh)) -> new_esEs11(yu300, yu40000, bf, bg, bh) new_esEs23(yu300, yu40000, app(app(ty_@2, bbg), bbh)) -> new_esEs15(yu300, yu40000, bbg, bbh) new_esEs8(Just(yu300), Just(yu40000), ty_Int) -> new_esEs7(yu300, yu40000) new_esEs21(yu300, yu40000, app(ty_Ratio, fh)) -> new_esEs9(yu300, yu40000, fh) new_sr(Neg(yu3000), Neg(yu400010)) -> Pos(new_primMulNat0(yu3000, yu400010)) new_esEs23(yu300, yu40000, app(ty_[], bcc)) -> new_esEs4(yu300, yu40000, bcc) new_esEs23(yu300, yu40000, ty_Float) -> new_esEs6(yu300, yu40000) new_esEs25(yu301, yu40001, ty_Integer) -> new_esEs10(yu301, yu40001) new_esEs19(yu302, yu40002, ty_Int) -> new_esEs7(yu302, yu40002) new_esEs23(yu300, yu40000, ty_Double) -> new_esEs18(yu300, yu40000) new_esEs19(yu302, yu40002, app(app(app(ty_@3, dd), de), df)) -> new_esEs11(yu302, yu40002, dd, de, df) new_primEqInt(Pos(Zero), Neg(Succ(yu400000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(yu400000))) -> False new_esEs24(yu310, yu40010, ty_Char) -> new_esEs13(yu310, yu40010) new_esEs8(Just(yu300), Just(yu40000), ty_Integer) -> new_esEs10(yu300, yu40000) new_esEs21(yu300, yu40000, ty_Ordering) -> new_esEs12(yu300, yu40000) new_esEs12(LT, EQ) -> False new_esEs12(EQ, LT) -> False new_esEs24(yu310, yu40010, ty_@0) -> new_esEs16(yu310, yu40010) new_esEs17(Left(yu300), Left(yu40000), ty_Ordering, hf) -> new_esEs12(yu300, yu40000) new_esEs21(yu300, yu40000, app(app(ty_@2, ge), gf)) -> new_esEs15(yu300, yu40000, ge, gf) new_esEs17(Right(yu300), Right(yu40000), he, app(ty_Ratio, bdf)) -> new_esEs9(yu300, yu40000, bdf) new_esEs20(yu301, yu40001, ty_Int) -> new_esEs7(yu301, yu40001) new_esEs20(yu301, yu40001, app(app(app(ty_@3, ef), eg), eh)) -> new_esEs11(yu301, yu40001, ef, eg, eh) new_esEs20(yu301, yu40001, app(app(ty_Either, fd), ff)) -> new_esEs17(yu301, yu40001, fd, ff) new_primEqInt(Neg(Succ(yu3000)), Neg(Succ(yu400000))) -> new_primEqNat0(yu3000, yu400000) new_esEs21(yu300, yu40000, app(ty_[], ha)) -> new_esEs4(yu300, yu40000, ha) new_esEs12(LT, GT) -> False new_esEs12(GT, LT) -> False new_primPlusNat0(Succ(yu340), yu4000100) -> Succ(Succ(new_primPlusNat1(yu340, yu4000100))) new_esEs23(yu300, yu40000, app(ty_Ratio, bbb)) -> new_esEs9(yu300, yu40000, bbb) new_esEs17(Left(yu300), Left(yu40000), app(app(app(ty_@3, bce), bcf), bcg), hf) -> new_esEs11(yu300, yu40000, bce, bcf, bcg) new_esEs17(Left(yu300), Left(yu40000), app(app(ty_Either, bdc), bdd), hf) -> new_esEs17(yu300, yu40000, bdc, bdd) new_esEs23(yu300, yu40000, ty_Integer) -> new_esEs10(yu300, yu40000) new_primPlusNat1(Zero, Zero) -> Zero new_primMulNat0(Succ(yu30000), Zero) -> Zero new_primMulNat0(Zero, Succ(yu4000100)) -> Zero new_sr(Pos(yu3000), Pos(yu400010)) -> Pos(new_primMulNat0(yu3000, yu400010)) new_esEs20(yu301, yu40001, ty_Integer) -> new_esEs10(yu301, yu40001) new_primPlusNat0(Zero, yu4000100) -> Succ(yu4000100) new_esEs23(yu300, yu40000, ty_Ordering) -> new_esEs12(yu300, yu40000) new_esEs5(yu30, yu4000, ty_@0) -> new_esEs16(yu30, yu4000) new_esEs19(yu302, yu40002, ty_Float) -> new_esEs6(yu302, yu40002) new_esEs5(yu30, yu4000, app(app(ty_Either, he), hf)) -> new_esEs17(yu30, yu4000, he, hf) new_esEs19(yu302, yu40002, ty_Double) -> new_esEs18(yu302, yu40002) new_esEs6(Float(yu300, yu301), Float(yu40000, yu40001)) -> new_esEs7(new_sr(yu300, yu40001), new_sr(yu301, yu40000)) new_esEs22(yu301, yu40001, ty_Char) -> new_esEs13(yu301, yu40001) new_esEs17(Left(yu300), Left(yu40000), app(ty_Ratio, bcd), hf) -> new_esEs9(yu300, yu40000, bcd) new_esEs5(yu30, yu4000, ty_Ordering) -> new_esEs12(yu30, yu4000) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs17(Right(yu300), Right(yu40000), he, app(app(ty_@2, bec), bed)) -> new_esEs15(yu300, yu40000, bec, bed) new_esEs8(Just(yu300), Just(yu40000), app(ty_[], cf)) -> new_esEs4(yu300, yu40000, cf) new_primMulNat0(Succ(yu30000), Succ(yu4000100)) -> new_primPlusNat0(new_primMulNat0(yu30000, Succ(yu4000100)), yu4000100) new_esEs19(yu302, yu40002, app(app(ty_Either, eb), ec)) -> new_esEs17(yu302, yu40002, eb, ec) new_esEs17(Right(yu300), Right(yu40000), he, app(ty_Maybe, beb)) -> new_esEs8(yu300, yu40000, beb) new_esEs17(Left(yu300), Left(yu40000), ty_@0, hf) -> new_esEs16(yu300, yu40000) new_esEs24(yu310, yu40010, ty_Ordering) -> new_esEs12(yu310, yu40010) new_esEs8(Just(yu300), Just(yu40000), app(app(ty_Either, cd), ce)) -> new_esEs17(yu300, yu40000, cd, ce) new_esEs22(yu301, yu40001, ty_Bool) -> new_esEs14(yu301, yu40001) new_esEs17(Left(yu300), Left(yu40000), ty_Int, hf) -> new_esEs7(yu300, yu40000) new_esEs4(:(yu310, yu311), [], bc) -> False new_esEs4([], :(yu40010, yu40011), bc) -> False new_esEs9(:%(yu300, yu301), :%(yu40000, yu40001), hb) -> new_asAs(new_esEs26(yu300, yu40000, hb), new_esEs25(yu301, yu40001, hb)) new_esEs17(Left(yu300), Left(yu40000), app(ty_Maybe, bch), hf) -> new_esEs8(yu300, yu40000, bch) new_esEs24(yu310, yu40010, app(app(app(ty_@3, cg), da), db)) -> new_esEs11(yu310, yu40010, cg, da, db) new_esEs19(yu302, yu40002, ty_Ordering) -> new_esEs12(yu302, yu40002) new_esEs19(yu302, yu40002, app(ty_Maybe, dg)) -> new_esEs8(yu302, yu40002, dg) new_esEs24(yu310, yu40010, ty_Int) -> new_esEs7(yu310, yu40010) new_primPlusNat1(Succ(yu3400), Zero) -> Succ(yu3400) new_primPlusNat1(Zero, Succ(yu40001000)) -> Succ(yu40001000) new_esEs17(Left(yu300), Left(yu40000), ty_Integer, hf) -> new_esEs10(yu300, yu40000) new_esEs15(@2(yu300, yu301), @2(yu40000, yu40001), hc, hd) -> new_asAs(new_esEs23(yu300, yu40000, hc), new_esEs22(yu301, yu40001, hd)) new_esEs24(yu310, yu40010, app(ty_Ratio, hb)) -> new_esEs9(yu310, yu40010, hb) new_esEs20(yu301, yu40001, app(app(ty_@2, fb), fc)) -> new_esEs15(yu301, yu40001, fb, fc) new_esEs17(Right(yu300), Right(yu40000), he, app(app(ty_Either, bee), bef)) -> new_esEs17(yu300, yu40000, bee, bef) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs8(Just(yu300), Just(yu40000), app(ty_Maybe, ca)) -> new_esEs8(yu300, yu40000, ca) new_esEs20(yu301, yu40001, ty_Char) -> new_esEs13(yu301, yu40001) new_esEs20(yu301, yu40001, ty_@0) -> new_esEs16(yu301, yu40001) new_esEs25(yu301, yu40001, ty_Int) -> new_esEs7(yu301, yu40001) new_esEs24(yu310, yu40010, ty_Integer) -> new_esEs10(yu310, yu40010) new_primEqNat0(Zero, Zero) -> True new_esEs8(Just(yu300), Just(yu40000), ty_Ordering) -> new_esEs12(yu300, yu40000) new_esEs24(yu310, yu40010, app(app(ty_Either, he), hf)) -> new_esEs17(yu310, yu40010, he, hf) new_esEs19(yu302, yu40002, app(app(ty_@2, dh), ea)) -> new_esEs15(yu302, yu40002, dh, ea) new_esEs17(Right(yu300), Right(yu40000), he, ty_@0) -> new_esEs16(yu300, yu40000) new_esEs4([], [], bc) -> True new_esEs18(Double(yu300, yu301), Double(yu40000, yu40001)) -> new_esEs7(new_sr(yu300, yu40001), new_sr(yu301, yu40000)) new_esEs14(True, True) -> True new_asAs(False, yu33) -> False new_esEs17(Right(yu300), Right(yu40000), he, ty_Int) -> new_esEs7(yu300, yu40000) new_esEs19(yu302, yu40002, app(ty_[], ed)) -> new_esEs4(yu302, yu40002, ed) new_esEs21(yu300, yu40000, ty_Char) -> new_esEs13(yu300, yu40000) new_esEs24(yu310, yu40010, app(ty_Maybe, bd)) -> new_esEs8(yu310, yu40010, bd) new_esEs21(yu300, yu40000, ty_Bool) -> new_esEs14(yu300, yu40000) new_esEs8(Just(yu300), Just(yu40000), app(app(ty_@2, cb), cc)) -> new_esEs15(yu300, yu40000, cb, cc) new_esEs19(yu302, yu40002, app(ty_Ratio, dc)) -> new_esEs9(yu302, yu40002, dc) new_esEs17(Right(yu300), Right(yu40000), he, ty_Ordering) -> new_esEs12(yu300, yu40000) new_esEs8(Just(yu300), Just(yu40000), ty_@0) -> new_esEs16(yu300, yu40000) new_esEs21(yu300, yu40000, ty_Double) -> new_esEs18(yu300, yu40000) new_esEs21(yu300, yu40000, ty_Float) -> new_esEs6(yu300, yu40000) new_esEs8(Just(yu300), Just(yu40000), app(ty_Ratio, be)) -> new_esEs9(yu300, yu40000, be) new_esEs20(yu301, yu40001, app(ty_[], fg)) -> new_esEs4(yu301, yu40001, fg) new_esEs17(Right(yu300), Right(yu40000), he, ty_Integer) -> new_esEs10(yu300, yu40000) The set Q consists of the following terms: new_esEs26(x0, x1, ty_Integer) new_esEs4([], :(x0, x1), x2) new_esEs19(x0, x1, ty_Integer) new_esEs22(x0, x1, app(ty_[], x2)) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_esEs19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs24(x0, x1, ty_Float) new_esEs12(EQ, EQ) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_esEs20(x0, x1, app(app(ty_@2, x2), x3)) new_esEs17(Left(x0), Right(x1), x2, x3) new_esEs17(Right(x0), Left(x1), x2, x3) new_esEs20(x0, x1, ty_Float) new_esEs17(Left(x0), Left(x1), ty_Integer, x2) new_esEs20(x0, x1, ty_Ordering) new_esEs5(x0, x1, app(ty_Ratio, x2)) new_esEs23(x0, x1, ty_Integer) new_esEs22(x0, x1, ty_Float) new_primMulNat0(Zero, Zero) new_primPlusNat1(Zero, Zero) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs8(Nothing, Nothing, x0) new_esEs24(x0, x1, ty_Double) new_esEs19(x0, x1, app(ty_Ratio, x2)) new_esEs5(x0, x1, ty_Double) new_esEs24(x0, x1, app(ty_Ratio, x2)) new_esEs8(Just(x0), Just(x1), ty_Float) new_esEs8(Just(x0), Just(x1), ty_Ordering) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs21(x0, x1, ty_Integer) new_esEs24(x0, x1, ty_Int) new_esEs19(x0, x1, ty_Bool) new_esEs17(Left(x0), Left(x1), ty_Bool, x2) new_esEs20(x0, x1, ty_Int) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_esEs5(x0, x1, app(app(ty_Either, x2), x3)) new_esEs17(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs8(Just(x0), Just(x1), ty_Double) new_esEs14(True, True) new_primEqInt(Neg(Zero), Neg(Zero)) new_esEs8(Just(x0), Just(x1), ty_Int) new_esEs15(@2(x0, x1), @2(x2, x3), x4, x5) new_esEs20(x0, x1, ty_Double) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs24(x0, x1, ty_Ordering) new_esEs23(x0, x1, ty_Double) new_esEs21(x0, x1, ty_Ordering) new_esEs6(Float(x0, x1), Float(x2, x3)) new_esEs12(EQ, GT) new_esEs12(GT, EQ) new_esEs8(Just(x0), Nothing, x1) new_asAs(True, x0) new_esEs22(x0, x1, ty_Char) new_esEs23(x0, x1, ty_Bool) new_esEs5(x0, x1, ty_Int) new_primPlusNat0(Succ(x0), x1) new_esEs25(x0, x1, ty_Int) new_esEs14(False, True) new_esEs14(True, False) new_esEs17(Left(x0), Left(x1), ty_Double, x2) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_esEs8(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs19(x0, x1, ty_@0) new_esEs5(x0, x1, ty_Char) new_esEs17(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_asAs(False, x0) new_esEs17(Right(x0), Right(x1), x2, ty_Ordering) new_primPlusNat1(Succ(x0), Zero) new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_esEs5(x0, x1, app(ty_Maybe, x2)) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs13(Char(x0), Char(x1)) new_esEs17(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_esEs17(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs12(LT, GT) new_esEs12(GT, LT) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs19(x0, x1, ty_Float) new_esEs19(x0, x1, app(ty_Maybe, x2)) new_esEs17(Left(x0), Left(x1), ty_Float, x2) new_sr(Pos(x0), Neg(x1)) new_sr(Neg(x0), Pos(x1)) new_esEs5(x0, x1, ty_Float) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs20(x0, x1, ty_Integer) new_esEs12(LT, LT) new_esEs22(x0, x1, ty_Double) new_esEs8(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs22(x0, x1, ty_Int) new_esEs20(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_esEs5(x0, x1, ty_@0) new_esEs17(Left(x0), Left(x1), ty_@0, x2) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs17(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_primMulNat0(Succ(x0), Zero) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs19(x0, x1, app(ty_[], x2)) new_esEs17(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_esEs22(x0, x1, ty_@0) new_esEs19(x0, x1, ty_Int) new_esEs20(x0, x1, ty_Bool) new_esEs17(Left(x0), Left(x1), ty_Int, x2) new_esEs23(x0, x1, ty_Char) new_esEs24(x0, x1, ty_Bool) new_esEs8(Just(x0), Just(x1), ty_@0) new_esEs20(x0, x1, app(ty_[], x2)) new_esEs8(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs17(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_primMulNat0(Succ(x0), Succ(x1)) new_esEs18(Double(x0, x1), Double(x2, x3)) new_esEs4(:(x0, x1), [], x2) new_esEs8(Nothing, Just(x0), x1) new_esEs21(x0, x1, app(ty_[], x2)) new_esEs23(x0, x1, app(ty_[], x2)) new_primEqNat0(Succ(x0), Succ(x1)) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs22(x0, x1, ty_Bool) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs17(Left(x0), Left(x1), ty_Char, x2) new_esEs20(x0, x1, ty_@0) new_esEs24(x0, x1, app(ty_Maybe, x2)) new_esEs12(GT, GT) new_esEs12(LT, EQ) new_esEs12(EQ, LT) new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) new_primEqNat0(Succ(x0), Zero) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_esEs19(x0, x1, ty_Ordering) new_esEs24(x0, x1, ty_Integer) new_esEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs20(x0, x1, app(ty_Maybe, x2)) new_esEs17(Right(x0), Right(x1), x2, ty_Float) new_esEs17(Right(x0), Right(x1), x2, ty_Integer) new_esEs8(Just(x0), Just(x1), ty_Char) new_primEqNat0(Zero, Succ(x0)) new_esEs5(x0, x1, ty_Bool) new_esEs23(x0, x1, ty_Ordering) new_esEs26(x0, x1, ty_Int) new_esEs23(x0, x1, ty_Int) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_esEs19(x0, x1, ty_Double) new_esEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs24(x0, x1, ty_@0) new_esEs19(x0, x1, ty_Char) new_primMulNat0(Zero, Succ(x0)) new_sr(Pos(x0), Pos(x1)) new_primEqNat0(Zero, Zero) new_esEs20(x0, x1, ty_Char) new_primPlusNat1(Succ(x0), Succ(x1)) new_esEs17(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs23(x0, x1, ty_Float) new_esEs23(x0, x1, ty_@0) new_esEs8(Just(x0), Just(x1), app(ty_[], x2)) new_esEs25(x0, x1, ty_Integer) new_esEs5(x0, x1, ty_Integer) new_esEs24(x0, x1, ty_Char) new_esEs9(:%(x0, x1), :%(x2, x3), x4) new_esEs17(Right(x0), Right(x1), x2, ty_Int) new_esEs17(Right(x0), Right(x1), x2, ty_Bool) new_sr(Neg(x0), Neg(x1)) new_esEs5(x0, x1, app(app(ty_@2, x2), x3)) new_esEs21(x0, x1, ty_@0) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_esEs21(x0, x1, ty_Float) new_esEs14(False, False) new_esEs8(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_esEs19(x0, x1, app(app(ty_Either, x2), x3)) new_esEs24(x0, x1, app(ty_[], x2)) new_esEs22(x0, x1, ty_Integer) new_esEs17(Right(x0), Right(x1), x2, ty_@0) new_esEs21(x0, x1, ty_Bool) new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs8(Just(x0), Just(x1), ty_Integer) new_esEs5(x0, x1, app(ty_[], x2)) new_esEs17(Left(x0), Left(x1), ty_Ordering, x2) new_esEs7(x0, x1) new_esEs8(Just(x0), Just(x1), ty_Bool) new_esEs17(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_esEs21(x0, x1, ty_Int) new_esEs17(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs22(x0, x1, ty_Ordering) new_esEs20(x0, x1, app(ty_Ratio, x2)) new_esEs17(Left(x0), Left(x1), app(ty_[], x2), x3) new_primPlusNat0(Zero, x0) new_esEs21(x0, x1, ty_Char) new_primPlusNat1(Zero, Succ(x0)) new_esEs21(x0, x1, ty_Double) new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) new_esEs16(@0, @0) new_esEs8(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs10(Integer(x0), Integer(x1)) new_esEs4(:(x0, x1), :(x2, x3), x4) new_esEs5(x0, x1, ty_Ordering) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs17(Right(x0), Right(x1), x2, ty_Char) new_esEs4([], [], x0) new_esEs17(Right(x0), Right(x1), x2, ty_Double) new_esEs17(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) 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_lookup1(yu13, yu14, yu15, yu16, yu17, yu18, False, h, ba) -> new_lookup(:(yu13, yu14), yu18, h, ba) The graph contains the following edges 6 >= 2, 8 >= 3, 9 >= 4 *new_lookup(:(yu30, yu31), :(@2([], yu401), yu41), bb, bc) -> new_lookup(:(yu30, yu31), yu41, bb, bc) The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3, 4 >= 4 *new_lookup(:(yu30, yu31), :(@2(:(yu4000, yu4001), yu401), yu41), bb, bc) -> new_lookup1(yu30, yu31, yu4000, yu4001, yu401, yu41, new_asAs(new_esEs5(yu30, yu4000, bc), new_esEs4(yu31, yu4001, bc)), bb, bc) The graph contains the following edges 1 > 1, 1 > 2, 2 > 3, 2 > 4, 2 > 5, 2 > 6, 3 >= 8, 4 >= 9 ---------------------------------------- (15) YES ---------------------------------------- (16) Obligation: Q DP problem: The TRS P consists of the following rules: new_primMulNat(Succ(yu30000), Succ(yu4000100)) -> new_primMulNat(yu30000, Succ(yu4000100)) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (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_primMulNat(Succ(yu30000), Succ(yu4000100)) -> new_primMulNat(yu30000, Succ(yu4000100)) The graph contains the following edges 1 > 1, 2 >= 2 ---------------------------------------- (18) YES ---------------------------------------- (19) Obligation: Q DP problem: The TRS P consists of the following rules: new_esEs3(Left(yu300), Left(yu40000), app(app(ty_Either, bbh), bca), bh) -> new_esEs3(yu300, yu40000, bbh, bca) new_esEs(:(yu310, yu311), :(yu40010, yu40011), app(app(ty_@2, be), bf)) -> new_esEs2(yu310, yu40010, be, bf) new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(ty_Maybe, eh), bb, bc) -> new_esEs1(yu300, yu40000, eh) new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ba, app(app(ty_Either, eb), ec), bc) -> new_esEs3(yu301, yu40001, eb, ec) new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ba, app(app(app(ty_@3, dd), de), df), bc) -> new_esEs0(yu301, yu40001, dd, de, df) new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ba, bb, app(ty_Maybe, ce)) -> new_esEs1(yu302, yu40002, ce) new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), be, app(app(ty_@2, hd), he)) -> new_esEs2(yu301, yu40001, hd, he) new_esEs3(Right(yu300), Right(yu40000), bg, app(ty_[], bdc)) -> new_esEs(yu300, yu40000, bdc) new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), be, app(ty_[], hh)) -> new_esEs(yu301, yu40001, hh) new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), app(app(ty_Either, bag), bah), bf) -> new_esEs3(yu300, yu40000, bag, bah) new_esEs(:(yu310, yu311), :(yu40010, yu40011), h) -> new_esEs(yu311, yu40011, h) new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ba, app(ty_Maybe, dg), bc) -> new_esEs1(yu301, yu40001, dg) new_esEs(:(yu310, yu311), :(yu40010, yu40011), app(ty_Maybe, bd)) -> new_esEs1(yu310, yu40010, bd) new_esEs3(Left(yu300), Left(yu40000), app(ty_[], bcb), bh) -> new_esEs(yu300, yu40000, bcb) new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ba, bb, app(app(ty_@2, cf), cg)) -> new_esEs2(yu302, yu40002, cf, cg) new_esEs3(Right(yu300), Right(yu40000), bg, app(app(ty_@2, bcg), bch)) -> new_esEs2(yu300, yu40000, bcg, bch) new_esEs(:(yu310, yu311), :(yu40010, yu40011), app(ty_[], ca)) -> new_esEs(yu310, yu40010, ca) new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ba, bb, app(app(ty_Either, da), db)) -> new_esEs3(yu302, yu40002, da, db) new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ba, app(app(ty_@2, dh), ea), bc) -> new_esEs2(yu301, yu40001, dh, ea) new_esEs(:(yu310, yu311), :(yu40010, yu40011), app(app(ty_Either, bg), bh)) -> new_esEs3(yu310, yu40010, bg, bh) new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), app(app(ty_@2, bae), baf), bf) -> new_esEs2(yu300, yu40000, bae, baf) new_esEs3(Right(yu300), Right(yu40000), bg, app(app(ty_Either, bda), bdb)) -> new_esEs3(yu300, yu40000, bda, bdb) new_esEs(:(yu310, yu311), :(yu40010, yu40011), app(app(app(ty_@3, ba), bb), bc)) -> new_esEs0(yu310, yu40010, ba, bb, bc) new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ba, bb, app(app(app(ty_@3, cb), cc), cd)) -> new_esEs0(yu302, yu40002, cb, cc, cd) new_esEs1(Just(yu300), Just(yu40000), app(app(app(ty_@3, fg), fh), ga)) -> new_esEs0(yu300, yu40000, fg, fh, ga) new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), be, app(app(ty_Either, hf), hg)) -> new_esEs3(yu301, yu40001, hf, hg) new_esEs3(Left(yu300), Left(yu40000), app(app(app(ty_@3, bbb), bbc), bbd), bh) -> new_esEs0(yu300, yu40000, bbb, bbc, bbd) new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(ty_[], ff), bb, bc) -> new_esEs(yu300, yu40000, ff) new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ba, app(ty_[], ed), bc) -> new_esEs(yu301, yu40001, ed) new_esEs3(Right(yu300), Right(yu40000), bg, app(ty_Maybe, bcf)) -> new_esEs1(yu300, yu40000, bcf) new_esEs1(Just(yu300), Just(yu40000), app(app(ty_@2, gc), gd)) -> new_esEs2(yu300, yu40000, gc, gd) new_esEs3(Left(yu300), Left(yu40000), app(app(ty_@2, bbf), bbg), bh) -> new_esEs2(yu300, yu40000, bbf, bbg) new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ba, bb, app(ty_[], dc)) -> new_esEs(yu302, yu40002, dc) new_esEs3(Right(yu300), Right(yu40000), bg, app(app(app(ty_@3, bcc), bcd), bce)) -> new_esEs0(yu300, yu40000, bcc, bcd, bce) new_esEs1(Just(yu300), Just(yu40000), app(ty_[], gg)) -> new_esEs(yu300, yu40000, gg) new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), app(ty_[], bba), bf) -> new_esEs(yu300, yu40000, bba) new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(ty_@2, fa), fb), bb, bc) -> new_esEs2(yu300, yu40000, fa, fb) new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), be, app(ty_Maybe, hc)) -> new_esEs1(yu301, yu40001, hc) new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), app(app(app(ty_@3, baa), bab), bac), bf) -> new_esEs0(yu300, yu40000, baa, bab, bac) new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), app(ty_Maybe, bad), bf) -> new_esEs1(yu300, yu40000, bad) new_esEs3(Left(yu300), Left(yu40000), app(ty_Maybe, bbe), bh) -> new_esEs1(yu300, yu40000, bbe) new_esEs1(Just(yu300), Just(yu40000), app(ty_Maybe, gb)) -> new_esEs1(yu300, yu40000, gb) new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(app(ty_@3, ee), ef), eg), bb, bc) -> new_esEs0(yu300, yu40000, ee, ef, eg) new_esEs1(Just(yu300), Just(yu40000), app(app(ty_Either, ge), gf)) -> new_esEs3(yu300, yu40000, ge, gf) new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(ty_Either, fc), fd), bb, bc) -> new_esEs3(yu300, yu40000, fc, fd) new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), be, app(app(app(ty_@3, gh), ha), hb)) -> new_esEs0(yu301, yu40001, gh, ha, hb) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (20) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_esEs1(Just(yu300), Just(yu40000), app(app(ty_Either, ge), gf)) -> new_esEs3(yu300, yu40000, ge, gf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(yu300), Just(yu40000), app(ty_[], gg)) -> new_esEs(yu300, yu40000, gg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Just(yu300), Just(yu40000), app(app(app(ty_@3, fg), fh), ga)) -> new_esEs0(yu300, yu40000, fg, fh, ga) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(:(yu310, yu311), :(yu40010, yu40011), app(app(ty_Either, bg), bh)) -> new_esEs3(yu310, yu40010, bg, bh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(yu310, yu311), :(yu40010, yu40011), app(app(app(ty_@3, ba), bb), bc)) -> new_esEs0(yu310, yu40010, ba, bb, bc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(Just(yu300), Just(yu40000), app(app(ty_@2, gc), gd)) -> new_esEs2(yu300, yu40000, gc, gd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(yu300), Just(yu40000), app(ty_Maybe, gb)) -> new_esEs1(yu300, yu40000, gb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(yu310, yu311), :(yu40010, yu40011), app(app(ty_@2, be), bf)) -> new_esEs2(yu310, yu40010, be, bf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(yu310, yu311), :(yu40010, yu40011), app(ty_Maybe, bd)) -> new_esEs1(yu310, yu40010, bd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Left(yu300), Left(yu40000), app(app(ty_Either, bbh), bca), bh) -> new_esEs3(yu300, yu40000, bbh, bca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Right(yu300), Right(yu40000), bg, app(app(ty_Either, bda), bdb)) -> new_esEs3(yu300, yu40000, bda, bdb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(Right(yu300), Right(yu40000), bg, app(ty_[], bdc)) -> new_esEs(yu300, yu40000, bdc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(Left(yu300), Left(yu40000), app(ty_[], bcb), bh) -> new_esEs(yu300, yu40000, bcb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Left(yu300), Left(yu40000), app(app(app(ty_@3, bbb), bbc), bbd), bh) -> new_esEs0(yu300, yu40000, bbb, bbc, bbd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(Right(yu300), Right(yu40000), bg, app(app(app(ty_@3, bcc), bcd), bce)) -> new_esEs0(yu300, yu40000, bcc, bcd, bce) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs3(Right(yu300), Right(yu40000), bg, app(app(ty_@2, bcg), bch)) -> new_esEs2(yu300, yu40000, bcg, bch) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(Left(yu300), Left(yu40000), app(app(ty_@2, bbf), bbg), bh) -> new_esEs2(yu300, yu40000, bbf, bbg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Right(yu300), Right(yu40000), bg, app(ty_Maybe, bcf)) -> new_esEs1(yu300, yu40000, bcf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(Left(yu300), Left(yu40000), app(ty_Maybe, bbe), bh) -> new_esEs1(yu300, yu40000, bbe) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), app(app(ty_Either, bag), bah), bf) -> new_esEs3(yu300, yu40000, bag, bah) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), be, app(app(ty_Either, hf), hg)) -> new_esEs3(yu301, yu40001, hf, hg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ba, app(app(ty_Either, eb), ec), bc) -> new_esEs3(yu301, yu40001, eb, ec) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ba, bb, app(app(ty_Either, da), db)) -> new_esEs3(yu302, yu40002, da, db) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(ty_Either, fc), fd), bb, bc) -> new_esEs3(yu300, yu40000, fc, fd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), be, app(ty_[], hh)) -> new_esEs(yu301, yu40001, hh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), app(ty_[], bba), bf) -> new_esEs(yu300, yu40000, bba) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), app(app(app(ty_@3, baa), bab), bac), bf) -> new_esEs0(yu300, yu40000, baa, bab, bac) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), be, app(app(app(ty_@3, gh), ha), hb)) -> new_esEs0(yu301, yu40001, gh, ha, hb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), be, app(app(ty_@2, hd), he)) -> new_esEs2(yu301, yu40001, hd, he) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), app(app(ty_@2, bae), baf), bf) -> new_esEs2(yu300, yu40000, bae, baf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), be, app(ty_Maybe, hc)) -> new_esEs1(yu301, yu40001, hc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), app(ty_Maybe, bad), bf) -> new_esEs1(yu300, yu40000, bad) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(ty_[], ff), bb, bc) -> new_esEs(yu300, yu40000, ff) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ba, app(ty_[], ed), bc) -> new_esEs(yu301, yu40001, ed) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ba, bb, app(ty_[], dc)) -> new_esEs(yu302, yu40002, dc) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs(:(yu310, yu311), :(yu40010, yu40011), h) -> new_esEs(yu311, yu40011, h) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs(:(yu310, yu311), :(yu40010, yu40011), app(ty_[], ca)) -> new_esEs(yu310, yu40010, ca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ba, app(app(app(ty_@3, dd), de), df), bc) -> new_esEs0(yu301, yu40001, dd, de, df) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ba, bb, app(app(app(ty_@3, cb), cc), cd)) -> new_esEs0(yu302, yu40002, cb, cc, cd) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(app(ty_@3, ee), ef), eg), bb, bc) -> new_esEs0(yu300, yu40000, ee, ef, eg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ba, bb, app(app(ty_@2, cf), cg)) -> new_esEs2(yu302, yu40002, cf, cg) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ba, app(app(ty_@2, dh), ea), bc) -> new_esEs2(yu301, yu40001, dh, ea) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(ty_@2, fa), fb), bb, bc) -> new_esEs2(yu300, yu40000, fa, fb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(ty_Maybe, eh), bb, bc) -> new_esEs1(yu300, yu40000, eh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ba, bb, app(ty_Maybe, ce)) -> new_esEs1(yu302, yu40002, ce) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ba, app(ty_Maybe, dg), bc) -> new_esEs1(yu301, yu40001, dg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 ---------------------------------------- (21) YES ---------------------------------------- (22) Obligation: Q DP problem: The TRS P consists of the following rules: new_primPlusNat(Succ(yu3400), Succ(yu40001000)) -> new_primPlusNat(yu3400, yu40001000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (23) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primPlusNat(Succ(yu3400), Succ(yu40001000)) -> new_primPlusNat(yu3400, yu40001000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (24) YES ---------------------------------------- (25) Obligation: Q DP problem: The TRS P consists of the following rules: new_primEqNat(Succ(yu3000), Succ(yu400000)) -> new_primEqNat(yu3000, yu400000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (26) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primEqNat(Succ(yu3000), Succ(yu400000)) -> new_primEqNat(yu3000, yu400000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (27) YES