11.20/4.61 YES 13.00/5.06 proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs 13.00/5.06 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 13.00/5.06 13.00/5.06 13.00/5.06 H-Termination with start terms of the given HASKELL could be proven: 13.00/5.06 13.00/5.06 (0) HASKELL 13.00/5.06 (1) BR [EQUIVALENT, 0 ms] 13.00/5.06 (2) HASKELL 13.00/5.06 (3) COR [EQUIVALENT, 0 ms] 13.00/5.06 (4) HASKELL 13.00/5.06 (5) Narrow [SOUND, 0 ms] 13.00/5.06 (6) AND 13.00/5.06 (7) QDP 13.00/5.06 (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] 13.00/5.06 (9) YES 13.00/5.06 (10) QDP 13.00/5.06 (11) DependencyGraphProof [EQUIVALENT, 0 ms] 13.00/5.06 (12) AND 13.00/5.06 (13) QDP 13.00/5.06 (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] 13.00/5.06 (15) YES 13.00/5.06 (16) QDP 13.00/5.06 (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] 13.00/5.06 (18) YES 13.00/5.06 (19) QDP 13.00/5.06 (20) QDPSizeChangeProof [EQUIVALENT, 0 ms] 13.00/5.06 (21) YES 13.00/5.06 (22) QDP 13.00/5.06 (23) QDPSizeChangeProof [EQUIVALENT, 0 ms] 13.00/5.06 (24) YES 13.00/5.06 (25) QDP 13.00/5.06 (26) QDPSizeChangeProof [EQUIVALENT, 0 ms] 13.00/5.06 (27) YES 13.00/5.06 13.00/5.06 13.00/5.06 ---------------------------------------- 13.00/5.06 13.00/5.06 (0) 13.00/5.06 Obligation: 13.38/5.90 mainModule Main 13.38/5.90 module Main where { 13.38/5.90 import qualified Prelude; 13.38/5.90 } 13.38/5.90 13.38/5.90 ---------------------------------------- 13.38/5.90 13.38/5.90 (1) BR (EQUIVALENT) 13.38/5.90 Replaced joker patterns by fresh variables and removed binding patterns. 13.38/5.90 ---------------------------------------- 13.38/5.90 13.38/5.90 (2) 13.38/5.90 Obligation: 13.38/5.90 mainModule Main 13.38/5.90 module Main where { 13.38/5.90 import qualified Prelude; 13.38/5.90 } 13.38/5.90 13.38/5.90 ---------------------------------------- 13.38/5.90 13.38/5.90 (3) COR (EQUIVALENT) 13.38/5.90 Cond Reductions: 13.38/5.90 The following Function with conditions 13.38/5.90 "lookup k [] = Nothing; 13.38/5.90 lookup k ((x,y) : xys)|k == xJust y|otherwiselookup k xys; 13.38/5.90 " 13.38/5.90 is transformed to 13.38/5.90 "lookup k [] = lookup3 k []; 13.38/5.90 lookup k ((x,y) : xys) = lookup2 k ((x,y) : xys); 13.38/5.90 " 13.38/5.90 "lookup1 k x y xys True = Just y; 13.38/5.90 lookup1 k x y xys False = lookup0 k x y xys otherwise; 13.38/5.90 " 13.38/5.90 "lookup0 k x y xys True = lookup k xys; 13.38/5.90 " 13.38/5.90 "lookup2 k ((x,y) : xys) = lookup1 k x y xys (k == x); 13.38/5.90 " 13.38/5.90 "lookup3 k [] = Nothing; 13.38/5.90 lookup3 xy xz = lookup2 xy xz; 13.38/5.90 " 13.38/5.90 The following Function with conditions 13.38/5.90 "undefined |Falseundefined; 13.38/5.90 " 13.38/5.90 is transformed to 13.38/5.90 "undefined = undefined1; 13.38/5.90 " 13.38/5.90 "undefined0 True = undefined; 13.38/5.90 " 13.38/5.90 "undefined1 = undefined0 False; 13.38/5.90 " 13.38/5.90 13.38/5.90 ---------------------------------------- 13.38/5.90 13.38/5.90 (4) 13.38/5.90 Obligation: 13.38/5.90 mainModule Main 13.38/5.90 module Main where { 13.38/5.90 import qualified Prelude; 13.38/5.90 } 13.38/5.90 13.38/5.90 ---------------------------------------- 13.38/5.90 13.38/5.90 (5) Narrow (SOUND) 13.38/5.90 Haskell To QDPs 13.38/5.90 13.38/5.90 digraph dp_graph { 13.38/5.90 node [outthreshold=100, inthreshold=100];1[label="lookup",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 13.38/5.90 3[label="lookup yu3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 13.38/5.90 4[label="lookup yu3 yu4",fontsize=16,color="burlywood",shape="triangle"];945[label="yu4/yu40 : yu41",fontsize=10,color="white",style="solid",shape="box"];4 -> 945[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 945 -> 5[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 946[label="yu4/[]",fontsize=10,color="white",style="solid",shape="box"];4 -> 946[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 946 -> 6[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 5[label="lookup yu3 (yu40 : yu41)",fontsize=16,color="burlywood",shape="box"];947[label="yu40/(yu400,yu401)",fontsize=10,color="white",style="solid",shape="box"];5 -> 947[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 947 -> 7[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 6[label="lookup yu3 []",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3]; 13.38/5.90 7[label="lookup yu3 ((yu400,yu401) : yu41)",fontsize=16,color="black",shape="box"];7 -> 9[label="",style="solid", color="black", weight=3]; 13.38/5.90 8[label="lookup3 yu3 []",fontsize=16,color="black",shape="box"];8 -> 10[label="",style="solid", color="black", weight=3]; 13.38/5.90 9[label="lookup2 yu3 ((yu400,yu401) : yu41)",fontsize=16,color="black",shape="box"];9 -> 11[label="",style="solid", color="black", weight=3]; 13.38/5.90 10[label="Nothing",fontsize=16,color="green",shape="box"];11[label="lookup1 yu3 yu400 yu401 yu41 (yu3 == yu400)",fontsize=16,color="burlywood",shape="box"];948[label="yu3/yu30 : yu31",fontsize=10,color="white",style="solid",shape="box"];11 -> 948[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 948 -> 12[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 949[label="yu3/[]",fontsize=10,color="white",style="solid",shape="box"];11 -> 949[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 949 -> 13[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 12[label="lookup1 (yu30 : yu31) yu400 yu401 yu41 (yu30 : yu31 == yu400)",fontsize=16,color="burlywood",shape="box"];950[label="yu400/yu4000 : yu4001",fontsize=10,color="white",style="solid",shape="box"];12 -> 950[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 950 -> 14[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 951[label="yu400/[]",fontsize=10,color="white",style="solid",shape="box"];12 -> 951[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 951 -> 15[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 13[label="lookup1 [] yu400 yu401 yu41 ([] == yu400)",fontsize=16,color="burlywood",shape="box"];952[label="yu400/yu4000 : yu4001",fontsize=10,color="white",style="solid",shape="box"];13 -> 952[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 952 -> 16[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 953[label="yu400/[]",fontsize=10,color="white",style="solid",shape="box"];13 -> 953[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 953 -> 17[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 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]; 13.38/5.90 15[label="lookup1 (yu30 : yu31) [] yu401 yu41 (yu30 : yu31 == [])",fontsize=16,color="black",shape="box"];15 -> 19[label="",style="solid", color="black", weight=3]; 13.38/5.90 16[label="lookup1 [] (yu4000 : yu4001) yu401 yu41 ([] == yu4000 : yu4001)",fontsize=16,color="black",shape="box"];16 -> 20[label="",style="solid", color="black", weight=3]; 13.38/5.90 17[label="lookup1 [] [] yu401 yu41 ([] == [])",fontsize=16,color="black",shape="box"];17 -> 21[label="",style="solid", color="black", weight=3]; 13.38/5.90 18 -> 111[label="",style="dashed", color="red", weight=0]; 13.38/5.90 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]; 13.38/5.90 18 -> 113[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 18 -> 114[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 18 -> 115[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 18 -> 116[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 18 -> 117[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 18 -> 118[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 19[label="lookup1 (yu30 : yu31) [] yu401 yu41 False",fontsize=16,color="black",shape="box"];19 -> 30[label="",style="solid", color="black", weight=3]; 13.38/5.90 20[label="lookup1 [] (yu4000 : yu4001) yu401 yu41 False",fontsize=16,color="black",shape="box"];20 -> 31[label="",style="solid", color="black", weight=3]; 13.38/5.90 21[label="lookup1 [] [] yu401 yu41 True",fontsize=16,color="black",shape="box"];21 -> 32[label="",style="solid", color="black", weight=3]; 13.38/5.90 112[label="yu41",fontsize=16,color="green",shape="box"];113[label="yu401",fontsize=16,color="green",shape="box"];114[label="yu4000",fontsize=16,color="green",shape="box"];115 -> 310[label="",style="dashed", color="red", weight=0]; 13.38/5.90 115[label="yu30 == yu4000 && yu31 == yu4001",fontsize=16,color="magenta"];115 -> 311[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 115 -> 312[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 116[label="yu4001",fontsize=16,color="green",shape="box"];117[label="yu30",fontsize=16,color="green",shape="box"];118[label="yu31",fontsize=16,color="green",shape="box"];111[label="lookup1 (yu13 : yu14) (yu15 : yu16) yu17 yu18 yu20",fontsize=16,color="burlywood",shape="triangle"];954[label="yu20/False",fontsize=10,color="white",style="solid",shape="box"];111 -> 954[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 954 -> 126[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 955[label="yu20/True",fontsize=10,color="white",style="solid",shape="box"];111 -> 955[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 955 -> 127[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 30[label="lookup0 (yu30 : yu31) [] yu401 yu41 otherwise",fontsize=16,color="black",shape="box"];30 -> 49[label="",style="solid", color="black", weight=3]; 13.38/5.90 31[label="lookup0 [] (yu4000 : yu4001) yu401 yu41 otherwise",fontsize=16,color="black",shape="box"];31 -> 50[label="",style="solid", color="black", weight=3]; 13.38/5.90 32[label="Just yu401",fontsize=16,color="green",shape="box"];311[label="yu31 == yu4001",fontsize=16,color="burlywood",shape="triangle"];956[label="yu31/yu310 : yu311",fontsize=10,color="white",style="solid",shape="box"];311 -> 956[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 956 -> 315[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 957[label="yu31/[]",fontsize=10,color="white",style="solid",shape="box"];311 -> 957[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 957 -> 316[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 312[label="yu30 == yu4000",fontsize=16,color="blue",shape="box"];958[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 958[label="",style="solid", color="blue", weight=9]; 13.38/5.90 958 -> 317[label="",style="solid", color="blue", weight=3]; 13.38/5.90 959[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 959[label="",style="solid", color="blue", weight=9]; 13.38/5.90 959 -> 318[label="",style="solid", color="blue", weight=3]; 13.38/5.90 960[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 960[label="",style="solid", color="blue", weight=9]; 13.38/5.90 960 -> 319[label="",style="solid", color="blue", weight=3]; 13.38/5.90 961[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 961[label="",style="solid", color="blue", weight=9]; 13.38/5.90 961 -> 320[label="",style="solid", color="blue", weight=3]; 13.38/5.90 962[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 962[label="",style="solid", color="blue", weight=9]; 13.38/5.90 962 -> 321[label="",style="solid", color="blue", weight=3]; 13.38/5.90 963[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 963[label="",style="solid", color="blue", weight=9]; 13.38/5.90 963 -> 322[label="",style="solid", color="blue", weight=3]; 13.38/5.90 964[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 964[label="",style="solid", color="blue", weight=9]; 13.38/5.90 964 -> 323[label="",style="solid", color="blue", weight=3]; 13.38/5.90 965[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 965[label="",style="solid", color="blue", weight=9]; 13.38/5.90 965 -> 324[label="",style="solid", color="blue", weight=3]; 13.38/5.90 966[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 966[label="",style="solid", color="blue", weight=9]; 13.38/5.90 966 -> 325[label="",style="solid", color="blue", weight=3]; 13.38/5.90 967[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 967[label="",style="solid", color="blue", weight=9]; 13.38/5.90 967 -> 326[label="",style="solid", color="blue", weight=3]; 13.38/5.90 968[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 968[label="",style="solid", color="blue", weight=9]; 13.38/5.90 968 -> 327[label="",style="solid", color="blue", weight=3]; 13.38/5.90 969[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 969[label="",style="solid", color="blue", weight=9]; 13.38/5.90 969 -> 328[label="",style="solid", color="blue", weight=3]; 13.38/5.90 970[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 970[label="",style="solid", color="blue", weight=9]; 13.38/5.90 970 -> 329[label="",style="solid", color="blue", weight=3]; 13.38/5.90 971[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 971[label="",style="solid", color="blue", weight=9]; 13.38/5.90 971 -> 330[label="",style="solid", color="blue", weight=3]; 13.38/5.90 310[label="yu32 && yu33",fontsize=16,color="burlywood",shape="triangle"];972[label="yu32/False",fontsize=10,color="white",style="solid",shape="box"];310 -> 972[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 972 -> 331[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 973[label="yu32/True",fontsize=10,color="white",style="solid",shape="box"];310 -> 973[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 973 -> 332[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 126[label="lookup1 (yu13 : yu14) (yu15 : yu16) yu17 yu18 False",fontsize=16,color="black",shape="box"];126 -> 148[label="",style="solid", color="black", weight=3]; 13.38/5.90 127[label="lookup1 (yu13 : yu14) (yu15 : yu16) yu17 yu18 True",fontsize=16,color="black",shape="box"];127 -> 149[label="",style="solid", color="black", weight=3]; 13.38/5.90 49[label="lookup0 (yu30 : yu31) [] yu401 yu41 True",fontsize=16,color="black",shape="box"];49 -> 73[label="",style="solid", color="black", weight=3]; 13.38/5.90 50[label="lookup0 [] (yu4000 : yu4001) yu401 yu41 True",fontsize=16,color="black",shape="box"];50 -> 74[label="",style="solid", color="black", weight=3]; 13.38/5.90 315[label="yu310 : yu311 == yu4001",fontsize=16,color="burlywood",shape="box"];974[label="yu4001/yu40010 : yu40011",fontsize=10,color="white",style="solid",shape="box"];315 -> 974[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 974 -> 333[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 975[label="yu4001/[]",fontsize=10,color="white",style="solid",shape="box"];315 -> 975[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 975 -> 334[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 316[label="[] == yu4001",fontsize=16,color="burlywood",shape="box"];976[label="yu4001/yu40010 : yu40011",fontsize=10,color="white",style="solid",shape="box"];316 -> 976[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 976 -> 335[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 977[label="yu4001/[]",fontsize=10,color="white",style="solid",shape="box"];316 -> 977[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 977 -> 336[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 317[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];978[label="yu30/yu300 :% yu301",fontsize=10,color="white",style="solid",shape="box"];317 -> 978[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 978 -> 337[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 318[label="yu30 == yu4000",fontsize=16,color="black",shape="triangle"];318 -> 338[label="",style="solid", color="black", weight=3]; 13.38/5.90 319[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];979[label="yu30/(yu300,yu301,yu302)",fontsize=10,color="white",style="solid",shape="box"];319 -> 979[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 979 -> 339[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 320[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];980[label="yu30/(yu300,yu301)",fontsize=10,color="white",style="solid",shape="box"];320 -> 980[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 980 -> 340[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 321[label="yu30 == yu4000",fontsize=16,color="black",shape="triangle"];321 -> 341[label="",style="solid", color="black", weight=3]; 13.38/5.90 322[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];981[label="yu30/()",fontsize=10,color="white",style="solid",shape="box"];322 -> 981[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 981 -> 342[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 323[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];982[label="yu30/Integer yu300",fontsize=10,color="white",style="solid",shape="box"];323 -> 982[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 982 -> 343[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 324[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];983[label="yu30/LT",fontsize=10,color="white",style="solid",shape="box"];324 -> 983[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 983 -> 344[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 984[label="yu30/EQ",fontsize=10,color="white",style="solid",shape="box"];324 -> 984[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 984 -> 345[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 985[label="yu30/GT",fontsize=10,color="white",style="solid",shape="box"];324 -> 985[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 985 -> 346[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 325[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];986[label="yu30/False",fontsize=10,color="white",style="solid",shape="box"];325 -> 986[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 986 -> 347[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 987[label="yu30/True",fontsize=10,color="white",style="solid",shape="box"];325 -> 987[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 987 -> 348[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 326[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];988[label="yu30/Left yu300",fontsize=10,color="white",style="solid",shape="box"];326 -> 988[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 988 -> 349[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 989[label="yu30/Right yu300",fontsize=10,color="white",style="solid",shape="box"];326 -> 989[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 989 -> 350[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 327 -> 311[label="",style="dashed", color="red", weight=0]; 13.38/5.90 327[label="yu30 == yu4000",fontsize=16,color="magenta"];327 -> 351[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 327 -> 352[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 328[label="yu30 == yu4000",fontsize=16,color="black",shape="triangle"];328 -> 353[label="",style="solid", color="black", weight=3]; 13.38/5.90 329[label="yu30 == yu4000",fontsize=16,color="black",shape="triangle"];329 -> 354[label="",style="solid", color="black", weight=3]; 13.38/5.90 330[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];990[label="yu30/Nothing",fontsize=10,color="white",style="solid",shape="box"];330 -> 990[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 990 -> 355[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 991[label="yu30/Just yu300",fontsize=10,color="white",style="solid",shape="box"];330 -> 991[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 991 -> 356[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 331[label="False && yu33",fontsize=16,color="black",shape="box"];331 -> 357[label="",style="solid", color="black", weight=3]; 13.38/5.90 332[label="True && yu33",fontsize=16,color="black",shape="box"];332 -> 358[label="",style="solid", color="black", weight=3]; 13.38/5.90 148[label="lookup0 (yu13 : yu14) (yu15 : yu16) yu17 yu18 otherwise",fontsize=16,color="black",shape="box"];148 -> 172[label="",style="solid", color="black", weight=3]; 13.38/5.90 149[label="Just yu17",fontsize=16,color="green",shape="box"];73 -> 4[label="",style="dashed", color="red", weight=0]; 13.38/5.90 73[label="lookup (yu30 : yu31) yu41",fontsize=16,color="magenta"];73 -> 144[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 73 -> 145[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 74 -> 4[label="",style="dashed", color="red", weight=0]; 13.38/5.90 74[label="lookup [] yu41",fontsize=16,color="magenta"];74 -> 146[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 74 -> 147[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 333[label="yu310 : yu311 == yu40010 : yu40011",fontsize=16,color="black",shape="box"];333 -> 359[label="",style="solid", color="black", weight=3]; 13.38/5.90 334[label="yu310 : yu311 == []",fontsize=16,color="black",shape="box"];334 -> 360[label="",style="solid", color="black", weight=3]; 13.38/5.90 335[label="[] == yu40010 : yu40011",fontsize=16,color="black",shape="box"];335 -> 361[label="",style="solid", color="black", weight=3]; 13.38/5.90 336[label="[] == []",fontsize=16,color="black",shape="box"];336 -> 362[label="",style="solid", color="black", weight=3]; 13.38/5.90 337[label="yu300 :% yu301 == yu4000",fontsize=16,color="burlywood",shape="box"];992[label="yu4000/yu40000 :% yu40001",fontsize=10,color="white",style="solid",shape="box"];337 -> 992[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 992 -> 363[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 338[label="primEqFloat yu30 yu4000",fontsize=16,color="burlywood",shape="box"];993[label="yu30/Float yu300 yu301",fontsize=10,color="white",style="solid",shape="box"];338 -> 993[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 993 -> 364[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 339[label="(yu300,yu301,yu302) == yu4000",fontsize=16,color="burlywood",shape="box"];994[label="yu4000/(yu40000,yu40001,yu40002)",fontsize=10,color="white",style="solid",shape="box"];339 -> 994[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 994 -> 365[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 340[label="(yu300,yu301) == yu4000",fontsize=16,color="burlywood",shape="box"];995[label="yu4000/(yu40000,yu40001)",fontsize=10,color="white",style="solid",shape="box"];340 -> 995[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 995 -> 366[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 341[label="primEqDouble yu30 yu4000",fontsize=16,color="burlywood",shape="box"];996[label="yu30/Double yu300 yu301",fontsize=10,color="white",style="solid",shape="box"];341 -> 996[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 996 -> 367[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 342[label="() == yu4000",fontsize=16,color="burlywood",shape="box"];997[label="yu4000/()",fontsize=10,color="white",style="solid",shape="box"];342 -> 997[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 997 -> 368[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 343[label="Integer yu300 == yu4000",fontsize=16,color="burlywood",shape="box"];998[label="yu4000/Integer yu40000",fontsize=10,color="white",style="solid",shape="box"];343 -> 998[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 998 -> 369[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 344[label="LT == yu4000",fontsize=16,color="burlywood",shape="box"];999[label="yu4000/LT",fontsize=10,color="white",style="solid",shape="box"];344 -> 999[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 999 -> 370[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 1000[label="yu4000/EQ",fontsize=10,color="white",style="solid",shape="box"];344 -> 1000[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1000 -> 371[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 1001[label="yu4000/GT",fontsize=10,color="white",style="solid",shape="box"];344 -> 1001[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1001 -> 372[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 345[label="EQ == yu4000",fontsize=16,color="burlywood",shape="box"];1002[label="yu4000/LT",fontsize=10,color="white",style="solid",shape="box"];345 -> 1002[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1002 -> 373[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 1003[label="yu4000/EQ",fontsize=10,color="white",style="solid",shape="box"];345 -> 1003[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1003 -> 374[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 1004[label="yu4000/GT",fontsize=10,color="white",style="solid",shape="box"];345 -> 1004[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1004 -> 375[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 346[label="GT == yu4000",fontsize=16,color="burlywood",shape="box"];1005[label="yu4000/LT",fontsize=10,color="white",style="solid",shape="box"];346 -> 1005[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1005 -> 376[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 1006[label="yu4000/EQ",fontsize=10,color="white",style="solid",shape="box"];346 -> 1006[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1006 -> 377[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 1007[label="yu4000/GT",fontsize=10,color="white",style="solid",shape="box"];346 -> 1007[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1007 -> 378[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 347[label="False == yu4000",fontsize=16,color="burlywood",shape="box"];1008[label="yu4000/False",fontsize=10,color="white",style="solid",shape="box"];347 -> 1008[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1008 -> 379[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 1009[label="yu4000/True",fontsize=10,color="white",style="solid",shape="box"];347 -> 1009[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1009 -> 380[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 348[label="True == yu4000",fontsize=16,color="burlywood",shape="box"];1010[label="yu4000/False",fontsize=10,color="white",style="solid",shape="box"];348 -> 1010[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1010 -> 381[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 1011[label="yu4000/True",fontsize=10,color="white",style="solid",shape="box"];348 -> 1011[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1011 -> 382[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 349[label="Left yu300 == yu4000",fontsize=16,color="burlywood",shape="box"];1012[label="yu4000/Left yu40000",fontsize=10,color="white",style="solid",shape="box"];349 -> 1012[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1012 -> 383[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 1013[label="yu4000/Right yu40000",fontsize=10,color="white",style="solid",shape="box"];349 -> 1013[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1013 -> 384[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 350[label="Right yu300 == yu4000",fontsize=16,color="burlywood",shape="box"];1014[label="yu4000/Left yu40000",fontsize=10,color="white",style="solid",shape="box"];350 -> 1014[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1014 -> 385[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 1015[label="yu4000/Right yu40000",fontsize=10,color="white",style="solid",shape="box"];350 -> 1015[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1015 -> 386[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 351[label="yu4000",fontsize=16,color="green",shape="box"];352[label="yu30",fontsize=16,color="green",shape="box"];353[label="primEqChar yu30 yu4000",fontsize=16,color="burlywood",shape="box"];1016[label="yu30/Char yu300",fontsize=10,color="white",style="solid",shape="box"];353 -> 1016[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1016 -> 387[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 354[label="primEqInt yu30 yu4000",fontsize=16,color="burlywood",shape="triangle"];1017[label="yu30/Pos yu300",fontsize=10,color="white",style="solid",shape="box"];354 -> 1017[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1017 -> 388[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 1018[label="yu30/Neg yu300",fontsize=10,color="white",style="solid",shape="box"];354 -> 1018[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1018 -> 389[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 355[label="Nothing == yu4000",fontsize=16,color="burlywood",shape="box"];1019[label="yu4000/Nothing",fontsize=10,color="white",style="solid",shape="box"];355 -> 1019[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1019 -> 390[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 1020[label="yu4000/Just yu40000",fontsize=10,color="white",style="solid",shape="box"];355 -> 1020[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1020 -> 391[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 356[label="Just yu300 == yu4000",fontsize=16,color="burlywood",shape="box"];1021[label="yu4000/Nothing",fontsize=10,color="white",style="solid",shape="box"];356 -> 1021[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1021 -> 392[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 1022[label="yu4000/Just yu40000",fontsize=10,color="white",style="solid",shape="box"];356 -> 1022[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1022 -> 393[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 357[label="False",fontsize=16,color="green",shape="box"];358[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]; 13.38/5.90 144[label="yu41",fontsize=16,color="green",shape="box"];145[label="yu30 : yu31",fontsize=16,color="green",shape="box"];146[label="yu41",fontsize=16,color="green",shape="box"];147[label="[]",fontsize=16,color="green",shape="box"];359 -> 310[label="",style="dashed", color="red", weight=0]; 13.38/5.90 359[label="yu310 == yu40010 && yu311 == yu40011",fontsize=16,color="magenta"];359 -> 394[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 359 -> 395[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 360[label="False",fontsize=16,color="green",shape="box"];361[label="False",fontsize=16,color="green",shape="box"];362[label="True",fontsize=16,color="green",shape="box"];363[label="yu300 :% yu301 == yu40000 :% yu40001",fontsize=16,color="black",shape="box"];363 -> 396[label="",style="solid", color="black", weight=3]; 13.38/5.90 364[label="primEqFloat (Float yu300 yu301) yu4000",fontsize=16,color="burlywood",shape="box"];1023[label="yu4000/Float yu40000 yu40001",fontsize=10,color="white",style="solid",shape="box"];364 -> 1023[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1023 -> 397[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 365[label="(yu300,yu301,yu302) == (yu40000,yu40001,yu40002)",fontsize=16,color="black",shape="box"];365 -> 398[label="",style="solid", color="black", weight=3]; 13.38/5.90 366[label="(yu300,yu301) == (yu40000,yu40001)",fontsize=16,color="black",shape="box"];366 -> 399[label="",style="solid", color="black", weight=3]; 13.38/5.90 367[label="primEqDouble (Double yu300 yu301) yu4000",fontsize=16,color="burlywood",shape="box"];1024[label="yu4000/Double yu40000 yu40001",fontsize=10,color="white",style="solid",shape="box"];367 -> 1024[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1024 -> 400[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 368[label="() == ()",fontsize=16,color="black",shape="box"];368 -> 401[label="",style="solid", color="black", weight=3]; 13.38/5.90 369[label="Integer yu300 == Integer yu40000",fontsize=16,color="black",shape="box"];369 -> 402[label="",style="solid", color="black", weight=3]; 13.38/5.90 370[label="LT == LT",fontsize=16,color="black",shape="box"];370 -> 403[label="",style="solid", color="black", weight=3]; 13.38/5.90 371[label="LT == EQ",fontsize=16,color="black",shape="box"];371 -> 404[label="",style="solid", color="black", weight=3]; 13.38/5.90 372[label="LT == GT",fontsize=16,color="black",shape="box"];372 -> 405[label="",style="solid", color="black", weight=3]; 13.38/5.90 373[label="EQ == LT",fontsize=16,color="black",shape="box"];373 -> 406[label="",style="solid", color="black", weight=3]; 13.38/5.90 374[label="EQ == EQ",fontsize=16,color="black",shape="box"];374 -> 407[label="",style="solid", color="black", weight=3]; 13.38/5.90 375[label="EQ == GT",fontsize=16,color="black",shape="box"];375 -> 408[label="",style="solid", color="black", weight=3]; 13.38/5.90 376[label="GT == LT",fontsize=16,color="black",shape="box"];376 -> 409[label="",style="solid", color="black", weight=3]; 13.38/5.90 377[label="GT == EQ",fontsize=16,color="black",shape="box"];377 -> 410[label="",style="solid", color="black", weight=3]; 13.38/5.90 378[label="GT == GT",fontsize=16,color="black",shape="box"];378 -> 411[label="",style="solid", color="black", weight=3]; 13.38/5.90 379[label="False == False",fontsize=16,color="black",shape="box"];379 -> 412[label="",style="solid", color="black", weight=3]; 13.38/5.90 380[label="False == True",fontsize=16,color="black",shape="box"];380 -> 413[label="",style="solid", color="black", weight=3]; 13.38/5.90 381[label="True == False",fontsize=16,color="black",shape="box"];381 -> 414[label="",style="solid", color="black", weight=3]; 13.38/5.90 382[label="True == True",fontsize=16,color="black",shape="box"];382 -> 415[label="",style="solid", color="black", weight=3]; 13.38/5.90 383[label="Left yu300 == Left yu40000",fontsize=16,color="black",shape="box"];383 -> 416[label="",style="solid", color="black", weight=3]; 13.38/5.90 384[label="Left yu300 == Right yu40000",fontsize=16,color="black",shape="box"];384 -> 417[label="",style="solid", color="black", weight=3]; 13.38/5.90 385[label="Right yu300 == Left yu40000",fontsize=16,color="black",shape="box"];385 -> 418[label="",style="solid", color="black", weight=3]; 13.38/5.90 386[label="Right yu300 == Right yu40000",fontsize=16,color="black",shape="box"];386 -> 419[label="",style="solid", color="black", weight=3]; 13.38/5.90 387[label="primEqChar (Char yu300) yu4000",fontsize=16,color="burlywood",shape="box"];1025[label="yu4000/Char yu40000",fontsize=10,color="white",style="solid",shape="box"];387 -> 1025[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1025 -> 420[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 388[label="primEqInt (Pos yu300) yu4000",fontsize=16,color="burlywood",shape="box"];1026[label="yu300/Succ yu3000",fontsize=10,color="white",style="solid",shape="box"];388 -> 1026[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1026 -> 421[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 1027[label="yu300/Zero",fontsize=10,color="white",style="solid",shape="box"];388 -> 1027[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1027 -> 422[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 389[label="primEqInt (Neg yu300) yu4000",fontsize=16,color="burlywood",shape="box"];1028[label="yu300/Succ yu3000",fontsize=10,color="white",style="solid",shape="box"];389 -> 1028[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1028 -> 423[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 1029[label="yu300/Zero",fontsize=10,color="white",style="solid",shape="box"];389 -> 1029[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1029 -> 424[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 390[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];390 -> 425[label="",style="solid", color="black", weight=3]; 13.38/5.90 391[label="Nothing == Just yu40000",fontsize=16,color="black",shape="box"];391 -> 426[label="",style="solid", color="black", weight=3]; 13.38/5.90 392[label="Just yu300 == Nothing",fontsize=16,color="black",shape="box"];392 -> 427[label="",style="solid", color="black", weight=3]; 13.38/5.90 393[label="Just yu300 == Just yu40000",fontsize=16,color="black",shape="box"];393 -> 428[label="",style="solid", color="black", weight=3]; 13.38/5.90 222 -> 4[label="",style="dashed", color="red", weight=0]; 13.38/5.90 222[label="lookup (yu13 : yu14) yu18",fontsize=16,color="magenta"];222 -> 288[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 222 -> 289[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 394 -> 311[label="",style="dashed", color="red", weight=0]; 13.38/5.90 394[label="yu311 == yu40011",fontsize=16,color="magenta"];394 -> 429[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 394 -> 430[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 395[label="yu310 == yu40010",fontsize=16,color="blue",shape="box"];1030[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];395 -> 1030[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1030 -> 431[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1031[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];395 -> 1031[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1031 -> 432[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1032[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];395 -> 1032[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1032 -> 433[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1033[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];395 -> 1033[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1033 -> 434[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1034[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];395 -> 1034[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1034 -> 435[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1035[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];395 -> 1035[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1035 -> 436[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1036[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];395 -> 1036[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1036 -> 437[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1037[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];395 -> 1037[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1037 -> 438[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1038[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];395 -> 1038[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1038 -> 439[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1039[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];395 -> 1039[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1039 -> 440[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1040[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];395 -> 1040[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1040 -> 441[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1041[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];395 -> 1041[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1041 -> 442[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1042[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];395 -> 1042[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1042 -> 443[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1043[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];395 -> 1043[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1043 -> 444[label="",style="solid", color="blue", weight=3]; 13.38/5.90 396 -> 310[label="",style="dashed", color="red", weight=0]; 13.38/5.90 396[label="yu300 == yu40000 && yu301 == yu40001",fontsize=16,color="magenta"];396 -> 445[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 396 -> 446[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 397[label="primEqFloat (Float yu300 yu301) (Float yu40000 yu40001)",fontsize=16,color="black",shape="box"];397 -> 447[label="",style="solid", color="black", weight=3]; 13.38/5.90 398 -> 310[label="",style="dashed", color="red", weight=0]; 13.38/5.90 398[label="yu300 == yu40000 && yu301 == yu40001 && yu302 == yu40002",fontsize=16,color="magenta"];398 -> 448[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 398 -> 449[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 399 -> 310[label="",style="dashed", color="red", weight=0]; 13.38/5.90 399[label="yu300 == yu40000 && yu301 == yu40001",fontsize=16,color="magenta"];399 -> 450[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 399 -> 451[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 400[label="primEqDouble (Double yu300 yu301) (Double yu40000 yu40001)",fontsize=16,color="black",shape="box"];400 -> 452[label="",style="solid", color="black", weight=3]; 13.38/5.90 401[label="True",fontsize=16,color="green",shape="box"];402 -> 354[label="",style="dashed", color="red", weight=0]; 13.38/5.90 402[label="primEqInt yu300 yu40000",fontsize=16,color="magenta"];402 -> 453[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 402 -> 454[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 403[label="True",fontsize=16,color="green",shape="box"];404[label="False",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="True",fontsize=16,color="green",shape="box"];408[label="False",fontsize=16,color="green",shape="box"];409[label="False",fontsize=16,color="green",shape="box"];410[label="False",fontsize=16,color="green",shape="box"];411[label="True",fontsize=16,color="green",shape="box"];412[label="True",fontsize=16,color="green",shape="box"];413[label="False",fontsize=16,color="green",shape="box"];414[label="False",fontsize=16,color="green",shape="box"];415[label="True",fontsize=16,color="green",shape="box"];416[label="yu300 == yu40000",fontsize=16,color="blue",shape="box"];1044[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];416 -> 1044[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1044 -> 455[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1045[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];416 -> 1045[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1045 -> 456[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1046[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];416 -> 1046[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1046 -> 457[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1047[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];416 -> 1047[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1047 -> 458[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1048[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];416 -> 1048[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1048 -> 459[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1049[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];416 -> 1049[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1049 -> 460[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1050[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];416 -> 1050[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1050 -> 461[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1051[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];416 -> 1051[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1051 -> 462[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1052[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];416 -> 1052[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1052 -> 463[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1053[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];416 -> 1053[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1053 -> 464[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1054[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];416 -> 1054[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1054 -> 465[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1055[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];416 -> 1055[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1055 -> 466[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1056[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];416 -> 1056[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1056 -> 467[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1057[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];416 -> 1057[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1057 -> 468[label="",style="solid", color="blue", weight=3]; 13.38/5.90 417[label="False",fontsize=16,color="green",shape="box"];418[label="False",fontsize=16,color="green",shape="box"];419[label="yu300 == yu40000",fontsize=16,color="blue",shape="box"];1058[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];419 -> 1058[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1058 -> 469[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1059[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];419 -> 1059[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1059 -> 470[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1060[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];419 -> 1060[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1060 -> 471[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1061[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];419 -> 1061[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1061 -> 472[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1062[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];419 -> 1062[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1062 -> 473[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1063[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];419 -> 1063[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1063 -> 474[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1064[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];419 -> 1064[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1064 -> 475[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1065[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];419 -> 1065[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1065 -> 476[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1066[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];419 -> 1066[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1066 -> 477[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1067[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];419 -> 1067[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1067 -> 478[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1068[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];419 -> 1068[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1068 -> 479[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1069[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];419 -> 1069[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1069 -> 480[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1070[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];419 -> 1070[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1070 -> 481[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1071[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];419 -> 1071[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1071 -> 482[label="",style="solid", color="blue", weight=3]; 13.38/5.90 420[label="primEqChar (Char yu300) (Char yu40000)",fontsize=16,color="black",shape="box"];420 -> 483[label="",style="solid", color="black", weight=3]; 13.38/5.90 421[label="primEqInt (Pos (Succ yu3000)) yu4000",fontsize=16,color="burlywood",shape="box"];1072[label="yu4000/Pos yu40000",fontsize=10,color="white",style="solid",shape="box"];421 -> 1072[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1072 -> 484[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 1073[label="yu4000/Neg yu40000",fontsize=10,color="white",style="solid",shape="box"];421 -> 1073[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1073 -> 485[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 422[label="primEqInt (Pos Zero) yu4000",fontsize=16,color="burlywood",shape="box"];1074[label="yu4000/Pos yu40000",fontsize=10,color="white",style="solid",shape="box"];422 -> 1074[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1074 -> 486[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 1075[label="yu4000/Neg yu40000",fontsize=10,color="white",style="solid",shape="box"];422 -> 1075[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1075 -> 487[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 423[label="primEqInt (Neg (Succ yu3000)) yu4000",fontsize=16,color="burlywood",shape="box"];1076[label="yu4000/Pos yu40000",fontsize=10,color="white",style="solid",shape="box"];423 -> 1076[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1076 -> 488[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 1077[label="yu4000/Neg yu40000",fontsize=10,color="white",style="solid",shape="box"];423 -> 1077[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1077 -> 489[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 424[label="primEqInt (Neg Zero) yu4000",fontsize=16,color="burlywood",shape="box"];1078[label="yu4000/Pos yu40000",fontsize=10,color="white",style="solid",shape="box"];424 -> 1078[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1078 -> 490[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 1079[label="yu4000/Neg yu40000",fontsize=10,color="white",style="solid",shape="box"];424 -> 1079[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1079 -> 491[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 425[label="True",fontsize=16,color="green",shape="box"];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"];1080[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1080[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1080 -> 492[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1081[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1081[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1081 -> 493[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1082[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1082[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1082 -> 494[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1083[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1083[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1083 -> 495[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1084[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1084[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1084 -> 496[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1085[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1085[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1085 -> 497[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1086[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1086[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1086 -> 498[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1087[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1087[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1087 -> 499[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1088[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1088[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1088 -> 500[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1089[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1089[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1089 -> 501[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1090[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1090[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1090 -> 502[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1091[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1091[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1091 -> 503[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1092[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1092[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1092 -> 504[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1093[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1093[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1093 -> 505[label="",style="solid", color="blue", weight=3]; 13.38/5.90 288[label="yu18",fontsize=16,color="green",shape="box"];289[label="yu13 : yu14",fontsize=16,color="green",shape="box"];429[label="yu40011",fontsize=16,color="green",shape="box"];430[label="yu311",fontsize=16,color="green",shape="box"];431 -> 317[label="",style="dashed", color="red", weight=0]; 13.38/5.90 431[label="yu310 == yu40010",fontsize=16,color="magenta"];431 -> 506[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 431 -> 507[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 432 -> 318[label="",style="dashed", color="red", weight=0]; 13.38/5.90 432[label="yu310 == yu40010",fontsize=16,color="magenta"];432 -> 508[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 432 -> 509[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 433 -> 319[label="",style="dashed", color="red", weight=0]; 13.38/5.90 433[label="yu310 == yu40010",fontsize=16,color="magenta"];433 -> 510[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 433 -> 511[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 434 -> 320[label="",style="dashed", color="red", weight=0]; 13.38/5.90 434[label="yu310 == yu40010",fontsize=16,color="magenta"];434 -> 512[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 434 -> 513[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 435 -> 321[label="",style="dashed", color="red", weight=0]; 13.38/5.90 435[label="yu310 == yu40010",fontsize=16,color="magenta"];435 -> 514[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 435 -> 515[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 436 -> 322[label="",style="dashed", color="red", weight=0]; 13.38/5.90 436[label="yu310 == yu40010",fontsize=16,color="magenta"];436 -> 516[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 436 -> 517[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 437 -> 323[label="",style="dashed", color="red", weight=0]; 13.38/5.90 437[label="yu310 == yu40010",fontsize=16,color="magenta"];437 -> 518[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 437 -> 519[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 438 -> 324[label="",style="dashed", color="red", weight=0]; 13.38/5.90 438[label="yu310 == yu40010",fontsize=16,color="magenta"];438 -> 520[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 438 -> 521[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 439 -> 325[label="",style="dashed", color="red", weight=0]; 13.38/5.90 439[label="yu310 == yu40010",fontsize=16,color="magenta"];439 -> 522[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 439 -> 523[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 440 -> 326[label="",style="dashed", color="red", weight=0]; 13.38/5.90 440[label="yu310 == yu40010",fontsize=16,color="magenta"];440 -> 524[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 440 -> 525[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 441 -> 311[label="",style="dashed", color="red", weight=0]; 13.38/5.90 441[label="yu310 == yu40010",fontsize=16,color="magenta"];441 -> 526[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 441 -> 527[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 442 -> 328[label="",style="dashed", color="red", weight=0]; 13.38/5.90 442[label="yu310 == yu40010",fontsize=16,color="magenta"];442 -> 528[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 442 -> 529[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 443 -> 329[label="",style="dashed", color="red", weight=0]; 13.38/5.90 443[label="yu310 == yu40010",fontsize=16,color="magenta"];443 -> 530[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 443 -> 531[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 444 -> 330[label="",style="dashed", color="red", weight=0]; 13.38/5.90 444[label="yu310 == yu40010",fontsize=16,color="magenta"];444 -> 532[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 444 -> 533[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 445[label="yu301 == yu40001",fontsize=16,color="blue",shape="box"];1094[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];445 -> 1094[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1094 -> 534[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1095[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];445 -> 1095[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1095 -> 535[label="",style="solid", color="blue", weight=3]; 13.38/5.90 446[label="yu300 == yu40000",fontsize=16,color="blue",shape="box"];1096[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];446 -> 1096[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1096 -> 536[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1097[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];446 -> 1097[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1097 -> 537[label="",style="solid", color="blue", weight=3]; 13.38/5.90 447 -> 329[label="",style="dashed", color="red", weight=0]; 13.38/5.90 447[label="yu300 * yu40001 == yu301 * yu40000",fontsize=16,color="magenta"];447 -> 538[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 447 -> 539[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 448 -> 310[label="",style="dashed", color="red", weight=0]; 13.38/5.90 448[label="yu301 == yu40001 && yu302 == yu40002",fontsize=16,color="magenta"];448 -> 540[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 448 -> 541[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 449[label="yu300 == yu40000",fontsize=16,color="blue",shape="box"];1098[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];449 -> 1098[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1098 -> 542[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1099[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];449 -> 1099[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1099 -> 543[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1100[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];449 -> 1100[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1100 -> 544[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1101[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];449 -> 1101[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1101 -> 545[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1102[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];449 -> 1102[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1102 -> 546[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1103[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];449 -> 1103[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1103 -> 547[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1104[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];449 -> 1104[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1104 -> 548[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1105[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];449 -> 1105[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1105 -> 549[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1106[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];449 -> 1106[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1106 -> 550[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1107[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];449 -> 1107[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1107 -> 551[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1108[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];449 -> 1108[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1108 -> 552[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1109[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];449 -> 1109[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1109 -> 553[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1110[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];449 -> 1110[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1110 -> 554[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1111[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];449 -> 1111[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1111 -> 555[label="",style="solid", color="blue", weight=3]; 13.38/5.90 450[label="yu301 == yu40001",fontsize=16,color="blue",shape="box"];1112[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];450 -> 1112[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1112 -> 556[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1113[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];450 -> 1113[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1113 -> 557[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1114[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];450 -> 1114[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1114 -> 558[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1115[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];450 -> 1115[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1115 -> 559[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1116[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];450 -> 1116[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1116 -> 560[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1117[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];450 -> 1117[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1117 -> 561[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1118[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];450 -> 1118[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1118 -> 562[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1119[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];450 -> 1119[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1119 -> 563[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1120[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];450 -> 1120[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1120 -> 564[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1121[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];450 -> 1121[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1121 -> 565[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1122[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];450 -> 1122[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1122 -> 566[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1123[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];450 -> 1123[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1123 -> 567[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1124[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];450 -> 1124[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1124 -> 568[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1125[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];450 -> 1125[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1125 -> 569[label="",style="solid", color="blue", weight=3]; 13.38/5.90 451[label="yu300 == yu40000",fontsize=16,color="blue",shape="box"];1126[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1126[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1126 -> 570[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1127[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1127[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1127 -> 571[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1128[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1128[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1128 -> 572[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1129[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1129[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1129 -> 573[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1130[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1130[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1130 -> 574[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1131[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1131[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1131 -> 575[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1132[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1132[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1132 -> 576[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1133[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1133[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1133 -> 577[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1134[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1134[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1134 -> 578[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1135[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1135[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1135 -> 579[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1136[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1136[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1136 -> 580[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1137[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1137[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1137 -> 581[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1138[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1138[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1138 -> 582[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1139[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1139[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1139 -> 583[label="",style="solid", color="blue", weight=3]; 13.38/5.90 452 -> 329[label="",style="dashed", color="red", weight=0]; 13.38/5.90 452[label="yu300 * yu40001 == yu301 * yu40000",fontsize=16,color="magenta"];452 -> 584[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 452 -> 585[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 453[label="yu300",fontsize=16,color="green",shape="box"];454[label="yu40000",fontsize=16,color="green",shape="box"];455 -> 317[label="",style="dashed", color="red", weight=0]; 13.38/5.90 455[label="yu300 == yu40000",fontsize=16,color="magenta"];455 -> 586[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 455 -> 587[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 456 -> 318[label="",style="dashed", color="red", weight=0]; 13.38/5.90 456[label="yu300 == yu40000",fontsize=16,color="magenta"];456 -> 588[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 456 -> 589[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 457 -> 319[label="",style="dashed", color="red", weight=0]; 13.38/5.90 457[label="yu300 == yu40000",fontsize=16,color="magenta"];457 -> 590[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 457 -> 591[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 458 -> 320[label="",style="dashed", color="red", weight=0]; 13.38/5.90 458[label="yu300 == yu40000",fontsize=16,color="magenta"];458 -> 592[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 458 -> 593[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 459 -> 321[label="",style="dashed", color="red", weight=0]; 13.38/5.90 459[label="yu300 == yu40000",fontsize=16,color="magenta"];459 -> 594[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 459 -> 595[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 460 -> 322[label="",style="dashed", color="red", weight=0]; 13.38/5.90 460[label="yu300 == yu40000",fontsize=16,color="magenta"];460 -> 596[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 460 -> 597[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 461 -> 323[label="",style="dashed", color="red", weight=0]; 13.38/5.90 461[label="yu300 == yu40000",fontsize=16,color="magenta"];461 -> 598[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 461 -> 599[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 462 -> 324[label="",style="dashed", color="red", weight=0]; 13.38/5.90 462[label="yu300 == yu40000",fontsize=16,color="magenta"];462 -> 600[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 462 -> 601[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 463 -> 325[label="",style="dashed", color="red", weight=0]; 13.38/5.90 463[label="yu300 == yu40000",fontsize=16,color="magenta"];463 -> 602[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 463 -> 603[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 464 -> 326[label="",style="dashed", color="red", weight=0]; 13.38/5.90 464[label="yu300 == yu40000",fontsize=16,color="magenta"];464 -> 604[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 464 -> 605[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 465 -> 311[label="",style="dashed", color="red", weight=0]; 13.38/5.90 465[label="yu300 == yu40000",fontsize=16,color="magenta"];465 -> 606[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 465 -> 607[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 466 -> 328[label="",style="dashed", color="red", weight=0]; 13.38/5.90 466[label="yu300 == yu40000",fontsize=16,color="magenta"];466 -> 608[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 466 -> 609[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 467 -> 329[label="",style="dashed", color="red", weight=0]; 13.38/5.90 467[label="yu300 == yu40000",fontsize=16,color="magenta"];467 -> 610[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 467 -> 611[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 468 -> 330[label="",style="dashed", color="red", weight=0]; 13.38/5.90 468[label="yu300 == yu40000",fontsize=16,color="magenta"];468 -> 612[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 468 -> 613[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 469 -> 317[label="",style="dashed", color="red", weight=0]; 13.38/5.90 469[label="yu300 == yu40000",fontsize=16,color="magenta"];469 -> 614[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 469 -> 615[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 470 -> 318[label="",style="dashed", color="red", weight=0]; 13.38/5.90 470[label="yu300 == yu40000",fontsize=16,color="magenta"];470 -> 616[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 470 -> 617[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 471 -> 319[label="",style="dashed", color="red", weight=0]; 13.38/5.90 471[label="yu300 == yu40000",fontsize=16,color="magenta"];471 -> 618[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 471 -> 619[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 472 -> 320[label="",style="dashed", color="red", weight=0]; 13.38/5.90 472[label="yu300 == yu40000",fontsize=16,color="magenta"];472 -> 620[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 472 -> 621[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 473 -> 321[label="",style="dashed", color="red", weight=0]; 13.38/5.90 473[label="yu300 == yu40000",fontsize=16,color="magenta"];473 -> 622[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 473 -> 623[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 474 -> 322[label="",style="dashed", color="red", weight=0]; 13.38/5.90 474[label="yu300 == yu40000",fontsize=16,color="magenta"];474 -> 624[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 474 -> 625[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 475 -> 323[label="",style="dashed", color="red", weight=0]; 13.38/5.90 475[label="yu300 == yu40000",fontsize=16,color="magenta"];475 -> 626[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 475 -> 627[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 476 -> 324[label="",style="dashed", color="red", weight=0]; 13.38/5.90 476[label="yu300 == yu40000",fontsize=16,color="magenta"];476 -> 628[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 476 -> 629[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 477 -> 325[label="",style="dashed", color="red", weight=0]; 13.38/5.90 477[label="yu300 == yu40000",fontsize=16,color="magenta"];477 -> 630[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 477 -> 631[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 478 -> 326[label="",style="dashed", color="red", weight=0]; 13.38/5.90 478[label="yu300 == yu40000",fontsize=16,color="magenta"];478 -> 632[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 478 -> 633[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 479 -> 311[label="",style="dashed", color="red", weight=0]; 13.38/5.90 479[label="yu300 == yu40000",fontsize=16,color="magenta"];479 -> 634[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 479 -> 635[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 480 -> 328[label="",style="dashed", color="red", weight=0]; 13.38/5.90 480[label="yu300 == yu40000",fontsize=16,color="magenta"];480 -> 636[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 480 -> 637[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 481 -> 329[label="",style="dashed", color="red", weight=0]; 13.38/5.90 481[label="yu300 == yu40000",fontsize=16,color="magenta"];481 -> 638[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 481 -> 639[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 482 -> 330[label="",style="dashed", color="red", weight=0]; 13.38/5.90 482[label="yu300 == yu40000",fontsize=16,color="magenta"];482 -> 640[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 482 -> 641[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 483[label="primEqNat yu300 yu40000",fontsize=16,color="burlywood",shape="triangle"];1140[label="yu300/Succ yu3000",fontsize=10,color="white",style="solid",shape="box"];483 -> 1140[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1140 -> 642[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 1141[label="yu300/Zero",fontsize=10,color="white",style="solid",shape="box"];483 -> 1141[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1141 -> 643[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 484[label="primEqInt (Pos (Succ yu3000)) (Pos yu40000)",fontsize=16,color="burlywood",shape="box"];1142[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];484 -> 1142[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1142 -> 644[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 1143[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];484 -> 1143[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1143 -> 645[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 485[label="primEqInt (Pos (Succ yu3000)) (Neg yu40000)",fontsize=16,color="black",shape="box"];485 -> 646[label="",style="solid", color="black", weight=3]; 13.38/5.90 486[label="primEqInt (Pos Zero) (Pos yu40000)",fontsize=16,color="burlywood",shape="box"];1144[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];486 -> 1144[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1144 -> 647[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 1145[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];486 -> 1145[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1145 -> 648[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 487[label="primEqInt (Pos Zero) (Neg yu40000)",fontsize=16,color="burlywood",shape="box"];1146[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];487 -> 1146[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1146 -> 649[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 1147[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];487 -> 1147[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1147 -> 650[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 488[label="primEqInt (Neg (Succ yu3000)) (Pos yu40000)",fontsize=16,color="black",shape="box"];488 -> 651[label="",style="solid", color="black", weight=3]; 13.38/5.90 489[label="primEqInt (Neg (Succ yu3000)) (Neg yu40000)",fontsize=16,color="burlywood",shape="box"];1148[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];489 -> 1148[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1148 -> 652[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 1149[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];489 -> 1149[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1149 -> 653[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 490[label="primEqInt (Neg Zero) (Pos yu40000)",fontsize=16,color="burlywood",shape="box"];1150[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];490 -> 1150[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1150 -> 654[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 1151[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];490 -> 1151[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1151 -> 655[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 491[label="primEqInt (Neg Zero) (Neg yu40000)",fontsize=16,color="burlywood",shape="box"];1152[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];491 -> 1152[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1152 -> 656[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 1153[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];491 -> 1153[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1153 -> 657[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 492 -> 317[label="",style="dashed", color="red", weight=0]; 13.38/5.90 492[label="yu300 == yu40000",fontsize=16,color="magenta"];492 -> 658[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 492 -> 659[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 493 -> 318[label="",style="dashed", color="red", weight=0]; 13.38/5.90 493[label="yu300 == yu40000",fontsize=16,color="magenta"];493 -> 660[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 493 -> 661[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 494 -> 319[label="",style="dashed", color="red", weight=0]; 13.38/5.90 494[label="yu300 == yu40000",fontsize=16,color="magenta"];494 -> 662[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 494 -> 663[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 495 -> 320[label="",style="dashed", color="red", weight=0]; 13.38/5.90 495[label="yu300 == yu40000",fontsize=16,color="magenta"];495 -> 664[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 495 -> 665[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 496 -> 321[label="",style="dashed", color="red", weight=0]; 13.38/5.90 496[label="yu300 == yu40000",fontsize=16,color="magenta"];496 -> 666[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 496 -> 667[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 497 -> 322[label="",style="dashed", color="red", weight=0]; 13.38/5.90 497[label="yu300 == yu40000",fontsize=16,color="magenta"];497 -> 668[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 497 -> 669[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 498 -> 323[label="",style="dashed", color="red", weight=0]; 13.38/5.90 498[label="yu300 == yu40000",fontsize=16,color="magenta"];498 -> 670[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 498 -> 671[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 499 -> 324[label="",style="dashed", color="red", weight=0]; 13.38/5.90 499[label="yu300 == yu40000",fontsize=16,color="magenta"];499 -> 672[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 499 -> 673[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 500 -> 325[label="",style="dashed", color="red", weight=0]; 13.38/5.90 500[label="yu300 == yu40000",fontsize=16,color="magenta"];500 -> 674[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 500 -> 675[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 501 -> 326[label="",style="dashed", color="red", weight=0]; 13.38/5.90 501[label="yu300 == yu40000",fontsize=16,color="magenta"];501 -> 676[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 501 -> 677[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 502 -> 311[label="",style="dashed", color="red", weight=0]; 13.38/5.90 502[label="yu300 == yu40000",fontsize=16,color="magenta"];502 -> 678[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 502 -> 679[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 503 -> 328[label="",style="dashed", color="red", weight=0]; 13.38/5.90 503[label="yu300 == yu40000",fontsize=16,color="magenta"];503 -> 680[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 503 -> 681[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 504 -> 329[label="",style="dashed", color="red", weight=0]; 13.38/5.90 504[label="yu300 == yu40000",fontsize=16,color="magenta"];504 -> 682[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 504 -> 683[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 505 -> 330[label="",style="dashed", color="red", weight=0]; 13.38/5.90 505[label="yu300 == yu40000",fontsize=16,color="magenta"];505 -> 684[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 505 -> 685[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 506[label="yu310",fontsize=16,color="green",shape="box"];507[label="yu40010",fontsize=16,color="green",shape="box"];508[label="yu310",fontsize=16,color="green",shape="box"];509[label="yu40010",fontsize=16,color="green",shape="box"];510[label="yu310",fontsize=16,color="green",shape="box"];511[label="yu40010",fontsize=16,color="green",shape="box"];512[label="yu310",fontsize=16,color="green",shape="box"];513[label="yu40010",fontsize=16,color="green",shape="box"];514[label="yu310",fontsize=16,color="green",shape="box"];515[label="yu40010",fontsize=16,color="green",shape="box"];516[label="yu310",fontsize=16,color="green",shape="box"];517[label="yu40010",fontsize=16,color="green",shape="box"];518[label="yu310",fontsize=16,color="green",shape="box"];519[label="yu40010",fontsize=16,color="green",shape="box"];520[label="yu310",fontsize=16,color="green",shape="box"];521[label="yu40010",fontsize=16,color="green",shape="box"];522[label="yu310",fontsize=16,color="green",shape="box"];523[label="yu40010",fontsize=16,color="green",shape="box"];524[label="yu310",fontsize=16,color="green",shape="box"];525[label="yu40010",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="yu310",fontsize=16,color="green",shape="box"];529[label="yu40010",fontsize=16,color="green",shape="box"];530[label="yu310",fontsize=16,color="green",shape="box"];531[label="yu40010",fontsize=16,color="green",shape="box"];532[label="yu310",fontsize=16,color="green",shape="box"];533[label="yu40010",fontsize=16,color="green",shape="box"];534 -> 323[label="",style="dashed", color="red", weight=0]; 13.38/5.90 534[label="yu301 == yu40001",fontsize=16,color="magenta"];534 -> 686[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 534 -> 687[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 535 -> 329[label="",style="dashed", color="red", weight=0]; 13.38/5.90 535[label="yu301 == yu40001",fontsize=16,color="magenta"];535 -> 688[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 535 -> 689[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 536 -> 323[label="",style="dashed", color="red", weight=0]; 13.38/5.90 536[label="yu300 == yu40000",fontsize=16,color="magenta"];536 -> 690[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 536 -> 691[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 537 -> 329[label="",style="dashed", color="red", weight=0]; 13.38/5.90 537[label="yu300 == yu40000",fontsize=16,color="magenta"];537 -> 692[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 537 -> 693[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 538[label="yu300 * yu40001",fontsize=16,color="black",shape="triangle"];538 -> 694[label="",style="solid", color="black", weight=3]; 13.38/5.90 539 -> 538[label="",style="dashed", color="red", weight=0]; 13.38/5.90 539[label="yu301 * yu40000",fontsize=16,color="magenta"];539 -> 695[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 539 -> 696[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 540[label="yu302 == yu40002",fontsize=16,color="blue",shape="box"];1154[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1154[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1154 -> 697[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1155[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1155[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1155 -> 698[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1156[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1156[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1156 -> 699[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1157[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1157[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1157 -> 700[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1158[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1158[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1158 -> 701[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1159[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1159[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1159 -> 702[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1160[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1160[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1160 -> 703[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1161[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1161[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1161 -> 704[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1162[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1162[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1162 -> 705[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1163[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1163[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1163 -> 706[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1164[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1164[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1164 -> 707[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1165[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1165[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1165 -> 708[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1166[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1166[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1166 -> 709[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1167[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1167[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1167 -> 710[label="",style="solid", color="blue", weight=3]; 13.38/5.90 541[label="yu301 == yu40001",fontsize=16,color="blue",shape="box"];1168[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1168[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1168 -> 711[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1169[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1169[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1169 -> 712[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1170[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1170[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1170 -> 713[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1171[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1171[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1171 -> 714[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1172[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1172[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1172 -> 715[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1173[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1173[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1173 -> 716[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1174[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1174[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1174 -> 717[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1175[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1175[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1175 -> 718[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1176[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1176[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1176 -> 719[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1177[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1177[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1177 -> 720[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1178[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1178[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1178 -> 721[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1179[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1179[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1179 -> 722[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1180[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1180[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1180 -> 723[label="",style="solid", color="blue", weight=3]; 13.38/5.90 1181[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1181[label="",style="solid", color="blue", weight=9]; 13.38/5.90 1181 -> 724[label="",style="solid", color="blue", weight=3]; 13.38/5.90 542 -> 317[label="",style="dashed", color="red", weight=0]; 13.38/5.90 542[label="yu300 == yu40000",fontsize=16,color="magenta"];542 -> 725[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 542 -> 726[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 543 -> 318[label="",style="dashed", color="red", weight=0]; 13.38/5.90 543[label="yu300 == yu40000",fontsize=16,color="magenta"];543 -> 727[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 543 -> 728[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 544 -> 319[label="",style="dashed", color="red", weight=0]; 13.38/5.90 544[label="yu300 == yu40000",fontsize=16,color="magenta"];544 -> 729[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 544 -> 730[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 545 -> 320[label="",style="dashed", color="red", weight=0]; 13.38/5.90 545[label="yu300 == yu40000",fontsize=16,color="magenta"];545 -> 731[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 545 -> 732[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 546 -> 321[label="",style="dashed", color="red", weight=0]; 13.38/5.90 546[label="yu300 == yu40000",fontsize=16,color="magenta"];546 -> 733[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 546 -> 734[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 547 -> 322[label="",style="dashed", color="red", weight=0]; 13.38/5.90 547[label="yu300 == yu40000",fontsize=16,color="magenta"];547 -> 735[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 547 -> 736[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 548 -> 323[label="",style="dashed", color="red", weight=0]; 13.38/5.90 548[label="yu300 == yu40000",fontsize=16,color="magenta"];548 -> 737[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 548 -> 738[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 549 -> 324[label="",style="dashed", color="red", weight=0]; 13.38/5.90 549[label="yu300 == yu40000",fontsize=16,color="magenta"];549 -> 739[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 549 -> 740[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 550 -> 325[label="",style="dashed", color="red", weight=0]; 13.38/5.90 550[label="yu300 == yu40000",fontsize=16,color="magenta"];550 -> 741[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 550 -> 742[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 551 -> 326[label="",style="dashed", color="red", weight=0]; 13.38/5.90 551[label="yu300 == yu40000",fontsize=16,color="magenta"];551 -> 743[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 551 -> 744[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 552 -> 311[label="",style="dashed", color="red", weight=0]; 13.38/5.90 552[label="yu300 == yu40000",fontsize=16,color="magenta"];552 -> 745[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 552 -> 746[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 553 -> 328[label="",style="dashed", color="red", weight=0]; 13.38/5.90 553[label="yu300 == yu40000",fontsize=16,color="magenta"];553 -> 747[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 553 -> 748[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 554 -> 329[label="",style="dashed", color="red", weight=0]; 13.38/5.90 554[label="yu300 == yu40000",fontsize=16,color="magenta"];554 -> 749[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 554 -> 750[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 555 -> 330[label="",style="dashed", color="red", weight=0]; 13.38/5.90 555[label="yu300 == yu40000",fontsize=16,color="magenta"];555 -> 751[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 555 -> 752[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 556 -> 317[label="",style="dashed", color="red", weight=0]; 13.38/5.90 556[label="yu301 == yu40001",fontsize=16,color="magenta"];556 -> 753[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 556 -> 754[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 557 -> 318[label="",style="dashed", color="red", weight=0]; 13.38/5.90 557[label="yu301 == yu40001",fontsize=16,color="magenta"];557 -> 755[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 557 -> 756[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 558 -> 319[label="",style="dashed", color="red", weight=0]; 13.38/5.90 558[label="yu301 == yu40001",fontsize=16,color="magenta"];558 -> 757[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 558 -> 758[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 559 -> 320[label="",style="dashed", color="red", weight=0]; 13.38/5.90 559[label="yu301 == yu40001",fontsize=16,color="magenta"];559 -> 759[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 559 -> 760[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 560 -> 321[label="",style="dashed", color="red", weight=0]; 13.38/5.90 560[label="yu301 == yu40001",fontsize=16,color="magenta"];560 -> 761[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 560 -> 762[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 561 -> 322[label="",style="dashed", color="red", weight=0]; 13.38/5.90 561[label="yu301 == yu40001",fontsize=16,color="magenta"];561 -> 763[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 561 -> 764[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 562 -> 323[label="",style="dashed", color="red", weight=0]; 13.38/5.90 562[label="yu301 == yu40001",fontsize=16,color="magenta"];562 -> 765[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 562 -> 766[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 563 -> 324[label="",style="dashed", color="red", weight=0]; 13.38/5.90 563[label="yu301 == yu40001",fontsize=16,color="magenta"];563 -> 767[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 563 -> 768[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 564 -> 325[label="",style="dashed", color="red", weight=0]; 13.38/5.90 564[label="yu301 == yu40001",fontsize=16,color="magenta"];564 -> 769[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 564 -> 770[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 565 -> 326[label="",style="dashed", color="red", weight=0]; 13.38/5.90 565[label="yu301 == yu40001",fontsize=16,color="magenta"];565 -> 771[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 565 -> 772[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 566 -> 311[label="",style="dashed", color="red", weight=0]; 13.38/5.90 566[label="yu301 == yu40001",fontsize=16,color="magenta"];566 -> 773[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 566 -> 774[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 567 -> 328[label="",style="dashed", color="red", weight=0]; 13.38/5.90 567[label="yu301 == yu40001",fontsize=16,color="magenta"];567 -> 775[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 567 -> 776[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 568 -> 329[label="",style="dashed", color="red", weight=0]; 13.38/5.90 568[label="yu301 == yu40001",fontsize=16,color="magenta"];568 -> 777[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 568 -> 778[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 569 -> 330[label="",style="dashed", color="red", weight=0]; 13.38/5.90 569[label="yu301 == yu40001",fontsize=16,color="magenta"];569 -> 779[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 569 -> 780[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 570 -> 317[label="",style="dashed", color="red", weight=0]; 13.38/5.90 570[label="yu300 == yu40000",fontsize=16,color="magenta"];570 -> 781[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 570 -> 782[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 571 -> 318[label="",style="dashed", color="red", weight=0]; 13.38/5.90 571[label="yu300 == yu40000",fontsize=16,color="magenta"];571 -> 783[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 571 -> 784[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 572 -> 319[label="",style="dashed", color="red", weight=0]; 13.38/5.90 572[label="yu300 == yu40000",fontsize=16,color="magenta"];572 -> 785[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 572 -> 786[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 573 -> 320[label="",style="dashed", color="red", weight=0]; 13.38/5.90 573[label="yu300 == yu40000",fontsize=16,color="magenta"];573 -> 787[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 573 -> 788[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 574 -> 321[label="",style="dashed", color="red", weight=0]; 13.38/5.90 574[label="yu300 == yu40000",fontsize=16,color="magenta"];574 -> 789[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 574 -> 790[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 575 -> 322[label="",style="dashed", color="red", weight=0]; 13.38/5.90 575[label="yu300 == yu40000",fontsize=16,color="magenta"];575 -> 791[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 575 -> 792[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 576 -> 323[label="",style="dashed", color="red", weight=0]; 13.38/5.90 576[label="yu300 == yu40000",fontsize=16,color="magenta"];576 -> 793[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 576 -> 794[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 577 -> 324[label="",style="dashed", color="red", weight=0]; 13.38/5.90 577[label="yu300 == yu40000",fontsize=16,color="magenta"];577 -> 795[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 577 -> 796[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 578 -> 325[label="",style="dashed", color="red", weight=0]; 13.38/5.90 578[label="yu300 == yu40000",fontsize=16,color="magenta"];578 -> 797[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 578 -> 798[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 579 -> 326[label="",style="dashed", color="red", weight=0]; 13.38/5.90 579[label="yu300 == yu40000",fontsize=16,color="magenta"];579 -> 799[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 579 -> 800[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 580 -> 311[label="",style="dashed", color="red", weight=0]; 13.38/5.90 580[label="yu300 == yu40000",fontsize=16,color="magenta"];580 -> 801[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 580 -> 802[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 581 -> 328[label="",style="dashed", color="red", weight=0]; 13.38/5.90 581[label="yu300 == yu40000",fontsize=16,color="magenta"];581 -> 803[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 581 -> 804[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 582 -> 329[label="",style="dashed", color="red", weight=0]; 13.38/5.90 582[label="yu300 == yu40000",fontsize=16,color="magenta"];582 -> 805[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 582 -> 806[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 583 -> 330[label="",style="dashed", color="red", weight=0]; 13.38/5.90 583[label="yu300 == yu40000",fontsize=16,color="magenta"];583 -> 807[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 583 -> 808[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 584 -> 538[label="",style="dashed", color="red", weight=0]; 13.38/5.90 584[label="yu300 * yu40001",fontsize=16,color="magenta"];584 -> 809[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 584 -> 810[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 585 -> 538[label="",style="dashed", color="red", weight=0]; 13.38/5.90 585[label="yu301 * yu40000",fontsize=16,color="magenta"];585 -> 811[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 585 -> 812[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 586[label="yu300",fontsize=16,color="green",shape="box"];587[label="yu40000",fontsize=16,color="green",shape="box"];588[label="yu300",fontsize=16,color="green",shape="box"];589[label="yu40000",fontsize=16,color="green",shape="box"];590[label="yu300",fontsize=16,color="green",shape="box"];591[label="yu40000",fontsize=16,color="green",shape="box"];592[label="yu300",fontsize=16,color="green",shape="box"];593[label="yu40000",fontsize=16,color="green",shape="box"];594[label="yu300",fontsize=16,color="green",shape="box"];595[label="yu40000",fontsize=16,color="green",shape="box"];596[label="yu300",fontsize=16,color="green",shape="box"];597[label="yu40000",fontsize=16,color="green",shape="box"];598[label="yu300",fontsize=16,color="green",shape="box"];599[label="yu40000",fontsize=16,color="green",shape="box"];600[label="yu300",fontsize=16,color="green",shape="box"];601[label="yu40000",fontsize=16,color="green",shape="box"];602[label="yu300",fontsize=16,color="green",shape="box"];603[label="yu40000",fontsize=16,color="green",shape="box"];604[label="yu300",fontsize=16,color="green",shape="box"];605[label="yu40000",fontsize=16,color="green",shape="box"];606[label="yu40000",fontsize=16,color="green",shape="box"];607[label="yu300",fontsize=16,color="green",shape="box"];608[label="yu300",fontsize=16,color="green",shape="box"];609[label="yu40000",fontsize=16,color="green",shape="box"];610[label="yu300",fontsize=16,color="green",shape="box"];611[label="yu40000",fontsize=16,color="green",shape="box"];612[label="yu300",fontsize=16,color="green",shape="box"];613[label="yu40000",fontsize=16,color="green",shape="box"];614[label="yu300",fontsize=16,color="green",shape="box"];615[label="yu40000",fontsize=16,color="green",shape="box"];616[label="yu300",fontsize=16,color="green",shape="box"];617[label="yu40000",fontsize=16,color="green",shape="box"];618[label="yu300",fontsize=16,color="green",shape="box"];619[label="yu40000",fontsize=16,color="green",shape="box"];620[label="yu300",fontsize=16,color="green",shape="box"];621[label="yu40000",fontsize=16,color="green",shape="box"];622[label="yu300",fontsize=16,color="green",shape="box"];623[label="yu40000",fontsize=16,color="green",shape="box"];624[label="yu300",fontsize=16,color="green",shape="box"];625[label="yu40000",fontsize=16,color="green",shape="box"];626[label="yu300",fontsize=16,color="green",shape="box"];627[label="yu40000",fontsize=16,color="green",shape="box"];628[label="yu300",fontsize=16,color="green",shape="box"];629[label="yu40000",fontsize=16,color="green",shape="box"];630[label="yu300",fontsize=16,color="green",shape="box"];631[label="yu40000",fontsize=16,color="green",shape="box"];632[label="yu300",fontsize=16,color="green",shape="box"];633[label="yu40000",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="yu300",fontsize=16,color="green",shape="box"];637[label="yu40000",fontsize=16,color="green",shape="box"];638[label="yu300",fontsize=16,color="green",shape="box"];639[label="yu40000",fontsize=16,color="green",shape="box"];640[label="yu300",fontsize=16,color="green",shape="box"];641[label="yu40000",fontsize=16,color="green",shape="box"];642[label="primEqNat (Succ yu3000) yu40000",fontsize=16,color="burlywood",shape="box"];1182[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];642 -> 1182[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1182 -> 813[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 1183[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];642 -> 1183[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1183 -> 814[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 643[label="primEqNat Zero yu40000",fontsize=16,color="burlywood",shape="box"];1184[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];643 -> 1184[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1184 -> 815[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 1185[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];643 -> 1185[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1185 -> 816[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 644[label="primEqInt (Pos (Succ yu3000)) (Pos (Succ yu400000))",fontsize=16,color="black",shape="box"];644 -> 817[label="",style="solid", color="black", weight=3]; 13.38/5.90 645[label="primEqInt (Pos (Succ yu3000)) (Pos Zero)",fontsize=16,color="black",shape="box"];645 -> 818[label="",style="solid", color="black", weight=3]; 13.38/5.90 646[label="False",fontsize=16,color="green",shape="box"];647[label="primEqInt (Pos Zero) (Pos (Succ yu400000))",fontsize=16,color="black",shape="box"];647 -> 819[label="",style="solid", color="black", weight=3]; 13.38/5.90 648[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];648 -> 820[label="",style="solid", color="black", weight=3]; 13.38/5.90 649[label="primEqInt (Pos Zero) (Neg (Succ yu400000))",fontsize=16,color="black",shape="box"];649 -> 821[label="",style="solid", color="black", weight=3]; 13.38/5.90 650[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];650 -> 822[label="",style="solid", color="black", weight=3]; 13.38/5.90 651[label="False",fontsize=16,color="green",shape="box"];652[label="primEqInt (Neg (Succ yu3000)) (Neg (Succ yu400000))",fontsize=16,color="black",shape="box"];652 -> 823[label="",style="solid", color="black", weight=3]; 13.38/5.90 653[label="primEqInt (Neg (Succ yu3000)) (Neg Zero)",fontsize=16,color="black",shape="box"];653 -> 824[label="",style="solid", color="black", weight=3]; 13.38/5.90 654[label="primEqInt (Neg Zero) (Pos (Succ yu400000))",fontsize=16,color="black",shape="box"];654 -> 825[label="",style="solid", color="black", weight=3]; 13.38/5.90 655[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];655 -> 826[label="",style="solid", color="black", weight=3]; 13.38/5.90 656[label="primEqInt (Neg Zero) (Neg (Succ yu400000))",fontsize=16,color="black",shape="box"];656 -> 827[label="",style="solid", color="black", weight=3]; 13.38/5.90 657[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];657 -> 828[label="",style="solid", color="black", weight=3]; 13.38/5.90 658[label="yu300",fontsize=16,color="green",shape="box"];659[label="yu40000",fontsize=16,color="green",shape="box"];660[label="yu300",fontsize=16,color="green",shape="box"];661[label="yu40000",fontsize=16,color="green",shape="box"];662[label="yu300",fontsize=16,color="green",shape="box"];663[label="yu40000",fontsize=16,color="green",shape="box"];664[label="yu300",fontsize=16,color="green",shape="box"];665[label="yu40000",fontsize=16,color="green",shape="box"];666[label="yu300",fontsize=16,color="green",shape="box"];667[label="yu40000",fontsize=16,color="green",shape="box"];668[label="yu300",fontsize=16,color="green",shape="box"];669[label="yu40000",fontsize=16,color="green",shape="box"];670[label="yu300",fontsize=16,color="green",shape="box"];671[label="yu40000",fontsize=16,color="green",shape="box"];672[label="yu300",fontsize=16,color="green",shape="box"];673[label="yu40000",fontsize=16,color="green",shape="box"];674[label="yu300",fontsize=16,color="green",shape="box"];675[label="yu40000",fontsize=16,color="green",shape="box"];676[label="yu300",fontsize=16,color="green",shape="box"];677[label="yu40000",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="yu300",fontsize=16,color="green",shape="box"];681[label="yu40000",fontsize=16,color="green",shape="box"];682[label="yu300",fontsize=16,color="green",shape="box"];683[label="yu40000",fontsize=16,color="green",shape="box"];684[label="yu300",fontsize=16,color="green",shape="box"];685[label="yu40000",fontsize=16,color="green",shape="box"];686[label="yu301",fontsize=16,color="green",shape="box"];687[label="yu40001",fontsize=16,color="green",shape="box"];688[label="yu301",fontsize=16,color="green",shape="box"];689[label="yu40001",fontsize=16,color="green",shape="box"];690[label="yu300",fontsize=16,color="green",shape="box"];691[label="yu40000",fontsize=16,color="green",shape="box"];692[label="yu300",fontsize=16,color="green",shape="box"];693[label="yu40000",fontsize=16,color="green",shape="box"];694[label="primMulInt yu300 yu40001",fontsize=16,color="burlywood",shape="box"];1186[label="yu300/Pos yu3000",fontsize=10,color="white",style="solid",shape="box"];694 -> 1186[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1186 -> 829[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 1187[label="yu300/Neg yu3000",fontsize=10,color="white",style="solid",shape="box"];694 -> 1187[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1187 -> 830[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 695[label="yu301",fontsize=16,color="green",shape="box"];696[label="yu40000",fontsize=16,color="green",shape="box"];697 -> 317[label="",style="dashed", color="red", weight=0]; 13.38/5.90 697[label="yu302 == yu40002",fontsize=16,color="magenta"];697 -> 831[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 697 -> 832[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 698 -> 318[label="",style="dashed", color="red", weight=0]; 13.38/5.90 698[label="yu302 == yu40002",fontsize=16,color="magenta"];698 -> 833[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 698 -> 834[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 699 -> 319[label="",style="dashed", color="red", weight=0]; 13.38/5.90 699[label="yu302 == yu40002",fontsize=16,color="magenta"];699 -> 835[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 699 -> 836[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 700 -> 320[label="",style="dashed", color="red", weight=0]; 13.38/5.90 700[label="yu302 == yu40002",fontsize=16,color="magenta"];700 -> 837[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 700 -> 838[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 701 -> 321[label="",style="dashed", color="red", weight=0]; 13.38/5.90 701[label="yu302 == yu40002",fontsize=16,color="magenta"];701 -> 839[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 701 -> 840[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 702 -> 322[label="",style="dashed", color="red", weight=0]; 13.38/5.90 702[label="yu302 == yu40002",fontsize=16,color="magenta"];702 -> 841[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 702 -> 842[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 703 -> 323[label="",style="dashed", color="red", weight=0]; 13.38/5.90 703[label="yu302 == yu40002",fontsize=16,color="magenta"];703 -> 843[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 703 -> 844[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 704 -> 324[label="",style="dashed", color="red", weight=0]; 13.38/5.90 704[label="yu302 == yu40002",fontsize=16,color="magenta"];704 -> 845[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 704 -> 846[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 705 -> 325[label="",style="dashed", color="red", weight=0]; 13.38/5.90 705[label="yu302 == yu40002",fontsize=16,color="magenta"];705 -> 847[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 705 -> 848[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 706 -> 326[label="",style="dashed", color="red", weight=0]; 13.38/5.90 706[label="yu302 == yu40002",fontsize=16,color="magenta"];706 -> 849[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 706 -> 850[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 707 -> 311[label="",style="dashed", color="red", weight=0]; 13.38/5.90 707[label="yu302 == yu40002",fontsize=16,color="magenta"];707 -> 851[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 707 -> 852[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 708 -> 328[label="",style="dashed", color="red", weight=0]; 13.38/5.90 708[label="yu302 == yu40002",fontsize=16,color="magenta"];708 -> 853[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 708 -> 854[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 709 -> 329[label="",style="dashed", color="red", weight=0]; 13.38/5.90 709[label="yu302 == yu40002",fontsize=16,color="magenta"];709 -> 855[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 709 -> 856[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 710 -> 330[label="",style="dashed", color="red", weight=0]; 13.38/5.90 710[label="yu302 == yu40002",fontsize=16,color="magenta"];710 -> 857[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 710 -> 858[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 711 -> 317[label="",style="dashed", color="red", weight=0]; 13.38/5.90 711[label="yu301 == yu40001",fontsize=16,color="magenta"];711 -> 859[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 711 -> 860[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 712 -> 318[label="",style="dashed", color="red", weight=0]; 13.38/5.90 712[label="yu301 == yu40001",fontsize=16,color="magenta"];712 -> 861[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 712 -> 862[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 713 -> 319[label="",style="dashed", color="red", weight=0]; 13.38/5.90 713[label="yu301 == yu40001",fontsize=16,color="magenta"];713 -> 863[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 713 -> 864[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 714 -> 320[label="",style="dashed", color="red", weight=0]; 13.38/5.90 714[label="yu301 == yu40001",fontsize=16,color="magenta"];714 -> 865[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 714 -> 866[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 715 -> 321[label="",style="dashed", color="red", weight=0]; 13.38/5.90 715[label="yu301 == yu40001",fontsize=16,color="magenta"];715 -> 867[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 715 -> 868[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 716 -> 322[label="",style="dashed", color="red", weight=0]; 13.38/5.90 716[label="yu301 == yu40001",fontsize=16,color="magenta"];716 -> 869[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 716 -> 870[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 717 -> 323[label="",style="dashed", color="red", weight=0]; 13.38/5.90 717[label="yu301 == yu40001",fontsize=16,color="magenta"];717 -> 871[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 717 -> 872[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 718 -> 324[label="",style="dashed", color="red", weight=0]; 13.38/5.90 718[label="yu301 == yu40001",fontsize=16,color="magenta"];718 -> 873[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 718 -> 874[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 719 -> 325[label="",style="dashed", color="red", weight=0]; 13.38/5.90 719[label="yu301 == yu40001",fontsize=16,color="magenta"];719 -> 875[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 719 -> 876[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 720 -> 326[label="",style="dashed", color="red", weight=0]; 13.38/5.90 720[label="yu301 == yu40001",fontsize=16,color="magenta"];720 -> 877[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 720 -> 878[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 721 -> 311[label="",style="dashed", color="red", weight=0]; 13.38/5.90 721[label="yu301 == yu40001",fontsize=16,color="magenta"];721 -> 879[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 721 -> 880[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 722 -> 328[label="",style="dashed", color="red", weight=0]; 13.38/5.90 722[label="yu301 == yu40001",fontsize=16,color="magenta"];722 -> 881[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 722 -> 882[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 723 -> 329[label="",style="dashed", color="red", weight=0]; 13.38/5.90 723[label="yu301 == yu40001",fontsize=16,color="magenta"];723 -> 883[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 723 -> 884[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 724 -> 330[label="",style="dashed", color="red", weight=0]; 13.38/5.90 724[label="yu301 == yu40001",fontsize=16,color="magenta"];724 -> 885[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 724 -> 886[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 725[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="yu40000",fontsize=16,color="green",shape="box"];746[label="yu300",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="yu300",fontsize=16,color="green",shape="box"];752[label="yu40000",fontsize=16,color="green",shape="box"];753[label="yu301",fontsize=16,color="green",shape="box"];754[label="yu40001",fontsize=16,color="green",shape="box"];755[label="yu301",fontsize=16,color="green",shape="box"];756[label="yu40001",fontsize=16,color="green",shape="box"];757[label="yu301",fontsize=16,color="green",shape="box"];758[label="yu40001",fontsize=16,color="green",shape="box"];759[label="yu301",fontsize=16,color="green",shape="box"];760[label="yu40001",fontsize=16,color="green",shape="box"];761[label="yu301",fontsize=16,color="green",shape="box"];762[label="yu40001",fontsize=16,color="green",shape="box"];763[label="yu301",fontsize=16,color="green",shape="box"];764[label="yu40001",fontsize=16,color="green",shape="box"];765[label="yu301",fontsize=16,color="green",shape="box"];766[label="yu40001",fontsize=16,color="green",shape="box"];767[label="yu301",fontsize=16,color="green",shape="box"];768[label="yu40001",fontsize=16,color="green",shape="box"];769[label="yu301",fontsize=16,color="green",shape="box"];770[label="yu40001",fontsize=16,color="green",shape="box"];771[label="yu301",fontsize=16,color="green",shape="box"];772[label="yu40001",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="yu301",fontsize=16,color="green",shape="box"];776[label="yu40001",fontsize=16,color="green",shape="box"];777[label="yu301",fontsize=16,color="green",shape="box"];778[label="yu40001",fontsize=16,color="green",shape="box"];779[label="yu301",fontsize=16,color="green",shape="box"];780[label="yu40001",fontsize=16,color="green",shape="box"];781[label="yu300",fontsize=16,color="green",shape="box"];782[label="yu40000",fontsize=16,color="green",shape="box"];783[label="yu300",fontsize=16,color="green",shape="box"];784[label="yu40000",fontsize=16,color="green",shape="box"];785[label="yu300",fontsize=16,color="green",shape="box"];786[label="yu40000",fontsize=16,color="green",shape="box"];787[label="yu300",fontsize=16,color="green",shape="box"];788[label="yu40000",fontsize=16,color="green",shape="box"];789[label="yu300",fontsize=16,color="green",shape="box"];790[label="yu40000",fontsize=16,color="green",shape="box"];791[label="yu300",fontsize=16,color="green",shape="box"];792[label="yu40000",fontsize=16,color="green",shape="box"];793[label="yu300",fontsize=16,color="green",shape="box"];794[label="yu40000",fontsize=16,color="green",shape="box"];795[label="yu300",fontsize=16,color="green",shape="box"];796[label="yu40000",fontsize=16,color="green",shape="box"];797[label="yu300",fontsize=16,color="green",shape="box"];798[label="yu40000",fontsize=16,color="green",shape="box"];799[label="yu300",fontsize=16,color="green",shape="box"];800[label="yu40000",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="yu300",fontsize=16,color="green",shape="box"];804[label="yu40000",fontsize=16,color="green",shape="box"];805[label="yu300",fontsize=16,color="green",shape="box"];806[label="yu40000",fontsize=16,color="green",shape="box"];807[label="yu300",fontsize=16,color="green",shape="box"];808[label="yu40000",fontsize=16,color="green",shape="box"];809[label="yu300",fontsize=16,color="green",shape="box"];810[label="yu40001",fontsize=16,color="green",shape="box"];811[label="yu301",fontsize=16,color="green",shape="box"];812[label="yu40000",fontsize=16,color="green",shape="box"];813[label="primEqNat (Succ yu3000) (Succ yu400000)",fontsize=16,color="black",shape="box"];813 -> 887[label="",style="solid", color="black", weight=3]; 13.38/5.90 814[label="primEqNat (Succ yu3000) Zero",fontsize=16,color="black",shape="box"];814 -> 888[label="",style="solid", color="black", weight=3]; 13.38/5.90 815[label="primEqNat Zero (Succ yu400000)",fontsize=16,color="black",shape="box"];815 -> 889[label="",style="solid", color="black", weight=3]; 13.38/5.90 816[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];816 -> 890[label="",style="solid", color="black", weight=3]; 13.38/5.90 817 -> 483[label="",style="dashed", color="red", weight=0]; 13.38/5.90 817[label="primEqNat yu3000 yu400000",fontsize=16,color="magenta"];817 -> 891[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 817 -> 892[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 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yu400010",fontsize=10,color="white",style="solid",shape="box"];829 -> 1188[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1188 -> 895[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 1189[label="yu40001/Neg yu400010",fontsize=10,color="white",style="solid",shape="box"];829 -> 1189[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1189 -> 896[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 830[label="primMulInt (Neg yu3000) yu40001",fontsize=16,color="burlywood",shape="box"];1190[label="yu40001/Pos yu400010",fontsize=10,color="white",style="solid",shape="box"];830 -> 1190[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1190 -> 897[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 1191[label="yu40001/Neg yu400010",fontsize=10,color="white",style="solid",shape="box"];830 -> 1191[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1191 -> 898[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 831[label="yu302",fontsize=16,color="green",shape="box"];832[label="yu40002",fontsize=16,color="green",shape="box"];833[label="yu302",fontsize=16,color="green",shape="box"];834[label="yu40002",fontsize=16,color="green",shape="box"];835[label="yu302",fontsize=16,color="green",shape="box"];836[label="yu40002",fontsize=16,color="green",shape="box"];837[label="yu302",fontsize=16,color="green",shape="box"];838[label="yu40002",fontsize=16,color="green",shape="box"];839[label="yu302",fontsize=16,color="green",shape="box"];840[label="yu40002",fontsize=16,color="green",shape="box"];841[label="yu302",fontsize=16,color="green",shape="box"];842[label="yu40002",fontsize=16,color="green",shape="box"];843[label="yu302",fontsize=16,color="green",shape="box"];844[label="yu40002",fontsize=16,color="green",shape="box"];845[label="yu302",fontsize=16,color="green",shape="box"];846[label="yu40002",fontsize=16,color="green",shape="box"];847[label="yu302",fontsize=16,color="green",shape="box"];848[label="yu40002",fontsize=16,color="green",shape="box"];849[label="yu302",fontsize=16,color="green",shape="box"];850[label="yu40002",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="yu302",fontsize=16,color="green",shape="box"];854[label="yu40002",fontsize=16,color="green",shape="box"];855[label="yu302",fontsize=16,color="green",shape="box"];856[label="yu40002",fontsize=16,color="green",shape="box"];857[label="yu302",fontsize=16,color="green",shape="box"];858[label="yu40002",fontsize=16,color="green",shape="box"];859[label="yu301",fontsize=16,color="green",shape="box"];860[label="yu40001",fontsize=16,color="green",shape="box"];861[label="yu301",fontsize=16,color="green",shape="box"];862[label="yu40001",fontsize=16,color="green",shape="box"];863[label="yu301",fontsize=16,color="green",shape="box"];864[label="yu40001",fontsize=16,color="green",shape="box"];865[label="yu301",fontsize=16,color="green",shape="box"];866[label="yu40001",fontsize=16,color="green",shape="box"];867[label="yu301",fontsize=16,color="green",shape="box"];868[label="yu40001",fontsize=16,color="green",shape="box"];869[label="yu301",fontsize=16,color="green",shape="box"];870[label="yu40001",fontsize=16,color="green",shape="box"];871[label="yu301",fontsize=16,color="green",shape="box"];872[label="yu40001",fontsize=16,color="green",shape="box"];873[label="yu301",fontsize=16,color="green",shape="box"];874[label="yu40001",fontsize=16,color="green",shape="box"];875[label="yu301",fontsize=16,color="green",shape="box"];876[label="yu40001",fontsize=16,color="green",shape="box"];877[label="yu301",fontsize=16,color="green",shape="box"];878[label="yu40001",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="yu301",fontsize=16,color="green",shape="box"];882[label="yu40001",fontsize=16,color="green",shape="box"];883[label="yu301",fontsize=16,color="green",shape="box"];884[label="yu40001",fontsize=16,color="green",shape="box"];885[label="yu301",fontsize=16,color="green",shape="box"];886[label="yu40001",fontsize=16,color="green",shape="box"];887 -> 483[label="",style="dashed", color="red", weight=0]; 13.38/5.90 887[label="primEqNat yu3000 yu400000",fontsize=16,color="magenta"];887 -> 899[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 887 -> 900[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 888[label="False",fontsize=16,color="green",shape="box"];889[label="False",fontsize=16,color="green",shape="box"];890[label="True",fontsize=16,color="green",shape="box"];891[label="yu3000",fontsize=16,color="green",shape="box"];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="primMulInt (Pos yu3000) (Pos yu400010)",fontsize=16,color="black",shape="box"];895 -> 901[label="",style="solid", color="black", weight=3]; 13.38/5.90 896[label="primMulInt (Pos yu3000) (Neg yu400010)",fontsize=16,color="black",shape="box"];896 -> 902[label="",style="solid", color="black", weight=3]; 13.38/5.90 897[label="primMulInt (Neg yu3000) (Pos yu400010)",fontsize=16,color="black",shape="box"];897 -> 903[label="",style="solid", color="black", weight=3]; 13.38/5.90 898[label="primMulInt (Neg yu3000) (Neg yu400010)",fontsize=16,color="black",shape="box"];898 -> 904[label="",style="solid", color="black", weight=3]; 13.38/5.90 899[label="yu3000",fontsize=16,color="green",shape="box"];900[label="yu400000",fontsize=16,color="green",shape="box"];901[label="Pos (primMulNat yu3000 yu400010)",fontsize=16,color="green",shape="box"];901 -> 905[label="",style="dashed", color="green", weight=3]; 13.38/5.90 902[label="Neg (primMulNat yu3000 yu400010)",fontsize=16,color="green",shape="box"];902 -> 906[label="",style="dashed", color="green", weight=3]; 13.38/5.90 903[label="Neg (primMulNat yu3000 yu400010)",fontsize=16,color="green",shape="box"];903 -> 907[label="",style="dashed", color="green", weight=3]; 13.38/5.90 904[label="Pos (primMulNat yu3000 yu400010)",fontsize=16,color="green",shape="box"];904 -> 908[label="",style="dashed", color="green", weight=3]; 13.38/5.90 905[label="primMulNat yu3000 yu400010",fontsize=16,color="burlywood",shape="triangle"];1192[label="yu3000/Succ yu30000",fontsize=10,color="white",style="solid",shape="box"];905 -> 1192[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1192 -> 909[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 1193[label="yu3000/Zero",fontsize=10,color="white",style="solid",shape="box"];905 -> 1193[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1193 -> 910[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 906 -> 905[label="",style="dashed", color="red", weight=0]; 13.38/5.90 906[label="primMulNat yu3000 yu400010",fontsize=16,color="magenta"];906 -> 911[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 907 -> 905[label="",style="dashed", color="red", weight=0]; 13.38/5.90 907[label="primMulNat yu3000 yu400010",fontsize=16,color="magenta"];907 -> 912[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 908 -> 905[label="",style="dashed", color="red", weight=0]; 13.38/5.90 908[label="primMulNat yu3000 yu400010",fontsize=16,color="magenta"];908 -> 913[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 908 -> 914[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 909[label="primMulNat (Succ yu30000) yu400010",fontsize=16,color="burlywood",shape="box"];1194[label="yu400010/Succ yu4000100",fontsize=10,color="white",style="solid",shape="box"];909 -> 1194[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1194 -> 915[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 1195[label="yu400010/Zero",fontsize=10,color="white",style="solid",shape="box"];909 -> 1195[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1195 -> 916[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 910[label="primMulNat Zero yu400010",fontsize=16,color="burlywood",shape="box"];1196[label="yu400010/Succ yu4000100",fontsize=10,color="white",style="solid",shape="box"];910 -> 1196[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1196 -> 917[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 1197[label="yu400010/Zero",fontsize=10,color="white",style="solid",shape="box"];910 -> 1197[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1197 -> 918[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 911[label="yu400010",fontsize=16,color="green",shape="box"];912[label="yu3000",fontsize=16,color="green",shape="box"];913[label="yu3000",fontsize=16,color="green",shape="box"];914[label="yu400010",fontsize=16,color="green",shape="box"];915[label="primMulNat (Succ yu30000) (Succ yu4000100)",fontsize=16,color="black",shape="box"];915 -> 919[label="",style="solid", color="black", weight=3]; 13.38/5.90 916[label="primMulNat (Succ yu30000) Zero",fontsize=16,color="black",shape="box"];916 -> 920[label="",style="solid", color="black", weight=3]; 13.38/5.90 917[label="primMulNat Zero (Succ yu4000100)",fontsize=16,color="black",shape="box"];917 -> 921[label="",style="solid", color="black", weight=3]; 13.38/5.90 918[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];918 -> 922[label="",style="solid", color="black", weight=3]; 13.38/5.90 919 -> 923[label="",style="dashed", color="red", weight=0]; 13.38/5.90 919[label="primPlusNat (primMulNat yu30000 (Succ yu4000100)) (Succ yu4000100)",fontsize=16,color="magenta"];919 -> 924[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 920[label="Zero",fontsize=16,color="green",shape="box"];921[label="Zero",fontsize=16,color="green",shape="box"];922[label="Zero",fontsize=16,color="green",shape="box"];924 -> 905[label="",style="dashed", color="red", weight=0]; 13.38/5.90 924[label="primMulNat yu30000 (Succ yu4000100)",fontsize=16,color="magenta"];924 -> 925[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 924 -> 926[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 923[label="primPlusNat yu34 (Succ yu4000100)",fontsize=16,color="burlywood",shape="triangle"];1198[label="yu34/Succ yu340",fontsize=10,color="white",style="solid",shape="box"];923 -> 1198[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1198 -> 927[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 1199[label="yu34/Zero",fontsize=10,color="white",style="solid",shape="box"];923 -> 1199[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1199 -> 928[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 925[label="yu30000",fontsize=16,color="green",shape="box"];926[label="Succ yu4000100",fontsize=16,color="green",shape="box"];927[label="primPlusNat (Succ yu340) (Succ yu4000100)",fontsize=16,color="black",shape="box"];927 -> 929[label="",style="solid", color="black", weight=3]; 13.38/5.90 928[label="primPlusNat Zero (Succ yu4000100)",fontsize=16,color="black",shape="box"];928 -> 930[label="",style="solid", color="black", weight=3]; 13.38/5.90 929[label="Succ (Succ (primPlusNat yu340 yu4000100))",fontsize=16,color="green",shape="box"];929 -> 931[label="",style="dashed", color="green", weight=3]; 13.38/5.90 930[label="Succ yu4000100",fontsize=16,color="green",shape="box"];931[label="primPlusNat yu340 yu4000100",fontsize=16,color="burlywood",shape="triangle"];1200[label="yu340/Succ yu3400",fontsize=10,color="white",style="solid",shape="box"];931 -> 1200[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1200 -> 932[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 1201[label="yu340/Zero",fontsize=10,color="white",style="solid",shape="box"];931 -> 1201[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1201 -> 933[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 932[label="primPlusNat (Succ yu3400) yu4000100",fontsize=16,color="burlywood",shape="box"];1202[label="yu4000100/Succ yu40001000",fontsize=10,color="white",style="solid",shape="box"];932 -> 1202[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1202 -> 934[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 1203[label="yu4000100/Zero",fontsize=10,color="white",style="solid",shape="box"];932 -> 1203[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1203 -> 935[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 933[label="primPlusNat Zero yu4000100",fontsize=16,color="burlywood",shape="box"];1204[label="yu4000100/Succ yu40001000",fontsize=10,color="white",style="solid",shape="box"];933 -> 1204[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1204 -> 936[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 1205[label="yu4000100/Zero",fontsize=10,color="white",style="solid",shape="box"];933 -> 1205[label="",style="solid", color="burlywood", weight=9]; 13.38/5.90 1205 -> 937[label="",style="solid", color="burlywood", weight=3]; 13.38/5.90 934[label="primPlusNat (Succ yu3400) (Succ yu40001000)",fontsize=16,color="black",shape="box"];934 -> 938[label="",style="solid", color="black", weight=3]; 13.38/5.90 935[label="primPlusNat (Succ yu3400) Zero",fontsize=16,color="black",shape="box"];935 -> 939[label="",style="solid", color="black", weight=3]; 13.38/5.90 936[label="primPlusNat Zero (Succ yu40001000)",fontsize=16,color="black",shape="box"];936 -> 940[label="",style="solid", color="black", weight=3]; 13.38/5.90 937[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];937 -> 941[label="",style="solid", color="black", weight=3]; 13.38/5.90 938[label="Succ (Succ (primPlusNat yu3400 yu40001000))",fontsize=16,color="green",shape="box"];938 -> 942[label="",style="dashed", color="green", weight=3]; 13.38/5.90 939[label="Succ yu3400",fontsize=16,color="green",shape="box"];940[label="Succ yu40001000",fontsize=16,color="green",shape="box"];941[label="Zero",fontsize=16,color="green",shape="box"];942 -> 931[label="",style="dashed", color="red", weight=0]; 13.38/5.90 942[label="primPlusNat yu3400 yu40001000",fontsize=16,color="magenta"];942 -> 943[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 942 -> 944[label="",style="dashed", color="magenta", weight=3]; 13.38/5.90 943[label="yu40001000",fontsize=16,color="green",shape="box"];944[label="yu3400",fontsize=16,color="green",shape="box"];} 13.38/5.90 13.38/5.90 ---------------------------------------- 13.38/5.90 13.38/5.90 (6) 13.38/5.90 Complex Obligation (AND) 13.38/5.90 13.38/5.90 ---------------------------------------- 13.38/5.90 13.38/5.90 (7) 13.38/5.90 Obligation: 13.38/5.90 Q DP problem: 13.38/5.90 The TRS P consists of the following rules: 13.38/5.90 13.38/5.90 new_esEs2(Right(yu300), Right(yu40000), bf, app(app(app(ty_@3, bbb), bbc), bbd)) -> new_esEs0(yu300, yu40000, bbb, bbc, bbd) 13.38/5.90 new_esEs2(Left(yu300), Left(yu40000), app(ty_Maybe, bba), bg) -> new_esEs3(yu300, yu40000, bba) 13.38/5.90 new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ba, bb, app(app(ty_@2, ce), cf)) -> new_esEs1(yu302, yu40002, ce, cf) 13.38/5.90 new_esEs3(Just(yu300), Just(yu40000), app(app(app(ty_@3, bcc), bcd), bce)) -> new_esEs0(yu300, yu40000, bcc, bcd, bce) 13.38/5.90 new_esEs(:(yu310, yu311), :(yu40010, yu40011), app(app(ty_@2, bd), be)) -> new_esEs1(yu310, yu40010, bd, be) 13.38/5.90 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) 13.38/5.90 new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ba, app(app(ty_@2, dg), dh), bc) -> new_esEs1(yu301, yu40001, dg, dh) 13.38/5.90 new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ba, app(ty_Maybe, ed), bc) -> new_esEs3(yu301, yu40001, ed) 13.38/5.90 new_esEs2(Right(yu300), Right(yu40000), bf, app(app(ty_Either, bbg), bbh)) -> new_esEs2(yu300, yu40000, bbg, bbh) 13.38/5.90 new_esEs3(Just(yu300), Just(yu40000), app(app(ty_Either, bch), bda)) -> new_esEs2(yu300, yu40000, bch, bda) 13.38/5.90 new_esEs1(@2(yu300, yu301), @2(yu40000, yu40001), app(ty_[], hg), be) -> new_esEs(yu300, yu40000, hg) 13.38/5.90 new_esEs(:(yu310, yu311), :(yu40010, yu40011), h) -> new_esEs(yu311, yu40011, h) 13.38/5.90 new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ba, bb, app(ty_Maybe, dc)) -> new_esEs3(yu302, yu40002, dc) 13.38/5.90 new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(ty_Either, fb), fc), bb, bc) -> new_esEs2(yu300, yu40000, fb, fc) 13.38/5.90 new_esEs3(Just(yu300), Just(yu40000), app(ty_Maybe, bdc)) -> new_esEs3(yu300, yu40000, bdc) 13.38/5.90 new_esEs1(@2(yu300, yu301), @2(yu40000, yu40001), app(app(app(ty_@3, gh), ha), hb), be) -> new_esEs0(yu300, yu40000, gh, ha, hb) 13.38/5.90 new_esEs1(@2(yu300, yu301), @2(yu40000, yu40001), app(app(ty_Either, he), hf), be) -> new_esEs2(yu300, yu40000, he, hf) 13.38/5.90 new_esEs(:(yu310, yu311), :(yu40010, yu40011), app(ty_[], bh)) -> new_esEs(yu310, yu40010, bh) 13.38/5.90 new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(ty_Maybe, ff), bb, bc) -> new_esEs3(yu300, yu40000, ff) 13.38/5.90 new_esEs(:(yu310, yu311), :(yu40010, yu40011), app(app(app(ty_@3, ba), bb), bc)) -> new_esEs0(yu310, yu40010, ba, bb, bc) 13.38/5.90 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) 13.38/5.90 new_esEs1(@2(yu300, yu301), @2(yu40000, yu40001), bd, app(app(app(ty_@3, fg), fh), ga)) -> new_esEs0(yu301, yu40001, fg, fh, ga) 13.38/5.90 new_esEs2(Left(yu300), Left(yu40000), app(app(ty_Either, baf), bag), bg) -> new_esEs2(yu300, yu40000, baf, bag) 13.38/5.90 new_esEs1(@2(yu300, yu301), @2(yu40000, yu40001), bd, app(ty_Maybe, gg)) -> new_esEs3(yu301, yu40001, gg) 13.38/5.90 new_esEs3(Just(yu300), Just(yu40000), app(ty_[], bdb)) -> new_esEs(yu300, yu40000, bdb) 13.38/5.90 new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(ty_[], fd), bb, bc) -> new_esEs(yu300, yu40000, fd) 13.38/5.90 new_esEs(:(yu310, yu311), :(yu40010, yu40011), app(app(ty_Either, bf), bg)) -> new_esEs2(yu310, yu40010, bf, bg) 13.38/5.90 new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ba, app(ty_[], ec), bc) -> new_esEs(yu301, yu40001, ec) 13.38/5.90 new_esEs2(Right(yu300), Right(yu40000), bf, app(ty_[], bca)) -> new_esEs(yu300, yu40000, bca) 13.38/5.90 new_esEs(:(yu310, yu311), :(yu40010, yu40011), app(ty_Maybe, ca)) -> new_esEs3(yu310, yu40010, ca) 13.38/5.90 new_esEs2(Right(yu300), Right(yu40000), bf, app(ty_Maybe, bcb)) -> new_esEs3(yu300, yu40000, bcb) 13.38/5.90 new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ba, bb, app(ty_[], db)) -> new_esEs(yu302, yu40002, db) 13.38/5.90 new_esEs1(@2(yu300, yu301), @2(yu40000, yu40001), app(ty_Maybe, hh), be) -> new_esEs3(yu300, yu40000, hh) 13.38/5.90 new_esEs1(@2(yu300, yu301), @2(yu40000, yu40001), app(app(ty_@2, hc), hd), be) -> new_esEs1(yu300, yu40000, hc, hd) 13.38/5.90 new_esEs1(@2(yu300, yu301), @2(yu40000, yu40001), bd, app(app(ty_Either, gd), ge)) -> new_esEs2(yu301, yu40001, gd, ge) 13.38/5.90 new_esEs1(@2(yu300, yu301), @2(yu40000, yu40001), bd, app(ty_[], gf)) -> new_esEs(yu301, yu40001, gf) 13.38/5.90 new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ba, bb, app(app(ty_Either, cg), da)) -> new_esEs2(yu302, yu40002, cg, da) 13.38/5.90 new_esEs2(Right(yu300), Right(yu40000), bf, app(app(ty_@2, bbe), bbf)) -> new_esEs1(yu300, yu40000, bbe, bbf) 13.38/5.90 new_esEs1(@2(yu300, yu301), @2(yu40000, yu40001), bd, app(app(ty_@2, gb), gc)) -> new_esEs1(yu301, yu40001, gb, gc) 13.38/5.90 new_esEs2(Left(yu300), Left(yu40000), app(app(ty_@2, bad), bae), bg) -> new_esEs1(yu300, yu40000, bad, bae) 13.38/5.90 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) 13.38/5.90 new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(ty_@2, eh), fa), bb, bc) -> new_esEs1(yu300, yu40000, eh, fa) 13.38/5.90 new_esEs2(Left(yu300), Left(yu40000), app(app(app(ty_@3, baa), bab), bac), bg) -> new_esEs0(yu300, yu40000, baa, bab, bac) 13.38/5.90 new_esEs2(Left(yu300), Left(yu40000), app(ty_[], bah), bg) -> new_esEs(yu300, yu40000, bah) 13.38/5.90 new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ba, app(app(ty_Either, ea), eb), bc) -> new_esEs2(yu301, yu40001, ea, eb) 13.38/5.90 new_esEs3(Just(yu300), Just(yu40000), app(app(ty_@2, bcf), bcg)) -> new_esEs1(yu300, yu40000, bcf, bcg) 13.38/5.90 13.38/5.90 R is empty. 13.38/5.90 Q is empty. 13.38/5.90 We have to consider all minimal (P,Q,R)-chains. 13.38/5.90 ---------------------------------------- 13.38/5.90 13.38/5.90 (8) QDPSizeChangeProof (EQUIVALENT) 13.38/5.90 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. 13.38/5.90 13.38/5.90 From the DPs we obtained the following set of size-change graphs: 13.38/5.90 *new_esEs3(Just(yu300), Just(yu40000), app(app(ty_Either, bch), bda)) -> new_esEs2(yu300, yu40000, bch, bda) 13.38/5.90 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.38/5.90 13.38/5.90 13.38/5.90 *new_esEs3(Just(yu300), Just(yu40000), app(app(app(ty_@3, bcc), bcd), bce)) -> new_esEs0(yu300, yu40000, bcc, bcd, bce) 13.38/5.90 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 13.38/5.90 13.38/5.90 13.38/5.90 *new_esEs3(Just(yu300), Just(yu40000), app(ty_Maybe, bdc)) -> new_esEs3(yu300, yu40000, bdc) 13.38/5.90 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.38/5.90 13.38/5.90 13.38/5.90 *new_esEs3(Just(yu300), Just(yu40000), app(ty_[], bdb)) -> new_esEs(yu300, yu40000, bdb) 13.38/5.90 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.38/5.90 13.38/5.90 13.38/5.90 *new_esEs3(Just(yu300), Just(yu40000), app(app(ty_@2, bcf), bcg)) -> new_esEs1(yu300, yu40000, bcf, bcg) 13.38/5.90 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.38/5.90 13.38/5.90 13.38/5.90 *new_esEs(:(yu310, yu311), :(yu40010, yu40011), app(app(ty_Either, bf), bg)) -> new_esEs2(yu310, yu40010, bf, bg) 13.38/5.90 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.38/5.90 13.38/5.90 13.38/5.90 *new_esEs(:(yu310, yu311), :(yu40010, yu40011), app(app(app(ty_@3, ba), bb), bc)) -> new_esEs0(yu310, yu40010, ba, bb, bc) 13.38/5.90 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 13.38/5.90 13.38/5.90 13.38/5.90 *new_esEs(:(yu310, yu311), :(yu40010, yu40011), app(ty_Maybe, ca)) -> new_esEs3(yu310, yu40010, ca) 13.38/5.90 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.38/5.90 13.38/5.90 13.38/5.90 *new_esEs(:(yu310, yu311), :(yu40010, yu40011), app(app(ty_@2, bd), be)) -> new_esEs1(yu310, yu40010, bd, be) 13.38/5.90 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.38/5.90 13.38/5.90 13.38/5.90 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(ty_Either, fb), fc), bb, bc) -> new_esEs2(yu300, yu40000, fb, fc) 13.38/5.90 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.38/5.91 13.38/5.91 13.38/5.91 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ba, bb, app(app(ty_Either, cg), da)) -> new_esEs2(yu302, yu40002, cg, da) 13.38/5.91 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 13.38/5.91 13.38/5.91 13.38/5.91 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ba, app(app(ty_Either, ea), eb), bc) -> new_esEs2(yu301, yu40001, ea, eb) 13.38/5.91 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 13.38/5.91 13.38/5.91 13.38/5.91 *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) 13.38/5.91 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 13.38/5.91 13.38/5.91 13.38/5.91 *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) 13.38/5.91 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 13.38/5.91 13.38/5.91 13.38/5.91 *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) 13.38/5.91 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 13.38/5.91 13.38/5.91 13.38/5.91 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ba, app(ty_Maybe, ed), bc) -> new_esEs3(yu301, yu40001, ed) 13.38/5.91 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 13.38/5.91 13.38/5.91 13.38/5.91 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ba, bb, app(ty_Maybe, dc)) -> new_esEs3(yu302, yu40002, dc) 13.38/5.91 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 13.38/5.91 13.38/5.91 13.38/5.91 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(ty_Maybe, ff), bb, bc) -> new_esEs3(yu300, yu40000, ff) 13.38/5.91 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.38/5.91 13.38/5.91 13.38/5.91 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(ty_[], fd), bb, bc) -> new_esEs(yu300, yu40000, fd) 13.38/5.91 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.38/5.91 13.38/5.91 13.38/5.91 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ba, app(ty_[], ec), bc) -> new_esEs(yu301, yu40001, ec) 13.38/5.91 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 13.38/5.91 13.38/5.91 13.38/5.91 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ba, bb, app(ty_[], db)) -> new_esEs(yu302, yu40002, db) 13.38/5.91 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 13.38/5.91 13.38/5.91 13.38/5.91 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ba, bb, app(app(ty_@2, ce), cf)) -> new_esEs1(yu302, yu40002, ce, cf) 13.38/5.91 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 13.38/5.91 13.38/5.91 13.38/5.91 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ba, app(app(ty_@2, dg), dh), bc) -> new_esEs1(yu301, yu40001, dg, dh) 13.38/5.91 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 13.38/5.91 13.38/5.91 13.38/5.91 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(ty_@2, eh), fa), bb, bc) -> new_esEs1(yu300, yu40000, eh, fa) 13.38/5.91 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.38/5.91 13.38/5.91 13.38/5.91 *new_esEs1(@2(yu300, yu301), @2(yu40000, yu40001), app(app(ty_Either, he), hf), be) -> new_esEs2(yu300, yu40000, he, hf) 13.38/5.91 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.38/5.91 13.38/5.91 13.38/5.91 *new_esEs1(@2(yu300, yu301), @2(yu40000, yu40001), bd, app(app(ty_Either, gd), ge)) -> new_esEs2(yu301, yu40001, gd, ge) 13.38/5.91 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 13.38/5.91 13.38/5.91 13.38/5.91 *new_esEs2(Right(yu300), Right(yu40000), bf, app(app(ty_Either, bbg), bbh)) -> new_esEs2(yu300, yu40000, bbg, bbh) 13.38/5.91 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 13.38/5.91 13.38/5.91 13.38/5.91 *new_esEs2(Left(yu300), Left(yu40000), app(app(ty_Either, baf), bag), bg) -> new_esEs2(yu300, yu40000, baf, bag) 13.38/5.91 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.38/5.91 13.38/5.91 13.38/5.91 *new_esEs1(@2(yu300, yu301), @2(yu40000, yu40001), app(app(app(ty_@3, gh), ha), hb), be) -> new_esEs0(yu300, yu40000, gh, ha, hb) 13.38/5.91 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 13.38/5.91 13.38/5.91 13.38/5.91 *new_esEs1(@2(yu300, yu301), @2(yu40000, yu40001), bd, app(app(app(ty_@3, fg), fh), ga)) -> new_esEs0(yu301, yu40001, fg, fh, ga) 13.38/5.91 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 13.38/5.91 13.38/5.91 13.38/5.91 *new_esEs1(@2(yu300, yu301), @2(yu40000, yu40001), bd, app(ty_Maybe, gg)) -> new_esEs3(yu301, yu40001, gg) 13.38/5.91 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 13.38/5.91 13.38/5.91 13.38/5.91 *new_esEs1(@2(yu300, yu301), @2(yu40000, yu40001), app(ty_Maybe, hh), be) -> new_esEs3(yu300, yu40000, hh) 13.38/5.91 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.38/5.91 13.38/5.91 13.38/5.91 *new_esEs1(@2(yu300, yu301), @2(yu40000, yu40001), app(ty_[], hg), be) -> new_esEs(yu300, yu40000, hg) 13.38/5.91 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.38/5.91 13.38/5.91 13.38/5.91 *new_esEs1(@2(yu300, yu301), @2(yu40000, yu40001), bd, app(ty_[], gf)) -> new_esEs(yu301, yu40001, gf) 13.38/5.91 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 13.38/5.91 13.38/5.91 13.38/5.91 *new_esEs1(@2(yu300, yu301), @2(yu40000, yu40001), app(app(ty_@2, hc), hd), be) -> new_esEs1(yu300, yu40000, hc, hd) 13.38/5.91 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.38/5.91 13.38/5.91 13.38/5.91 *new_esEs1(@2(yu300, yu301), @2(yu40000, yu40001), bd, app(app(ty_@2, gb), gc)) -> new_esEs1(yu301, yu40001, gb, gc) 13.38/5.91 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 13.38/5.91 13.38/5.91 13.38/5.91 *new_esEs2(Right(yu300), Right(yu40000), bf, app(app(app(ty_@3, bbb), bbc), bbd)) -> new_esEs0(yu300, yu40000, bbb, bbc, bbd) 13.38/5.91 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 13.38/5.91 13.38/5.91 13.38/5.91 *new_esEs2(Left(yu300), Left(yu40000), app(app(app(ty_@3, baa), bab), bac), bg) -> new_esEs0(yu300, yu40000, baa, bab, bac) 13.38/5.91 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 13.38/5.91 13.38/5.91 13.38/5.91 *new_esEs2(Left(yu300), Left(yu40000), app(ty_Maybe, bba), bg) -> new_esEs3(yu300, yu40000, bba) 13.38/5.91 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.38/5.91 13.38/5.91 13.38/5.91 *new_esEs2(Right(yu300), Right(yu40000), bf, app(ty_Maybe, bcb)) -> new_esEs3(yu300, yu40000, bcb) 13.38/5.91 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 13.38/5.91 13.38/5.91 13.38/5.91 *new_esEs2(Right(yu300), Right(yu40000), bf, app(ty_[], bca)) -> new_esEs(yu300, yu40000, bca) 13.38/5.91 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 13.38/5.91 13.38/5.91 13.38/5.91 *new_esEs2(Left(yu300), Left(yu40000), app(ty_[], bah), bg) -> new_esEs(yu300, yu40000, bah) 13.38/5.91 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.38/5.91 13.38/5.91 13.38/5.91 *new_esEs(:(yu310, yu311), :(yu40010, yu40011), h) -> new_esEs(yu311, yu40011, h) 13.38/5.91 The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 13.38/5.91 13.38/5.91 13.38/5.91 *new_esEs(:(yu310, yu311), :(yu40010, yu40011), app(ty_[], bh)) -> new_esEs(yu310, yu40010, bh) 13.38/5.91 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.38/5.91 13.38/5.91 13.38/5.91 *new_esEs2(Right(yu300), Right(yu40000), bf, app(app(ty_@2, bbe), bbf)) -> new_esEs1(yu300, yu40000, bbe, bbf) 13.38/5.91 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 13.38/5.91 13.38/5.91 13.38/5.91 *new_esEs2(Left(yu300), Left(yu40000), app(app(ty_@2, bad), bae), bg) -> new_esEs1(yu300, yu40000, bad, bae) 13.38/5.91 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.38/5.91 13.38/5.91 13.38/5.91 ---------------------------------------- 13.38/5.91 13.38/5.91 (9) 13.38/5.91 YES 13.38/5.91 13.38/5.91 ---------------------------------------- 13.38/5.91 13.38/5.91 (10) 13.38/5.91 Obligation: 13.38/5.91 Q DP problem: 13.38/5.91 The TRS P consists of the following rules: 13.38/5.91 13.38/5.91 new_lookup(:(yu30, yu31), :(@2([], yu401), yu41), bb, bc) -> new_lookup(:(yu30, yu31), yu41, bb, bc) 13.38/5.91 new_lookup1(yu13, yu14, yu15, yu16, yu17, yu18, False, h, ba) -> new_lookup(:(yu13, yu14), yu18, h, ba) 13.38/5.91 new_lookup([], :(@2(:(yu4000, yu4001), yu401), yu41), bb, bc) -> new_lookup([], yu41, bb, bc) 13.38/5.91 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) 13.38/5.91 13.38/5.91 The TRS R consists of the following rules: 13.38/5.91 13.38/5.91 new_primEqInt(Pos(Zero), Pos(Zero)) -> True 13.38/5.91 new_esEs24(yu310, yu40010, ty_Integer) -> new_esEs7(yu310, yu40010) 13.38/5.91 new_primPlusNat0(Zero, Zero) -> Zero 13.38/5.91 new_esEs24(yu310, yu40010, ty_Ordering) -> new_esEs15(yu310, yu40010) 13.38/5.91 new_esEs5(yu30, yu4000, ty_Ordering) -> new_esEs15(yu30, yu4000) 13.38/5.91 new_esEs4(:(yu310, yu311), :(yu40010, yu40011), bc) -> new_asAs(new_esEs24(yu310, yu40010, bc), new_esEs4(yu311, yu40011, bc)) 13.38/5.91 new_esEs20(yu300, yu40000, ty_Float) -> new_esEs10(yu300, yu40000) 13.38/5.91 new_esEs8(Nothing, Nothing, bd) -> True 13.38/5.91 new_esEs15(LT, LT) -> True 13.38/5.91 new_esEs12(@2(yu300, yu301), @2(yu40000, yu40001), cg, da) -> new_asAs(new_esEs20(yu300, yu40000, cg), new_esEs19(yu301, yu40001, da)) 13.38/5.91 new_esEs5(yu30, yu4000, ty_Integer) -> new_esEs7(yu30, yu4000) 13.38/5.91 new_esEs21(yu302, yu40002, app(app(ty_Either, bbf), bbg)) -> new_esEs17(yu302, yu40002, bbf, bbg) 13.38/5.91 new_esEs8(Nothing, Just(yu40000), bd) -> False 13.38/5.91 new_esEs8(Just(yu300), Nothing, bd) -> False 13.38/5.91 new_esEs5(yu30, yu4000, ty_Bool) -> new_esEs16(yu30, yu4000) 13.38/5.91 new_esEs22(yu301, yu40001, app(ty_Maybe, bdc)) -> new_esEs8(yu301, yu40001, bdc) 13.38/5.91 new_esEs20(yu300, yu40000, app(app(ty_@2, eh), fa)) -> new_esEs12(yu300, yu40000, eh, fa) 13.38/5.91 new_esEs20(yu300, yu40000, app(ty_Ratio, ed)) -> new_esEs9(yu300, yu40000, ed) 13.38/5.91 new_primMulNat0(Succ(yu30000), Succ(yu4000100)) -> new_primPlusNat1(new_primMulNat0(yu30000, Succ(yu4000100)), yu4000100) 13.38/5.91 new_esEs22(yu301, yu40001, app(ty_[], bdb)) -> new_esEs4(yu301, yu40001, bdb) 13.38/5.91 new_esEs5(yu30, yu4000, app(ty_[], beg)) -> new_esEs4(yu30, yu4000, beg) 13.38/5.91 new_esEs23(yu300, yu40000, ty_Char) -> new_esEs6(yu300, yu40000) 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, ty_Char) -> new_esEs6(yu300, yu40000) 13.38/5.91 new_esEs18(yu30, yu4000) -> new_primEqInt(yu30, yu4000) 13.38/5.91 new_asAs(True, yu33) -> yu33 13.38/5.91 new_esEs5(yu30, yu4000, app(ty_Maybe, bd)) -> new_esEs8(yu30, yu4000, bd) 13.38/5.91 new_esEs21(yu302, yu40002, app(app(app(ty_@3, bba), bbb), bbc)) -> new_esEs11(yu302, yu40002, bba, bbb, bbc) 13.38/5.91 new_esEs22(yu301, yu40001, ty_Integer) -> new_esEs7(yu301, yu40001) 13.38/5.91 new_esEs24(yu310, yu40010, ty_@0) -> new_esEs14(yu310, yu40010) 13.38/5.91 new_primEqInt(Pos(Succ(yu3000)), Pos(Zero)) -> False 13.38/5.91 new_primEqInt(Pos(Zero), Pos(Succ(yu400000))) -> False 13.38/5.91 new_esEs5(yu30, yu4000, ty_Double) -> new_esEs13(yu30, yu4000) 13.38/5.91 new_esEs6(Char(yu300), Char(yu40000)) -> new_primEqNat0(yu300, yu40000) 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), app(app(ty_@2, gd), ge), fh) -> new_esEs12(yu300, yu40000, gd, ge) 13.38/5.91 new_esEs23(yu300, yu40000, app(app(ty_Either, beb), bec)) -> new_esEs17(yu300, yu40000, beb, bec) 13.38/5.91 new_esEs24(yu310, yu40010, ty_Double) -> new_esEs13(yu310, yu40010) 13.38/5.91 new_esEs21(yu302, yu40002, ty_Bool) -> new_esEs16(yu302, yu40002) 13.38/5.91 new_primEqNat0(Succ(yu3000), Succ(yu400000)) -> new_primEqNat0(yu3000, yu400000) 13.38/5.91 new_esEs21(yu302, yu40002, ty_Char) -> new_esEs6(yu302, yu40002) 13.38/5.91 new_esEs21(yu302, yu40002, ty_Double) -> new_esEs13(yu302, yu40002) 13.38/5.91 new_esEs20(yu300, yu40000, app(ty_Maybe, ff)) -> new_esEs8(yu300, yu40000, ff) 13.38/5.91 new_esEs5(yu30, yu4000, app(app(app(ty_@3, bae), baf), bag)) -> new_esEs11(yu30, yu4000, bae, baf, bag) 13.38/5.91 new_esEs20(yu300, yu40000, ty_Ordering) -> new_esEs15(yu300, yu40000) 13.38/5.91 new_esEs24(yu310, yu40010, ty_Bool) -> new_esEs16(yu310, yu40010) 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), ty_Char, fh) -> new_esEs6(yu300, yu40000) 13.38/5.91 new_esEs24(yu310, yu40010, app(ty_[], beg)) -> new_esEs4(yu310, yu40010, beg) 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, ty_Float) -> new_esEs10(yu300, yu40000) 13.38/5.91 new_primMulNat0(Zero, Zero) -> Zero 13.38/5.91 new_esEs23(yu300, yu40000, app(app(app(ty_@3, bde), bdf), bdg)) -> new_esEs11(yu300, yu40000, bde, bdf, bdg) 13.38/5.91 new_esEs24(yu310, yu40010, app(app(ty_@2, cg), da)) -> new_esEs12(yu310, yu40010, cg, da) 13.38/5.91 new_esEs5(yu30, yu4000, app(ty_Ratio, bef)) -> new_esEs9(yu30, yu4000, bef) 13.38/5.91 new_esEs24(yu310, yu40010, ty_Int) -> new_esEs18(yu310, yu40010) 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), ty_Char) -> new_esEs6(yu300, yu40000) 13.38/5.91 new_esEs20(yu300, yu40000, ty_Integer) -> new_esEs7(yu300, yu40000) 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, app(ty_[], bac)) -> new_esEs4(yu300, yu40000, bac) 13.38/5.91 new_esEs24(yu310, yu40010, ty_Float) -> new_esEs10(yu310, yu40010) 13.38/5.91 new_esEs15(LT, EQ) -> False 13.38/5.91 new_esEs15(EQ, LT) -> False 13.38/5.91 new_esEs21(yu302, yu40002, ty_@0) -> new_esEs14(yu302, yu40002) 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), app(ty_[], gh), fh) -> new_esEs4(yu300, yu40000, gh) 13.38/5.91 new_primEqNat0(Succ(yu3000), Zero) -> False 13.38/5.91 new_primEqNat0(Zero, Succ(yu400000)) -> False 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, ty_Double) -> new_esEs13(yu300, yu40000) 13.38/5.91 new_esEs14(@0, @0) -> True 13.38/5.91 new_esEs23(yu300, yu40000, ty_Int) -> new_esEs18(yu300, yu40000) 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, ty_Int) -> new_esEs18(yu300, yu40000) 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), ty_Ordering) -> new_esEs15(yu300, yu40000) 13.38/5.91 new_esEs26(yu300, yu40000, ty_Integer) -> new_esEs7(yu300, yu40000) 13.38/5.91 new_esEs20(yu300, yu40000, ty_Bool) -> new_esEs16(yu300, yu40000) 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), ty_Ordering, fh) -> new_esEs15(yu300, yu40000) 13.38/5.91 new_esEs21(yu302, yu40002, app(ty_Maybe, bca)) -> new_esEs8(yu302, yu40002, bca) 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), ty_Float) -> new_esEs10(yu300, yu40000) 13.38/5.91 new_primEqInt(Neg(Succ(yu3000)), Neg(Zero)) -> False 13.38/5.91 new_primEqInt(Neg(Zero), Neg(Succ(yu400000))) -> False 13.38/5.91 new_esEs20(yu300, yu40000, ty_Char) -> new_esEs6(yu300, yu40000) 13.38/5.91 new_esEs19(yu301, yu40001, app(app(ty_@2, df), dg)) -> new_esEs12(yu301, yu40001, df, dg) 13.38/5.91 new_esEs20(yu300, yu40000, ty_@0) -> new_esEs14(yu300, yu40000) 13.38/5.91 new_primEqInt(Pos(Succ(yu3000)), Pos(Succ(yu400000))) -> new_primEqNat0(yu3000, yu400000) 13.38/5.91 new_esEs20(yu300, yu40000, ty_Double) -> new_esEs13(yu300, yu40000) 13.38/5.91 new_esEs17(Left(yu300), Right(yu40000), hb, fh) -> False 13.38/5.91 new_esEs17(Right(yu300), Left(yu40000), hb, fh) -> False 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), ty_Int, fh) -> new_esEs18(yu300, yu40000) 13.38/5.91 new_esEs19(yu301, yu40001, ty_Double) -> new_esEs13(yu301, yu40001) 13.38/5.91 new_esEs16(True, True) -> True 13.38/5.91 new_sr(Pos(yu3000), Neg(yu400010)) -> Neg(new_primMulNat0(yu3000, yu400010)) 13.38/5.91 new_sr(Neg(yu3000), Pos(yu400010)) -> Neg(new_primMulNat0(yu3000, yu400010)) 13.38/5.91 new_esEs5(yu30, yu4000, ty_Int) -> new_esEs18(yu30, yu4000) 13.38/5.91 new_esEs22(yu301, yu40001, app(app(app(ty_@3, bcc), bcd), bce)) -> new_esEs11(yu301, yu40001, bcc, bcd, bce) 13.38/5.91 new_primEqInt(Pos(Succ(yu3000)), Neg(yu40000)) -> False 13.38/5.91 new_primEqInt(Neg(Succ(yu3000)), Pos(yu40000)) -> False 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, app(app(app(ty_@3, hd), he), hf)) -> new_esEs11(yu300, yu40000, hd, he, hf) 13.38/5.91 new_esEs22(yu301, yu40001, app(ty_Ratio, bcb)) -> new_esEs9(yu301, yu40001, bcb) 13.38/5.91 new_esEs19(yu301, yu40001, ty_Char) -> new_esEs6(yu301, yu40001) 13.38/5.91 new_esEs21(yu302, yu40002, ty_Integer) -> new_esEs7(yu302, yu40002) 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), app(app(ty_@2, ca), cb)) -> new_esEs12(yu300, yu40000, ca, cb) 13.38/5.91 new_esEs19(yu301, yu40001, ty_Float) -> new_esEs10(yu301, yu40001) 13.38/5.91 new_esEs22(yu301, yu40001, app(app(ty_Either, bch), bda)) -> new_esEs17(yu301, yu40001, bch, bda) 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, ty_Ordering) -> new_esEs15(yu300, yu40000) 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, ty_Integer) -> new_esEs7(yu300, yu40000) 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), ty_Bool) -> new_esEs16(yu300, yu40000) 13.38/5.91 new_esEs23(yu300, yu40000, app(ty_Maybe, bee)) -> new_esEs8(yu300, yu40000, bee) 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, app(app(ty_@2, hg), hh)) -> new_esEs12(yu300, yu40000, hg, hh) 13.38/5.91 new_esEs15(EQ, EQ) -> True 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), app(app(app(ty_@3, bf), bg), bh)) -> new_esEs11(yu300, yu40000, bf, bg, bh) 13.38/5.91 new_esEs21(yu302, yu40002, app(ty_Ratio, bah)) -> new_esEs9(yu302, yu40002, bah) 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), ty_Double) -> new_esEs13(yu300, yu40000) 13.38/5.91 new_esEs19(yu301, yu40001, ty_Bool) -> new_esEs16(yu301, yu40001) 13.38/5.91 new_esEs15(GT, GT) -> True 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), ty_@0) -> new_esEs14(yu300, yu40000) 13.38/5.91 new_sr(Neg(yu3000), Neg(yu400010)) -> Pos(new_primMulNat0(yu3000, yu400010)) 13.38/5.91 new_esEs15(EQ, GT) -> False 13.38/5.91 new_esEs15(GT, EQ) -> False 13.38/5.91 new_esEs22(yu301, yu40001, ty_Char) -> new_esEs6(yu301, yu40001) 13.38/5.91 new_esEs23(yu300, yu40000, app(ty_[], bed)) -> new_esEs4(yu300, yu40000, bed) 13.38/5.91 new_esEs20(yu300, yu40000, ty_Int) -> new_esEs18(yu300, yu40000) 13.38/5.91 new_esEs19(yu301, yu40001, app(app(app(ty_@3, dc), dd), de)) -> new_esEs11(yu301, yu40001, dc, dd, de) 13.38/5.91 new_primEqInt(Pos(Zero), Neg(Succ(yu400000))) -> False 13.38/5.91 new_primEqInt(Neg(Zero), Pos(Succ(yu400000))) -> False 13.38/5.91 new_esEs23(yu300, yu40000, ty_Integer) -> new_esEs7(yu300, yu40000) 13.38/5.91 new_esEs19(yu301, yu40001, ty_@0) -> new_esEs14(yu301, yu40001) 13.38/5.91 new_primPlusNat0(Succ(yu3400), Succ(yu40001000)) -> Succ(Succ(new_primPlusNat0(yu3400, yu40001000))) 13.38/5.91 new_esEs11(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), bae, baf, bag) -> new_asAs(new_esEs23(yu300, yu40000, bae), new_asAs(new_esEs22(yu301, yu40001, baf), new_esEs21(yu302, yu40002, bag))) 13.38/5.91 new_esEs19(yu301, yu40001, ty_Integer) -> new_esEs7(yu301, yu40001) 13.38/5.91 new_esEs24(yu310, yu40010, ty_Char) -> new_esEs6(yu310, yu40010) 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, app(ty_Ratio, hc)) -> new_esEs9(yu300, yu40000, hc) 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, ty_@0) -> new_esEs14(yu300, yu40000) 13.38/5.91 new_esEs19(yu301, yu40001, ty_Int) -> new_esEs18(yu301, yu40001) 13.38/5.91 new_esEs20(yu300, yu40000, app(app(app(ty_@3, ee), ef), eg)) -> new_esEs11(yu300, yu40000, ee, ef, eg) 13.38/5.91 new_esEs20(yu300, yu40000, app(app(ty_Either, fb), fc)) -> new_esEs17(yu300, yu40000, fb, fc) 13.38/5.91 new_primEqInt(Neg(Succ(yu3000)), Neg(Succ(yu400000))) -> new_primEqNat0(yu3000, yu400000) 13.38/5.91 new_esEs21(yu302, yu40002, app(ty_[], bbh)) -> new_esEs4(yu302, yu40002, bbh) 13.38/5.91 new_esEs19(yu301, yu40001, ty_Ordering) -> new_esEs15(yu301, yu40001) 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), app(app(app(ty_@3, ga), gb), gc), fh) -> new_esEs11(yu300, yu40000, ga, gb, gc) 13.38/5.91 new_esEs23(yu300, yu40000, app(ty_Ratio, bdd)) -> new_esEs9(yu300, yu40000, bdd) 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), ty_Integer) -> new_esEs7(yu300, yu40000) 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, ty_Bool) -> new_esEs16(yu300, yu40000) 13.38/5.91 new_esEs5(yu30, yu4000, ty_Char) -> new_esEs6(yu30, yu4000) 13.38/5.91 new_esEs23(yu300, yu40000, ty_Ordering) -> new_esEs15(yu300, yu40000) 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), app(app(ty_Either, gf), gg), fh) -> new_esEs17(yu300, yu40000, gf, gg) 13.38/5.91 new_esEs25(yu301, yu40001, ty_Integer) -> new_esEs7(yu301, yu40001) 13.38/5.91 new_esEs21(yu302, yu40002, app(app(ty_@2, bbd), bbe)) -> new_esEs12(yu302, yu40002, bbd, bbe) 13.38/5.91 new_esEs25(yu301, yu40001, ty_Int) -> new_esEs18(yu301, yu40001) 13.38/5.91 new_esEs22(yu301, yu40001, ty_Int) -> new_esEs18(yu301, yu40001) 13.38/5.91 new_primMulNat0(Succ(yu30000), Zero) -> Zero 13.38/5.91 new_primMulNat0(Zero, Succ(yu4000100)) -> Zero 13.38/5.91 new_sr(Pos(yu3000), Pos(yu400010)) -> Pos(new_primMulNat0(yu3000, yu400010)) 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), ty_Float, fh) -> new_esEs10(yu300, yu40000) 13.38/5.91 new_esEs5(yu30, yu4000, app(app(ty_Either, hb), fh)) -> new_esEs17(yu30, yu4000, hb, fh) 13.38/5.91 new_primPlusNat1(Succ(yu340), yu4000100) -> Succ(Succ(new_primPlusNat0(yu340, yu4000100))) 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), ty_Int) -> new_esEs18(yu300, yu40000) 13.38/5.91 new_esEs21(yu302, yu40002, ty_Float) -> new_esEs10(yu302, yu40002) 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), app(ty_Ratio, fg), fh) -> new_esEs9(yu300, yu40000, fg) 13.38/5.91 new_esEs15(LT, GT) -> False 13.38/5.91 new_esEs15(GT, LT) -> False 13.38/5.91 new_primPlusNat0(Succ(yu3400), Zero) -> Succ(yu3400) 13.38/5.91 new_primPlusNat0(Zero, Succ(yu40001000)) -> Succ(yu40001000) 13.38/5.91 new_esEs22(yu301, yu40001, ty_@0) -> new_esEs14(yu301, yu40001) 13.38/5.91 new_esEs22(yu301, yu40001, ty_Bool) -> new_esEs16(yu301, yu40001) 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), ty_Double, fh) -> new_esEs13(yu300, yu40000) 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), ty_@0, fh) -> new_esEs14(yu300, yu40000) 13.38/5.91 new_primEqInt(Neg(Zero), Neg(Zero)) -> True 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), app(ty_[], ce)) -> new_esEs4(yu300, yu40000, ce) 13.38/5.91 new_esEs5(yu30, yu4000, app(app(ty_@2, cg), da)) -> new_esEs12(yu30, yu4000, cg, da) 13.38/5.91 new_primPlusNat1(Zero, yu4000100) -> Succ(yu4000100) 13.38/5.91 new_esEs5(yu30, yu4000, ty_Float) -> new_esEs10(yu30, yu4000) 13.38/5.91 new_esEs22(yu301, yu40001, ty_Double) -> new_esEs13(yu301, yu40001) 13.38/5.91 new_esEs19(yu301, yu40001, app(app(ty_Either, dh), ea)) -> new_esEs17(yu301, yu40001, dh, ea) 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, app(ty_Maybe, bad)) -> new_esEs8(yu300, yu40000, bad) 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), ty_Bool, fh) -> new_esEs16(yu300, yu40000) 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), app(app(ty_Either, cc), cd)) -> new_esEs17(yu300, yu40000, cc, cd) 13.38/5.91 new_esEs16(False, False) -> True 13.38/5.91 new_esEs4(:(yu310, yu311), [], bc) -> False 13.38/5.91 new_esEs4([], :(yu40010, yu40011), bc) -> False 13.38/5.91 new_esEs9(:%(yu300, yu301), :%(yu40000, yu40001), bef) -> new_asAs(new_esEs26(yu300, yu40000, bef), new_esEs25(yu301, yu40001, bef)) 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), app(ty_Maybe, ha), fh) -> new_esEs8(yu300, yu40000, ha) 13.38/5.91 new_esEs23(yu300, yu40000, app(app(ty_@2, bdh), bea)) -> new_esEs12(yu300, yu40000, bdh, bea) 13.38/5.91 new_esEs24(yu310, yu40010, app(app(app(ty_@3, bae), baf), bag)) -> new_esEs11(yu310, yu40010, bae, baf, bag) 13.38/5.91 new_esEs19(yu301, yu40001, app(ty_Maybe, ec)) -> new_esEs8(yu301, yu40001, ec) 13.38/5.91 new_esEs23(yu300, yu40000, ty_Bool) -> new_esEs16(yu300, yu40000) 13.38/5.91 new_esEs21(yu302, yu40002, ty_Ordering) -> new_esEs15(yu302, yu40002) 13.38/5.91 new_esEs24(yu310, yu40010, app(ty_Ratio, bef)) -> new_esEs9(yu310, yu40010, bef) 13.38/5.91 new_esEs13(Double(yu300, yu301), Double(yu40000, yu40001)) -> new_esEs18(new_sr(yu300, yu40001), new_sr(yu301, yu40000)) 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, app(app(ty_Either, baa), bab)) -> new_esEs17(yu300, yu40000, baa, bab) 13.38/5.91 new_primEqInt(Pos(Zero), Neg(Zero)) -> True 13.38/5.91 new_primEqInt(Neg(Zero), Pos(Zero)) -> True 13.38/5.91 new_esEs23(yu300, yu40000, ty_Double) -> new_esEs13(yu300, yu40000) 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), app(ty_Maybe, cf)) -> new_esEs8(yu300, yu40000, cf) 13.38/5.91 new_esEs23(yu300, yu40000, ty_Float) -> new_esEs10(yu300, yu40000) 13.38/5.91 new_esEs22(yu301, yu40001, ty_Ordering) -> new_esEs15(yu301, yu40001) 13.38/5.91 new_esEs26(yu300, yu40000, ty_Int) -> new_esEs18(yu300, yu40000) 13.38/5.91 new_esEs22(yu301, yu40001, app(app(ty_@2, bcf), bcg)) -> new_esEs12(yu301, yu40001, bcf, bcg) 13.38/5.91 new_primEqNat0(Zero, Zero) -> True 13.38/5.91 new_esEs21(yu302, yu40002, ty_Int) -> new_esEs18(yu302, yu40002) 13.38/5.91 new_esEs5(yu30, yu4000, ty_@0) -> new_esEs14(yu30, yu4000) 13.38/5.91 new_esEs24(yu310, yu40010, app(app(ty_Either, hb), fh)) -> new_esEs17(yu310, yu40010, hb, fh) 13.38/5.91 new_esEs4([], [], bc) -> True 13.38/5.91 new_asAs(False, yu33) -> False 13.38/5.91 new_esEs19(yu301, yu40001, app(ty_[], eb)) -> new_esEs4(yu301, yu40001, eb) 13.38/5.91 new_esEs22(yu301, yu40001, ty_Float) -> new_esEs10(yu301, yu40001) 13.38/5.91 new_esEs10(Float(yu300, yu301), Float(yu40000, yu40001)) -> new_esEs18(new_sr(yu300, yu40001), new_sr(yu301, yu40000)) 13.38/5.91 new_esEs24(yu310, yu40010, app(ty_Maybe, bd)) -> new_esEs8(yu310, yu40010, bd) 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), ty_Integer, fh) -> new_esEs7(yu300, yu40000) 13.38/5.91 new_esEs23(yu300, yu40000, ty_@0) -> new_esEs14(yu300, yu40000) 13.38/5.91 new_esEs19(yu301, yu40001, app(ty_Ratio, db)) -> new_esEs9(yu301, yu40001, db) 13.38/5.91 new_esEs7(Integer(yu300), Integer(yu40000)) -> new_primEqInt(yu300, yu40000) 13.38/5.91 new_esEs16(False, True) -> False 13.38/5.91 new_esEs16(True, False) -> False 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), app(ty_Ratio, be)) -> new_esEs9(yu300, yu40000, be) 13.38/5.91 new_esEs20(yu300, yu40000, app(ty_[], fd)) -> new_esEs4(yu300, yu40000, fd) 13.38/5.91 13.38/5.91 The set Q consists of the following terms: 13.38/5.91 13.38/5.91 new_esEs26(x0, x1, ty_Integer) 13.38/5.91 new_esEs4([], :(x0, x1), x2) 13.38/5.91 new_esEs17(Left(x0), Left(x1), ty_Bool, x2) 13.38/5.91 new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 13.38/5.91 new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 13.38/5.91 new_esEs24(x0, x1, ty_Float) 13.38/5.91 new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 13.38/5.91 new_esEs21(x0, x1, ty_Int) 13.38/5.91 new_esEs22(x0, x1, app(ty_[], x2)) 13.38/5.91 new_esEs23(x0, x1, app(ty_Ratio, x2)) 13.38/5.91 new_esEs23(x0, x1, ty_Integer) 13.38/5.91 new_primMulNat0(Zero, Zero) 13.38/5.91 new_esEs22(x0, x1, ty_Float) 13.38/5.91 new_primEqInt(Pos(Succ(x0)), Pos(Zero)) 13.38/5.91 new_esEs21(x0, x1, app(ty_[], x2)) 13.38/5.91 new_esEs15(EQ, EQ) 13.38/5.91 new_esEs21(x0, x1, ty_Ordering) 13.38/5.91 new_esEs8(Nothing, Nothing, x0) 13.38/5.91 new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) 13.38/5.91 new_esEs24(x0, x1, ty_Double) 13.38/5.91 new_esEs17(Left(x0), Left(x1), app(ty_[], x2), x3) 13.38/5.91 new_esEs17(Left(x0), Right(x1), x2, x3) 13.38/5.91 new_esEs17(Right(x0), Left(x1), x2, x3) 13.38/5.91 new_esEs5(x0, x1, ty_Double) 13.38/5.91 new_esEs8(Just(x0), Just(x1), ty_Float) 13.38/5.91 new_esEs8(Just(x0), Just(x1), ty_Ordering) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) 13.38/5.91 new_esEs8(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) 13.38/5.91 new_esEs21(x0, x1, ty_Double) 13.38/5.91 new_primEqInt(Pos(Zero), Pos(Zero)) 13.38/5.91 new_esEs12(@2(x0, x1), @2(x2, x3), x4, x5) 13.38/5.91 new_esEs24(x0, x1, ty_Int) 13.38/5.91 new_esEs8(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) 13.38/5.91 new_esEs17(Left(x0), Left(x1), app(ty_Maybe, x2), x3) 13.38/5.91 new_esEs24(x0, x1, app(ty_Ratio, x2)) 13.38/5.91 new_esEs17(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) 13.38/5.91 new_esEs20(x0, x1, ty_Integer) 13.38/5.91 new_esEs8(Just(x0), Just(x1), ty_Double) 13.38/5.91 new_esEs17(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) 13.38/5.91 new_esEs19(x0, x1, ty_Integer) 13.38/5.91 new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, ty_Bool) 13.38/5.91 new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) 13.38/5.91 new_primEqInt(Neg(Zero), Neg(Zero)) 13.38/5.91 new_esEs21(x0, x1, ty_Char) 13.38/5.91 new_esEs19(x0, x1, ty_@0) 13.38/5.91 new_esEs20(x0, x1, ty_Ordering) 13.38/5.91 new_esEs8(Just(x0), Just(x1), ty_Int) 13.38/5.91 new_esEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) 13.38/5.91 new_esEs9(:%(x0, x1), :%(x2, x3), x4) 13.38/5.91 new_esEs15(EQ, GT) 13.38/5.91 new_esEs15(GT, EQ) 13.38/5.91 new_primPlusNat0(Zero, Zero) 13.38/5.91 new_esEs24(x0, x1, ty_Ordering) 13.38/5.91 new_esEs23(x0, x1, ty_Double) 13.38/5.91 new_esEs15(LT, LT) 13.38/5.91 new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) 13.38/5.91 new_esEs20(x0, x1, app(ty_[], x2)) 13.38/5.91 new_esEs8(Just(x0), Nothing, x1) 13.38/5.91 new_asAs(True, x0) 13.38/5.91 new_primPlusNat1(Succ(x0), x1) 13.38/5.91 new_esEs5(x0, x1, app(app(ty_Either, x2), x3)) 13.38/5.91 new_esEs10(Float(x0, x1), Float(x2, x3)) 13.38/5.91 new_esEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 13.38/5.91 new_esEs22(x0, x1, ty_Char) 13.38/5.91 new_esEs21(x0, x1, app(ty_Maybe, x2)) 13.38/5.91 new_esEs23(x0, x1, ty_Bool) 13.38/5.91 new_esEs5(x0, x1, ty_Int) 13.38/5.91 new_esEs25(x0, x1, ty_Int) 13.38/5.91 new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 13.38/5.91 new_esEs17(Left(x0), Left(x1), ty_Char, x2) 13.38/5.91 new_esEs20(x0, x1, app(ty_Ratio, x2)) 13.38/5.91 new_esEs8(Just(x0), Just(x1), app(ty_Ratio, x2)) 13.38/5.91 new_esEs5(x0, x1, ty_Char) 13.38/5.91 new_esEs21(x0, x1, ty_@0) 13.38/5.91 new_primPlusNat1(Zero, x0) 13.38/5.91 new_asAs(False, x0) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, app(ty_[], x3)) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) 13.38/5.91 new_esEs20(x0, x1, ty_Double) 13.38/5.91 new_esEs19(x0, x1, app(ty_[], x2)) 13.38/5.91 new_esEs21(x0, x1, ty_Float) 13.38/5.91 new_primEqInt(Pos(Succ(x0)), Neg(x1)) 13.38/5.91 new_primEqInt(Neg(Succ(x0)), Pos(x1)) 13.38/5.91 new_esEs5(x0, x1, app(ty_Maybe, x2)) 13.38/5.91 new_primEqInt(Pos(Zero), Neg(Zero)) 13.38/5.91 new_primEqInt(Neg(Zero), Pos(Zero)) 13.38/5.91 new_esEs17(Left(x0), Left(x1), ty_Int, x2) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, ty_@0) 13.38/5.91 new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) 13.38/5.91 new_esEs16(True, True) 13.38/5.91 new_sr(Pos(x0), Neg(x1)) 13.38/5.91 new_sr(Neg(x0), Pos(x1)) 13.38/5.91 new_esEs5(x0, x1, ty_Float) 13.38/5.91 new_esEs8(Just(x0), Just(x1), app(ty_Maybe, x2)) 13.38/5.91 new_esEs17(Left(x0), Left(x1), ty_@0, x2) 13.38/5.91 new_esEs22(x0, x1, ty_Double) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, ty_Float) 13.38/5.91 new_esEs22(x0, x1, ty_Int) 13.38/5.91 new_esEs20(x0, x1, ty_Bool) 13.38/5.91 new_primEqInt(Neg(Succ(x0)), Neg(Zero)) 13.38/5.91 new_esEs5(x0, x1, ty_@0) 13.38/5.91 new_primPlusNat0(Succ(x0), Succ(x1)) 13.38/5.91 new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 13.38/5.91 new_primMulNat0(Succ(x0), Zero) 13.38/5.91 new_esEs21(x0, x1, app(ty_Ratio, x2)) 13.38/5.91 new_primEqInt(Pos(Zero), Neg(Succ(x0))) 13.38/5.91 new_primEqInt(Neg(Zero), Pos(Succ(x0))) 13.38/5.91 new_esEs19(x0, x1, ty_Double) 13.38/5.91 new_esEs19(x0, x1, ty_Float) 13.38/5.91 new_esEs14(@0, @0) 13.38/5.91 new_esEs22(x0, x1, app(ty_Ratio, x2)) 13.38/5.91 new_esEs22(x0, x1, ty_@0) 13.38/5.91 new_esEs17(Left(x0), Left(x1), app(ty_Ratio, x2), x3) 13.38/5.91 new_esEs24(x0, x1, app(ty_[], x2)) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, ty_Ordering) 13.38/5.91 new_esEs21(x0, x1, ty_Integer) 13.38/5.91 new_esEs23(x0, x1, ty_Char) 13.38/5.91 new_esEs24(x0, x1, ty_Bool) 13.38/5.91 new_esEs20(x0, x1, app(app(ty_@2, x2), x3)) 13.38/5.91 new_esEs8(Just(x0), Just(x1), ty_@0) 13.38/5.91 new_esEs17(Left(x0), Left(x1), ty_Float, x2) 13.38/5.91 new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) 13.38/5.91 new_esEs15(LT, GT) 13.38/5.91 new_esEs15(GT, LT) 13.38/5.91 new_primMulNat0(Succ(x0), Succ(x1)) 13.38/5.91 new_esEs4(:(x0, x1), [], x2) 13.38/5.91 new_esEs8(Nothing, Just(x0), x1) 13.38/5.91 new_esEs23(x0, x1, app(ty_Maybe, x2)) 13.38/5.91 new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 13.38/5.91 new_primEqNat0(Succ(x0), Succ(x1)) 13.38/5.91 new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) 13.38/5.91 new_esEs22(x0, x1, ty_Bool) 13.38/5.91 new_esEs13(Double(x0, x1), Double(x2, x3)) 13.38/5.91 new_esEs24(x0, x1, app(ty_Maybe, x2)) 13.38/5.91 new_primEqNat0(Succ(x0), Zero) 13.38/5.91 new_esEs20(x0, x1, ty_Char) 13.38/5.91 new_esEs17(Left(x0), Left(x1), ty_Double, x2) 13.38/5.91 new_primEqInt(Pos(Zero), Pos(Succ(x0))) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, ty_Int) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) 13.38/5.91 new_esEs5(x0, x1, app(ty_[], x2)) 13.38/5.91 new_esEs24(x0, x1, ty_Integer) 13.38/5.91 new_esEs21(x0, x1, ty_Bool) 13.38/5.91 new_esEs15(GT, GT) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, ty_Char) 13.38/5.91 new_esEs23(x0, x1, app(ty_[], x2)) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, ty_Double) 13.38/5.91 new_esEs20(x0, x1, ty_Int) 13.38/5.91 new_esEs15(LT, EQ) 13.38/5.91 new_esEs15(EQ, LT) 13.38/5.91 new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) 13.38/5.91 new_primPlusNat0(Zero, Succ(x0)) 13.38/5.91 new_esEs19(x0, x1, ty_Int) 13.38/5.91 new_esEs8(Just(x0), Just(x1), ty_Char) 13.38/5.91 new_primEqNat0(Zero, Succ(x0)) 13.38/5.91 new_esEs19(x0, x1, ty_Ordering) 13.38/5.91 new_esEs5(x0, x1, ty_Bool) 13.38/5.91 new_esEs23(x0, x1, ty_Ordering) 13.38/5.91 new_esEs26(x0, x1, ty_Int) 13.38/5.91 new_esEs20(x0, x1, ty_@0) 13.38/5.91 new_esEs17(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) 13.38/5.91 new_esEs23(x0, x1, ty_Int) 13.38/5.91 new_esEs19(x0, x1, app(ty_Maybe, x2)) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) 13.38/5.91 new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) 13.38/5.91 new_esEs24(x0, x1, ty_@0) 13.38/5.91 new_primMulNat0(Zero, Succ(x0)) 13.38/5.91 new_sr(Pos(x0), Pos(x1)) 13.38/5.91 new_primEqNat0(Zero, Zero) 13.38/5.91 new_esEs23(x0, x1, ty_Float) 13.38/5.91 new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) 13.38/5.91 new_esEs23(x0, x1, ty_@0) 13.38/5.91 new_esEs25(x0, x1, ty_Integer) 13.38/5.91 new_esEs20(x0, x1, ty_Float) 13.38/5.91 new_esEs5(x0, x1, ty_Integer) 13.38/5.91 new_esEs24(x0, x1, ty_Char) 13.38/5.91 new_sr(Neg(x0), Neg(x1)) 13.38/5.91 new_esEs20(x0, x1, app(app(ty_Either, x2), x3)) 13.38/5.91 new_esEs16(False, False) 13.38/5.91 new_esEs18(x0, x1) 13.38/5.91 new_esEs22(x0, x1, ty_Integer) 13.38/5.91 new_esEs6(Char(x0), Char(x1)) 13.38/5.91 new_esEs19(x0, x1, ty_Char) 13.38/5.91 new_esEs16(False, True) 13.38/5.91 new_esEs16(True, False) 13.38/5.91 new_esEs8(Just(x0), Just(x1), ty_Integer) 13.38/5.91 new_esEs20(x0, x1, app(ty_Maybe, x2)) 13.38/5.91 new_esEs7(Integer(x0), Integer(x1)) 13.38/5.91 new_esEs8(Just(x0), Just(x1), ty_Bool) 13.38/5.91 new_esEs17(Left(x0), Left(x1), ty_Integer, x2) 13.38/5.91 new_esEs8(Just(x0), Just(x1), app(ty_[], x2)) 13.38/5.91 new_esEs22(x0, x1, app(ty_Maybe, x2)) 13.38/5.91 new_esEs22(x0, x1, ty_Ordering) 13.38/5.91 new_primPlusNat0(Succ(x0), Zero) 13.38/5.91 new_esEs19(x0, x1, app(app(ty_@2, x2), x3)) 13.38/5.91 new_esEs19(x0, x1, app(ty_Ratio, x2)) 13.38/5.91 new_esEs5(x0, x1, app(app(ty_@2, x2), x3)) 13.38/5.91 new_esEs8(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) 13.38/5.91 new_esEs5(x0, x1, app(ty_Ratio, x2)) 13.38/5.91 new_esEs4(:(x0, x1), :(x2, x3), x4) 13.38/5.91 new_esEs19(x0, x1, ty_Bool) 13.38/5.91 new_esEs5(x0, x1, ty_Ordering) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, ty_Integer) 13.38/5.91 new_primEqInt(Neg(Zero), Neg(Succ(x0))) 13.38/5.91 new_esEs19(x0, x1, app(app(ty_Either, x2), x3)) 13.38/5.91 new_esEs17(Left(x0), Left(x1), ty_Ordering, x2) 13.38/5.91 new_esEs4([], [], x0) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) 13.38/5.91 13.38/5.91 We have to consider all minimal (P,Q,R)-chains. 13.38/5.91 ---------------------------------------- 13.38/5.91 13.38/5.91 (11) DependencyGraphProof (EQUIVALENT) 13.38/5.91 The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 2 SCCs. 13.38/5.91 ---------------------------------------- 13.38/5.91 13.38/5.91 (12) 13.38/5.91 Complex Obligation (AND) 13.38/5.91 13.38/5.91 ---------------------------------------- 13.38/5.91 13.38/5.91 (13) 13.38/5.91 Obligation: 13.38/5.91 Q DP problem: 13.38/5.91 The TRS P consists of the following rules: 13.38/5.91 13.38/5.91 new_lookup([], :(@2(:(yu4000, yu4001), yu401), yu41), bb, bc) -> new_lookup([], yu41, bb, bc) 13.38/5.91 13.38/5.91 The TRS R consists of the following rules: 13.38/5.91 13.38/5.91 new_primEqInt(Pos(Zero), Pos(Zero)) -> True 13.38/5.91 new_esEs24(yu310, yu40010, ty_Integer) -> new_esEs7(yu310, yu40010) 13.38/5.91 new_primPlusNat0(Zero, Zero) -> Zero 13.38/5.91 new_esEs24(yu310, yu40010, ty_Ordering) -> new_esEs15(yu310, yu40010) 13.38/5.91 new_esEs5(yu30, yu4000, ty_Ordering) -> new_esEs15(yu30, yu4000) 13.38/5.91 new_esEs4(:(yu310, yu311), :(yu40010, yu40011), bc) -> new_asAs(new_esEs24(yu310, yu40010, bc), new_esEs4(yu311, yu40011, bc)) 13.38/5.91 new_esEs20(yu300, yu40000, ty_Float) -> new_esEs10(yu300, yu40000) 13.38/5.91 new_esEs8(Nothing, Nothing, bd) -> True 13.38/5.91 new_esEs15(LT, LT) -> True 13.38/5.91 new_esEs12(@2(yu300, yu301), @2(yu40000, yu40001), cg, da) -> new_asAs(new_esEs20(yu300, yu40000, cg), new_esEs19(yu301, yu40001, da)) 13.38/5.91 new_esEs5(yu30, yu4000, ty_Integer) -> new_esEs7(yu30, yu4000) 13.38/5.91 new_esEs21(yu302, yu40002, app(app(ty_Either, bbf), bbg)) -> new_esEs17(yu302, yu40002, bbf, bbg) 13.38/5.91 new_esEs8(Nothing, Just(yu40000), bd) -> False 13.38/5.91 new_esEs8(Just(yu300), Nothing, bd) -> False 13.38/5.91 new_esEs5(yu30, yu4000, ty_Bool) -> new_esEs16(yu30, yu4000) 13.38/5.91 new_esEs22(yu301, yu40001, app(ty_Maybe, bdc)) -> new_esEs8(yu301, yu40001, bdc) 13.38/5.91 new_esEs20(yu300, yu40000, app(app(ty_@2, eh), fa)) -> new_esEs12(yu300, yu40000, eh, fa) 13.38/5.91 new_esEs20(yu300, yu40000, app(ty_Ratio, ed)) -> new_esEs9(yu300, yu40000, ed) 13.38/5.91 new_primMulNat0(Succ(yu30000), Succ(yu4000100)) -> new_primPlusNat1(new_primMulNat0(yu30000, Succ(yu4000100)), yu4000100) 13.38/5.91 new_esEs22(yu301, yu40001, app(ty_[], bdb)) -> new_esEs4(yu301, yu40001, bdb) 13.38/5.91 new_esEs5(yu30, yu4000, app(ty_[], beg)) -> new_esEs4(yu30, yu4000, beg) 13.38/5.91 new_esEs23(yu300, yu40000, ty_Char) -> new_esEs6(yu300, yu40000) 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, ty_Char) -> new_esEs6(yu300, yu40000) 13.38/5.91 new_esEs18(yu30, yu4000) -> new_primEqInt(yu30, yu4000) 13.38/5.91 new_asAs(True, yu33) -> yu33 13.38/5.91 new_esEs5(yu30, yu4000, app(ty_Maybe, bd)) -> new_esEs8(yu30, yu4000, bd) 13.38/5.91 new_esEs21(yu302, yu40002, app(app(app(ty_@3, bba), bbb), bbc)) -> new_esEs11(yu302, yu40002, bba, bbb, bbc) 13.38/5.91 new_esEs22(yu301, yu40001, ty_Integer) -> new_esEs7(yu301, yu40001) 13.38/5.91 new_esEs24(yu310, yu40010, ty_@0) -> new_esEs14(yu310, yu40010) 13.38/5.91 new_primEqInt(Pos(Succ(yu3000)), Pos(Zero)) -> False 13.38/5.91 new_primEqInt(Pos(Zero), Pos(Succ(yu400000))) -> False 13.38/5.91 new_esEs5(yu30, yu4000, ty_Double) -> new_esEs13(yu30, yu4000) 13.38/5.91 new_esEs6(Char(yu300), Char(yu40000)) -> new_primEqNat0(yu300, yu40000) 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), app(app(ty_@2, gd), ge), fh) -> new_esEs12(yu300, yu40000, gd, ge) 13.38/5.91 new_esEs23(yu300, yu40000, app(app(ty_Either, beb), bec)) -> new_esEs17(yu300, yu40000, beb, bec) 13.38/5.91 new_esEs24(yu310, yu40010, ty_Double) -> new_esEs13(yu310, yu40010) 13.38/5.91 new_esEs21(yu302, yu40002, ty_Bool) -> new_esEs16(yu302, yu40002) 13.38/5.91 new_primEqNat0(Succ(yu3000), Succ(yu400000)) -> new_primEqNat0(yu3000, yu400000) 13.38/5.91 new_esEs21(yu302, yu40002, ty_Char) -> new_esEs6(yu302, yu40002) 13.38/5.91 new_esEs21(yu302, yu40002, ty_Double) -> new_esEs13(yu302, yu40002) 13.38/5.91 new_esEs20(yu300, yu40000, app(ty_Maybe, ff)) -> new_esEs8(yu300, yu40000, ff) 13.38/5.91 new_esEs5(yu30, yu4000, app(app(app(ty_@3, bae), baf), bag)) -> new_esEs11(yu30, yu4000, bae, baf, bag) 13.38/5.91 new_esEs20(yu300, yu40000, ty_Ordering) -> new_esEs15(yu300, yu40000) 13.38/5.91 new_esEs24(yu310, yu40010, ty_Bool) -> new_esEs16(yu310, yu40010) 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), ty_Char, fh) -> new_esEs6(yu300, yu40000) 13.38/5.91 new_esEs24(yu310, yu40010, app(ty_[], beg)) -> new_esEs4(yu310, yu40010, beg) 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, ty_Float) -> new_esEs10(yu300, yu40000) 13.38/5.91 new_primMulNat0(Zero, Zero) -> Zero 13.38/5.91 new_esEs23(yu300, yu40000, app(app(app(ty_@3, bde), bdf), bdg)) -> new_esEs11(yu300, yu40000, bde, bdf, bdg) 13.38/5.91 new_esEs24(yu310, yu40010, app(app(ty_@2, cg), da)) -> new_esEs12(yu310, yu40010, cg, da) 13.38/5.91 new_esEs5(yu30, yu4000, app(ty_Ratio, bef)) -> new_esEs9(yu30, yu4000, bef) 13.38/5.91 new_esEs24(yu310, yu40010, ty_Int) -> new_esEs18(yu310, yu40010) 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), ty_Char) -> new_esEs6(yu300, yu40000) 13.38/5.91 new_esEs20(yu300, yu40000, ty_Integer) -> new_esEs7(yu300, yu40000) 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, app(ty_[], bac)) -> new_esEs4(yu300, yu40000, bac) 13.38/5.91 new_esEs24(yu310, yu40010, ty_Float) -> new_esEs10(yu310, yu40010) 13.38/5.91 new_esEs15(LT, EQ) -> False 13.38/5.91 new_esEs15(EQ, LT) -> False 13.38/5.91 new_esEs21(yu302, yu40002, ty_@0) -> new_esEs14(yu302, yu40002) 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), app(ty_[], gh), fh) -> new_esEs4(yu300, yu40000, gh) 13.38/5.91 new_primEqNat0(Succ(yu3000), Zero) -> False 13.38/5.91 new_primEqNat0(Zero, Succ(yu400000)) -> False 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, ty_Double) -> new_esEs13(yu300, yu40000) 13.38/5.91 new_esEs14(@0, @0) -> True 13.38/5.91 new_esEs23(yu300, yu40000, ty_Int) -> new_esEs18(yu300, yu40000) 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, ty_Int) -> new_esEs18(yu300, yu40000) 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), ty_Ordering) -> new_esEs15(yu300, yu40000) 13.38/5.91 new_esEs26(yu300, yu40000, ty_Integer) -> new_esEs7(yu300, yu40000) 13.38/5.91 new_esEs20(yu300, yu40000, ty_Bool) -> new_esEs16(yu300, yu40000) 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), ty_Ordering, fh) -> new_esEs15(yu300, yu40000) 13.38/5.91 new_esEs21(yu302, yu40002, app(ty_Maybe, bca)) -> new_esEs8(yu302, yu40002, bca) 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), ty_Float) -> new_esEs10(yu300, yu40000) 13.38/5.91 new_primEqInt(Neg(Succ(yu3000)), Neg(Zero)) -> False 13.38/5.91 new_primEqInt(Neg(Zero), Neg(Succ(yu400000))) -> False 13.38/5.91 new_esEs20(yu300, yu40000, ty_Char) -> new_esEs6(yu300, yu40000) 13.38/5.91 new_esEs19(yu301, yu40001, app(app(ty_@2, df), dg)) -> new_esEs12(yu301, yu40001, df, dg) 13.38/5.91 new_esEs20(yu300, yu40000, ty_@0) -> new_esEs14(yu300, yu40000) 13.38/5.91 new_primEqInt(Pos(Succ(yu3000)), Pos(Succ(yu400000))) -> new_primEqNat0(yu3000, yu400000) 13.38/5.91 new_esEs20(yu300, yu40000, ty_Double) -> new_esEs13(yu300, yu40000) 13.38/5.91 new_esEs17(Left(yu300), Right(yu40000), hb, fh) -> False 13.38/5.91 new_esEs17(Right(yu300), Left(yu40000), hb, fh) -> False 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), ty_Int, fh) -> new_esEs18(yu300, yu40000) 13.38/5.91 new_esEs19(yu301, yu40001, ty_Double) -> new_esEs13(yu301, yu40001) 13.38/5.91 new_esEs16(True, True) -> True 13.38/5.91 new_sr(Pos(yu3000), Neg(yu400010)) -> Neg(new_primMulNat0(yu3000, yu400010)) 13.38/5.91 new_sr(Neg(yu3000), Pos(yu400010)) -> Neg(new_primMulNat0(yu3000, yu400010)) 13.38/5.91 new_esEs5(yu30, yu4000, ty_Int) -> new_esEs18(yu30, yu4000) 13.38/5.91 new_esEs22(yu301, yu40001, app(app(app(ty_@3, bcc), bcd), bce)) -> new_esEs11(yu301, yu40001, bcc, bcd, bce) 13.38/5.91 new_primEqInt(Pos(Succ(yu3000)), Neg(yu40000)) -> False 13.38/5.91 new_primEqInt(Neg(Succ(yu3000)), Pos(yu40000)) -> False 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, app(app(app(ty_@3, hd), he), hf)) -> new_esEs11(yu300, yu40000, hd, he, hf) 13.38/5.91 new_esEs22(yu301, yu40001, app(ty_Ratio, bcb)) -> new_esEs9(yu301, yu40001, bcb) 13.38/5.91 new_esEs19(yu301, yu40001, ty_Char) -> new_esEs6(yu301, yu40001) 13.38/5.91 new_esEs21(yu302, yu40002, ty_Integer) -> new_esEs7(yu302, yu40002) 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), app(app(ty_@2, ca), cb)) -> new_esEs12(yu300, yu40000, ca, cb) 13.38/5.91 new_esEs19(yu301, yu40001, ty_Float) -> new_esEs10(yu301, yu40001) 13.38/5.91 new_esEs22(yu301, yu40001, app(app(ty_Either, bch), bda)) -> new_esEs17(yu301, yu40001, bch, bda) 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, ty_Ordering) -> new_esEs15(yu300, yu40000) 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, ty_Integer) -> new_esEs7(yu300, yu40000) 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), ty_Bool) -> new_esEs16(yu300, yu40000) 13.38/5.91 new_esEs23(yu300, yu40000, app(ty_Maybe, bee)) -> new_esEs8(yu300, yu40000, bee) 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, app(app(ty_@2, hg), hh)) -> new_esEs12(yu300, yu40000, hg, hh) 13.38/5.91 new_esEs15(EQ, EQ) -> True 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), app(app(app(ty_@3, bf), bg), bh)) -> new_esEs11(yu300, yu40000, bf, bg, bh) 13.38/5.91 new_esEs21(yu302, yu40002, app(ty_Ratio, bah)) -> new_esEs9(yu302, yu40002, bah) 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), ty_Double) -> new_esEs13(yu300, yu40000) 13.38/5.91 new_esEs19(yu301, yu40001, ty_Bool) -> new_esEs16(yu301, yu40001) 13.38/5.91 new_esEs15(GT, GT) -> True 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), ty_@0) -> new_esEs14(yu300, yu40000) 13.38/5.91 new_sr(Neg(yu3000), Neg(yu400010)) -> Pos(new_primMulNat0(yu3000, yu400010)) 13.38/5.91 new_esEs15(EQ, GT) -> False 13.38/5.91 new_esEs15(GT, EQ) -> False 13.38/5.91 new_esEs22(yu301, yu40001, ty_Char) -> new_esEs6(yu301, yu40001) 13.38/5.91 new_esEs23(yu300, yu40000, app(ty_[], bed)) -> new_esEs4(yu300, yu40000, bed) 13.38/5.91 new_esEs20(yu300, yu40000, ty_Int) -> new_esEs18(yu300, yu40000) 13.38/5.91 new_esEs19(yu301, yu40001, app(app(app(ty_@3, dc), dd), de)) -> new_esEs11(yu301, yu40001, dc, dd, de) 13.38/5.91 new_primEqInt(Pos(Zero), Neg(Succ(yu400000))) -> False 13.38/5.91 new_primEqInt(Neg(Zero), Pos(Succ(yu400000))) -> False 13.38/5.91 new_esEs23(yu300, yu40000, ty_Integer) -> new_esEs7(yu300, yu40000) 13.38/5.91 new_esEs19(yu301, yu40001, ty_@0) -> new_esEs14(yu301, yu40001) 13.38/5.91 new_primPlusNat0(Succ(yu3400), Succ(yu40001000)) -> Succ(Succ(new_primPlusNat0(yu3400, yu40001000))) 13.38/5.91 new_esEs11(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), bae, baf, bag) -> new_asAs(new_esEs23(yu300, yu40000, bae), new_asAs(new_esEs22(yu301, yu40001, baf), new_esEs21(yu302, yu40002, bag))) 13.38/5.91 new_esEs19(yu301, yu40001, ty_Integer) -> new_esEs7(yu301, yu40001) 13.38/5.91 new_esEs24(yu310, yu40010, ty_Char) -> new_esEs6(yu310, yu40010) 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, app(ty_Ratio, hc)) -> new_esEs9(yu300, yu40000, hc) 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, ty_@0) -> new_esEs14(yu300, yu40000) 13.38/5.91 new_esEs19(yu301, yu40001, ty_Int) -> new_esEs18(yu301, yu40001) 13.38/5.91 new_esEs20(yu300, yu40000, app(app(app(ty_@3, ee), ef), eg)) -> new_esEs11(yu300, yu40000, ee, ef, eg) 13.38/5.91 new_esEs20(yu300, yu40000, app(app(ty_Either, fb), fc)) -> new_esEs17(yu300, yu40000, fb, fc) 13.38/5.91 new_primEqInt(Neg(Succ(yu3000)), Neg(Succ(yu400000))) -> new_primEqNat0(yu3000, yu400000) 13.38/5.91 new_esEs21(yu302, yu40002, app(ty_[], bbh)) -> new_esEs4(yu302, yu40002, bbh) 13.38/5.91 new_esEs19(yu301, yu40001, ty_Ordering) -> new_esEs15(yu301, yu40001) 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), app(app(app(ty_@3, ga), gb), gc), fh) -> new_esEs11(yu300, yu40000, ga, gb, gc) 13.38/5.91 new_esEs23(yu300, yu40000, app(ty_Ratio, bdd)) -> new_esEs9(yu300, yu40000, bdd) 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), ty_Integer) -> new_esEs7(yu300, yu40000) 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, ty_Bool) -> new_esEs16(yu300, yu40000) 13.38/5.91 new_esEs5(yu30, yu4000, ty_Char) -> new_esEs6(yu30, yu4000) 13.38/5.91 new_esEs23(yu300, yu40000, ty_Ordering) -> new_esEs15(yu300, yu40000) 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), app(app(ty_Either, gf), gg), fh) -> new_esEs17(yu300, yu40000, gf, gg) 13.38/5.91 new_esEs25(yu301, yu40001, ty_Integer) -> new_esEs7(yu301, yu40001) 13.38/5.91 new_esEs21(yu302, yu40002, app(app(ty_@2, bbd), bbe)) -> new_esEs12(yu302, yu40002, bbd, bbe) 13.38/5.91 new_esEs25(yu301, yu40001, ty_Int) -> new_esEs18(yu301, yu40001) 13.38/5.91 new_esEs22(yu301, yu40001, ty_Int) -> new_esEs18(yu301, yu40001) 13.38/5.91 new_primMulNat0(Succ(yu30000), Zero) -> Zero 13.38/5.91 new_primMulNat0(Zero, Succ(yu4000100)) -> Zero 13.38/5.91 new_sr(Pos(yu3000), Pos(yu400010)) -> Pos(new_primMulNat0(yu3000, yu400010)) 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), ty_Float, fh) -> new_esEs10(yu300, yu40000) 13.38/5.91 new_esEs5(yu30, yu4000, app(app(ty_Either, hb), fh)) -> new_esEs17(yu30, yu4000, hb, fh) 13.38/5.91 new_primPlusNat1(Succ(yu340), yu4000100) -> Succ(Succ(new_primPlusNat0(yu340, yu4000100))) 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), ty_Int) -> new_esEs18(yu300, yu40000) 13.38/5.91 new_esEs21(yu302, yu40002, ty_Float) -> new_esEs10(yu302, yu40002) 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), app(ty_Ratio, fg), fh) -> new_esEs9(yu300, yu40000, fg) 13.38/5.91 new_esEs15(LT, GT) -> False 13.38/5.91 new_esEs15(GT, LT) -> False 13.38/5.91 new_primPlusNat0(Succ(yu3400), Zero) -> Succ(yu3400) 13.38/5.91 new_primPlusNat0(Zero, Succ(yu40001000)) -> Succ(yu40001000) 13.38/5.91 new_esEs22(yu301, yu40001, ty_@0) -> new_esEs14(yu301, yu40001) 13.38/5.91 new_esEs22(yu301, yu40001, ty_Bool) -> new_esEs16(yu301, yu40001) 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), ty_Double, fh) -> new_esEs13(yu300, yu40000) 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), ty_@0, fh) -> new_esEs14(yu300, yu40000) 13.38/5.91 new_primEqInt(Neg(Zero), Neg(Zero)) -> True 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), app(ty_[], ce)) -> new_esEs4(yu300, yu40000, ce) 13.38/5.91 new_esEs5(yu30, yu4000, app(app(ty_@2, cg), da)) -> new_esEs12(yu30, yu4000, cg, da) 13.38/5.91 new_primPlusNat1(Zero, yu4000100) -> Succ(yu4000100) 13.38/5.91 new_esEs5(yu30, yu4000, ty_Float) -> new_esEs10(yu30, yu4000) 13.38/5.91 new_esEs22(yu301, yu40001, ty_Double) -> new_esEs13(yu301, yu40001) 13.38/5.91 new_esEs19(yu301, yu40001, app(app(ty_Either, dh), ea)) -> new_esEs17(yu301, yu40001, dh, ea) 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, app(ty_Maybe, bad)) -> new_esEs8(yu300, yu40000, bad) 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), ty_Bool, fh) -> new_esEs16(yu300, yu40000) 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), app(app(ty_Either, cc), cd)) -> new_esEs17(yu300, yu40000, cc, cd) 13.38/5.91 new_esEs16(False, False) -> True 13.38/5.91 new_esEs4(:(yu310, yu311), [], bc) -> False 13.38/5.91 new_esEs4([], :(yu40010, yu40011), bc) -> False 13.38/5.91 new_esEs9(:%(yu300, yu301), :%(yu40000, yu40001), bef) -> new_asAs(new_esEs26(yu300, yu40000, bef), new_esEs25(yu301, yu40001, bef)) 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), app(ty_Maybe, ha), fh) -> new_esEs8(yu300, yu40000, ha) 13.38/5.91 new_esEs23(yu300, yu40000, app(app(ty_@2, bdh), bea)) -> new_esEs12(yu300, yu40000, bdh, bea) 13.38/5.91 new_esEs24(yu310, yu40010, app(app(app(ty_@3, bae), baf), bag)) -> new_esEs11(yu310, yu40010, bae, baf, bag) 13.38/5.91 new_esEs19(yu301, yu40001, app(ty_Maybe, ec)) -> new_esEs8(yu301, yu40001, ec) 13.38/5.91 new_esEs23(yu300, yu40000, ty_Bool) -> new_esEs16(yu300, yu40000) 13.38/5.91 new_esEs21(yu302, yu40002, ty_Ordering) -> new_esEs15(yu302, yu40002) 13.38/5.91 new_esEs24(yu310, yu40010, app(ty_Ratio, bef)) -> new_esEs9(yu310, yu40010, bef) 13.38/5.91 new_esEs13(Double(yu300, yu301), Double(yu40000, yu40001)) -> new_esEs18(new_sr(yu300, yu40001), new_sr(yu301, yu40000)) 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, app(app(ty_Either, baa), bab)) -> new_esEs17(yu300, yu40000, baa, bab) 13.38/5.91 new_primEqInt(Pos(Zero), Neg(Zero)) -> True 13.38/5.91 new_primEqInt(Neg(Zero), Pos(Zero)) -> True 13.38/5.91 new_esEs23(yu300, yu40000, ty_Double) -> new_esEs13(yu300, yu40000) 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), app(ty_Maybe, cf)) -> new_esEs8(yu300, yu40000, cf) 13.38/5.91 new_esEs23(yu300, yu40000, ty_Float) -> new_esEs10(yu300, yu40000) 13.38/5.91 new_esEs22(yu301, yu40001, ty_Ordering) -> new_esEs15(yu301, yu40001) 13.38/5.91 new_esEs26(yu300, yu40000, ty_Int) -> new_esEs18(yu300, yu40000) 13.38/5.91 new_esEs22(yu301, yu40001, app(app(ty_@2, bcf), bcg)) -> new_esEs12(yu301, yu40001, bcf, bcg) 13.38/5.91 new_primEqNat0(Zero, Zero) -> True 13.38/5.91 new_esEs21(yu302, yu40002, ty_Int) -> new_esEs18(yu302, yu40002) 13.38/5.91 new_esEs5(yu30, yu4000, ty_@0) -> new_esEs14(yu30, yu4000) 13.38/5.91 new_esEs24(yu310, yu40010, app(app(ty_Either, hb), fh)) -> new_esEs17(yu310, yu40010, hb, fh) 13.38/5.91 new_esEs4([], [], bc) -> True 13.38/5.91 new_asAs(False, yu33) -> False 13.38/5.91 new_esEs19(yu301, yu40001, app(ty_[], eb)) -> new_esEs4(yu301, yu40001, eb) 13.38/5.91 new_esEs22(yu301, yu40001, ty_Float) -> new_esEs10(yu301, yu40001) 13.38/5.91 new_esEs10(Float(yu300, yu301), Float(yu40000, yu40001)) -> new_esEs18(new_sr(yu300, yu40001), new_sr(yu301, yu40000)) 13.38/5.91 new_esEs24(yu310, yu40010, app(ty_Maybe, bd)) -> new_esEs8(yu310, yu40010, bd) 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), ty_Integer, fh) -> new_esEs7(yu300, yu40000) 13.38/5.91 new_esEs23(yu300, yu40000, ty_@0) -> new_esEs14(yu300, yu40000) 13.38/5.91 new_esEs19(yu301, yu40001, app(ty_Ratio, db)) -> new_esEs9(yu301, yu40001, db) 13.38/5.91 new_esEs7(Integer(yu300), Integer(yu40000)) -> new_primEqInt(yu300, yu40000) 13.38/5.91 new_esEs16(False, True) -> False 13.38/5.91 new_esEs16(True, False) -> False 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), app(ty_Ratio, be)) -> new_esEs9(yu300, yu40000, be) 13.38/5.91 new_esEs20(yu300, yu40000, app(ty_[], fd)) -> new_esEs4(yu300, yu40000, fd) 13.38/5.91 13.38/5.91 The set Q consists of the following terms: 13.38/5.91 13.38/5.91 new_esEs26(x0, x1, ty_Integer) 13.38/5.91 new_esEs4([], :(x0, x1), x2) 13.38/5.91 new_esEs17(Left(x0), Left(x1), ty_Bool, x2) 13.38/5.91 new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 13.38/5.91 new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 13.38/5.91 new_esEs24(x0, x1, ty_Float) 13.38/5.91 new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 13.38/5.91 new_esEs21(x0, x1, ty_Int) 13.38/5.91 new_esEs22(x0, x1, app(ty_[], x2)) 13.38/5.91 new_esEs23(x0, x1, app(ty_Ratio, x2)) 13.38/5.91 new_esEs23(x0, x1, ty_Integer) 13.38/5.91 new_primMulNat0(Zero, Zero) 13.38/5.91 new_esEs22(x0, x1, ty_Float) 13.38/5.91 new_primEqInt(Pos(Succ(x0)), Pos(Zero)) 13.38/5.91 new_esEs21(x0, x1, app(ty_[], x2)) 13.38/5.91 new_esEs15(EQ, EQ) 13.38/5.91 new_esEs21(x0, x1, ty_Ordering) 13.38/5.91 new_esEs8(Nothing, Nothing, x0) 13.38/5.91 new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) 13.38/5.91 new_esEs24(x0, x1, ty_Double) 13.38/5.91 new_esEs17(Left(x0), Left(x1), app(ty_[], x2), x3) 13.38/5.91 new_esEs17(Left(x0), Right(x1), x2, x3) 13.38/5.91 new_esEs17(Right(x0), Left(x1), x2, x3) 13.38/5.91 new_esEs5(x0, x1, ty_Double) 13.38/5.91 new_esEs8(Just(x0), Just(x1), ty_Float) 13.38/5.91 new_esEs8(Just(x0), Just(x1), ty_Ordering) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) 13.38/5.91 new_esEs8(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) 13.38/5.91 new_esEs21(x0, x1, ty_Double) 13.38/5.91 new_primEqInt(Pos(Zero), Pos(Zero)) 13.38/5.91 new_esEs12(@2(x0, x1), @2(x2, x3), x4, x5) 13.38/5.91 new_esEs24(x0, x1, ty_Int) 13.38/5.91 new_esEs8(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) 13.38/5.91 new_esEs17(Left(x0), Left(x1), app(ty_Maybe, x2), x3) 13.38/5.91 new_esEs24(x0, x1, app(ty_Ratio, x2)) 13.38/5.91 new_esEs17(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) 13.38/5.91 new_esEs20(x0, x1, ty_Integer) 13.38/5.91 new_esEs8(Just(x0), Just(x1), ty_Double) 13.38/5.91 new_esEs17(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) 13.38/5.91 new_esEs19(x0, x1, ty_Integer) 13.38/5.91 new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, ty_Bool) 13.38/5.91 new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) 13.38/5.91 new_primEqInt(Neg(Zero), Neg(Zero)) 13.38/5.91 new_esEs21(x0, x1, ty_Char) 13.38/5.91 new_esEs19(x0, x1, ty_@0) 13.38/5.91 new_esEs20(x0, x1, ty_Ordering) 13.38/5.91 new_esEs8(Just(x0), Just(x1), ty_Int) 13.38/5.91 new_esEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) 13.38/5.91 new_esEs9(:%(x0, x1), :%(x2, x3), x4) 13.38/5.91 new_esEs15(EQ, GT) 13.38/5.91 new_esEs15(GT, EQ) 13.38/5.91 new_primPlusNat0(Zero, Zero) 13.38/5.91 new_esEs24(x0, x1, ty_Ordering) 13.38/5.91 new_esEs23(x0, x1, ty_Double) 13.38/5.91 new_esEs15(LT, LT) 13.38/5.91 new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) 13.38/5.91 new_esEs20(x0, x1, app(ty_[], x2)) 13.38/5.91 new_esEs8(Just(x0), Nothing, x1) 13.38/5.91 new_asAs(True, x0) 13.38/5.91 new_primPlusNat1(Succ(x0), x1) 13.38/5.91 new_esEs5(x0, x1, app(app(ty_Either, x2), x3)) 13.38/5.91 new_esEs10(Float(x0, x1), Float(x2, x3)) 13.38/5.91 new_esEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 13.38/5.91 new_esEs22(x0, x1, ty_Char) 13.38/5.91 new_esEs21(x0, x1, app(ty_Maybe, x2)) 13.38/5.91 new_esEs23(x0, x1, ty_Bool) 13.38/5.91 new_esEs5(x0, x1, ty_Int) 13.38/5.91 new_esEs25(x0, x1, ty_Int) 13.38/5.91 new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 13.38/5.91 new_esEs17(Left(x0), Left(x1), ty_Char, x2) 13.38/5.91 new_esEs20(x0, x1, app(ty_Ratio, x2)) 13.38/5.91 new_esEs8(Just(x0), Just(x1), app(ty_Ratio, x2)) 13.38/5.91 new_esEs5(x0, x1, ty_Char) 13.38/5.91 new_esEs21(x0, x1, ty_@0) 13.38/5.91 new_primPlusNat1(Zero, x0) 13.38/5.91 new_asAs(False, x0) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, app(ty_[], x3)) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) 13.38/5.91 new_esEs20(x0, x1, ty_Double) 13.38/5.91 new_esEs19(x0, x1, app(ty_[], x2)) 13.38/5.91 new_esEs21(x0, x1, ty_Float) 13.38/5.91 new_primEqInt(Pos(Succ(x0)), Neg(x1)) 13.38/5.91 new_primEqInt(Neg(Succ(x0)), Pos(x1)) 13.38/5.91 new_esEs5(x0, x1, app(ty_Maybe, x2)) 13.38/5.91 new_primEqInt(Pos(Zero), Neg(Zero)) 13.38/5.91 new_primEqInt(Neg(Zero), Pos(Zero)) 13.38/5.91 new_esEs17(Left(x0), Left(x1), ty_Int, x2) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, ty_@0) 13.38/5.91 new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) 13.38/5.91 new_esEs16(True, True) 13.38/5.91 new_sr(Pos(x0), Neg(x1)) 13.38/5.91 new_sr(Neg(x0), Pos(x1)) 13.38/5.91 new_esEs5(x0, x1, ty_Float) 13.38/5.91 new_esEs8(Just(x0), Just(x1), app(ty_Maybe, x2)) 13.38/5.91 new_esEs17(Left(x0), Left(x1), ty_@0, x2) 13.38/5.91 new_esEs22(x0, x1, ty_Double) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, ty_Float) 13.38/5.91 new_esEs22(x0, x1, ty_Int) 13.38/5.91 new_esEs20(x0, x1, ty_Bool) 13.38/5.91 new_primEqInt(Neg(Succ(x0)), Neg(Zero)) 13.38/5.91 new_esEs5(x0, x1, ty_@0) 13.38/5.91 new_primPlusNat0(Succ(x0), Succ(x1)) 13.38/5.91 new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 13.38/5.91 new_primMulNat0(Succ(x0), Zero) 13.38/5.91 new_esEs21(x0, x1, app(ty_Ratio, x2)) 13.38/5.91 new_primEqInt(Pos(Zero), Neg(Succ(x0))) 13.38/5.91 new_primEqInt(Neg(Zero), Pos(Succ(x0))) 13.38/5.91 new_esEs19(x0, x1, ty_Double) 13.38/5.91 new_esEs19(x0, x1, ty_Float) 13.38/5.91 new_esEs14(@0, @0) 13.38/5.91 new_esEs22(x0, x1, app(ty_Ratio, x2)) 13.38/5.91 new_esEs22(x0, x1, ty_@0) 13.38/5.91 new_esEs17(Left(x0), Left(x1), app(ty_Ratio, x2), x3) 13.38/5.91 new_esEs24(x0, x1, app(ty_[], x2)) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, ty_Ordering) 13.38/5.91 new_esEs21(x0, x1, ty_Integer) 13.38/5.91 new_esEs23(x0, x1, ty_Char) 13.38/5.91 new_esEs24(x0, x1, ty_Bool) 13.38/5.91 new_esEs20(x0, x1, app(app(ty_@2, x2), x3)) 13.38/5.91 new_esEs8(Just(x0), Just(x1), ty_@0) 13.38/5.91 new_esEs17(Left(x0), Left(x1), ty_Float, x2) 13.38/5.91 new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) 13.38/5.91 new_esEs15(LT, GT) 13.38/5.91 new_esEs15(GT, LT) 13.38/5.91 new_primMulNat0(Succ(x0), Succ(x1)) 13.38/5.91 new_esEs4(:(x0, x1), [], x2) 13.38/5.91 new_esEs8(Nothing, Just(x0), x1) 13.38/5.91 new_esEs23(x0, x1, app(ty_Maybe, x2)) 13.38/5.91 new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 13.38/5.91 new_primEqNat0(Succ(x0), Succ(x1)) 13.38/5.91 new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) 13.38/5.91 new_esEs22(x0, x1, ty_Bool) 13.38/5.91 new_esEs13(Double(x0, x1), Double(x2, x3)) 13.38/5.91 new_esEs24(x0, x1, app(ty_Maybe, x2)) 13.38/5.91 new_primEqNat0(Succ(x0), Zero) 13.38/5.91 new_esEs20(x0, x1, ty_Char) 13.38/5.91 new_esEs17(Left(x0), Left(x1), ty_Double, x2) 13.38/5.91 new_primEqInt(Pos(Zero), Pos(Succ(x0))) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, ty_Int) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) 13.38/5.91 new_esEs5(x0, x1, app(ty_[], x2)) 13.38/5.91 new_esEs24(x0, x1, ty_Integer) 13.38/5.91 new_esEs21(x0, x1, ty_Bool) 13.38/5.91 new_esEs15(GT, GT) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, ty_Char) 13.38/5.91 new_esEs23(x0, x1, app(ty_[], x2)) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, ty_Double) 13.38/5.91 new_esEs20(x0, x1, ty_Int) 13.38/5.91 new_esEs15(LT, EQ) 13.38/5.91 new_esEs15(EQ, LT) 13.38/5.91 new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) 13.38/5.91 new_primPlusNat0(Zero, Succ(x0)) 13.38/5.91 new_esEs19(x0, x1, ty_Int) 13.38/5.91 new_esEs8(Just(x0), Just(x1), ty_Char) 13.38/5.91 new_primEqNat0(Zero, Succ(x0)) 13.38/5.91 new_esEs19(x0, x1, ty_Ordering) 13.38/5.91 new_esEs5(x0, x1, ty_Bool) 13.38/5.91 new_esEs23(x0, x1, ty_Ordering) 13.38/5.91 new_esEs26(x0, x1, ty_Int) 13.38/5.91 new_esEs20(x0, x1, ty_@0) 13.38/5.91 new_esEs17(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) 13.38/5.91 new_esEs23(x0, x1, ty_Int) 13.38/5.91 new_esEs19(x0, x1, app(ty_Maybe, x2)) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) 13.38/5.91 new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) 13.38/5.91 new_esEs24(x0, x1, ty_@0) 13.38/5.91 new_primMulNat0(Zero, Succ(x0)) 13.38/5.91 new_sr(Pos(x0), Pos(x1)) 13.38/5.91 new_primEqNat0(Zero, Zero) 13.38/5.91 new_esEs23(x0, x1, ty_Float) 13.38/5.91 new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) 13.38/5.91 new_esEs23(x0, x1, ty_@0) 13.38/5.91 new_esEs25(x0, x1, ty_Integer) 13.38/5.91 new_esEs20(x0, x1, ty_Float) 13.38/5.91 new_esEs5(x0, x1, ty_Integer) 13.38/5.91 new_esEs24(x0, x1, ty_Char) 13.38/5.91 new_sr(Neg(x0), Neg(x1)) 13.38/5.91 new_esEs20(x0, x1, app(app(ty_Either, x2), x3)) 13.38/5.91 new_esEs16(False, False) 13.38/5.91 new_esEs18(x0, x1) 13.38/5.91 new_esEs22(x0, x1, ty_Integer) 13.38/5.91 new_esEs6(Char(x0), Char(x1)) 13.38/5.91 new_esEs19(x0, x1, ty_Char) 13.38/5.91 new_esEs16(False, True) 13.38/5.91 new_esEs16(True, False) 13.38/5.91 new_esEs8(Just(x0), Just(x1), ty_Integer) 13.38/5.91 new_esEs20(x0, x1, app(ty_Maybe, x2)) 13.38/5.91 new_esEs7(Integer(x0), Integer(x1)) 13.38/5.91 new_esEs8(Just(x0), Just(x1), ty_Bool) 13.38/5.91 new_esEs17(Left(x0), Left(x1), ty_Integer, x2) 13.38/5.91 new_esEs8(Just(x0), Just(x1), app(ty_[], x2)) 13.38/5.91 new_esEs22(x0, x1, app(ty_Maybe, x2)) 13.38/5.91 new_esEs22(x0, x1, ty_Ordering) 13.38/5.91 new_primPlusNat0(Succ(x0), Zero) 13.38/5.91 new_esEs19(x0, x1, app(app(ty_@2, x2), x3)) 13.38/5.91 new_esEs19(x0, x1, app(ty_Ratio, x2)) 13.38/5.91 new_esEs5(x0, x1, app(app(ty_@2, x2), x3)) 13.38/5.91 new_esEs8(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) 13.38/5.91 new_esEs5(x0, x1, app(ty_Ratio, x2)) 13.38/5.91 new_esEs4(:(x0, x1), :(x2, x3), x4) 13.38/5.91 new_esEs19(x0, x1, ty_Bool) 13.38/5.91 new_esEs5(x0, x1, ty_Ordering) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, ty_Integer) 13.38/5.91 new_primEqInt(Neg(Zero), Neg(Succ(x0))) 13.38/5.91 new_esEs19(x0, x1, app(app(ty_Either, x2), x3)) 13.38/5.91 new_esEs17(Left(x0), Left(x1), ty_Ordering, x2) 13.38/5.91 new_esEs4([], [], x0) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) 13.38/5.91 13.38/5.91 We have to consider all minimal (P,Q,R)-chains. 13.38/5.91 ---------------------------------------- 13.38/5.91 13.38/5.91 (14) QDPSizeChangeProof (EQUIVALENT) 13.38/5.91 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. 13.38/5.91 13.38/5.91 From the DPs we obtained the following set of size-change graphs: 13.38/5.91 *new_lookup([], :(@2(:(yu4000, yu4001), yu401), yu41), bb, bc) -> new_lookup([], yu41, bb, bc) 13.38/5.91 The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3, 4 >= 4 13.38/5.91 13.38/5.91 13.38/5.91 ---------------------------------------- 13.38/5.91 13.38/5.91 (15) 13.38/5.91 YES 13.38/5.91 13.38/5.91 ---------------------------------------- 13.38/5.91 13.38/5.91 (16) 13.38/5.91 Obligation: 13.38/5.91 Q DP problem: 13.38/5.91 The TRS P consists of the following rules: 13.38/5.91 13.38/5.91 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) 13.38/5.91 new_lookup1(yu13, yu14, yu15, yu16, yu17, yu18, False, h, ba) -> new_lookup(:(yu13, yu14), yu18, h, ba) 13.38/5.91 new_lookup(:(yu30, yu31), :(@2([], yu401), yu41), bb, bc) -> new_lookup(:(yu30, yu31), yu41, bb, bc) 13.38/5.91 13.38/5.91 The TRS R consists of the following rules: 13.38/5.91 13.38/5.91 new_primEqInt(Pos(Zero), Pos(Zero)) -> True 13.38/5.91 new_esEs24(yu310, yu40010, ty_Integer) -> new_esEs7(yu310, yu40010) 13.38/5.91 new_primPlusNat0(Zero, Zero) -> Zero 13.38/5.91 new_esEs24(yu310, yu40010, ty_Ordering) -> new_esEs15(yu310, yu40010) 13.38/5.91 new_esEs5(yu30, yu4000, ty_Ordering) -> new_esEs15(yu30, yu4000) 13.38/5.91 new_esEs4(:(yu310, yu311), :(yu40010, yu40011), bc) -> new_asAs(new_esEs24(yu310, yu40010, bc), new_esEs4(yu311, yu40011, bc)) 13.38/5.91 new_esEs20(yu300, yu40000, ty_Float) -> new_esEs10(yu300, yu40000) 13.38/5.91 new_esEs8(Nothing, Nothing, bd) -> True 13.38/5.91 new_esEs15(LT, LT) -> True 13.38/5.91 new_esEs12(@2(yu300, yu301), @2(yu40000, yu40001), cg, da) -> new_asAs(new_esEs20(yu300, yu40000, cg), new_esEs19(yu301, yu40001, da)) 13.38/5.91 new_esEs5(yu30, yu4000, ty_Integer) -> new_esEs7(yu30, yu4000) 13.38/5.91 new_esEs21(yu302, yu40002, app(app(ty_Either, bbf), bbg)) -> new_esEs17(yu302, yu40002, bbf, bbg) 13.38/5.91 new_esEs8(Nothing, Just(yu40000), bd) -> False 13.38/5.91 new_esEs8(Just(yu300), Nothing, bd) -> False 13.38/5.91 new_esEs5(yu30, yu4000, ty_Bool) -> new_esEs16(yu30, yu4000) 13.38/5.91 new_esEs22(yu301, yu40001, app(ty_Maybe, bdc)) -> new_esEs8(yu301, yu40001, bdc) 13.38/5.91 new_esEs20(yu300, yu40000, app(app(ty_@2, eh), fa)) -> new_esEs12(yu300, yu40000, eh, fa) 13.38/5.91 new_esEs20(yu300, yu40000, app(ty_Ratio, ed)) -> new_esEs9(yu300, yu40000, ed) 13.38/5.91 new_primMulNat0(Succ(yu30000), Succ(yu4000100)) -> new_primPlusNat1(new_primMulNat0(yu30000, Succ(yu4000100)), yu4000100) 13.38/5.91 new_esEs22(yu301, yu40001, app(ty_[], bdb)) -> new_esEs4(yu301, yu40001, bdb) 13.38/5.91 new_esEs5(yu30, yu4000, app(ty_[], beg)) -> new_esEs4(yu30, yu4000, beg) 13.38/5.91 new_esEs23(yu300, yu40000, ty_Char) -> new_esEs6(yu300, yu40000) 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, ty_Char) -> new_esEs6(yu300, yu40000) 13.38/5.91 new_esEs18(yu30, yu4000) -> new_primEqInt(yu30, yu4000) 13.38/5.91 new_asAs(True, yu33) -> yu33 13.38/5.91 new_esEs5(yu30, yu4000, app(ty_Maybe, bd)) -> new_esEs8(yu30, yu4000, bd) 13.38/5.91 new_esEs21(yu302, yu40002, app(app(app(ty_@3, bba), bbb), bbc)) -> new_esEs11(yu302, yu40002, bba, bbb, bbc) 13.38/5.91 new_esEs22(yu301, yu40001, ty_Integer) -> new_esEs7(yu301, yu40001) 13.38/5.91 new_esEs24(yu310, yu40010, ty_@0) -> new_esEs14(yu310, yu40010) 13.38/5.91 new_primEqInt(Pos(Succ(yu3000)), Pos(Zero)) -> False 13.38/5.91 new_primEqInt(Pos(Zero), Pos(Succ(yu400000))) -> False 13.38/5.91 new_esEs5(yu30, yu4000, ty_Double) -> new_esEs13(yu30, yu4000) 13.38/5.91 new_esEs6(Char(yu300), Char(yu40000)) -> new_primEqNat0(yu300, yu40000) 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), app(app(ty_@2, gd), ge), fh) -> new_esEs12(yu300, yu40000, gd, ge) 13.38/5.91 new_esEs23(yu300, yu40000, app(app(ty_Either, beb), bec)) -> new_esEs17(yu300, yu40000, beb, bec) 13.38/5.91 new_esEs24(yu310, yu40010, ty_Double) -> new_esEs13(yu310, yu40010) 13.38/5.91 new_esEs21(yu302, yu40002, ty_Bool) -> new_esEs16(yu302, yu40002) 13.38/5.91 new_primEqNat0(Succ(yu3000), Succ(yu400000)) -> new_primEqNat0(yu3000, yu400000) 13.38/5.91 new_esEs21(yu302, yu40002, ty_Char) -> new_esEs6(yu302, yu40002) 13.38/5.91 new_esEs21(yu302, yu40002, ty_Double) -> new_esEs13(yu302, yu40002) 13.38/5.91 new_esEs20(yu300, yu40000, app(ty_Maybe, ff)) -> new_esEs8(yu300, yu40000, ff) 13.38/5.91 new_esEs5(yu30, yu4000, app(app(app(ty_@3, bae), baf), bag)) -> new_esEs11(yu30, yu4000, bae, baf, bag) 13.38/5.91 new_esEs20(yu300, yu40000, ty_Ordering) -> new_esEs15(yu300, yu40000) 13.38/5.91 new_esEs24(yu310, yu40010, ty_Bool) -> new_esEs16(yu310, yu40010) 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), ty_Char, fh) -> new_esEs6(yu300, yu40000) 13.38/5.91 new_esEs24(yu310, yu40010, app(ty_[], beg)) -> new_esEs4(yu310, yu40010, beg) 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, ty_Float) -> new_esEs10(yu300, yu40000) 13.38/5.91 new_primMulNat0(Zero, Zero) -> Zero 13.38/5.91 new_esEs23(yu300, yu40000, app(app(app(ty_@3, bde), bdf), bdg)) -> new_esEs11(yu300, yu40000, bde, bdf, bdg) 13.38/5.91 new_esEs24(yu310, yu40010, app(app(ty_@2, cg), da)) -> new_esEs12(yu310, yu40010, cg, da) 13.38/5.91 new_esEs5(yu30, yu4000, app(ty_Ratio, bef)) -> new_esEs9(yu30, yu4000, bef) 13.38/5.91 new_esEs24(yu310, yu40010, ty_Int) -> new_esEs18(yu310, yu40010) 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), ty_Char) -> new_esEs6(yu300, yu40000) 13.38/5.91 new_esEs20(yu300, yu40000, ty_Integer) -> new_esEs7(yu300, yu40000) 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, app(ty_[], bac)) -> new_esEs4(yu300, yu40000, bac) 13.38/5.91 new_esEs24(yu310, yu40010, ty_Float) -> new_esEs10(yu310, yu40010) 13.38/5.91 new_esEs15(LT, EQ) -> False 13.38/5.91 new_esEs15(EQ, LT) -> False 13.38/5.91 new_esEs21(yu302, yu40002, ty_@0) -> new_esEs14(yu302, yu40002) 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), app(ty_[], gh), fh) -> new_esEs4(yu300, yu40000, gh) 13.38/5.91 new_primEqNat0(Succ(yu3000), Zero) -> False 13.38/5.91 new_primEqNat0(Zero, Succ(yu400000)) -> False 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, ty_Double) -> new_esEs13(yu300, yu40000) 13.38/5.91 new_esEs14(@0, @0) -> True 13.38/5.91 new_esEs23(yu300, yu40000, ty_Int) -> new_esEs18(yu300, yu40000) 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, ty_Int) -> new_esEs18(yu300, yu40000) 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), ty_Ordering) -> new_esEs15(yu300, yu40000) 13.38/5.91 new_esEs26(yu300, yu40000, ty_Integer) -> new_esEs7(yu300, yu40000) 13.38/5.91 new_esEs20(yu300, yu40000, ty_Bool) -> new_esEs16(yu300, yu40000) 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), ty_Ordering, fh) -> new_esEs15(yu300, yu40000) 13.38/5.91 new_esEs21(yu302, yu40002, app(ty_Maybe, bca)) -> new_esEs8(yu302, yu40002, bca) 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), ty_Float) -> new_esEs10(yu300, yu40000) 13.38/5.91 new_primEqInt(Neg(Succ(yu3000)), Neg(Zero)) -> False 13.38/5.91 new_primEqInt(Neg(Zero), Neg(Succ(yu400000))) -> False 13.38/5.91 new_esEs20(yu300, yu40000, ty_Char) -> new_esEs6(yu300, yu40000) 13.38/5.91 new_esEs19(yu301, yu40001, app(app(ty_@2, df), dg)) -> new_esEs12(yu301, yu40001, df, dg) 13.38/5.91 new_esEs20(yu300, yu40000, ty_@0) -> new_esEs14(yu300, yu40000) 13.38/5.91 new_primEqInt(Pos(Succ(yu3000)), Pos(Succ(yu400000))) -> new_primEqNat0(yu3000, yu400000) 13.38/5.91 new_esEs20(yu300, yu40000, ty_Double) -> new_esEs13(yu300, yu40000) 13.38/5.91 new_esEs17(Left(yu300), Right(yu40000), hb, fh) -> False 13.38/5.91 new_esEs17(Right(yu300), Left(yu40000), hb, fh) -> False 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), ty_Int, fh) -> new_esEs18(yu300, yu40000) 13.38/5.91 new_esEs19(yu301, yu40001, ty_Double) -> new_esEs13(yu301, yu40001) 13.38/5.91 new_esEs16(True, True) -> True 13.38/5.91 new_sr(Pos(yu3000), Neg(yu400010)) -> Neg(new_primMulNat0(yu3000, yu400010)) 13.38/5.91 new_sr(Neg(yu3000), Pos(yu400010)) -> Neg(new_primMulNat0(yu3000, yu400010)) 13.38/5.91 new_esEs5(yu30, yu4000, ty_Int) -> new_esEs18(yu30, yu4000) 13.38/5.91 new_esEs22(yu301, yu40001, app(app(app(ty_@3, bcc), bcd), bce)) -> new_esEs11(yu301, yu40001, bcc, bcd, bce) 13.38/5.91 new_primEqInt(Pos(Succ(yu3000)), Neg(yu40000)) -> False 13.38/5.91 new_primEqInt(Neg(Succ(yu3000)), Pos(yu40000)) -> False 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, app(app(app(ty_@3, hd), he), hf)) -> new_esEs11(yu300, yu40000, hd, he, hf) 13.38/5.91 new_esEs22(yu301, yu40001, app(ty_Ratio, bcb)) -> new_esEs9(yu301, yu40001, bcb) 13.38/5.91 new_esEs19(yu301, yu40001, ty_Char) -> new_esEs6(yu301, yu40001) 13.38/5.91 new_esEs21(yu302, yu40002, ty_Integer) -> new_esEs7(yu302, yu40002) 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), app(app(ty_@2, ca), cb)) -> new_esEs12(yu300, yu40000, ca, cb) 13.38/5.91 new_esEs19(yu301, yu40001, ty_Float) -> new_esEs10(yu301, yu40001) 13.38/5.91 new_esEs22(yu301, yu40001, app(app(ty_Either, bch), bda)) -> new_esEs17(yu301, yu40001, bch, bda) 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, ty_Ordering) -> new_esEs15(yu300, yu40000) 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, ty_Integer) -> new_esEs7(yu300, yu40000) 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), ty_Bool) -> new_esEs16(yu300, yu40000) 13.38/5.91 new_esEs23(yu300, yu40000, app(ty_Maybe, bee)) -> new_esEs8(yu300, yu40000, bee) 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, app(app(ty_@2, hg), hh)) -> new_esEs12(yu300, yu40000, hg, hh) 13.38/5.91 new_esEs15(EQ, EQ) -> True 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), app(app(app(ty_@3, bf), bg), bh)) -> new_esEs11(yu300, yu40000, bf, bg, bh) 13.38/5.91 new_esEs21(yu302, yu40002, app(ty_Ratio, bah)) -> new_esEs9(yu302, yu40002, bah) 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), ty_Double) -> new_esEs13(yu300, yu40000) 13.38/5.91 new_esEs19(yu301, yu40001, ty_Bool) -> new_esEs16(yu301, yu40001) 13.38/5.91 new_esEs15(GT, GT) -> True 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), ty_@0) -> new_esEs14(yu300, yu40000) 13.38/5.91 new_sr(Neg(yu3000), Neg(yu400010)) -> Pos(new_primMulNat0(yu3000, yu400010)) 13.38/5.91 new_esEs15(EQ, GT) -> False 13.38/5.91 new_esEs15(GT, EQ) -> False 13.38/5.91 new_esEs22(yu301, yu40001, ty_Char) -> new_esEs6(yu301, yu40001) 13.38/5.91 new_esEs23(yu300, yu40000, app(ty_[], bed)) -> new_esEs4(yu300, yu40000, bed) 13.38/5.91 new_esEs20(yu300, yu40000, ty_Int) -> new_esEs18(yu300, yu40000) 13.38/5.91 new_esEs19(yu301, yu40001, app(app(app(ty_@3, dc), dd), de)) -> new_esEs11(yu301, yu40001, dc, dd, de) 13.38/5.91 new_primEqInt(Pos(Zero), Neg(Succ(yu400000))) -> False 13.38/5.91 new_primEqInt(Neg(Zero), Pos(Succ(yu400000))) -> False 13.38/5.91 new_esEs23(yu300, yu40000, ty_Integer) -> new_esEs7(yu300, yu40000) 13.38/5.91 new_esEs19(yu301, yu40001, ty_@0) -> new_esEs14(yu301, yu40001) 13.38/5.91 new_primPlusNat0(Succ(yu3400), Succ(yu40001000)) -> Succ(Succ(new_primPlusNat0(yu3400, yu40001000))) 13.38/5.91 new_esEs11(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), bae, baf, bag) -> new_asAs(new_esEs23(yu300, yu40000, bae), new_asAs(new_esEs22(yu301, yu40001, baf), new_esEs21(yu302, yu40002, bag))) 13.38/5.91 new_esEs19(yu301, yu40001, ty_Integer) -> new_esEs7(yu301, yu40001) 13.38/5.91 new_esEs24(yu310, yu40010, ty_Char) -> new_esEs6(yu310, yu40010) 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, app(ty_Ratio, hc)) -> new_esEs9(yu300, yu40000, hc) 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, ty_@0) -> new_esEs14(yu300, yu40000) 13.38/5.91 new_esEs19(yu301, yu40001, ty_Int) -> new_esEs18(yu301, yu40001) 13.38/5.91 new_esEs20(yu300, yu40000, app(app(app(ty_@3, ee), ef), eg)) -> new_esEs11(yu300, yu40000, ee, ef, eg) 13.38/5.91 new_esEs20(yu300, yu40000, app(app(ty_Either, fb), fc)) -> new_esEs17(yu300, yu40000, fb, fc) 13.38/5.91 new_primEqInt(Neg(Succ(yu3000)), Neg(Succ(yu400000))) -> new_primEqNat0(yu3000, yu400000) 13.38/5.91 new_esEs21(yu302, yu40002, app(ty_[], bbh)) -> new_esEs4(yu302, yu40002, bbh) 13.38/5.91 new_esEs19(yu301, yu40001, ty_Ordering) -> new_esEs15(yu301, yu40001) 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), app(app(app(ty_@3, ga), gb), gc), fh) -> new_esEs11(yu300, yu40000, ga, gb, gc) 13.38/5.91 new_esEs23(yu300, yu40000, app(ty_Ratio, bdd)) -> new_esEs9(yu300, yu40000, bdd) 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), ty_Integer) -> new_esEs7(yu300, yu40000) 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, ty_Bool) -> new_esEs16(yu300, yu40000) 13.38/5.91 new_esEs5(yu30, yu4000, ty_Char) -> new_esEs6(yu30, yu4000) 13.38/5.91 new_esEs23(yu300, yu40000, ty_Ordering) -> new_esEs15(yu300, yu40000) 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), app(app(ty_Either, gf), gg), fh) -> new_esEs17(yu300, yu40000, gf, gg) 13.38/5.91 new_esEs25(yu301, yu40001, ty_Integer) -> new_esEs7(yu301, yu40001) 13.38/5.91 new_esEs21(yu302, yu40002, app(app(ty_@2, bbd), bbe)) -> new_esEs12(yu302, yu40002, bbd, bbe) 13.38/5.91 new_esEs25(yu301, yu40001, ty_Int) -> new_esEs18(yu301, yu40001) 13.38/5.91 new_esEs22(yu301, yu40001, ty_Int) -> new_esEs18(yu301, yu40001) 13.38/5.91 new_primMulNat0(Succ(yu30000), Zero) -> Zero 13.38/5.91 new_primMulNat0(Zero, Succ(yu4000100)) -> Zero 13.38/5.91 new_sr(Pos(yu3000), Pos(yu400010)) -> Pos(new_primMulNat0(yu3000, yu400010)) 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), ty_Float, fh) -> new_esEs10(yu300, yu40000) 13.38/5.91 new_esEs5(yu30, yu4000, app(app(ty_Either, hb), fh)) -> new_esEs17(yu30, yu4000, hb, fh) 13.38/5.91 new_primPlusNat1(Succ(yu340), yu4000100) -> Succ(Succ(new_primPlusNat0(yu340, yu4000100))) 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), ty_Int) -> new_esEs18(yu300, yu40000) 13.38/5.91 new_esEs21(yu302, yu40002, ty_Float) -> new_esEs10(yu302, yu40002) 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), app(ty_Ratio, fg), fh) -> new_esEs9(yu300, yu40000, fg) 13.38/5.91 new_esEs15(LT, GT) -> False 13.38/5.91 new_esEs15(GT, LT) -> False 13.38/5.91 new_primPlusNat0(Succ(yu3400), Zero) -> Succ(yu3400) 13.38/5.91 new_primPlusNat0(Zero, Succ(yu40001000)) -> Succ(yu40001000) 13.38/5.91 new_esEs22(yu301, yu40001, ty_@0) -> new_esEs14(yu301, yu40001) 13.38/5.91 new_esEs22(yu301, yu40001, ty_Bool) -> new_esEs16(yu301, yu40001) 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), ty_Double, fh) -> new_esEs13(yu300, yu40000) 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), ty_@0, fh) -> new_esEs14(yu300, yu40000) 13.38/5.91 new_primEqInt(Neg(Zero), Neg(Zero)) -> True 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), app(ty_[], ce)) -> new_esEs4(yu300, yu40000, ce) 13.38/5.91 new_esEs5(yu30, yu4000, app(app(ty_@2, cg), da)) -> new_esEs12(yu30, yu4000, cg, da) 13.38/5.91 new_primPlusNat1(Zero, yu4000100) -> Succ(yu4000100) 13.38/5.91 new_esEs5(yu30, yu4000, ty_Float) -> new_esEs10(yu30, yu4000) 13.38/5.91 new_esEs22(yu301, yu40001, ty_Double) -> new_esEs13(yu301, yu40001) 13.38/5.91 new_esEs19(yu301, yu40001, app(app(ty_Either, dh), ea)) -> new_esEs17(yu301, yu40001, dh, ea) 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, app(ty_Maybe, bad)) -> new_esEs8(yu300, yu40000, bad) 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), ty_Bool, fh) -> new_esEs16(yu300, yu40000) 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), app(app(ty_Either, cc), cd)) -> new_esEs17(yu300, yu40000, cc, cd) 13.38/5.91 new_esEs16(False, False) -> True 13.38/5.91 new_esEs4(:(yu310, yu311), [], bc) -> False 13.38/5.91 new_esEs4([], :(yu40010, yu40011), bc) -> False 13.38/5.91 new_esEs9(:%(yu300, yu301), :%(yu40000, yu40001), bef) -> new_asAs(new_esEs26(yu300, yu40000, bef), new_esEs25(yu301, yu40001, bef)) 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), app(ty_Maybe, ha), fh) -> new_esEs8(yu300, yu40000, ha) 13.38/5.91 new_esEs23(yu300, yu40000, app(app(ty_@2, bdh), bea)) -> new_esEs12(yu300, yu40000, bdh, bea) 13.38/5.91 new_esEs24(yu310, yu40010, app(app(app(ty_@3, bae), baf), bag)) -> new_esEs11(yu310, yu40010, bae, baf, bag) 13.38/5.91 new_esEs19(yu301, yu40001, app(ty_Maybe, ec)) -> new_esEs8(yu301, yu40001, ec) 13.38/5.91 new_esEs23(yu300, yu40000, ty_Bool) -> new_esEs16(yu300, yu40000) 13.38/5.91 new_esEs21(yu302, yu40002, ty_Ordering) -> new_esEs15(yu302, yu40002) 13.38/5.91 new_esEs24(yu310, yu40010, app(ty_Ratio, bef)) -> new_esEs9(yu310, yu40010, bef) 13.38/5.91 new_esEs13(Double(yu300, yu301), Double(yu40000, yu40001)) -> new_esEs18(new_sr(yu300, yu40001), new_sr(yu301, yu40000)) 13.38/5.91 new_esEs17(Right(yu300), Right(yu40000), hb, app(app(ty_Either, baa), bab)) -> new_esEs17(yu300, yu40000, baa, bab) 13.38/5.91 new_primEqInt(Pos(Zero), Neg(Zero)) -> True 13.38/5.91 new_primEqInt(Neg(Zero), Pos(Zero)) -> True 13.38/5.91 new_esEs23(yu300, yu40000, ty_Double) -> new_esEs13(yu300, yu40000) 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), app(ty_Maybe, cf)) -> new_esEs8(yu300, yu40000, cf) 13.38/5.91 new_esEs23(yu300, yu40000, ty_Float) -> new_esEs10(yu300, yu40000) 13.38/5.91 new_esEs22(yu301, yu40001, ty_Ordering) -> new_esEs15(yu301, yu40001) 13.38/5.91 new_esEs26(yu300, yu40000, ty_Int) -> new_esEs18(yu300, yu40000) 13.38/5.91 new_esEs22(yu301, yu40001, app(app(ty_@2, bcf), bcg)) -> new_esEs12(yu301, yu40001, bcf, bcg) 13.38/5.91 new_primEqNat0(Zero, Zero) -> True 13.38/5.91 new_esEs21(yu302, yu40002, ty_Int) -> new_esEs18(yu302, yu40002) 13.38/5.91 new_esEs5(yu30, yu4000, ty_@0) -> new_esEs14(yu30, yu4000) 13.38/5.91 new_esEs24(yu310, yu40010, app(app(ty_Either, hb), fh)) -> new_esEs17(yu310, yu40010, hb, fh) 13.38/5.91 new_esEs4([], [], bc) -> True 13.38/5.91 new_asAs(False, yu33) -> False 13.38/5.91 new_esEs19(yu301, yu40001, app(ty_[], eb)) -> new_esEs4(yu301, yu40001, eb) 13.38/5.91 new_esEs22(yu301, yu40001, ty_Float) -> new_esEs10(yu301, yu40001) 13.38/5.91 new_esEs10(Float(yu300, yu301), Float(yu40000, yu40001)) -> new_esEs18(new_sr(yu300, yu40001), new_sr(yu301, yu40000)) 13.38/5.91 new_esEs24(yu310, yu40010, app(ty_Maybe, bd)) -> new_esEs8(yu310, yu40010, bd) 13.38/5.91 new_esEs17(Left(yu300), Left(yu40000), ty_Integer, fh) -> new_esEs7(yu300, yu40000) 13.38/5.91 new_esEs23(yu300, yu40000, ty_@0) -> new_esEs14(yu300, yu40000) 13.38/5.91 new_esEs19(yu301, yu40001, app(ty_Ratio, db)) -> new_esEs9(yu301, yu40001, db) 13.38/5.91 new_esEs7(Integer(yu300), Integer(yu40000)) -> new_primEqInt(yu300, yu40000) 13.38/5.91 new_esEs16(False, True) -> False 13.38/5.91 new_esEs16(True, False) -> False 13.38/5.91 new_esEs8(Just(yu300), Just(yu40000), app(ty_Ratio, be)) -> new_esEs9(yu300, yu40000, be) 13.38/5.91 new_esEs20(yu300, yu40000, app(ty_[], fd)) -> new_esEs4(yu300, yu40000, fd) 13.38/5.91 13.38/5.91 The set Q consists of the following terms: 13.38/5.91 13.38/5.91 new_esEs26(x0, x1, ty_Integer) 13.38/5.91 new_esEs4([], :(x0, x1), x2) 13.38/5.91 new_esEs17(Left(x0), Left(x1), ty_Bool, x2) 13.38/5.91 new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 13.38/5.91 new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 13.38/5.91 new_esEs24(x0, x1, ty_Float) 13.38/5.91 new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 13.38/5.91 new_esEs21(x0, x1, ty_Int) 13.38/5.91 new_esEs22(x0, x1, app(ty_[], x2)) 13.38/5.91 new_esEs23(x0, x1, app(ty_Ratio, x2)) 13.38/5.91 new_esEs23(x0, x1, ty_Integer) 13.38/5.91 new_primMulNat0(Zero, Zero) 13.38/5.91 new_esEs22(x0, x1, ty_Float) 13.38/5.91 new_primEqInt(Pos(Succ(x0)), Pos(Zero)) 13.38/5.91 new_esEs21(x0, x1, app(ty_[], x2)) 13.38/5.91 new_esEs15(EQ, EQ) 13.38/5.91 new_esEs21(x0, x1, ty_Ordering) 13.38/5.91 new_esEs8(Nothing, Nothing, x0) 13.38/5.91 new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) 13.38/5.91 new_esEs24(x0, x1, ty_Double) 13.38/5.91 new_esEs17(Left(x0), Left(x1), app(ty_[], x2), x3) 13.38/5.91 new_esEs17(Left(x0), Right(x1), x2, x3) 13.38/5.91 new_esEs17(Right(x0), Left(x1), x2, x3) 13.38/5.91 new_esEs5(x0, x1, ty_Double) 13.38/5.91 new_esEs8(Just(x0), Just(x1), ty_Float) 13.38/5.91 new_esEs8(Just(x0), Just(x1), ty_Ordering) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) 13.38/5.91 new_esEs8(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) 13.38/5.91 new_esEs21(x0, x1, ty_Double) 13.38/5.91 new_primEqInt(Pos(Zero), Pos(Zero)) 13.38/5.91 new_esEs12(@2(x0, x1), @2(x2, x3), x4, x5) 13.38/5.91 new_esEs24(x0, x1, ty_Int) 13.38/5.91 new_esEs8(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) 13.38/5.91 new_esEs17(Left(x0), Left(x1), app(ty_Maybe, x2), x3) 13.38/5.91 new_esEs24(x0, x1, app(ty_Ratio, x2)) 13.38/5.91 new_esEs17(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) 13.38/5.91 new_esEs20(x0, x1, ty_Integer) 13.38/5.91 new_esEs8(Just(x0), Just(x1), ty_Double) 13.38/5.91 new_esEs17(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) 13.38/5.91 new_esEs19(x0, x1, ty_Integer) 13.38/5.91 new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, ty_Bool) 13.38/5.91 new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) 13.38/5.91 new_primEqInt(Neg(Zero), Neg(Zero)) 13.38/5.91 new_esEs21(x0, x1, ty_Char) 13.38/5.91 new_esEs19(x0, x1, ty_@0) 13.38/5.91 new_esEs20(x0, x1, ty_Ordering) 13.38/5.91 new_esEs8(Just(x0), Just(x1), ty_Int) 13.38/5.91 new_esEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) 13.38/5.91 new_esEs9(:%(x0, x1), :%(x2, x3), x4) 13.38/5.91 new_esEs15(EQ, GT) 13.38/5.91 new_esEs15(GT, EQ) 13.38/5.91 new_primPlusNat0(Zero, Zero) 13.38/5.91 new_esEs24(x0, x1, ty_Ordering) 13.38/5.91 new_esEs23(x0, x1, ty_Double) 13.38/5.91 new_esEs15(LT, LT) 13.38/5.91 new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) 13.38/5.91 new_esEs20(x0, x1, app(ty_[], x2)) 13.38/5.91 new_esEs8(Just(x0), Nothing, x1) 13.38/5.91 new_asAs(True, x0) 13.38/5.91 new_primPlusNat1(Succ(x0), x1) 13.38/5.91 new_esEs5(x0, x1, app(app(ty_Either, x2), x3)) 13.38/5.91 new_esEs10(Float(x0, x1), Float(x2, x3)) 13.38/5.91 new_esEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 13.38/5.91 new_esEs22(x0, x1, ty_Char) 13.38/5.91 new_esEs21(x0, x1, app(ty_Maybe, x2)) 13.38/5.91 new_esEs23(x0, x1, ty_Bool) 13.38/5.91 new_esEs5(x0, x1, ty_Int) 13.38/5.91 new_esEs25(x0, x1, ty_Int) 13.38/5.91 new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 13.38/5.91 new_esEs17(Left(x0), Left(x1), ty_Char, x2) 13.38/5.91 new_esEs20(x0, x1, app(ty_Ratio, x2)) 13.38/5.91 new_esEs8(Just(x0), Just(x1), app(ty_Ratio, x2)) 13.38/5.91 new_esEs5(x0, x1, ty_Char) 13.38/5.91 new_esEs21(x0, x1, ty_@0) 13.38/5.91 new_primPlusNat1(Zero, x0) 13.38/5.91 new_asAs(False, x0) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, app(ty_[], x3)) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) 13.38/5.91 new_esEs20(x0, x1, ty_Double) 13.38/5.91 new_esEs19(x0, x1, app(ty_[], x2)) 13.38/5.91 new_esEs21(x0, x1, ty_Float) 13.38/5.91 new_primEqInt(Pos(Succ(x0)), Neg(x1)) 13.38/5.91 new_primEqInt(Neg(Succ(x0)), Pos(x1)) 13.38/5.91 new_esEs5(x0, x1, app(ty_Maybe, x2)) 13.38/5.91 new_primEqInt(Pos(Zero), Neg(Zero)) 13.38/5.91 new_primEqInt(Neg(Zero), Pos(Zero)) 13.38/5.91 new_esEs17(Left(x0), Left(x1), ty_Int, x2) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, ty_@0) 13.38/5.91 new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) 13.38/5.91 new_esEs16(True, True) 13.38/5.91 new_sr(Pos(x0), Neg(x1)) 13.38/5.91 new_sr(Neg(x0), Pos(x1)) 13.38/5.91 new_esEs5(x0, x1, ty_Float) 13.38/5.91 new_esEs8(Just(x0), Just(x1), app(ty_Maybe, x2)) 13.38/5.91 new_esEs17(Left(x0), Left(x1), ty_@0, x2) 13.38/5.91 new_esEs22(x0, x1, ty_Double) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, ty_Float) 13.38/5.91 new_esEs22(x0, x1, ty_Int) 13.38/5.91 new_esEs20(x0, x1, ty_Bool) 13.38/5.91 new_primEqInt(Neg(Succ(x0)), Neg(Zero)) 13.38/5.91 new_esEs5(x0, x1, ty_@0) 13.38/5.91 new_primPlusNat0(Succ(x0), Succ(x1)) 13.38/5.91 new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 13.38/5.91 new_primMulNat0(Succ(x0), Zero) 13.38/5.91 new_esEs21(x0, x1, app(ty_Ratio, x2)) 13.38/5.91 new_primEqInt(Pos(Zero), Neg(Succ(x0))) 13.38/5.91 new_primEqInt(Neg(Zero), Pos(Succ(x0))) 13.38/5.91 new_esEs19(x0, x1, ty_Double) 13.38/5.91 new_esEs19(x0, x1, ty_Float) 13.38/5.91 new_esEs14(@0, @0) 13.38/5.91 new_esEs22(x0, x1, app(ty_Ratio, x2)) 13.38/5.91 new_esEs22(x0, x1, ty_@0) 13.38/5.91 new_esEs17(Left(x0), Left(x1), app(ty_Ratio, x2), x3) 13.38/5.91 new_esEs24(x0, x1, app(ty_[], x2)) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, ty_Ordering) 13.38/5.91 new_esEs21(x0, x1, ty_Integer) 13.38/5.91 new_esEs23(x0, x1, ty_Char) 13.38/5.91 new_esEs24(x0, x1, ty_Bool) 13.38/5.91 new_esEs20(x0, x1, app(app(ty_@2, x2), x3)) 13.38/5.91 new_esEs8(Just(x0), Just(x1), ty_@0) 13.38/5.91 new_esEs17(Left(x0), Left(x1), ty_Float, x2) 13.38/5.91 new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) 13.38/5.91 new_esEs15(LT, GT) 13.38/5.91 new_esEs15(GT, LT) 13.38/5.91 new_primMulNat0(Succ(x0), Succ(x1)) 13.38/5.91 new_esEs4(:(x0, x1), [], x2) 13.38/5.91 new_esEs8(Nothing, Just(x0), x1) 13.38/5.91 new_esEs23(x0, x1, app(ty_Maybe, x2)) 13.38/5.91 new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 13.38/5.91 new_primEqNat0(Succ(x0), Succ(x1)) 13.38/5.91 new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) 13.38/5.91 new_esEs22(x0, x1, ty_Bool) 13.38/5.91 new_esEs13(Double(x0, x1), Double(x2, x3)) 13.38/5.91 new_esEs24(x0, x1, app(ty_Maybe, x2)) 13.38/5.91 new_primEqNat0(Succ(x0), Zero) 13.38/5.91 new_esEs20(x0, x1, ty_Char) 13.38/5.91 new_esEs17(Left(x0), Left(x1), ty_Double, x2) 13.38/5.91 new_primEqInt(Pos(Zero), Pos(Succ(x0))) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, ty_Int) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) 13.38/5.91 new_esEs5(x0, x1, app(ty_[], x2)) 13.38/5.91 new_esEs24(x0, x1, ty_Integer) 13.38/5.91 new_esEs21(x0, x1, ty_Bool) 13.38/5.91 new_esEs15(GT, GT) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, ty_Char) 13.38/5.91 new_esEs23(x0, x1, app(ty_[], x2)) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, ty_Double) 13.38/5.91 new_esEs20(x0, x1, ty_Int) 13.38/5.91 new_esEs15(LT, EQ) 13.38/5.91 new_esEs15(EQ, LT) 13.38/5.91 new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) 13.38/5.91 new_primPlusNat0(Zero, Succ(x0)) 13.38/5.91 new_esEs19(x0, x1, ty_Int) 13.38/5.91 new_esEs8(Just(x0), Just(x1), ty_Char) 13.38/5.91 new_primEqNat0(Zero, Succ(x0)) 13.38/5.91 new_esEs19(x0, x1, ty_Ordering) 13.38/5.91 new_esEs5(x0, x1, ty_Bool) 13.38/5.91 new_esEs23(x0, x1, ty_Ordering) 13.38/5.91 new_esEs26(x0, x1, ty_Int) 13.38/5.91 new_esEs20(x0, x1, ty_@0) 13.38/5.91 new_esEs17(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) 13.38/5.91 new_esEs23(x0, x1, ty_Int) 13.38/5.91 new_esEs19(x0, x1, app(ty_Maybe, x2)) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) 13.38/5.91 new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) 13.38/5.91 new_esEs24(x0, x1, ty_@0) 13.38/5.91 new_primMulNat0(Zero, Succ(x0)) 13.38/5.91 new_sr(Pos(x0), Pos(x1)) 13.38/5.91 new_primEqNat0(Zero, Zero) 13.38/5.91 new_esEs23(x0, x1, ty_Float) 13.38/5.91 new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) 13.38/5.91 new_esEs23(x0, x1, ty_@0) 13.38/5.91 new_esEs25(x0, x1, ty_Integer) 13.38/5.91 new_esEs20(x0, x1, ty_Float) 13.38/5.91 new_esEs5(x0, x1, ty_Integer) 13.38/5.91 new_esEs24(x0, x1, ty_Char) 13.38/5.91 new_sr(Neg(x0), Neg(x1)) 13.38/5.91 new_esEs20(x0, x1, app(app(ty_Either, x2), x3)) 13.38/5.91 new_esEs16(False, False) 13.38/5.91 new_esEs18(x0, x1) 13.38/5.91 new_esEs22(x0, x1, ty_Integer) 13.38/5.91 new_esEs6(Char(x0), Char(x1)) 13.38/5.91 new_esEs19(x0, x1, ty_Char) 13.38/5.91 new_esEs16(False, True) 13.38/5.91 new_esEs16(True, False) 13.38/5.91 new_esEs8(Just(x0), Just(x1), ty_Integer) 13.38/5.91 new_esEs20(x0, x1, app(ty_Maybe, x2)) 13.38/5.91 new_esEs7(Integer(x0), Integer(x1)) 13.38/5.91 new_esEs8(Just(x0), Just(x1), ty_Bool) 13.38/5.91 new_esEs17(Left(x0), Left(x1), ty_Integer, x2) 13.38/5.91 new_esEs8(Just(x0), Just(x1), app(ty_[], x2)) 13.38/5.91 new_esEs22(x0, x1, app(ty_Maybe, x2)) 13.38/5.91 new_esEs22(x0, x1, ty_Ordering) 13.38/5.91 new_primPlusNat0(Succ(x0), Zero) 13.38/5.91 new_esEs19(x0, x1, app(app(ty_@2, x2), x3)) 13.38/5.91 new_esEs19(x0, x1, app(ty_Ratio, x2)) 13.38/5.91 new_esEs5(x0, x1, app(app(ty_@2, x2), x3)) 13.38/5.91 new_esEs8(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) 13.38/5.91 new_esEs5(x0, x1, app(ty_Ratio, x2)) 13.38/5.91 new_esEs4(:(x0, x1), :(x2, x3), x4) 13.38/5.91 new_esEs19(x0, x1, ty_Bool) 13.38/5.91 new_esEs5(x0, x1, ty_Ordering) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, ty_Integer) 13.38/5.91 new_primEqInt(Neg(Zero), Neg(Succ(x0))) 13.38/5.91 new_esEs19(x0, x1, app(app(ty_Either, x2), x3)) 13.38/5.91 new_esEs17(Left(x0), Left(x1), ty_Ordering, x2) 13.38/5.91 new_esEs4([], [], x0) 13.38/5.91 new_esEs17(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) 13.38/5.91 13.38/5.91 We have to consider all minimal (P,Q,R)-chains. 13.38/5.91 ---------------------------------------- 13.38/5.91 13.38/5.91 (17) QDPSizeChangeProof (EQUIVALENT) 13.38/5.91 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. 13.38/5.91 13.38/5.91 From the DPs we obtained the following set of size-change graphs: 13.38/5.91 *new_lookup1(yu13, yu14, yu15, yu16, yu17, yu18, False, h, ba) -> new_lookup(:(yu13, yu14), yu18, h, ba) 13.38/5.91 The graph contains the following edges 6 >= 2, 8 >= 3, 9 >= 4 13.38/5.91 13.38/5.91 13.38/5.91 *new_lookup(:(yu30, yu31), :(@2([], yu401), yu41), bb, bc) -> new_lookup(:(yu30, yu31), yu41, bb, bc) 13.38/5.91 The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3, 4 >= 4 13.38/5.91 13.38/5.91 13.38/5.91 *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) 13.38/5.91 The graph contains the following edges 1 > 1, 1 > 2, 2 > 3, 2 > 4, 2 > 5, 2 > 6, 3 >= 8, 4 >= 9 13.38/5.91 13.38/5.91 13.38/5.91 ---------------------------------------- 13.38/5.91 13.38/5.91 (18) 13.38/5.91 YES 13.38/5.91 13.38/5.91 ---------------------------------------- 13.38/5.91 13.38/5.91 (19) 13.38/5.91 Obligation: 13.38/5.91 Q DP problem: 13.38/5.91 The TRS P consists of the following rules: 13.38/5.91 13.38/5.91 new_primMulNat(Succ(yu30000), Succ(yu4000100)) -> new_primMulNat(yu30000, Succ(yu4000100)) 13.38/5.91 13.38/5.91 R is empty. 13.38/5.91 Q is empty. 13.38/5.91 We have to consider all minimal (P,Q,R)-chains. 13.38/5.91 ---------------------------------------- 13.38/5.91 13.38/5.91 (20) QDPSizeChangeProof (EQUIVALENT) 13.38/5.91 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. 13.38/5.91 13.38/5.91 From the DPs we obtained the following set of size-change graphs: 13.38/5.91 *new_primMulNat(Succ(yu30000), Succ(yu4000100)) -> new_primMulNat(yu30000, Succ(yu4000100)) 13.38/5.91 The graph contains the following edges 1 > 1, 2 >= 2 13.38/5.91 13.38/5.91 13.38/5.91 ---------------------------------------- 13.38/5.91 13.38/5.91 (21) 13.38/5.91 YES 13.38/5.91 13.38/5.91 ---------------------------------------- 13.38/5.91 13.38/5.91 (22) 13.38/5.91 Obligation: 13.38/5.91 Q DP problem: 13.38/5.91 The TRS P consists of the following rules: 13.38/5.91 13.38/5.91 new_primPlusNat(Succ(yu3400), Succ(yu40001000)) -> new_primPlusNat(yu3400, yu40001000) 13.38/5.91 13.38/5.91 R is empty. 13.38/5.91 Q is empty. 13.38/5.91 We have to consider all minimal (P,Q,R)-chains. 13.38/5.91 ---------------------------------------- 13.38/5.91 13.38/5.91 (23) QDPSizeChangeProof (EQUIVALENT) 13.38/5.91 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. 13.38/5.91 13.38/5.91 From the DPs we obtained the following set of size-change graphs: 13.38/5.91 *new_primPlusNat(Succ(yu3400), Succ(yu40001000)) -> new_primPlusNat(yu3400, yu40001000) 13.38/5.91 The graph contains the following edges 1 > 1, 2 > 2 13.38/5.91 13.38/5.91 13.38/5.91 ---------------------------------------- 13.38/5.91 13.38/5.91 (24) 13.38/5.91 YES 13.38/5.91 13.38/5.91 ---------------------------------------- 13.38/5.91 13.38/5.91 (25) 13.38/5.91 Obligation: 13.38/5.91 Q DP problem: 13.38/5.91 The TRS P consists of the following rules: 13.38/5.91 13.38/5.91 new_primEqNat(Succ(yu3000), Succ(yu400000)) -> new_primEqNat(yu3000, yu400000) 13.38/5.91 13.38/5.91 R is empty. 13.38/5.91 Q is empty. 13.38/5.91 We have to consider all minimal (P,Q,R)-chains. 13.38/5.91 ---------------------------------------- 13.38/5.91 13.38/5.91 (26) QDPSizeChangeProof (EQUIVALENT) 13.38/5.91 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. 13.38/5.91 13.38/5.91 From the DPs we obtained the following set of size-change graphs: 13.38/5.91 *new_primEqNat(Succ(yu3000), Succ(yu400000)) -> new_primEqNat(yu3000, yu400000) 13.38/5.91 The graph contains the following edges 1 > 1, 2 > 2 13.38/5.91 13.38/5.91 13.38/5.91 ---------------------------------------- 13.38/5.91 13.38/5.91 (27) 13.38/5.91 YES 13.41/6.66 EOF