/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.hs /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.hs # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4) HASKELL (5) Narrow [SOUND, 0 ms] (6) AND (7) QDP (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] (9) YES (10) QDP (11) DependencyGraphProof [EQUIVALENT, 0 ms] (12) AND (13) QDP (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] (15) YES (16) QDP (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] (18) YES (19) QDP (20) QDPSizeChangeProof [EQUIVALENT, 0 ms] (21) YES (22) QDP (23) QDPSizeChangeProof [EQUIVALENT, 0 ms] (24) YES (25) QDP (26) QDPSizeChangeProof [EQUIVALENT, 0 ms] (27) YES ---------------------------------------- (0) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (1) BR (EQUIVALENT) Replaced joker patterns by fresh variables and removed binding patterns. ---------------------------------------- (2) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (3) COR (EQUIVALENT) Cond Reductions: The following Function with conditions "lookup k [] = Nothing; lookup k ((x,y) : xys)|k == xJust y|otherwiselookup k xys; " is transformed to "lookup k [] = lookup3 k []; lookup k ((x,y) : xys) = lookup2 k ((x,y) : xys); " "lookup1 k x y xys True = Just y; lookup1 k x y xys False = lookup0 k x y xys otherwise; " "lookup0 k x y xys True = lookup k xys; " "lookup2 k ((x,y) : xys) = lookup1 k x y xys (k == x); " "lookup3 k [] = Nothing; lookup3 xy xz = lookup2 xy xz; " The following Function with conditions "undefined |Falseundefined; " is transformed to "undefined = undefined1; " "undefined0 True = undefined; " "undefined1 = undefined0 False; " ---------------------------------------- (4) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (5) Narrow (SOUND) Haskell To QDPs digraph dp_graph { node [outthreshold=100, inthreshold=100];1[label="lookup",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 3[label="lookup yu3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 4[label="lookup yu3 yu4",fontsize=16,color="burlywood",shape="triangle"];700[label="yu4/yu40 : yu41",fontsize=10,color="white",style="solid",shape="box"];4 -> 700[label="",style="solid", color="burlywood", weight=9]; 700 -> 5[label="",style="solid", color="burlywood", weight=3]; 701[label="yu4/[]",fontsize=10,color="white",style="solid",shape="box"];4 -> 701[label="",style="solid", color="burlywood", weight=9]; 701 -> 6[label="",style="solid", color="burlywood", weight=3]; 5[label="lookup yu3 (yu40 : yu41)",fontsize=16,color="burlywood",shape="box"];702[label="yu40/(yu400,yu401)",fontsize=10,color="white",style="solid",shape="box"];5 -> 702[label="",style="solid", color="burlywood", weight=9]; 702 -> 7[label="",style="solid", color="burlywood", weight=3]; 6[label="lookup yu3 []",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3]; 7[label="lookup yu3 ((yu400,yu401) : yu41)",fontsize=16,color="black",shape="box"];7 -> 9[label="",style="solid", color="black", weight=3]; 8[label="lookup3 yu3 []",fontsize=16,color="black",shape="box"];8 -> 10[label="",style="solid", color="black", weight=3]; 9[label="lookup2 yu3 ((yu400,yu401) : yu41)",fontsize=16,color="black",shape="box"];9 -> 11[label="",style="solid", color="black", weight=3]; 10[label="Nothing",fontsize=16,color="green",shape="box"];11[label="lookup1 yu3 yu400 yu401 yu41 (yu3 == yu400)",fontsize=16,color="burlywood",shape="box"];703[label="yu3/Nothing",fontsize=10,color="white",style="solid",shape="box"];11 -> 703[label="",style="solid", color="burlywood", weight=9]; 703 -> 12[label="",style="solid", color="burlywood", weight=3]; 704[label="yu3/Just yu30",fontsize=10,color="white",style="solid",shape="box"];11 -> 704[label="",style="solid", color="burlywood", weight=9]; 704 -> 13[label="",style="solid", color="burlywood", weight=3]; 12[label="lookup1 Nothing yu400 yu401 yu41 (Nothing == yu400)",fontsize=16,color="burlywood",shape="box"];705[label="yu400/Nothing",fontsize=10,color="white",style="solid",shape="box"];12 -> 705[label="",style="solid", color="burlywood", weight=9]; 705 -> 14[label="",style="solid", color="burlywood", weight=3]; 706[label="yu400/Just yu4000",fontsize=10,color="white",style="solid",shape="box"];12 -> 706[label="",style="solid", color="burlywood", weight=9]; 706 -> 15[label="",style="solid", color="burlywood", weight=3]; 13[label="lookup1 (Just yu30) yu400 yu401 yu41 (Just yu30 == yu400)",fontsize=16,color="burlywood",shape="box"];707[label="yu400/Nothing",fontsize=10,color="white",style="solid",shape="box"];13 -> 707[label="",style="solid", color="burlywood", weight=9]; 707 -> 16[label="",style="solid", color="burlywood", weight=3]; 708[label="yu400/Just yu4000",fontsize=10,color="white",style="solid",shape="box"];13 -> 708[label="",style="solid", color="burlywood", weight=9]; 708 -> 17[label="",style="solid", color="burlywood", weight=3]; 14[label="lookup1 Nothing Nothing yu401 yu41 (Nothing == Nothing)",fontsize=16,color="black",shape="box"];14 -> 18[label="",style="solid", color="black", weight=3]; 15[label="lookup1 Nothing (Just yu4000) yu401 yu41 (Nothing == Just yu4000)",fontsize=16,color="black",shape="box"];15 -> 19[label="",style="solid", color="black", weight=3]; 16[label="lookup1 (Just yu30) Nothing yu401 yu41 (Just yu30 == Nothing)",fontsize=16,color="black",shape="box"];16 -> 20[label="",style="solid", color="black", weight=3]; 17[label="lookup1 (Just yu30) (Just yu4000) yu401 yu41 (Just yu30 == Just yu4000)",fontsize=16,color="black",shape="box"];17 -> 21[label="",style="solid", color="black", weight=3]; 18[label="lookup1 Nothing Nothing yu401 yu41 True",fontsize=16,color="black",shape="box"];18 -> 22[label="",style="solid", color="black", weight=3]; 19[label="lookup1 Nothing (Just yu4000) yu401 yu41 False",fontsize=16,color="black",shape="box"];19 -> 23[label="",style="solid", color="black", weight=3]; 20[label="lookup1 (Just yu30) Nothing yu401 yu41 False",fontsize=16,color="black",shape="box"];20 -> 24[label="",style="solid", color="black", weight=3]; 21 -> 25[label="",style="dashed", color="red", weight=0]; 21[label="lookup1 (Just yu30) (Just yu4000) yu401 yu41 (yu30 == yu4000)",fontsize=16,color="magenta"];21 -> 26[label="",style="dashed", color="magenta", weight=3]; 21 -> 27[label="",style="dashed", color="magenta", weight=3]; 21 -> 28[label="",style="dashed", color="magenta", weight=3]; 21 -> 29[label="",style="dashed", color="magenta", weight=3]; 21 -> 30[label="",style="dashed", color="magenta", weight=3]; 22[label="Just yu401",fontsize=16,color="green",shape="box"];23[label="lookup0 Nothing (Just yu4000) yu401 yu41 otherwise",fontsize=16,color="black",shape="box"];23 -> 31[label="",style="solid", color="black", weight=3]; 24[label="lookup0 (Just yu30) Nothing yu401 yu41 otherwise",fontsize=16,color="black",shape="box"];24 -> 32[label="",style="solid", color="black", weight=3]; 26[label="yu30",fontsize=16,color="green",shape="box"];27[label="yu4000",fontsize=16,color="green",shape="box"];28[label="yu41",fontsize=16,color="green",shape="box"];29[label="yu401",fontsize=16,color="green",shape="box"];30[label="yu30 == yu4000",fontsize=16,color="blue",shape="box"];709[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];30 -> 709[label="",style="solid", color="blue", weight=9]; 709 -> 33[label="",style="solid", color="blue", weight=3]; 710[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];30 -> 710[label="",style="solid", color="blue", weight=9]; 710 -> 34[label="",style="solid", color="blue", weight=3]; 711[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];30 -> 711[label="",style="solid", color="blue", weight=9]; 711 -> 35[label="",style="solid", color="blue", weight=3]; 712[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];30 -> 712[label="",style="solid", color="blue", weight=9]; 712 -> 36[label="",style="solid", color="blue", weight=3]; 713[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];30 -> 713[label="",style="solid", color="blue", weight=9]; 713 -> 37[label="",style="solid", color="blue", weight=3]; 714[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];30 -> 714[label="",style="solid", color="blue", weight=9]; 714 -> 38[label="",style="solid", color="blue", weight=3]; 715[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];30 -> 715[label="",style="solid", color="blue", weight=9]; 715 -> 39[label="",style="solid", color="blue", weight=3]; 716[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];30 -> 716[label="",style="solid", color="blue", weight=9]; 716 -> 40[label="",style="solid", color="blue", weight=3]; 717[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];30 -> 717[label="",style="solid", color="blue", weight=9]; 717 -> 41[label="",style="solid", color="blue", weight=3]; 718[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];30 -> 718[label="",style="solid", color="blue", weight=9]; 718 -> 42[label="",style="solid", color="blue", weight=3]; 719[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];30 -> 719[label="",style="solid", color="blue", weight=9]; 719 -> 43[label="",style="solid", color="blue", weight=3]; 720[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];30 -> 720[label="",style="solid", color="blue", weight=9]; 720 -> 44[label="",style="solid", color="blue", weight=3]; 721[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];30 -> 721[label="",style="solid", color="blue", weight=9]; 721 -> 45[label="",style="solid", color="blue", weight=3]; 722[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];30 -> 722[label="",style="solid", color="blue", weight=9]; 722 -> 46[label="",style="solid", color="blue", weight=3]; 25[label="lookup1 (Just yu11) (Just yu12) yu13 yu14 yu15",fontsize=16,color="burlywood",shape="triangle"];723[label="yu15/False",fontsize=10,color="white",style="solid",shape="box"];25 -> 723[label="",style="solid", color="burlywood", weight=9]; 723 -> 47[label="",style="solid", color="burlywood", weight=3]; 724[label="yu15/True",fontsize=10,color="white",style="solid",shape="box"];25 -> 724[label="",style="solid", color="burlywood", weight=9]; 724 -> 48[label="",style="solid", color="burlywood", weight=3]; 31[label="lookup0 Nothing (Just yu4000) yu401 yu41 True",fontsize=16,color="black",shape="box"];31 -> 49[label="",style="solid", color="black", weight=3]; 32[label="lookup0 (Just yu30) Nothing yu401 yu41 True",fontsize=16,color="black",shape="box"];32 -> 50[label="",style="solid", color="black", weight=3]; 33[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];725[label="yu30/Left yu300",fontsize=10,color="white",style="solid",shape="box"];33 -> 725[label="",style="solid", color="burlywood", weight=9]; 725 -> 51[label="",style="solid", color="burlywood", weight=3]; 726[label="yu30/Right yu300",fontsize=10,color="white",style="solid",shape="box"];33 -> 726[label="",style="solid", color="burlywood", weight=9]; 726 -> 52[label="",style="solid", color="burlywood", weight=3]; 34[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];727[label="yu30/()",fontsize=10,color="white",style="solid",shape="box"];34 -> 727[label="",style="solid", color="burlywood", weight=9]; 727 -> 53[label="",style="solid", color="burlywood", weight=3]; 35[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];728[label="yu30/False",fontsize=10,color="white",style="solid",shape="box"];35 -> 728[label="",style="solid", color="burlywood", weight=9]; 728 -> 54[label="",style="solid", color="burlywood", weight=3]; 729[label="yu30/True",fontsize=10,color="white",style="solid",shape="box"];35 -> 729[label="",style="solid", color="burlywood", weight=9]; 729 -> 55[label="",style="solid", color="burlywood", weight=3]; 36[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];730[label="yu30/(yu300,yu301,yu302)",fontsize=10,color="white",style="solid",shape="box"];36 -> 730[label="",style="solid", color="burlywood", weight=9]; 730 -> 56[label="",style="solid", color="burlywood", weight=3]; 37[label="yu30 == yu4000",fontsize=16,color="black",shape="triangle"];37 -> 57[label="",style="solid", color="black", weight=3]; 38[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];731[label="yu30/yu300 : yu301",fontsize=10,color="white",style="solid",shape="box"];38 -> 731[label="",style="solid", color="burlywood", weight=9]; 731 -> 58[label="",style="solid", color="burlywood", weight=3]; 732[label="yu30/[]",fontsize=10,color="white",style="solid",shape="box"];38 -> 732[label="",style="solid", color="burlywood", weight=9]; 732 -> 59[label="",style="solid", color="burlywood", weight=3]; 39[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];733[label="yu30/(yu300,yu301)",fontsize=10,color="white",style="solid",shape="box"];39 -> 733[label="",style="solid", color="burlywood", weight=9]; 733 -> 60[label="",style="solid", color="burlywood", weight=3]; 40[label="yu30 == yu4000",fontsize=16,color="black",shape="triangle"];40 -> 61[label="",style="solid", color="black", weight=3]; 41[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];734[label="yu30/Integer yu300",fontsize=10,color="white",style="solid",shape="box"];41 -> 734[label="",style="solid", color="burlywood", weight=9]; 734 -> 62[label="",style="solid", color="burlywood", weight=3]; 42[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];735[label="yu30/LT",fontsize=10,color="white",style="solid",shape="box"];42 -> 735[label="",style="solid", color="burlywood", weight=9]; 735 -> 63[label="",style="solid", color="burlywood", weight=3]; 736[label="yu30/EQ",fontsize=10,color="white",style="solid",shape="box"];42 -> 736[label="",style="solid", color="burlywood", weight=9]; 736 -> 64[label="",style="solid", color="burlywood", weight=3]; 737[label="yu30/GT",fontsize=10,color="white",style="solid",shape="box"];42 -> 737[label="",style="solid", color="burlywood", weight=9]; 737 -> 65[label="",style="solid", color="burlywood", weight=3]; 43[label="yu30 == yu4000",fontsize=16,color="black",shape="triangle"];43 -> 66[label="",style="solid", color="black", weight=3]; 44[label="yu30 == yu4000",fontsize=16,color="black",shape="triangle"];44 -> 67[label="",style="solid", color="black", weight=3]; 45[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];738[label="yu30/Nothing",fontsize=10,color="white",style="solid",shape="box"];45 -> 738[label="",style="solid", color="burlywood", weight=9]; 738 -> 68[label="",style="solid", color="burlywood", weight=3]; 739[label="yu30/Just yu300",fontsize=10,color="white",style="solid",shape="box"];45 -> 739[label="",style="solid", color="burlywood", weight=9]; 739 -> 69[label="",style="solid", color="burlywood", weight=3]; 46[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];740[label="yu30/yu300 :% yu301",fontsize=10,color="white",style="solid",shape="box"];46 -> 740[label="",style="solid", color="burlywood", weight=9]; 740 -> 70[label="",style="solid", color="burlywood", weight=3]; 47[label="lookup1 (Just yu11) (Just yu12) yu13 yu14 False",fontsize=16,color="black",shape="box"];47 -> 71[label="",style="solid", color="black", weight=3]; 48[label="lookup1 (Just yu11) (Just yu12) yu13 yu14 True",fontsize=16,color="black",shape="box"];48 -> 72[label="",style="solid", color="black", weight=3]; 49 -> 4[label="",style="dashed", color="red", weight=0]; 49[label="lookup Nothing yu41",fontsize=16,color="magenta"];49 -> 73[label="",style="dashed", color="magenta", weight=3]; 49 -> 74[label="",style="dashed", color="magenta", weight=3]; 50 -> 4[label="",style="dashed", color="red", weight=0]; 50[label="lookup (Just yu30) yu41",fontsize=16,color="magenta"];50 -> 75[label="",style="dashed", color="magenta", weight=3]; 50 -> 76[label="",style="dashed", color="magenta", weight=3]; 51[label="Left yu300 == yu4000",fontsize=16,color="burlywood",shape="box"];741[label="yu4000/Left yu40000",fontsize=10,color="white",style="solid",shape="box"];51 -> 741[label="",style="solid", color="burlywood", weight=9]; 741 -> 77[label="",style="solid", color="burlywood", weight=3]; 742[label="yu4000/Right yu40000",fontsize=10,color="white",style="solid",shape="box"];51 -> 742[label="",style="solid", color="burlywood", weight=9]; 742 -> 78[label="",style="solid", color="burlywood", weight=3]; 52[label="Right yu300 == yu4000",fontsize=16,color="burlywood",shape="box"];743[label="yu4000/Left yu40000",fontsize=10,color="white",style="solid",shape="box"];52 -> 743[label="",style="solid", color="burlywood", weight=9]; 743 -> 79[label="",style="solid", color="burlywood", weight=3]; 744[label="yu4000/Right yu40000",fontsize=10,color="white",style="solid",shape="box"];52 -> 744[label="",style="solid", color="burlywood", weight=9]; 744 -> 80[label="",style="solid", color="burlywood", weight=3]; 53[label="() == yu4000",fontsize=16,color="burlywood",shape="box"];745[label="yu4000/()",fontsize=10,color="white",style="solid",shape="box"];53 -> 745[label="",style="solid", color="burlywood", weight=9]; 745 -> 81[label="",style="solid", color="burlywood", weight=3]; 54[label="False == yu4000",fontsize=16,color="burlywood",shape="box"];746[label="yu4000/False",fontsize=10,color="white",style="solid",shape="box"];54 -> 746[label="",style="solid", color="burlywood", weight=9]; 746 -> 82[label="",style="solid", color="burlywood", weight=3]; 747[label="yu4000/True",fontsize=10,color="white",style="solid",shape="box"];54 -> 747[label="",style="solid", color="burlywood", weight=9]; 747 -> 83[label="",style="solid", color="burlywood", weight=3]; 55[label="True == yu4000",fontsize=16,color="burlywood",shape="box"];748[label="yu4000/False",fontsize=10,color="white",style="solid",shape="box"];55 -> 748[label="",style="solid", color="burlywood", weight=9]; 748 -> 84[label="",style="solid", color="burlywood", weight=3]; 749[label="yu4000/True",fontsize=10,color="white",style="solid",shape="box"];55 -> 749[label="",style="solid", color="burlywood", weight=9]; 749 -> 85[label="",style="solid", color="burlywood", weight=3]; 56[label="(yu300,yu301,yu302) == yu4000",fontsize=16,color="burlywood",shape="box"];750[label="yu4000/(yu40000,yu40001,yu40002)",fontsize=10,color="white",style="solid",shape="box"];56 -> 750[label="",style="solid", color="burlywood", weight=9]; 750 -> 86[label="",style="solid", color="burlywood", weight=3]; 57[label="primEqChar yu30 yu4000",fontsize=16,color="burlywood",shape="box"];751[label="yu30/Char yu300",fontsize=10,color="white",style="solid",shape="box"];57 -> 751[label="",style="solid", color="burlywood", weight=9]; 751 -> 87[label="",style="solid", color="burlywood", weight=3]; 58[label="yu300 : yu301 == yu4000",fontsize=16,color="burlywood",shape="box"];752[label="yu4000/yu40000 : yu40001",fontsize=10,color="white",style="solid",shape="box"];58 -> 752[label="",style="solid", color="burlywood", weight=9]; 752 -> 88[label="",style="solid", color="burlywood", weight=3]; 753[label="yu4000/[]",fontsize=10,color="white",style="solid",shape="box"];58 -> 753[label="",style="solid", color="burlywood", weight=9]; 753 -> 89[label="",style="solid", color="burlywood", weight=3]; 59[label="[] == yu4000",fontsize=16,color="burlywood",shape="box"];754[label="yu4000/yu40000 : yu40001",fontsize=10,color="white",style="solid",shape="box"];59 -> 754[label="",style="solid", color="burlywood", weight=9]; 754 -> 90[label="",style="solid", color="burlywood", weight=3]; 755[label="yu4000/[]",fontsize=10,color="white",style="solid",shape="box"];59 -> 755[label="",style="solid", color="burlywood", weight=9]; 755 -> 91[label="",style="solid", color="burlywood", weight=3]; 60[label="(yu300,yu301) == yu4000",fontsize=16,color="burlywood",shape="box"];756[label="yu4000/(yu40000,yu40001)",fontsize=10,color="white",style="solid",shape="box"];60 -> 756[label="",style="solid", color="burlywood", weight=9]; 756 -> 92[label="",style="solid", color="burlywood", weight=3]; 61[label="primEqDouble yu30 yu4000",fontsize=16,color="burlywood",shape="box"];757[label="yu30/Double yu300 yu301",fontsize=10,color="white",style="solid",shape="box"];61 -> 757[label="",style="solid", color="burlywood", weight=9]; 757 -> 93[label="",style="solid", color="burlywood", weight=3]; 62[label="Integer yu300 == yu4000",fontsize=16,color="burlywood",shape="box"];758[label="yu4000/Integer yu40000",fontsize=10,color="white",style="solid",shape="box"];62 -> 758[label="",style="solid", color="burlywood", weight=9]; 758 -> 94[label="",style="solid", color="burlywood", weight=3]; 63[label="LT == yu4000",fontsize=16,color="burlywood",shape="box"];759[label="yu4000/LT",fontsize=10,color="white",style="solid",shape="box"];63 -> 759[label="",style="solid", color="burlywood", weight=9]; 759 -> 95[label="",style="solid", color="burlywood", weight=3]; 760[label="yu4000/EQ",fontsize=10,color="white",style="solid",shape="box"];63 -> 760[label="",style="solid", color="burlywood", weight=9]; 760 -> 96[label="",style="solid", color="burlywood", weight=3]; 761[label="yu4000/GT",fontsize=10,color="white",style="solid",shape="box"];63 -> 761[label="",style="solid", color="burlywood", weight=9]; 761 -> 97[label="",style="solid", color="burlywood", weight=3]; 64[label="EQ == yu4000",fontsize=16,color="burlywood",shape="box"];762[label="yu4000/LT",fontsize=10,color="white",style="solid",shape="box"];64 -> 762[label="",style="solid", color="burlywood", weight=9]; 762 -> 98[label="",style="solid", color="burlywood", weight=3]; 763[label="yu4000/EQ",fontsize=10,color="white",style="solid",shape="box"];64 -> 763[label="",style="solid", color="burlywood", weight=9]; 763 -> 99[label="",style="solid", color="burlywood", weight=3]; 764[label="yu4000/GT",fontsize=10,color="white",style="solid",shape="box"];64 -> 764[label="",style="solid", color="burlywood", weight=9]; 764 -> 100[label="",style="solid", color="burlywood", weight=3]; 65[label="GT == yu4000",fontsize=16,color="burlywood",shape="box"];765[label="yu4000/LT",fontsize=10,color="white",style="solid",shape="box"];65 -> 765[label="",style="solid", color="burlywood", weight=9]; 765 -> 101[label="",style="solid", color="burlywood", weight=3]; 766[label="yu4000/EQ",fontsize=10,color="white",style="solid",shape="box"];65 -> 766[label="",style="solid", color="burlywood", weight=9]; 766 -> 102[label="",style="solid", color="burlywood", weight=3]; 767[label="yu4000/GT",fontsize=10,color="white",style="solid",shape="box"];65 -> 767[label="",style="solid", color="burlywood", weight=9]; 767 -> 103[label="",style="solid", color="burlywood", weight=3]; 66[label="primEqInt yu30 yu4000",fontsize=16,color="burlywood",shape="triangle"];768[label="yu30/Pos yu300",fontsize=10,color="white",style="solid",shape="box"];66 -> 768[label="",style="solid", color="burlywood", weight=9]; 768 -> 104[label="",style="solid", color="burlywood", weight=3]; 769[label="yu30/Neg yu300",fontsize=10,color="white",style="solid",shape="box"];66 -> 769[label="",style="solid", color="burlywood", weight=9]; 769 -> 105[label="",style="solid", color="burlywood", weight=3]; 67[label="primEqFloat yu30 yu4000",fontsize=16,color="burlywood",shape="box"];770[label="yu30/Float yu300 yu301",fontsize=10,color="white",style="solid",shape="box"];67 -> 770[label="",style="solid", color="burlywood", weight=9]; 770 -> 106[label="",style="solid", color="burlywood", weight=3]; 68[label="Nothing == yu4000",fontsize=16,color="burlywood",shape="box"];771[label="yu4000/Nothing",fontsize=10,color="white",style="solid",shape="box"];68 -> 771[label="",style="solid", color="burlywood", weight=9]; 771 -> 107[label="",style="solid", color="burlywood", weight=3]; 772[label="yu4000/Just yu40000",fontsize=10,color="white",style="solid",shape="box"];68 -> 772[label="",style="solid", color="burlywood", weight=9]; 772 -> 108[label="",style="solid", color="burlywood", weight=3]; 69[label="Just yu300 == yu4000",fontsize=16,color="burlywood",shape="box"];773[label="yu4000/Nothing",fontsize=10,color="white",style="solid",shape="box"];69 -> 773[label="",style="solid", color="burlywood", weight=9]; 773 -> 109[label="",style="solid", color="burlywood", weight=3]; 774[label="yu4000/Just yu40000",fontsize=10,color="white",style="solid",shape="box"];69 -> 774[label="",style="solid", color="burlywood", weight=9]; 774 -> 110[label="",style="solid", color="burlywood", weight=3]; 70[label="yu300 :% yu301 == yu4000",fontsize=16,color="burlywood",shape="box"];775[label="yu4000/yu40000 :% yu40001",fontsize=10,color="white",style="solid",shape="box"];70 -> 775[label="",style="solid", color="burlywood", weight=9]; 775 -> 111[label="",style="solid", color="burlywood", weight=3]; 71[label="lookup0 (Just yu11) (Just yu12) yu13 yu14 otherwise",fontsize=16,color="black",shape="box"];71 -> 112[label="",style="solid", color="black", weight=3]; 72[label="Just yu13",fontsize=16,color="green",shape="box"];73[label="yu41",fontsize=16,color="green",shape="box"];74[label="Nothing",fontsize=16,color="green",shape="box"];75[label="yu41",fontsize=16,color="green",shape="box"];76[label="Just yu30",fontsize=16,color="green",shape="box"];77[label="Left yu300 == Left yu40000",fontsize=16,color="black",shape="box"];77 -> 113[label="",style="solid", color="black", weight=3]; 78[label="Left yu300 == Right yu40000",fontsize=16,color="black",shape="box"];78 -> 114[label="",style="solid", color="black", weight=3]; 79[label="Right yu300 == Left yu40000",fontsize=16,color="black",shape="box"];79 -> 115[label="",style="solid", color="black", weight=3]; 80[label="Right yu300 == Right yu40000",fontsize=16,color="black",shape="box"];80 -> 116[label="",style="solid", color="black", weight=3]; 81[label="() == ()",fontsize=16,color="black",shape="box"];81 -> 117[label="",style="solid", color="black", weight=3]; 82[label="False == False",fontsize=16,color="black",shape="box"];82 -> 118[label="",style="solid", color="black", weight=3]; 83[label="False == True",fontsize=16,color="black",shape="box"];83 -> 119[label="",style="solid", color="black", weight=3]; 84[label="True == False",fontsize=16,color="black",shape="box"];84 -> 120[label="",style="solid", color="black", weight=3]; 85[label="True == True",fontsize=16,color="black",shape="box"];85 -> 121[label="",style="solid", color="black", weight=3]; 86[label="(yu300,yu301,yu302) == (yu40000,yu40001,yu40002)",fontsize=16,color="black",shape="box"];86 -> 122[label="",style="solid", color="black", weight=3]; 87[label="primEqChar (Char yu300) yu4000",fontsize=16,color="burlywood",shape="box"];776[label="yu4000/Char yu40000",fontsize=10,color="white",style="solid",shape="box"];87 -> 776[label="",style="solid", color="burlywood", weight=9]; 776 -> 123[label="",style="solid", color="burlywood", weight=3]; 88[label="yu300 : yu301 == yu40000 : yu40001",fontsize=16,color="black",shape="box"];88 -> 124[label="",style="solid", color="black", weight=3]; 89[label="yu300 : yu301 == []",fontsize=16,color="black",shape="box"];89 -> 125[label="",style="solid", color="black", weight=3]; 90[label="[] == yu40000 : yu40001",fontsize=16,color="black",shape="box"];90 -> 126[label="",style="solid", color="black", weight=3]; 91[label="[] == []",fontsize=16,color="black",shape="box"];91 -> 127[label="",style="solid", color="black", weight=3]; 92[label="(yu300,yu301) == (yu40000,yu40001)",fontsize=16,color="black",shape="box"];92 -> 128[label="",style="solid", color="black", weight=3]; 93[label="primEqDouble (Double yu300 yu301) yu4000",fontsize=16,color="burlywood",shape="box"];777[label="yu4000/Double yu40000 yu40001",fontsize=10,color="white",style="solid",shape="box"];93 -> 777[label="",style="solid", color="burlywood", weight=9]; 777 -> 129[label="",style="solid", color="burlywood", weight=3]; 94[label="Integer yu300 == Integer yu40000",fontsize=16,color="black",shape="box"];94 -> 130[label="",style="solid", color="black", weight=3]; 95[label="LT == LT",fontsize=16,color="black",shape="box"];95 -> 131[label="",style="solid", color="black", weight=3]; 96[label="LT == EQ",fontsize=16,color="black",shape="box"];96 -> 132[label="",style="solid", color="black", weight=3]; 97[label="LT == GT",fontsize=16,color="black",shape="box"];97 -> 133[label="",style="solid", color="black", weight=3]; 98[label="EQ == LT",fontsize=16,color="black",shape="box"];98 -> 134[label="",style="solid", color="black", weight=3]; 99[label="EQ == EQ",fontsize=16,color="black",shape="box"];99 -> 135[label="",style="solid", color="black", weight=3]; 100[label="EQ == GT",fontsize=16,color="black",shape="box"];100 -> 136[label="",style="solid", color="black", weight=3]; 101[label="GT == LT",fontsize=16,color="black",shape="box"];101 -> 137[label="",style="solid", color="black", weight=3]; 102[label="GT == EQ",fontsize=16,color="black",shape="box"];102 -> 138[label="",style="solid", color="black", weight=3]; 103[label="GT == GT",fontsize=16,color="black",shape="box"];103 -> 139[label="",style="solid", color="black", weight=3]; 104[label="primEqInt (Pos yu300) yu4000",fontsize=16,color="burlywood",shape="box"];778[label="yu300/Succ yu3000",fontsize=10,color="white",style="solid",shape="box"];104 -> 778[label="",style="solid", color="burlywood", weight=9]; 778 -> 140[label="",style="solid", color="burlywood", weight=3]; 779[label="yu300/Zero",fontsize=10,color="white",style="solid",shape="box"];104 -> 779[label="",style="solid", color="burlywood", weight=9]; 779 -> 141[label="",style="solid", color="burlywood", weight=3]; 105[label="primEqInt (Neg yu300) yu4000",fontsize=16,color="burlywood",shape="box"];780[label="yu300/Succ yu3000",fontsize=10,color="white",style="solid",shape="box"];105 -> 780[label="",style="solid", color="burlywood", weight=9]; 780 -> 142[label="",style="solid", color="burlywood", weight=3]; 781[label="yu300/Zero",fontsize=10,color="white",style="solid",shape="box"];105 -> 781[label="",style="solid", color="burlywood", weight=9]; 781 -> 143[label="",style="solid", color="burlywood", weight=3]; 106[label="primEqFloat (Float yu300 yu301) yu4000",fontsize=16,color="burlywood",shape="box"];782[label="yu4000/Float yu40000 yu40001",fontsize=10,color="white",style="solid",shape="box"];106 -> 782[label="",style="solid", color="burlywood", weight=9]; 782 -> 144[label="",style="solid", color="burlywood", weight=3]; 107[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];107 -> 145[label="",style="solid", color="black", weight=3]; 108[label="Nothing == Just yu40000",fontsize=16,color="black",shape="box"];108 -> 146[label="",style="solid", color="black", weight=3]; 109[label="Just yu300 == Nothing",fontsize=16,color="black",shape="box"];109 -> 147[label="",style="solid", color="black", weight=3]; 110[label="Just yu300 == Just yu40000",fontsize=16,color="black",shape="box"];110 -> 148[label="",style="solid", color="black", weight=3]; 111[label="yu300 :% yu301 == yu40000 :% yu40001",fontsize=16,color="black",shape="box"];111 -> 149[label="",style="solid", color="black", weight=3]; 112[label="lookup0 (Just yu11) (Just yu12) yu13 yu14 True",fontsize=16,color="black",shape="box"];112 -> 150[label="",style="solid", color="black", weight=3]; 113[label="yu300 == yu40000",fontsize=16,color="blue",shape="box"];783[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];113 -> 783[label="",style="solid", color="blue", weight=9]; 783 -> 151[label="",style="solid", color="blue", weight=3]; 784[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];113 -> 784[label="",style="solid", color="blue", weight=9]; 784 -> 152[label="",style="solid", color="blue", weight=3]; 785[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];113 -> 785[label="",style="solid", color="blue", weight=9]; 785 -> 153[label="",style="solid", color="blue", weight=3]; 786[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];113 -> 786[label="",style="solid", color="blue", weight=9]; 786 -> 154[label="",style="solid", color="blue", weight=3]; 787[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];113 -> 787[label="",style="solid", color="blue", weight=9]; 787 -> 155[label="",style="solid", color="blue", weight=3]; 788[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];113 -> 788[label="",style="solid", color="blue", weight=9]; 788 -> 156[label="",style="solid", color="blue", weight=3]; 789[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];113 -> 789[label="",style="solid", color="blue", weight=9]; 789 -> 157[label="",style="solid", color="blue", weight=3]; 790[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];113 -> 790[label="",style="solid", color="blue", weight=9]; 790 -> 158[label="",style="solid", color="blue", weight=3]; 791[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];113 -> 791[label="",style="solid", color="blue", weight=9]; 791 -> 159[label="",style="solid", color="blue", weight=3]; 792[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];113 -> 792[label="",style="solid", color="blue", weight=9]; 792 -> 160[label="",style="solid", color="blue", weight=3]; 793[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];113 -> 793[label="",style="solid", color="blue", weight=9]; 793 -> 161[label="",style="solid", color="blue", weight=3]; 794[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];113 -> 794[label="",style="solid", color="blue", weight=9]; 794 -> 162[label="",style="solid", color="blue", weight=3]; 795[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];113 -> 795[label="",style="solid", color="blue", weight=9]; 795 -> 163[label="",style="solid", color="blue", weight=3]; 796[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];113 -> 796[label="",style="solid", color="blue", weight=9]; 796 -> 164[label="",style="solid", color="blue", weight=3]; 114[label="False",fontsize=16,color="green",shape="box"];115[label="False",fontsize=16,color="green",shape="box"];116[label="yu300 == yu40000",fontsize=16,color="blue",shape="box"];797[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];116 -> 797[label="",style="solid", color="blue", weight=9]; 797 -> 165[label="",style="solid", color="blue", weight=3]; 798[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];116 -> 798[label="",style="solid", color="blue", weight=9]; 798 -> 166[label="",style="solid", color="blue", weight=3]; 799[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];116 -> 799[label="",style="solid", color="blue", weight=9]; 799 -> 167[label="",style="solid", color="blue", weight=3]; 800[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];116 -> 800[label="",style="solid", color="blue", weight=9]; 800 -> 168[label="",style="solid", color="blue", weight=3]; 801[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];116 -> 801[label="",style="solid", color="blue", weight=9]; 801 -> 169[label="",style="solid", color="blue", weight=3]; 802[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];116 -> 802[label="",style="solid", color="blue", weight=9]; 802 -> 170[label="",style="solid", color="blue", weight=3]; 803[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];116 -> 803[label="",style="solid", color="blue", weight=9]; 803 -> 171[label="",style="solid", color="blue", weight=3]; 804[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];116 -> 804[label="",style="solid", color="blue", weight=9]; 804 -> 172[label="",style="solid", color="blue", weight=3]; 805[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];116 -> 805[label="",style="solid", color="blue", weight=9]; 805 -> 173[label="",style="solid", color="blue", weight=3]; 806[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];116 -> 806[label="",style="solid", color="blue", weight=9]; 806 -> 174[label="",style="solid", color="blue", weight=3]; 807[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];116 -> 807[label="",style="solid", color="blue", weight=9]; 807 -> 175[label="",style="solid", color="blue", weight=3]; 808[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];116 -> 808[label="",style="solid", color="blue", weight=9]; 808 -> 176[label="",style="solid", color="blue", weight=3]; 809[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];116 -> 809[label="",style="solid", color="blue", weight=9]; 809 -> 177[label="",style="solid", color="blue", weight=3]; 810[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];116 -> 810[label="",style="solid", color="blue", weight=9]; 810 -> 178[label="",style="solid", color="blue", weight=3]; 117[label="True",fontsize=16,color="green",shape="box"];118[label="True",fontsize=16,color="green",shape="box"];119[label="False",fontsize=16,color="green",shape="box"];120[label="False",fontsize=16,color="green",shape="box"];121[label="True",fontsize=16,color="green",shape="box"];122 -> 284[label="",style="dashed", color="red", weight=0]; 122[label="yu300 == yu40000 && yu301 == yu40001 && yu302 == yu40002",fontsize=16,color="magenta"];122 -> 285[label="",style="dashed", color="magenta", weight=3]; 122 -> 286[label="",style="dashed", color="magenta", weight=3]; 123[label="primEqChar (Char yu300) (Char yu40000)",fontsize=16,color="black",shape="box"];123 -> 185[label="",style="solid", color="black", weight=3]; 124 -> 284[label="",style="dashed", color="red", weight=0]; 124[label="yu300 == yu40000 && yu301 == yu40001",fontsize=16,color="magenta"];124 -> 287[label="",style="dashed", color="magenta", weight=3]; 124 -> 288[label="",style="dashed", color="magenta", weight=3]; 125[label="False",fontsize=16,color="green",shape="box"];126[label="False",fontsize=16,color="green",shape="box"];127[label="True",fontsize=16,color="green",shape="box"];128 -> 284[label="",style="dashed", color="red", weight=0]; 128[label="yu300 == yu40000 && yu301 == yu40001",fontsize=16,color="magenta"];128 -> 289[label="",style="dashed", color="magenta", weight=3]; 128 -> 290[label="",style="dashed", color="magenta", weight=3]; 129[label="primEqDouble (Double yu300 yu301) (Double yu40000 yu40001)",fontsize=16,color="black",shape="box"];129 -> 197[label="",style="solid", color="black", weight=3]; 130 -> 66[label="",style="dashed", color="red", weight=0]; 130[label="primEqInt yu300 yu40000",fontsize=16,color="magenta"];130 -> 198[label="",style="dashed", color="magenta", weight=3]; 130 -> 199[label="",style="dashed", color="magenta", weight=3]; 131[label="True",fontsize=16,color="green",shape="box"];132[label="False",fontsize=16,color="green",shape="box"];133[label="False",fontsize=16,color="green",shape="box"];134[label="False",fontsize=16,color="green",shape="box"];135[label="True",fontsize=16,color="green",shape="box"];136[label="False",fontsize=16,color="green",shape="box"];137[label="False",fontsize=16,color="green",shape="box"];138[label="False",fontsize=16,color="green",shape="box"];139[label="True",fontsize=16,color="green",shape="box"];140[label="primEqInt (Pos (Succ yu3000)) yu4000",fontsize=16,color="burlywood",shape="box"];811[label="yu4000/Pos yu40000",fontsize=10,color="white",style="solid",shape="box"];140 -> 811[label="",style="solid", color="burlywood", weight=9]; 811 -> 200[label="",style="solid", color="burlywood", weight=3]; 812[label="yu4000/Neg yu40000",fontsize=10,color="white",style="solid",shape="box"];140 -> 812[label="",style="solid", color="burlywood", weight=9]; 812 -> 201[label="",style="solid", color="burlywood", weight=3]; 141[label="primEqInt (Pos Zero) yu4000",fontsize=16,color="burlywood",shape="box"];813[label="yu4000/Pos yu40000",fontsize=10,color="white",style="solid",shape="box"];141 -> 813[label="",style="solid", color="burlywood", weight=9]; 813 -> 202[label="",style="solid", color="burlywood", weight=3]; 814[label="yu4000/Neg yu40000",fontsize=10,color="white",style="solid",shape="box"];141 -> 814[label="",style="solid", color="burlywood", weight=9]; 814 -> 203[label="",style="solid", color="burlywood", weight=3]; 142[label="primEqInt (Neg (Succ yu3000)) yu4000",fontsize=16,color="burlywood",shape="box"];815[label="yu4000/Pos yu40000",fontsize=10,color="white",style="solid",shape="box"];142 -> 815[label="",style="solid", color="burlywood", weight=9]; 815 -> 204[label="",style="solid", color="burlywood", weight=3]; 816[label="yu4000/Neg yu40000",fontsize=10,color="white",style="solid",shape="box"];142 -> 816[label="",style="solid", color="burlywood", weight=9]; 816 -> 205[label="",style="solid", color="burlywood", weight=3]; 143[label="primEqInt (Neg Zero) yu4000",fontsize=16,color="burlywood",shape="box"];817[label="yu4000/Pos yu40000",fontsize=10,color="white",style="solid",shape="box"];143 -> 817[label="",style="solid", color="burlywood", weight=9]; 817 -> 206[label="",style="solid", color="burlywood", weight=3]; 818[label="yu4000/Neg yu40000",fontsize=10,color="white",style="solid",shape="box"];143 -> 818[label="",style="solid", color="burlywood", weight=9]; 818 -> 207[label="",style="solid", color="burlywood", weight=3]; 144[label="primEqFloat (Float yu300 yu301) (Float yu40000 yu40001)",fontsize=16,color="black",shape="box"];144 -> 208[label="",style="solid", color="black", weight=3]; 145[label="True",fontsize=16,color="green",shape="box"];146[label="False",fontsize=16,color="green",shape="box"];147[label="False",fontsize=16,color="green",shape="box"];148[label="yu300 == yu40000",fontsize=16,color="blue",shape="box"];819[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];148 -> 819[label="",style="solid", color="blue", weight=9]; 819 -> 209[label="",style="solid", color="blue", weight=3]; 820[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];148 -> 820[label="",style="solid", color="blue", weight=9]; 820 -> 210[label="",style="solid", color="blue", weight=3]; 821[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];148 -> 821[label="",style="solid", color="blue", weight=9]; 821 -> 211[label="",style="solid", color="blue", weight=3]; 822[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];148 -> 822[label="",style="solid", color="blue", weight=9]; 822 -> 212[label="",style="solid", color="blue", weight=3]; 823[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];148 -> 823[label="",style="solid", color="blue", weight=9]; 823 -> 213[label="",style="solid", color="blue", weight=3]; 824[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];148 -> 824[label="",style="solid", color="blue", weight=9]; 824 -> 214[label="",style="solid", color="blue", weight=3]; 825[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];148 -> 825[label="",style="solid", color="blue", weight=9]; 825 -> 215[label="",style="solid", color="blue", weight=3]; 826[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];148 -> 826[label="",style="solid", color="blue", weight=9]; 826 -> 216[label="",style="solid", color="blue", weight=3]; 827[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];148 -> 827[label="",style="solid", color="blue", weight=9]; 827 -> 217[label="",style="solid", color="blue", weight=3]; 828[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];148 -> 828[label="",style="solid", color="blue", weight=9]; 828 -> 218[label="",style="solid", color="blue", weight=3]; 829[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];148 -> 829[label="",style="solid", color="blue", weight=9]; 829 -> 219[label="",style="solid", color="blue", weight=3]; 830[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];148 -> 830[label="",style="solid", color="blue", weight=9]; 830 -> 220[label="",style="solid", color="blue", weight=3]; 831[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];148 -> 831[label="",style="solid", color="blue", weight=9]; 831 -> 221[label="",style="solid", color="blue", weight=3]; 832[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];148 -> 832[label="",style="solid", color="blue", weight=9]; 832 -> 222[label="",style="solid", color="blue", weight=3]; 149 -> 284[label="",style="dashed", color="red", weight=0]; 149[label="yu300 == yu40000 && yu301 == yu40001",fontsize=16,color="magenta"];149 -> 291[label="",style="dashed", color="magenta", weight=3]; 149 -> 292[label="",style="dashed", color="magenta", weight=3]; 150 -> 4[label="",style="dashed", color="red", weight=0]; 150[label="lookup (Just yu11) yu14",fontsize=16,color="magenta"];150 -> 223[label="",style="dashed", color="magenta", weight=3]; 150 -> 224[label="",style="dashed", color="magenta", weight=3]; 151 -> 33[label="",style="dashed", color="red", weight=0]; 151[label="yu300 == yu40000",fontsize=16,color="magenta"];151 -> 225[label="",style="dashed", color="magenta", weight=3]; 151 -> 226[label="",style="dashed", color="magenta", weight=3]; 152 -> 34[label="",style="dashed", color="red", weight=0]; 152[label="yu300 == yu40000",fontsize=16,color="magenta"];152 -> 227[label="",style="dashed", color="magenta", weight=3]; 152 -> 228[label="",style="dashed", color="magenta", weight=3]; 153 -> 35[label="",style="dashed", color="red", weight=0]; 153[label="yu300 == yu40000",fontsize=16,color="magenta"];153 -> 229[label="",style="dashed", color="magenta", weight=3]; 153 -> 230[label="",style="dashed", color="magenta", weight=3]; 154 -> 36[label="",style="dashed", color="red", weight=0]; 154[label="yu300 == yu40000",fontsize=16,color="magenta"];154 -> 231[label="",style="dashed", color="magenta", weight=3]; 154 -> 232[label="",style="dashed", color="magenta", weight=3]; 155 -> 37[label="",style="dashed", color="red", weight=0]; 155[label="yu300 == yu40000",fontsize=16,color="magenta"];155 -> 233[label="",style="dashed", color="magenta", weight=3]; 155 -> 234[label="",style="dashed", color="magenta", weight=3]; 156 -> 38[label="",style="dashed", color="red", weight=0]; 156[label="yu300 == yu40000",fontsize=16,color="magenta"];156 -> 235[label="",style="dashed", color="magenta", weight=3]; 156 -> 236[label="",style="dashed", color="magenta", weight=3]; 157 -> 39[label="",style="dashed", color="red", weight=0]; 157[label="yu300 == yu40000",fontsize=16,color="magenta"];157 -> 237[label="",style="dashed", color="magenta", weight=3]; 157 -> 238[label="",style="dashed", color="magenta", weight=3]; 158 -> 40[label="",style="dashed", color="red", weight=0]; 158[label="yu300 == yu40000",fontsize=16,color="magenta"];158 -> 239[label="",style="dashed", color="magenta", weight=3]; 158 -> 240[label="",style="dashed", color="magenta", weight=3]; 159 -> 41[label="",style="dashed", color="red", weight=0]; 159[label="yu300 == yu40000",fontsize=16,color="magenta"];159 -> 241[label="",style="dashed", color="magenta", weight=3]; 159 -> 242[label="",style="dashed", color="magenta", weight=3]; 160 -> 42[label="",style="dashed", color="red", weight=0]; 160[label="yu300 == yu40000",fontsize=16,color="magenta"];160 -> 243[label="",style="dashed", color="magenta", weight=3]; 160 -> 244[label="",style="dashed", color="magenta", weight=3]; 161 -> 43[label="",style="dashed", color="red", weight=0]; 161[label="yu300 == yu40000",fontsize=16,color="magenta"];161 -> 245[label="",style="dashed", color="magenta", weight=3]; 161 -> 246[label="",style="dashed", color="magenta", weight=3]; 162 -> 44[label="",style="dashed", color="red", weight=0]; 162[label="yu300 == yu40000",fontsize=16,color="magenta"];162 -> 247[label="",style="dashed", color="magenta", weight=3]; 162 -> 248[label="",style="dashed", color="magenta", weight=3]; 163 -> 45[label="",style="dashed", color="red", weight=0]; 163[label="yu300 == yu40000",fontsize=16,color="magenta"];163 -> 249[label="",style="dashed", color="magenta", weight=3]; 163 -> 250[label="",style="dashed", color="magenta", weight=3]; 164 -> 46[label="",style="dashed", color="red", weight=0]; 164[label="yu300 == yu40000",fontsize=16,color="magenta"];164 -> 251[label="",style="dashed", color="magenta", weight=3]; 164 -> 252[label="",style="dashed", color="magenta", weight=3]; 165 -> 33[label="",style="dashed", color="red", weight=0]; 165[label="yu300 == yu40000",fontsize=16,color="magenta"];165 -> 253[label="",style="dashed", color="magenta", weight=3]; 165 -> 254[label="",style="dashed", color="magenta", weight=3]; 166 -> 34[label="",style="dashed", color="red", weight=0]; 166[label="yu300 == yu40000",fontsize=16,color="magenta"];166 -> 255[label="",style="dashed", color="magenta", weight=3]; 166 -> 256[label="",style="dashed", color="magenta", weight=3]; 167 -> 35[label="",style="dashed", color="red", weight=0]; 167[label="yu300 == yu40000",fontsize=16,color="magenta"];167 -> 257[label="",style="dashed", color="magenta", weight=3]; 167 -> 258[label="",style="dashed", color="magenta", weight=3]; 168 -> 36[label="",style="dashed", color="red", weight=0]; 168[label="yu300 == yu40000",fontsize=16,color="magenta"];168 -> 259[label="",style="dashed", color="magenta", weight=3]; 168 -> 260[label="",style="dashed", color="magenta", weight=3]; 169 -> 37[label="",style="dashed", color="red", weight=0]; 169[label="yu300 == yu40000",fontsize=16,color="magenta"];169 -> 261[label="",style="dashed", color="magenta", weight=3]; 169 -> 262[label="",style="dashed", color="magenta", weight=3]; 170 -> 38[label="",style="dashed", color="red", weight=0]; 170[label="yu300 == yu40000",fontsize=16,color="magenta"];170 -> 263[label="",style="dashed", color="magenta", weight=3]; 170 -> 264[label="",style="dashed", color="magenta", weight=3]; 171 -> 39[label="",style="dashed", color="red", weight=0]; 171[label="yu300 == yu40000",fontsize=16,color="magenta"];171 -> 265[label="",style="dashed", color="magenta", weight=3]; 171 -> 266[label="",style="dashed", color="magenta", weight=3]; 172 -> 40[label="",style="dashed", color="red", weight=0]; 172[label="yu300 == yu40000",fontsize=16,color="magenta"];172 -> 267[label="",style="dashed", color="magenta", weight=3]; 172 -> 268[label="",style="dashed", color="magenta", weight=3]; 173 -> 41[label="",style="dashed", color="red", weight=0]; 173[label="yu300 == yu40000",fontsize=16,color="magenta"];173 -> 269[label="",style="dashed", color="magenta", weight=3]; 173 -> 270[label="",style="dashed", color="magenta", weight=3]; 174 -> 42[label="",style="dashed", color="red", weight=0]; 174[label="yu300 == yu40000",fontsize=16,color="magenta"];174 -> 271[label="",style="dashed", color="magenta", weight=3]; 174 -> 272[label="",style="dashed", color="magenta", weight=3]; 175 -> 43[label="",style="dashed", color="red", weight=0]; 175[label="yu300 == yu40000",fontsize=16,color="magenta"];175 -> 273[label="",style="dashed", color="magenta", weight=3]; 175 -> 274[label="",style="dashed", color="magenta", weight=3]; 176 -> 44[label="",style="dashed", color="red", weight=0]; 176[label="yu300 == yu40000",fontsize=16,color="magenta"];176 -> 275[label="",style="dashed", color="magenta", weight=3]; 176 -> 276[label="",style="dashed", color="magenta", weight=3]; 177 -> 45[label="",style="dashed", color="red", weight=0]; 177[label="yu300 == yu40000",fontsize=16,color="magenta"];177 -> 277[label="",style="dashed", color="magenta", weight=3]; 177 -> 278[label="",style="dashed", color="magenta", weight=3]; 178 -> 46[label="",style="dashed", color="red", weight=0]; 178[label="yu300 == yu40000",fontsize=16,color="magenta"];178 -> 279[label="",style="dashed", color="magenta", weight=3]; 178 -> 280[label="",style="dashed", color="magenta", weight=3]; 285[label="yu300 == yu40000",fontsize=16,color="blue",shape="box"];833[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];285 -> 833[label="",style="solid", color="blue", weight=9]; 833 -> 297[label="",style="solid", color="blue", weight=3]; 834[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];285 -> 834[label="",style="solid", color="blue", weight=9]; 834 -> 298[label="",style="solid", color="blue", weight=3]; 835[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];285 -> 835[label="",style="solid", color="blue", weight=9]; 835 -> 299[label="",style="solid", color="blue", weight=3]; 836[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];285 -> 836[label="",style="solid", color="blue", weight=9]; 836 -> 300[label="",style="solid", color="blue", weight=3]; 837[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];285 -> 837[label="",style="solid", color="blue", weight=9]; 837 -> 301[label="",style="solid", color="blue", weight=3]; 838[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];285 -> 838[label="",style="solid", color="blue", weight=9]; 838 -> 302[label="",style="solid", color="blue", weight=3]; 839[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];285 -> 839[label="",style="solid", color="blue", weight=9]; 839 -> 303[label="",style="solid", color="blue", weight=3]; 840[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];285 -> 840[label="",style="solid", color="blue", weight=9]; 840 -> 304[label="",style="solid", color="blue", weight=3]; 841[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];285 -> 841[label="",style="solid", color="blue", weight=9]; 841 -> 305[label="",style="solid", color="blue", weight=3]; 842[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];285 -> 842[label="",style="solid", color="blue", weight=9]; 842 -> 306[label="",style="solid", color="blue", weight=3]; 843[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];285 -> 843[label="",style="solid", color="blue", weight=9]; 843 -> 307[label="",style="solid", color="blue", weight=3]; 844[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];285 -> 844[label="",style="solid", color="blue", weight=9]; 844 -> 308[label="",style="solid", color="blue", weight=3]; 845[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];285 -> 845[label="",style="solid", color="blue", weight=9]; 845 -> 309[label="",style="solid", color="blue", weight=3]; 846[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];285 -> 846[label="",style="solid", color="blue", weight=9]; 846 -> 310[label="",style="solid", color="blue", weight=3]; 286 -> 284[label="",style="dashed", color="red", weight=0]; 286[label="yu301 == yu40001 && yu302 == yu40002",fontsize=16,color="magenta"];286 -> 311[label="",style="dashed", color="magenta", weight=3]; 286 -> 312[label="",style="dashed", color="magenta", weight=3]; 284[label="yu31 && yu32",fontsize=16,color="burlywood",shape="triangle"];847[label="yu31/False",fontsize=10,color="white",style="solid",shape="box"];284 -> 847[label="",style="solid", color="burlywood", weight=9]; 847 -> 313[label="",style="solid", color="burlywood", weight=3]; 848[label="yu31/True",fontsize=10,color="white",style="solid",shape="box"];284 -> 848[label="",style="solid", color="burlywood", weight=9]; 848 -> 314[label="",style="solid", color="burlywood", weight=3]; 185[label="primEqNat yu300 yu40000",fontsize=16,color="burlywood",shape="triangle"];849[label="yu300/Succ yu3000",fontsize=10,color="white",style="solid",shape="box"];185 -> 849[label="",style="solid", color="burlywood", weight=9]; 849 -> 315[label="",style="solid", color="burlywood", weight=3]; 850[label="yu300/Zero",fontsize=10,color="white",style="solid",shape="box"];185 -> 850[label="",style="solid", color="burlywood", weight=9]; 850 -> 316[label="",style="solid", color="burlywood", weight=3]; 287[label="yu300 == yu40000",fontsize=16,color="blue",shape="box"];851[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 851[label="",style="solid", color="blue", weight=9]; 851 -> 317[label="",style="solid", color="blue", weight=3]; 852[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 852[label="",style="solid", color="blue", weight=9]; 852 -> 318[label="",style="solid", color="blue", weight=3]; 853[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 853[label="",style="solid", color="blue", weight=9]; 853 -> 319[label="",style="solid", color="blue", weight=3]; 854[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 854[label="",style="solid", color="blue", weight=9]; 854 -> 320[label="",style="solid", color="blue", weight=3]; 855[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 855[label="",style="solid", color="blue", weight=9]; 855 -> 321[label="",style="solid", color="blue", weight=3]; 856[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 856[label="",style="solid", color="blue", weight=9]; 856 -> 322[label="",style="solid", color="blue", weight=3]; 857[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 857[label="",style="solid", color="blue", weight=9]; 857 -> 323[label="",style="solid", color="blue", weight=3]; 858[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 858[label="",style="solid", color="blue", weight=9]; 858 -> 324[label="",style="solid", color="blue", weight=3]; 859[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 859[label="",style="solid", color="blue", weight=9]; 859 -> 325[label="",style="solid", color="blue", weight=3]; 860[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 860[label="",style="solid", color="blue", weight=9]; 860 -> 326[label="",style="solid", color="blue", weight=3]; 861[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 861[label="",style="solid", color="blue", weight=9]; 861 -> 327[label="",style="solid", color="blue", weight=3]; 862[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 862[label="",style="solid", color="blue", weight=9]; 862 -> 328[label="",style="solid", color="blue", weight=3]; 863[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 863[label="",style="solid", color="blue", weight=9]; 863 -> 329[label="",style="solid", color="blue", weight=3]; 864[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 864[label="",style="solid", color="blue", weight=9]; 864 -> 330[label="",style="solid", color="blue", weight=3]; 288 -> 38[label="",style="dashed", color="red", weight=0]; 288[label="yu301 == yu40001",fontsize=16,color="magenta"];288 -> 331[label="",style="dashed", color="magenta", weight=3]; 288 -> 332[label="",style="dashed", color="magenta", weight=3]; 289[label="yu300 == yu40000",fontsize=16,color="blue",shape="box"];865[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 865[label="",style="solid", color="blue", weight=9]; 865 -> 333[label="",style="solid", color="blue", weight=3]; 866[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 866[label="",style="solid", color="blue", weight=9]; 866 -> 334[label="",style="solid", color="blue", weight=3]; 867[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 867[label="",style="solid", color="blue", weight=9]; 867 -> 335[label="",style="solid", color="blue", weight=3]; 868[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 868[label="",style="solid", color="blue", weight=9]; 868 -> 336[label="",style="solid", color="blue", weight=3]; 869[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 869[label="",style="solid", color="blue", weight=9]; 869 -> 337[label="",style="solid", color="blue", weight=3]; 870[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 870[label="",style="solid", color="blue", weight=9]; 870 -> 338[label="",style="solid", color="blue", weight=3]; 871[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 871[label="",style="solid", color="blue", weight=9]; 871 -> 339[label="",style="solid", color="blue", weight=3]; 872[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 872[label="",style="solid", color="blue", weight=9]; 872 -> 340[label="",style="solid", color="blue", weight=3]; 873[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 873[label="",style="solid", color="blue", weight=9]; 873 -> 341[label="",style="solid", color="blue", weight=3]; 874[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 874[label="",style="solid", color="blue", weight=9]; 874 -> 342[label="",style="solid", color="blue", weight=3]; 875[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 875[label="",style="solid", color="blue", weight=9]; 875 -> 343[label="",style="solid", color="blue", weight=3]; 876[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 876[label="",style="solid", color="blue", weight=9]; 876 -> 344[label="",style="solid", color="blue", weight=3]; 877[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 877[label="",style="solid", color="blue", weight=9]; 877 -> 345[label="",style="solid", color="blue", weight=3]; 878[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 878[label="",style="solid", color="blue", weight=9]; 878 -> 346[label="",style="solid", color="blue", weight=3]; 290[label="yu301 == yu40001",fontsize=16,color="blue",shape="box"];879[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];290 -> 879[label="",style="solid", color="blue", weight=9]; 879 -> 347[label="",style="solid", color="blue", weight=3]; 880[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];290 -> 880[label="",style="solid", color="blue", weight=9]; 880 -> 348[label="",style="solid", color="blue", weight=3]; 881[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];290 -> 881[label="",style="solid", color="blue", weight=9]; 881 -> 349[label="",style="solid", color="blue", weight=3]; 882[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];290 -> 882[label="",style="solid", color="blue", weight=9]; 882 -> 350[label="",style="solid", color="blue", weight=3]; 883[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];290 -> 883[label="",style="solid", color="blue", weight=9]; 883 -> 351[label="",style="solid", color="blue", weight=3]; 884[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];290 -> 884[label="",style="solid", color="blue", weight=9]; 884 -> 352[label="",style="solid", color="blue", weight=3]; 885[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];290 -> 885[label="",style="solid", color="blue", weight=9]; 885 -> 353[label="",style="solid", color="blue", weight=3]; 886[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];290 -> 886[label="",style="solid", color="blue", weight=9]; 886 -> 354[label="",style="solid", color="blue", weight=3]; 887[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];290 -> 887[label="",style="solid", color="blue", weight=9]; 887 -> 355[label="",style="solid", color="blue", weight=3]; 888[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];290 -> 888[label="",style="solid", color="blue", weight=9]; 888 -> 356[label="",style="solid", color="blue", weight=3]; 889[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];290 -> 889[label="",style="solid", color="blue", weight=9]; 889 -> 357[label="",style="solid", color="blue", weight=3]; 890[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];290 -> 890[label="",style="solid", color="blue", weight=9]; 890 -> 358[label="",style="solid", color="blue", weight=3]; 891[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];290 -> 891[label="",style="solid", color="blue", weight=9]; 891 -> 359[label="",style="solid", color="blue", weight=3]; 892[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];290 -> 892[label="",style="solid", color="blue", weight=9]; 892 -> 360[label="",style="solid", color="blue", weight=3]; 197 -> 43[label="",style="dashed", color="red", weight=0]; 197[label="yu300 * yu40001 == yu301 * yu40000",fontsize=16,color="magenta"];197 -> 361[label="",style="dashed", color="magenta", weight=3]; 197 -> 362[label="",style="dashed", color="magenta", weight=3]; 198[label="yu300",fontsize=16,color="green",shape="box"];199[label="yu40000",fontsize=16,color="green",shape="box"];200[label="primEqInt (Pos (Succ yu3000)) (Pos yu40000)",fontsize=16,color="burlywood",shape="box"];893[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];200 -> 893[label="",style="solid", color="burlywood", weight=9]; 893 -> 363[label="",style="solid", color="burlywood", weight=3]; 894[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];200 -> 894[label="",style="solid", color="burlywood", weight=9]; 894 -> 364[label="",style="solid", color="burlywood", weight=3]; 201[label="primEqInt (Pos (Succ yu3000)) (Neg yu40000)",fontsize=16,color="black",shape="box"];201 -> 365[label="",style="solid", color="black", weight=3]; 202[label="primEqInt (Pos Zero) (Pos yu40000)",fontsize=16,color="burlywood",shape="box"];895[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];202 -> 895[label="",style="solid", color="burlywood", weight=9]; 895 -> 366[label="",style="solid", color="burlywood", weight=3]; 896[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];202 -> 896[label="",style="solid", color="burlywood", weight=9]; 896 -> 367[label="",style="solid", color="burlywood", weight=3]; 203[label="primEqInt (Pos Zero) (Neg yu40000)",fontsize=16,color="burlywood",shape="box"];897[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];203 -> 897[label="",style="solid", color="burlywood", weight=9]; 897 -> 368[label="",style="solid", color="burlywood", weight=3]; 898[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];203 -> 898[label="",style="solid", color="burlywood", weight=9]; 898 -> 369[label="",style="solid", color="burlywood", weight=3]; 204[label="primEqInt (Neg (Succ yu3000)) (Pos yu40000)",fontsize=16,color="black",shape="box"];204 -> 370[label="",style="solid", color="black", weight=3]; 205[label="primEqInt (Neg (Succ yu3000)) (Neg yu40000)",fontsize=16,color="burlywood",shape="box"];899[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];205 -> 899[label="",style="solid", color="burlywood", weight=9]; 899 -> 371[label="",style="solid", color="burlywood", weight=3]; 900[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];205 -> 900[label="",style="solid", color="burlywood", weight=9]; 900 -> 372[label="",style="solid", color="burlywood", weight=3]; 206[label="primEqInt (Neg Zero) (Pos yu40000)",fontsize=16,color="burlywood",shape="box"];901[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];206 -> 901[label="",style="solid", color="burlywood", weight=9]; 901 -> 373[label="",style="solid", color="burlywood", weight=3]; 902[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];206 -> 902[label="",style="solid", color="burlywood", weight=9]; 902 -> 374[label="",style="solid", color="burlywood", weight=3]; 207[label="primEqInt (Neg Zero) (Neg yu40000)",fontsize=16,color="burlywood",shape="box"];903[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];207 -> 903[label="",style="solid", color="burlywood", weight=9]; 903 -> 375[label="",style="solid", color="burlywood", weight=3]; 904[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];207 -> 904[label="",style="solid", color="burlywood", weight=9]; 904 -> 376[label="",style="solid", color="burlywood", weight=3]; 208 -> 43[label="",style="dashed", color="red", weight=0]; 208[label="yu300 * yu40001 == yu301 * yu40000",fontsize=16,color="magenta"];208 -> 377[label="",style="dashed", color="magenta", weight=3]; 208 -> 378[label="",style="dashed", color="magenta", weight=3]; 209 -> 33[label="",style="dashed", color="red", weight=0]; 209[label="yu300 == yu40000",fontsize=16,color="magenta"];209 -> 379[label="",style="dashed", color="magenta", weight=3]; 209 -> 380[label="",style="dashed", color="magenta", weight=3]; 210 -> 34[label="",style="dashed", color="red", weight=0]; 210[label="yu300 == yu40000",fontsize=16,color="magenta"];210 -> 381[label="",style="dashed", color="magenta", weight=3]; 210 -> 382[label="",style="dashed", color="magenta", weight=3]; 211 -> 35[label="",style="dashed", color="red", weight=0]; 211[label="yu300 == yu40000",fontsize=16,color="magenta"];211 -> 383[label="",style="dashed", color="magenta", weight=3]; 211 -> 384[label="",style="dashed", color="magenta", weight=3]; 212 -> 36[label="",style="dashed", color="red", weight=0]; 212[label="yu300 == yu40000",fontsize=16,color="magenta"];212 -> 385[label="",style="dashed", color="magenta", weight=3]; 212 -> 386[label="",style="dashed", color="magenta", weight=3]; 213 -> 37[label="",style="dashed", color="red", weight=0]; 213[label="yu300 == yu40000",fontsize=16,color="magenta"];213 -> 387[label="",style="dashed", color="magenta", weight=3]; 213 -> 388[label="",style="dashed", color="magenta", weight=3]; 214 -> 38[label="",style="dashed", color="red", weight=0]; 214[label="yu300 == yu40000",fontsize=16,color="magenta"];214 -> 389[label="",style="dashed", color="magenta", weight=3]; 214 -> 390[label="",style="dashed", color="magenta", weight=3]; 215 -> 39[label="",style="dashed", color="red", weight=0]; 215[label="yu300 == yu40000",fontsize=16,color="magenta"];215 -> 391[label="",style="dashed", color="magenta", weight=3]; 215 -> 392[label="",style="dashed", color="magenta", weight=3]; 216 -> 40[label="",style="dashed", color="red", weight=0]; 216[label="yu300 == yu40000",fontsize=16,color="magenta"];216 -> 393[label="",style="dashed", color="magenta", weight=3]; 216 -> 394[label="",style="dashed", color="magenta", weight=3]; 217 -> 41[label="",style="dashed", color="red", weight=0]; 217[label="yu300 == yu40000",fontsize=16,color="magenta"];217 -> 395[label="",style="dashed", color="magenta", weight=3]; 217 -> 396[label="",style="dashed", color="magenta", weight=3]; 218 -> 42[label="",style="dashed", color="red", weight=0]; 218[label="yu300 == yu40000",fontsize=16,color="magenta"];218 -> 397[label="",style="dashed", color="magenta", weight=3]; 218 -> 398[label="",style="dashed", color="magenta", weight=3]; 219 -> 43[label="",style="dashed", color="red", weight=0]; 219[label="yu300 == yu40000",fontsize=16,color="magenta"];219 -> 399[label="",style="dashed", color="magenta", weight=3]; 219 -> 400[label="",style="dashed", color="magenta", weight=3]; 220 -> 44[label="",style="dashed", color="red", weight=0]; 220[label="yu300 == yu40000",fontsize=16,color="magenta"];220 -> 401[label="",style="dashed", color="magenta", weight=3]; 220 -> 402[label="",style="dashed", color="magenta", weight=3]; 221 -> 45[label="",style="dashed", color="red", weight=0]; 221[label="yu300 == yu40000",fontsize=16,color="magenta"];221 -> 403[label="",style="dashed", color="magenta", weight=3]; 221 -> 404[label="",style="dashed", color="magenta", weight=3]; 222 -> 46[label="",style="dashed", color="red", weight=0]; 222[label="yu300 == yu40000",fontsize=16,color="magenta"];222 -> 405[label="",style="dashed", color="magenta", weight=3]; 222 -> 406[label="",style="dashed", color="magenta", weight=3]; 291[label="yu300 == yu40000",fontsize=16,color="blue",shape="box"];905[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 905[label="",style="solid", color="blue", weight=9]; 905 -> 407[label="",style="solid", color="blue", weight=3]; 906[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 906[label="",style="solid", color="blue", weight=9]; 906 -> 408[label="",style="solid", color="blue", weight=3]; 292[label="yu301 == yu40001",fontsize=16,color="blue",shape="box"];907[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];292 -> 907[label="",style="solid", color="blue", weight=9]; 907 -> 409[label="",style="solid", color="blue", weight=3]; 908[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];292 -> 908[label="",style="solid", color="blue", weight=9]; 908 -> 410[label="",style="solid", color="blue", weight=3]; 223[label="yu14",fontsize=16,color="green",shape="box"];224[label="Just yu11",fontsize=16,color="green",shape="box"];225[label="yu300",fontsize=16,color="green",shape="box"];226[label="yu40000",fontsize=16,color="green",shape="box"];227[label="yu300",fontsize=16,color="green",shape="box"];228[label="yu40000",fontsize=16,color="green",shape="box"];229[label="yu300",fontsize=16,color="green",shape="box"];230[label="yu40000",fontsize=16,color="green",shape="box"];231[label="yu300",fontsize=16,color="green",shape="box"];232[label="yu40000",fontsize=16,color="green",shape="box"];233[label="yu300",fontsize=16,color="green",shape="box"];234[label="yu40000",fontsize=16,color="green",shape="box"];235[label="yu300",fontsize=16,color="green",shape="box"];236[label="yu40000",fontsize=16,color="green",shape="box"];237[label="yu300",fontsize=16,color="green",shape="box"];238[label="yu40000",fontsize=16,color="green",shape="box"];239[label="yu300",fontsize=16,color="green",shape="box"];240[label="yu40000",fontsize=16,color="green",shape="box"];241[label="yu300",fontsize=16,color="green",shape="box"];242[label="yu40000",fontsize=16,color="green",shape="box"];243[label="yu300",fontsize=16,color="green",shape="box"];244[label="yu40000",fontsize=16,color="green",shape="box"];245[label="yu300",fontsize=16,color="green",shape="box"];246[label="yu40000",fontsize=16,color="green",shape="box"];247[label="yu300",fontsize=16,color="green",shape="box"];248[label="yu40000",fontsize=16,color="green",shape="box"];249[label="yu300",fontsize=16,color="green",shape="box"];250[label="yu40000",fontsize=16,color="green",shape="box"];251[label="yu300",fontsize=16,color="green",shape="box"];252[label="yu40000",fontsize=16,color="green",shape="box"];253[label="yu300",fontsize=16,color="green",shape="box"];254[label="yu40000",fontsize=16,color="green",shape="box"];255[label="yu300",fontsize=16,color="green",shape="box"];256[label="yu40000",fontsize=16,color="green",shape="box"];257[label="yu300",fontsize=16,color="green",shape="box"];258[label="yu40000",fontsize=16,color="green",shape="box"];259[label="yu300",fontsize=16,color="green",shape="box"];260[label="yu40000",fontsize=16,color="green",shape="box"];261[label="yu300",fontsize=16,color="green",shape="box"];262[label="yu40000",fontsize=16,color="green",shape="box"];263[label="yu300",fontsize=16,color="green",shape="box"];264[label="yu40000",fontsize=16,color="green",shape="box"];265[label="yu300",fontsize=16,color="green",shape="box"];266[label="yu40000",fontsize=16,color="green",shape="box"];267[label="yu300",fontsize=16,color="green",shape="box"];268[label="yu40000",fontsize=16,color="green",shape="box"];269[label="yu300",fontsize=16,color="green",shape="box"];270[label="yu40000",fontsize=16,color="green",shape="box"];271[label="yu300",fontsize=16,color="green",shape="box"];272[label="yu40000",fontsize=16,color="green",shape="box"];273[label="yu300",fontsize=16,color="green",shape="box"];274[label="yu40000",fontsize=16,color="green",shape="box"];275[label="yu300",fontsize=16,color="green",shape="box"];276[label="yu40000",fontsize=16,color="green",shape="box"];277[label="yu300",fontsize=16,color="green",shape="box"];278[label="yu40000",fontsize=16,color="green",shape="box"];279[label="yu300",fontsize=16,color="green",shape="box"];280[label="yu40000",fontsize=16,color="green",shape="box"];297 -> 33[label="",style="dashed", color="red", weight=0]; 297[label="yu300 == yu40000",fontsize=16,color="magenta"];297 -> 411[label="",style="dashed", color="magenta", weight=3]; 297 -> 412[label="",style="dashed", color="magenta", weight=3]; 298 -> 34[label="",style="dashed", color="red", weight=0]; 298[label="yu300 == yu40000",fontsize=16,color="magenta"];298 -> 413[label="",style="dashed", color="magenta", weight=3]; 298 -> 414[label="",style="dashed", color="magenta", weight=3]; 299 -> 35[label="",style="dashed", color="red", weight=0]; 299[label="yu300 == yu40000",fontsize=16,color="magenta"];299 -> 415[label="",style="dashed", color="magenta", weight=3]; 299 -> 416[label="",style="dashed", color="magenta", weight=3]; 300 -> 36[label="",style="dashed", color="red", weight=0]; 300[label="yu300 == yu40000",fontsize=16,color="magenta"];300 -> 417[label="",style="dashed", color="magenta", weight=3]; 300 -> 418[label="",style="dashed", color="magenta", weight=3]; 301 -> 37[label="",style="dashed", color="red", weight=0]; 301[label="yu300 == yu40000",fontsize=16,color="magenta"];301 -> 419[label="",style="dashed", color="magenta", weight=3]; 301 -> 420[label="",style="dashed", color="magenta", weight=3]; 302 -> 38[label="",style="dashed", color="red", weight=0]; 302[label="yu300 == yu40000",fontsize=16,color="magenta"];302 -> 421[label="",style="dashed", color="magenta", weight=3]; 302 -> 422[label="",style="dashed", color="magenta", weight=3]; 303 -> 39[label="",style="dashed", color="red", weight=0]; 303[label="yu300 == yu40000",fontsize=16,color="magenta"];303 -> 423[label="",style="dashed", color="magenta", weight=3]; 303 -> 424[label="",style="dashed", color="magenta", weight=3]; 304 -> 40[label="",style="dashed", color="red", weight=0]; 304[label="yu300 == yu40000",fontsize=16,color="magenta"];304 -> 425[label="",style="dashed", color="magenta", weight=3]; 304 -> 426[label="",style="dashed", color="magenta", weight=3]; 305 -> 41[label="",style="dashed", color="red", weight=0]; 305[label="yu300 == yu40000",fontsize=16,color="magenta"];305 -> 427[label="",style="dashed", color="magenta", weight=3]; 305 -> 428[label="",style="dashed", color="magenta", weight=3]; 306 -> 42[label="",style="dashed", color="red", weight=0]; 306[label="yu300 == yu40000",fontsize=16,color="magenta"];306 -> 429[label="",style="dashed", color="magenta", weight=3]; 306 -> 430[label="",style="dashed", color="magenta", weight=3]; 307 -> 43[label="",style="dashed", color="red", weight=0]; 307[label="yu300 == yu40000",fontsize=16,color="magenta"];307 -> 431[label="",style="dashed", color="magenta", weight=3]; 307 -> 432[label="",style="dashed", color="magenta", weight=3]; 308 -> 44[label="",style="dashed", color="red", weight=0]; 308[label="yu300 == yu40000",fontsize=16,color="magenta"];308 -> 433[label="",style="dashed", color="magenta", weight=3]; 308 -> 434[label="",style="dashed", color="magenta", weight=3]; 309 -> 45[label="",style="dashed", color="red", weight=0]; 309[label="yu300 == yu40000",fontsize=16,color="magenta"];309 -> 435[label="",style="dashed", color="magenta", weight=3]; 309 -> 436[label="",style="dashed", color="magenta", weight=3]; 310 -> 46[label="",style="dashed", color="red", weight=0]; 310[label="yu300 == yu40000",fontsize=16,color="magenta"];310 -> 437[label="",style="dashed", color="magenta", weight=3]; 310 -> 438[label="",style="dashed", color="magenta", weight=3]; 311[label="yu301 == yu40001",fontsize=16,color="blue",shape="box"];909[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];311 -> 909[label="",style="solid", color="blue", weight=9]; 909 -> 439[label="",style="solid", color="blue", weight=3]; 910[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];311 -> 910[label="",style="solid", color="blue", weight=9]; 910 -> 440[label="",style="solid", color="blue", weight=3]; 911[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];311 -> 911[label="",style="solid", color="blue", weight=9]; 911 -> 441[label="",style="solid", color="blue", weight=3]; 912[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];311 -> 912[label="",style="solid", color="blue", weight=9]; 912 -> 442[label="",style="solid", color="blue", weight=3]; 913[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];311 -> 913[label="",style="solid", color="blue", weight=9]; 913 -> 443[label="",style="solid", color="blue", weight=3]; 914[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];311 -> 914[label="",style="solid", color="blue", weight=9]; 914 -> 444[label="",style="solid", color="blue", weight=3]; 915[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];311 -> 915[label="",style="solid", color="blue", weight=9]; 915 -> 445[label="",style="solid", color="blue", weight=3]; 916[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];311 -> 916[label="",style="solid", color="blue", weight=9]; 916 -> 446[label="",style="solid", color="blue", weight=3]; 917[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];311 -> 917[label="",style="solid", color="blue", weight=9]; 917 -> 447[label="",style="solid", color="blue", weight=3]; 918[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];311 -> 918[label="",style="solid", color="blue", weight=9]; 918 -> 448[label="",style="solid", color="blue", weight=3]; 919[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];311 -> 919[label="",style="solid", color="blue", weight=9]; 919 -> 449[label="",style="solid", color="blue", weight=3]; 920[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];311 -> 920[label="",style="solid", color="blue", weight=9]; 920 -> 450[label="",style="solid", color="blue", weight=3]; 921[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];311 -> 921[label="",style="solid", color="blue", weight=9]; 921 -> 451[label="",style="solid", color="blue", weight=3]; 922[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];311 -> 922[label="",style="solid", color="blue", weight=9]; 922 -> 452[label="",style="solid", color="blue", weight=3]; 312[label="yu302 == yu40002",fontsize=16,color="blue",shape="box"];923[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 923[label="",style="solid", color="blue", weight=9]; 923 -> 453[label="",style="solid", color="blue", weight=3]; 924[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 924[label="",style="solid", color="blue", weight=9]; 924 -> 454[label="",style="solid", color="blue", weight=3]; 925[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 925[label="",style="solid", color="blue", weight=9]; 925 -> 455[label="",style="solid", color="blue", weight=3]; 926[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 926[label="",style="solid", color="blue", weight=9]; 926 -> 456[label="",style="solid", color="blue", weight=3]; 927[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 927[label="",style="solid", color="blue", weight=9]; 927 -> 457[label="",style="solid", color="blue", weight=3]; 928[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 928[label="",style="solid", color="blue", weight=9]; 928 -> 458[label="",style="solid", color="blue", weight=3]; 929[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 929[label="",style="solid", color="blue", weight=9]; 929 -> 459[label="",style="solid", color="blue", weight=3]; 930[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 930[label="",style="solid", color="blue", weight=9]; 930 -> 460[label="",style="solid", color="blue", weight=3]; 931[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 931[label="",style="solid", color="blue", weight=9]; 931 -> 461[label="",style="solid", color="blue", weight=3]; 932[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 932[label="",style="solid", color="blue", weight=9]; 932 -> 462[label="",style="solid", color="blue", weight=3]; 933[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 933[label="",style="solid", color="blue", weight=9]; 933 -> 463[label="",style="solid", color="blue", weight=3]; 934[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 934[label="",style="solid", color="blue", weight=9]; 934 -> 464[label="",style="solid", color="blue", weight=3]; 935[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 935[label="",style="solid", color="blue", weight=9]; 935 -> 465[label="",style="solid", color="blue", weight=3]; 936[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 936[label="",style="solid", color="blue", weight=9]; 936 -> 466[label="",style="solid", color="blue", weight=3]; 313[label="False && yu32",fontsize=16,color="black",shape="box"];313 -> 467[label="",style="solid", color="black", weight=3]; 314[label="True && yu32",fontsize=16,color="black",shape="box"];314 -> 468[label="",style="solid", color="black", weight=3]; 315[label="primEqNat (Succ yu3000) yu40000",fontsize=16,color="burlywood",shape="box"];937[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];315 -> 937[label="",style="solid", color="burlywood", weight=9]; 937 -> 469[label="",style="solid", color="burlywood", weight=3]; 938[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];315 -> 938[label="",style="solid", color="burlywood", weight=9]; 938 -> 470[label="",style="solid", color="burlywood", weight=3]; 316[label="primEqNat Zero yu40000",fontsize=16,color="burlywood",shape="box"];939[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];316 -> 939[label="",style="solid", color="burlywood", weight=9]; 939 -> 471[label="",style="solid", color="burlywood", weight=3]; 940[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];316 -> 940[label="",style="solid", color="burlywood", weight=9]; 940 -> 472[label="",style="solid", color="burlywood", weight=3]; 317 -> 33[label="",style="dashed", color="red", weight=0]; 317[label="yu300 == yu40000",fontsize=16,color="magenta"];317 -> 473[label="",style="dashed", color="magenta", weight=3]; 317 -> 474[label="",style="dashed", color="magenta", weight=3]; 318 -> 34[label="",style="dashed", color="red", weight=0]; 318[label="yu300 == yu40000",fontsize=16,color="magenta"];318 -> 475[label="",style="dashed", color="magenta", weight=3]; 318 -> 476[label="",style="dashed", color="magenta", weight=3]; 319 -> 35[label="",style="dashed", color="red", weight=0]; 319[label="yu300 == yu40000",fontsize=16,color="magenta"];319 -> 477[label="",style="dashed", color="magenta", weight=3]; 319 -> 478[label="",style="dashed", color="magenta", weight=3]; 320 -> 36[label="",style="dashed", color="red", weight=0]; 320[label="yu300 == yu40000",fontsize=16,color="magenta"];320 -> 479[label="",style="dashed", color="magenta", weight=3]; 320 -> 480[label="",style="dashed", color="magenta", weight=3]; 321 -> 37[label="",style="dashed", color="red", weight=0]; 321[label="yu300 == yu40000",fontsize=16,color="magenta"];321 -> 481[label="",style="dashed", color="magenta", weight=3]; 321 -> 482[label="",style="dashed", color="magenta", weight=3]; 322 -> 38[label="",style="dashed", color="red", weight=0]; 322[label="yu300 == yu40000",fontsize=16,color="magenta"];322 -> 483[label="",style="dashed", color="magenta", weight=3]; 322 -> 484[label="",style="dashed", color="magenta", weight=3]; 323 -> 39[label="",style="dashed", color="red", weight=0]; 323[label="yu300 == yu40000",fontsize=16,color="magenta"];323 -> 485[label="",style="dashed", color="magenta", weight=3]; 323 -> 486[label="",style="dashed", color="magenta", weight=3]; 324 -> 40[label="",style="dashed", color="red", weight=0]; 324[label="yu300 == yu40000",fontsize=16,color="magenta"];324 -> 487[label="",style="dashed", color="magenta", weight=3]; 324 -> 488[label="",style="dashed", color="magenta", weight=3]; 325 -> 41[label="",style="dashed", color="red", weight=0]; 325[label="yu300 == yu40000",fontsize=16,color="magenta"];325 -> 489[label="",style="dashed", color="magenta", weight=3]; 325 -> 490[label="",style="dashed", color="magenta", weight=3]; 326 -> 42[label="",style="dashed", color="red", weight=0]; 326[label="yu300 == yu40000",fontsize=16,color="magenta"];326 -> 491[label="",style="dashed", color="magenta", weight=3]; 326 -> 492[label="",style="dashed", color="magenta", weight=3]; 327 -> 43[label="",style="dashed", color="red", weight=0]; 327[label="yu300 == yu40000",fontsize=16,color="magenta"];327 -> 493[label="",style="dashed", color="magenta", weight=3]; 327 -> 494[label="",style="dashed", color="magenta", weight=3]; 328 -> 44[label="",style="dashed", color="red", weight=0]; 328[label="yu300 == yu40000",fontsize=16,color="magenta"];328 -> 495[label="",style="dashed", color="magenta", weight=3]; 328 -> 496[label="",style="dashed", color="magenta", weight=3]; 329 -> 45[label="",style="dashed", color="red", weight=0]; 329[label="yu300 == yu40000",fontsize=16,color="magenta"];329 -> 497[label="",style="dashed", color="magenta", weight=3]; 329 -> 498[label="",style="dashed", color="magenta", weight=3]; 330 -> 46[label="",style="dashed", color="red", weight=0]; 330[label="yu300 == yu40000",fontsize=16,color="magenta"];330 -> 499[label="",style="dashed", color="magenta", weight=3]; 330 -> 500[label="",style="dashed", color="magenta", weight=3]; 331[label="yu301",fontsize=16,color="green",shape="box"];332[label="yu40001",fontsize=16,color="green",shape="box"];333 -> 33[label="",style="dashed", color="red", weight=0]; 333[label="yu300 == yu40000",fontsize=16,color="magenta"];333 -> 501[label="",style="dashed", color="magenta", weight=3]; 333 -> 502[label="",style="dashed", color="magenta", weight=3]; 334 -> 34[label="",style="dashed", color="red", weight=0]; 334[label="yu300 == yu40000",fontsize=16,color="magenta"];334 -> 503[label="",style="dashed", color="magenta", weight=3]; 334 -> 504[label="",style="dashed", color="magenta", weight=3]; 335 -> 35[label="",style="dashed", color="red", weight=0]; 335[label="yu300 == yu40000",fontsize=16,color="magenta"];335 -> 505[label="",style="dashed", color="magenta", weight=3]; 335 -> 506[label="",style="dashed", color="magenta", weight=3]; 336 -> 36[label="",style="dashed", color="red", weight=0]; 336[label="yu300 == yu40000",fontsize=16,color="magenta"];336 -> 507[label="",style="dashed", color="magenta", weight=3]; 336 -> 508[label="",style="dashed", color="magenta", weight=3]; 337 -> 37[label="",style="dashed", color="red", weight=0]; 337[label="yu300 == yu40000",fontsize=16,color="magenta"];337 -> 509[label="",style="dashed", color="magenta", weight=3]; 337 -> 510[label="",style="dashed", color="magenta", weight=3]; 338 -> 38[label="",style="dashed", color="red", weight=0]; 338[label="yu300 == yu40000",fontsize=16,color="magenta"];338 -> 511[label="",style="dashed", color="magenta", weight=3]; 338 -> 512[label="",style="dashed", color="magenta", weight=3]; 339 -> 39[label="",style="dashed", color="red", weight=0]; 339[label="yu300 == yu40000",fontsize=16,color="magenta"];339 -> 513[label="",style="dashed", color="magenta", weight=3]; 339 -> 514[label="",style="dashed", color="magenta", weight=3]; 340 -> 40[label="",style="dashed", color="red", weight=0]; 340[label="yu300 == yu40000",fontsize=16,color="magenta"];340 -> 515[label="",style="dashed", color="magenta", weight=3]; 340 -> 516[label="",style="dashed", color="magenta", weight=3]; 341 -> 41[label="",style="dashed", color="red", weight=0]; 341[label="yu300 == yu40000",fontsize=16,color="magenta"];341 -> 517[label="",style="dashed", color="magenta", weight=3]; 341 -> 518[label="",style="dashed", color="magenta", weight=3]; 342 -> 42[label="",style="dashed", color="red", weight=0]; 342[label="yu300 == yu40000",fontsize=16,color="magenta"];342 -> 519[label="",style="dashed", color="magenta", weight=3]; 342 -> 520[label="",style="dashed", color="magenta", weight=3]; 343 -> 43[label="",style="dashed", color="red", weight=0]; 343[label="yu300 == yu40000",fontsize=16,color="magenta"];343 -> 521[label="",style="dashed", color="magenta", weight=3]; 343 -> 522[label="",style="dashed", color="magenta", weight=3]; 344 -> 44[label="",style="dashed", color="red", weight=0]; 344[label="yu300 == yu40000",fontsize=16,color="magenta"];344 -> 523[label="",style="dashed", color="magenta", weight=3]; 344 -> 524[label="",style="dashed", color="magenta", weight=3]; 345 -> 45[label="",style="dashed", color="red", weight=0]; 345[label="yu300 == yu40000",fontsize=16,color="magenta"];345 -> 525[label="",style="dashed", color="magenta", weight=3]; 345 -> 526[label="",style="dashed", color="magenta", weight=3]; 346 -> 46[label="",style="dashed", color="red", weight=0]; 346[label="yu300 == yu40000",fontsize=16,color="magenta"];346 -> 527[label="",style="dashed", color="magenta", weight=3]; 346 -> 528[label="",style="dashed", color="magenta", weight=3]; 347 -> 33[label="",style="dashed", color="red", weight=0]; 347[label="yu301 == yu40001",fontsize=16,color="magenta"];347 -> 529[label="",style="dashed", color="magenta", weight=3]; 347 -> 530[label="",style="dashed", color="magenta", weight=3]; 348 -> 34[label="",style="dashed", color="red", weight=0]; 348[label="yu301 == yu40001",fontsize=16,color="magenta"];348 -> 531[label="",style="dashed", color="magenta", weight=3]; 348 -> 532[label="",style="dashed", color="magenta", weight=3]; 349 -> 35[label="",style="dashed", color="red", weight=0]; 349[label="yu301 == yu40001",fontsize=16,color="magenta"];349 -> 533[label="",style="dashed", color="magenta", weight=3]; 349 -> 534[label="",style="dashed", color="magenta", weight=3]; 350 -> 36[label="",style="dashed", color="red", weight=0]; 350[label="yu301 == yu40001",fontsize=16,color="magenta"];350 -> 535[label="",style="dashed", color="magenta", weight=3]; 350 -> 536[label="",style="dashed", color="magenta", weight=3]; 351 -> 37[label="",style="dashed", color="red", weight=0]; 351[label="yu301 == yu40001",fontsize=16,color="magenta"];351 -> 537[label="",style="dashed", color="magenta", weight=3]; 351 -> 538[label="",style="dashed", color="magenta", weight=3]; 352 -> 38[label="",style="dashed", color="red", weight=0]; 352[label="yu301 == yu40001",fontsize=16,color="magenta"];352 -> 539[label="",style="dashed", color="magenta", weight=3]; 352 -> 540[label="",style="dashed", color="magenta", weight=3]; 353 -> 39[label="",style="dashed", color="red", weight=0]; 353[label="yu301 == yu40001",fontsize=16,color="magenta"];353 -> 541[label="",style="dashed", color="magenta", weight=3]; 353 -> 542[label="",style="dashed", color="magenta", weight=3]; 354 -> 40[label="",style="dashed", color="red", weight=0]; 354[label="yu301 == yu40001",fontsize=16,color="magenta"];354 -> 543[label="",style="dashed", color="magenta", weight=3]; 354 -> 544[label="",style="dashed", color="magenta", weight=3]; 355 -> 41[label="",style="dashed", color="red", weight=0]; 355[label="yu301 == yu40001",fontsize=16,color="magenta"];355 -> 545[label="",style="dashed", color="magenta", weight=3]; 355 -> 546[label="",style="dashed", color="magenta", weight=3]; 356 -> 42[label="",style="dashed", color="red", weight=0]; 356[label="yu301 == yu40001",fontsize=16,color="magenta"];356 -> 547[label="",style="dashed", color="magenta", weight=3]; 356 -> 548[label="",style="dashed", color="magenta", weight=3]; 357 -> 43[label="",style="dashed", color="red", weight=0]; 357[label="yu301 == yu40001",fontsize=16,color="magenta"];357 -> 549[label="",style="dashed", color="magenta", weight=3]; 357 -> 550[label="",style="dashed", color="magenta", weight=3]; 358 -> 44[label="",style="dashed", color="red", weight=0]; 358[label="yu301 == yu40001",fontsize=16,color="magenta"];358 -> 551[label="",style="dashed", color="magenta", weight=3]; 358 -> 552[label="",style="dashed", color="magenta", weight=3]; 359 -> 45[label="",style="dashed", color="red", weight=0]; 359[label="yu301 == yu40001",fontsize=16,color="magenta"];359 -> 553[label="",style="dashed", color="magenta", weight=3]; 359 -> 554[label="",style="dashed", color="magenta", weight=3]; 360 -> 46[label="",style="dashed", color="red", weight=0]; 360[label="yu301 == yu40001",fontsize=16,color="magenta"];360 -> 555[label="",style="dashed", color="magenta", weight=3]; 360 -> 556[label="",style="dashed", color="magenta", weight=3]; 361[label="yu300 * yu40001",fontsize=16,color="black",shape="triangle"];361 -> 557[label="",style="solid", color="black", weight=3]; 362 -> 361[label="",style="dashed", color="red", weight=0]; 362[label="yu301 * yu40000",fontsize=16,color="magenta"];362 -> 558[label="",style="dashed", color="magenta", weight=3]; 362 -> 559[label="",style="dashed", color="magenta", weight=3]; 363[label="primEqInt (Pos (Succ yu3000)) (Pos (Succ yu400000))",fontsize=16,color="black",shape="box"];363 -> 560[label="",style="solid", color="black", weight=3]; 364[label="primEqInt (Pos (Succ yu3000)) (Pos Zero)",fontsize=16,color="black",shape="box"];364 -> 561[label="",style="solid", color="black", weight=3]; 365[label="False",fontsize=16,color="green",shape="box"];366[label="primEqInt (Pos Zero) (Pos (Succ yu400000))",fontsize=16,color="black",shape="box"];366 -> 562[label="",style="solid", color="black", weight=3]; 367[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];367 -> 563[label="",style="solid", color="black", weight=3]; 368[label="primEqInt (Pos Zero) (Neg (Succ yu400000))",fontsize=16,color="black",shape="box"];368 -> 564[label="",style="solid", color="black", weight=3]; 369[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];369 -> 565[label="",style="solid", color="black", weight=3]; 370[label="False",fontsize=16,color="green",shape="box"];371[label="primEqInt (Neg (Succ yu3000)) (Neg (Succ yu400000))",fontsize=16,color="black",shape="box"];371 -> 566[label="",style="solid", color="black", weight=3]; 372[label="primEqInt (Neg (Succ yu3000)) (Neg Zero)",fontsize=16,color="black",shape="box"];372 -> 567[label="",style="solid", color="black", weight=3]; 373[label="primEqInt (Neg Zero) (Pos (Succ yu400000))",fontsize=16,color="black",shape="box"];373 -> 568[label="",style="solid", color="black", weight=3]; 374[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];374 -> 569[label="",style="solid", color="black", weight=3]; 375[label="primEqInt (Neg Zero) (Neg (Succ yu400000))",fontsize=16,color="black",shape="box"];375 -> 570[label="",style="solid", color="black", weight=3]; 376[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];376 -> 571[label="",style="solid", color="black", weight=3]; 377 -> 361[label="",style="dashed", color="red", weight=0]; 377[label="yu300 * yu40001",fontsize=16,color="magenta"];377 -> 572[label="",style="dashed", color="magenta", weight=3]; 377 -> 573[label="",style="dashed", color="magenta", weight=3]; 378 -> 361[label="",style="dashed", color="red", weight=0]; 378[label="yu301 * yu40000",fontsize=16,color="magenta"];378 -> 574[label="",style="dashed", color="magenta", weight=3]; 378 -> 575[label="",style="dashed", color="magenta", weight=3]; 379[label="yu300",fontsize=16,color="green",shape="box"];380[label="yu40000",fontsize=16,color="green",shape="box"];381[label="yu300",fontsize=16,color="green",shape="box"];382[label="yu40000",fontsize=16,color="green",shape="box"];383[label="yu300",fontsize=16,color="green",shape="box"];384[label="yu40000",fontsize=16,color="green",shape="box"];385[label="yu300",fontsize=16,color="green",shape="box"];386[label="yu40000",fontsize=16,color="green",shape="box"];387[label="yu300",fontsize=16,color="green",shape="box"];388[label="yu40000",fontsize=16,color="green",shape="box"];389[label="yu300",fontsize=16,color="green",shape="box"];390[label="yu40000",fontsize=16,color="green",shape="box"];391[label="yu300",fontsize=16,color="green",shape="box"];392[label="yu40000",fontsize=16,color="green",shape="box"];393[label="yu300",fontsize=16,color="green",shape="box"];394[label="yu40000",fontsize=16,color="green",shape="box"];395[label="yu300",fontsize=16,color="green",shape="box"];396[label="yu40000",fontsize=16,color="green",shape="box"];397[label="yu300",fontsize=16,color="green",shape="box"];398[label="yu40000",fontsize=16,color="green",shape="box"];399[label="yu300",fontsize=16,color="green",shape="box"];400[label="yu40000",fontsize=16,color="green",shape="box"];401[label="yu300",fontsize=16,color="green",shape="box"];402[label="yu40000",fontsize=16,color="green",shape="box"];403[label="yu300",fontsize=16,color="green",shape="box"];404[label="yu40000",fontsize=16,color="green",shape="box"];405[label="yu300",fontsize=16,color="green",shape="box"];406[label="yu40000",fontsize=16,color="green",shape="box"];407 -> 41[label="",style="dashed", color="red", weight=0]; 407[label="yu300 == yu40000",fontsize=16,color="magenta"];407 -> 576[label="",style="dashed", color="magenta", weight=3]; 407 -> 577[label="",style="dashed", color="magenta", weight=3]; 408 -> 43[label="",style="dashed", color="red", weight=0]; 408[label="yu300 == yu40000",fontsize=16,color="magenta"];408 -> 578[label="",style="dashed", color="magenta", weight=3]; 408 -> 579[label="",style="dashed", color="magenta", weight=3]; 409 -> 41[label="",style="dashed", color="red", weight=0]; 409[label="yu301 == yu40001",fontsize=16,color="magenta"];409 -> 580[label="",style="dashed", color="magenta", weight=3]; 409 -> 581[label="",style="dashed", color="magenta", weight=3]; 410 -> 43[label="",style="dashed", color="red", weight=0]; 410[label="yu301 == yu40001",fontsize=16,color="magenta"];410 -> 582[label="",style="dashed", color="magenta", weight=3]; 410 -> 583[label="",style="dashed", color="magenta", weight=3]; 411[label="yu300",fontsize=16,color="green",shape="box"];412[label="yu40000",fontsize=16,color="green",shape="box"];413[label="yu300",fontsize=16,color="green",shape="box"];414[label="yu40000",fontsize=16,color="green",shape="box"];415[label="yu300",fontsize=16,color="green",shape="box"];416[label="yu40000",fontsize=16,color="green",shape="box"];417[label="yu300",fontsize=16,color="green",shape="box"];418[label="yu40000",fontsize=16,color="green",shape="box"];419[label="yu300",fontsize=16,color="green",shape="box"];420[label="yu40000",fontsize=16,color="green",shape="box"];421[label="yu300",fontsize=16,color="green",shape="box"];422[label="yu40000",fontsize=16,color="green",shape="box"];423[label="yu300",fontsize=16,color="green",shape="box"];424[label="yu40000",fontsize=16,color="green",shape="box"];425[label="yu300",fontsize=16,color="green",shape="box"];426[label="yu40000",fontsize=16,color="green",shape="box"];427[label="yu300",fontsize=16,color="green",shape="box"];428[label="yu40000",fontsize=16,color="green",shape="box"];429[label="yu300",fontsize=16,color="green",shape="box"];430[label="yu40000",fontsize=16,color="green",shape="box"];431[label="yu300",fontsize=16,color="green",shape="box"];432[label="yu40000",fontsize=16,color="green",shape="box"];433[label="yu300",fontsize=16,color="green",shape="box"];434[label="yu40000",fontsize=16,color="green",shape="box"];435[label="yu300",fontsize=16,color="green",shape="box"];436[label="yu40000",fontsize=16,color="green",shape="box"];437[label="yu300",fontsize=16,color="green",shape="box"];438[label="yu40000",fontsize=16,color="green",shape="box"];439 -> 33[label="",style="dashed", color="red", weight=0]; 439[label="yu301 == yu40001",fontsize=16,color="magenta"];439 -> 584[label="",style="dashed", color="magenta", weight=3]; 439 -> 585[label="",style="dashed", color="magenta", weight=3]; 440 -> 34[label="",style="dashed", color="red", weight=0]; 440[label="yu301 == yu40001",fontsize=16,color="magenta"];440 -> 586[label="",style="dashed", color="magenta", weight=3]; 440 -> 587[label="",style="dashed", color="magenta", weight=3]; 441 -> 35[label="",style="dashed", color="red", weight=0]; 441[label="yu301 == yu40001",fontsize=16,color="magenta"];441 -> 588[label="",style="dashed", color="magenta", weight=3]; 441 -> 589[label="",style="dashed", color="magenta", weight=3]; 442 -> 36[label="",style="dashed", color="red", weight=0]; 442[label="yu301 == yu40001",fontsize=16,color="magenta"];442 -> 590[label="",style="dashed", color="magenta", weight=3]; 442 -> 591[label="",style="dashed", color="magenta", weight=3]; 443 -> 37[label="",style="dashed", color="red", weight=0]; 443[label="yu301 == yu40001",fontsize=16,color="magenta"];443 -> 592[label="",style="dashed", color="magenta", weight=3]; 443 -> 593[label="",style="dashed", color="magenta", weight=3]; 444 -> 38[label="",style="dashed", color="red", weight=0]; 444[label="yu301 == yu40001",fontsize=16,color="magenta"];444 -> 594[label="",style="dashed", color="magenta", weight=3]; 444 -> 595[label="",style="dashed", color="magenta", weight=3]; 445 -> 39[label="",style="dashed", color="red", weight=0]; 445[label="yu301 == yu40001",fontsize=16,color="magenta"];445 -> 596[label="",style="dashed", color="magenta", weight=3]; 445 -> 597[label="",style="dashed", color="magenta", weight=3]; 446 -> 40[label="",style="dashed", color="red", weight=0]; 446[label="yu301 == yu40001",fontsize=16,color="magenta"];446 -> 598[label="",style="dashed", color="magenta", weight=3]; 446 -> 599[label="",style="dashed", color="magenta", weight=3]; 447 -> 41[label="",style="dashed", color="red", weight=0]; 447[label="yu301 == yu40001",fontsize=16,color="magenta"];447 -> 600[label="",style="dashed", color="magenta", weight=3]; 447 -> 601[label="",style="dashed", color="magenta", weight=3]; 448 -> 42[label="",style="dashed", color="red", weight=0]; 448[label="yu301 == yu40001",fontsize=16,color="magenta"];448 -> 602[label="",style="dashed", color="magenta", weight=3]; 448 -> 603[label="",style="dashed", color="magenta", weight=3]; 449 -> 43[label="",style="dashed", color="red", weight=0]; 449[label="yu301 == yu40001",fontsize=16,color="magenta"];449 -> 604[label="",style="dashed", color="magenta", weight=3]; 449 -> 605[label="",style="dashed", color="magenta", weight=3]; 450 -> 44[label="",style="dashed", color="red", weight=0]; 450[label="yu301 == yu40001",fontsize=16,color="magenta"];450 -> 606[label="",style="dashed", color="magenta", weight=3]; 450 -> 607[label="",style="dashed", color="magenta", weight=3]; 451 -> 45[label="",style="dashed", color="red", weight=0]; 451[label="yu301 == yu40001",fontsize=16,color="magenta"];451 -> 608[label="",style="dashed", color="magenta", weight=3]; 451 -> 609[label="",style="dashed", color="magenta", weight=3]; 452 -> 46[label="",style="dashed", color="red", weight=0]; 452[label="yu301 == yu40001",fontsize=16,color="magenta"];452 -> 610[label="",style="dashed", color="magenta", weight=3]; 452 -> 611[label="",style="dashed", color="magenta", weight=3]; 453 -> 33[label="",style="dashed", color="red", weight=0]; 453[label="yu302 == yu40002",fontsize=16,color="magenta"];453 -> 612[label="",style="dashed", color="magenta", weight=3]; 453 -> 613[label="",style="dashed", color="magenta", weight=3]; 454 -> 34[label="",style="dashed", color="red", weight=0]; 454[label="yu302 == yu40002",fontsize=16,color="magenta"];454 -> 614[label="",style="dashed", color="magenta", weight=3]; 454 -> 615[label="",style="dashed", color="magenta", weight=3]; 455 -> 35[label="",style="dashed", color="red", weight=0]; 455[label="yu302 == yu40002",fontsize=16,color="magenta"];455 -> 616[label="",style="dashed", color="magenta", weight=3]; 455 -> 617[label="",style="dashed", color="magenta", weight=3]; 456 -> 36[label="",style="dashed", color="red", weight=0]; 456[label="yu302 == yu40002",fontsize=16,color="magenta"];456 -> 618[label="",style="dashed", color="magenta", weight=3]; 456 -> 619[label="",style="dashed", color="magenta", weight=3]; 457 -> 37[label="",style="dashed", color="red", weight=0]; 457[label="yu302 == yu40002",fontsize=16,color="magenta"];457 -> 620[label="",style="dashed", color="magenta", weight=3]; 457 -> 621[label="",style="dashed", color="magenta", weight=3]; 458 -> 38[label="",style="dashed", color="red", weight=0]; 458[label="yu302 == yu40002",fontsize=16,color="magenta"];458 -> 622[label="",style="dashed", color="magenta", weight=3]; 458 -> 623[label="",style="dashed", color="magenta", weight=3]; 459 -> 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43[label="",style="dashed", color="red", weight=0]; 463[label="yu302 == yu40002",fontsize=16,color="magenta"];463 -> 632[label="",style="dashed", color="magenta", weight=3]; 463 -> 633[label="",style="dashed", color="magenta", weight=3]; 464 -> 44[label="",style="dashed", color="red", weight=0]; 464[label="yu302 == yu40002",fontsize=16,color="magenta"];464 -> 634[label="",style="dashed", color="magenta", weight=3]; 464 -> 635[label="",style="dashed", color="magenta", weight=3]; 465 -> 45[label="",style="dashed", color="red", weight=0]; 465[label="yu302 == yu40002",fontsize=16,color="magenta"];465 -> 636[label="",style="dashed", color="magenta", weight=3]; 465 -> 637[label="",style="dashed", color="magenta", weight=3]; 466 -> 46[label="",style="dashed", color="red", weight=0]; 466[label="yu302 == yu40002",fontsize=16,color="magenta"];466 -> 638[label="",style="dashed", color="magenta", weight=3]; 466 -> 639[label="",style="dashed", color="magenta", weight=3]; 467[label="False",fontsize=16,color="green",shape="box"];468[label="yu32",fontsize=16,color="green",shape="box"];469[label="primEqNat (Succ yu3000) (Succ yu400000)",fontsize=16,color="black",shape="box"];469 -> 640[label="",style="solid", color="black", weight=3]; 470[label="primEqNat (Succ yu3000) Zero",fontsize=16,color="black",shape="box"];470 -> 641[label="",style="solid", color="black", weight=3]; 471[label="primEqNat Zero (Succ yu400000)",fontsize=16,color="black",shape="box"];471 -> 642[label="",style="solid", color="black", weight=3]; 472[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];472 -> 643[label="",style="solid", color="black", weight=3]; 473[label="yu300",fontsize=16,color="green",shape="box"];474[label="yu40000",fontsize=16,color="green",shape="box"];475[label="yu300",fontsize=16,color="green",shape="box"];476[label="yu40000",fontsize=16,color="green",shape="box"];477[label="yu300",fontsize=16,color="green",shape="box"];478[label="yu40000",fontsize=16,color="green",shape="box"];479[label="yu300",fontsize=16,color="green",shape="box"];480[label="yu40000",fontsize=16,color="green",shape="box"];481[label="yu300",fontsize=16,color="green",shape="box"];482[label="yu40000",fontsize=16,color="green",shape="box"];483[label="yu300",fontsize=16,color="green",shape="box"];484[label="yu40000",fontsize=16,color="green",shape="box"];485[label="yu300",fontsize=16,color="green",shape="box"];486[label="yu40000",fontsize=16,color="green",shape="box"];487[label="yu300",fontsize=16,color="green",shape="box"];488[label="yu40000",fontsize=16,color="green",shape="box"];489[label="yu300",fontsize=16,color="green",shape="box"];490[label="yu40000",fontsize=16,color="green",shape="box"];491[label="yu300",fontsize=16,color="green",shape="box"];492[label="yu40000",fontsize=16,color="green",shape="box"];493[label="yu300",fontsize=16,color="green",shape="box"];494[label="yu40000",fontsize=16,color="green",shape="box"];495[label="yu300",fontsize=16,color="green",shape="box"];496[label="yu40000",fontsize=16,color="green",shape="box"];497[label="yu300",fontsize=16,color="green",shape="box"];498[label="yu40000",fontsize=16,color="green",shape="box"];499[label="yu300",fontsize=16,color="green",shape="box"];500[label="yu40000",fontsize=16,color="green",shape="box"];501[label="yu300",fontsize=16,color="green",shape="box"];502[label="yu40000",fontsize=16,color="green",shape="box"];503[label="yu300",fontsize=16,color="green",shape="box"];504[label="yu40000",fontsize=16,color="green",shape="box"];505[label="yu300",fontsize=16,color="green",shape="box"];506[label="yu40000",fontsize=16,color="green",shape="box"];507[label="yu300",fontsize=16,color="green",shape="box"];508[label="yu40000",fontsize=16,color="green",shape="box"];509[label="yu300",fontsize=16,color="green",shape="box"];510[label="yu40000",fontsize=16,color="green",shape="box"];511[label="yu300",fontsize=16,color="green",shape="box"];512[label="yu40000",fontsize=16,color="green",shape="box"];513[label="yu300",fontsize=16,color="green",shape="box"];514[label="yu40000",fontsize=16,color="green",shape="box"];515[label="yu300",fontsize=16,color="green",shape="box"];516[label="yu40000",fontsize=16,color="green",shape="box"];517[label="yu300",fontsize=16,color="green",shape="box"];518[label="yu40000",fontsize=16,color="green",shape="box"];519[label="yu300",fontsize=16,color="green",shape="box"];520[label="yu40000",fontsize=16,color="green",shape="box"];521[label="yu300",fontsize=16,color="green",shape="box"];522[label="yu40000",fontsize=16,color="green",shape="box"];523[label="yu300",fontsize=16,color="green",shape="box"];524[label="yu40000",fontsize=16,color="green",shape="box"];525[label="yu300",fontsize=16,color="green",shape="box"];526[label="yu40000",fontsize=16,color="green",shape="box"];527[label="yu300",fontsize=16,color="green",shape="box"];528[label="yu40000",fontsize=16,color="green",shape="box"];529[label="yu301",fontsize=16,color="green",shape="box"];530[label="yu40001",fontsize=16,color="green",shape="box"];531[label="yu301",fontsize=16,color="green",shape="box"];532[label="yu40001",fontsize=16,color="green",shape="box"];533[label="yu301",fontsize=16,color="green",shape="box"];534[label="yu40001",fontsize=16,color="green",shape="box"];535[label="yu301",fontsize=16,color="green",shape="box"];536[label="yu40001",fontsize=16,color="green",shape="box"];537[label="yu301",fontsize=16,color="green",shape="box"];538[label="yu40001",fontsize=16,color="green",shape="box"];539[label="yu301",fontsize=16,color="green",shape="box"];540[label="yu40001",fontsize=16,color="green",shape="box"];541[label="yu301",fontsize=16,color="green",shape="box"];542[label="yu40001",fontsize=16,color="green",shape="box"];543[label="yu301",fontsize=16,color="green",shape="box"];544[label="yu40001",fontsize=16,color="green",shape="box"];545[label="yu301",fontsize=16,color="green",shape="box"];546[label="yu40001",fontsize=16,color="green",shape="box"];547[label="yu301",fontsize=16,color="green",shape="box"];548[label="yu40001",fontsize=16,color="green",shape="box"];549[label="yu301",fontsize=16,color="green",shape="box"];550[label="yu40001",fontsize=16,color="green",shape="box"];551[label="yu301",fontsize=16,color="green",shape="box"];552[label="yu40001",fontsize=16,color="green",shape="box"];553[label="yu301",fontsize=16,color="green",shape="box"];554[label="yu40001",fontsize=16,color="green",shape="box"];555[label="yu301",fontsize=16,color="green",shape="box"];556[label="yu40001",fontsize=16,color="green",shape="box"];557[label="primMulInt yu300 yu40001",fontsize=16,color="burlywood",shape="box"];941[label="yu300/Pos yu3000",fontsize=10,color="white",style="solid",shape="box"];557 -> 941[label="",style="solid", color="burlywood", weight=9]; 941 -> 644[label="",style="solid", color="burlywood", weight=3]; 942[label="yu300/Neg yu3000",fontsize=10,color="white",style="solid",shape="box"];557 -> 942[label="",style="solid", color="burlywood", weight=9]; 942 -> 645[label="",style="solid", color="burlywood", weight=3]; 558[label="yu301",fontsize=16,color="green",shape="box"];559[label="yu40000",fontsize=16,color="green",shape="box"];560 -> 185[label="",style="dashed", color="red", weight=0]; 560[label="primEqNat yu3000 yu400000",fontsize=16,color="magenta"];560 -> 646[label="",style="dashed", color="magenta", weight=3]; 560 -> 647[label="",style="dashed", color="magenta", weight=3]; 561[label="False",fontsize=16,color="green",shape="box"];562[label="False",fontsize=16,color="green",shape="box"];563[label="True",fontsize=16,color="green",shape="box"];564[label="False",fontsize=16,color="green",shape="box"];565[label="True",fontsize=16,color="green",shape="box"];566 -> 185[label="",style="dashed", color="red", weight=0]; 566[label="primEqNat yu3000 yu400000",fontsize=16,color="magenta"];566 -> 648[label="",style="dashed", color="magenta", weight=3]; 566 -> 649[label="",style="dashed", color="magenta", weight=3]; 567[label="False",fontsize=16,color="green",shape="box"];568[label="False",fontsize=16,color="green",shape="box"];569[label="True",fontsize=16,color="green",shape="box"];570[label="False",fontsize=16,color="green",shape="box"];571[label="True",fontsize=16,color="green",shape="box"];572[label="yu300",fontsize=16,color="green",shape="box"];573[label="yu40001",fontsize=16,color="green",shape="box"];574[label="yu301",fontsize=16,color="green",shape="box"];575[label="yu40000",fontsize=16,color="green",shape="box"];576[label="yu300",fontsize=16,color="green",shape="box"];577[label="yu40000",fontsize=16,color="green",shape="box"];578[label="yu300",fontsize=16,color="green",shape="box"];579[label="yu40000",fontsize=16,color="green",shape="box"];580[label="yu301",fontsize=16,color="green",shape="box"];581[label="yu40001",fontsize=16,color="green",shape="box"];582[label="yu301",fontsize=16,color="green",shape="box"];583[label="yu40001",fontsize=16,color="green",shape="box"];584[label="yu301",fontsize=16,color="green",shape="box"];585[label="yu40001",fontsize=16,color="green",shape="box"];586[label="yu301",fontsize=16,color="green",shape="box"];587[label="yu40001",fontsize=16,color="green",shape="box"];588[label="yu301",fontsize=16,color="green",shape="box"];589[label="yu40001",fontsize=16,color="green",shape="box"];590[label="yu301",fontsize=16,color="green",shape="box"];591[label="yu40001",fontsize=16,color="green",shape="box"];592[label="yu301",fontsize=16,color="green",shape="box"];593[label="yu40001",fontsize=16,color="green",shape="box"];594[label="yu301",fontsize=16,color="green",shape="box"];595[label="yu40001",fontsize=16,color="green",shape="box"];596[label="yu301",fontsize=16,color="green",shape="box"];597[label="yu40001",fontsize=16,color="green",shape="box"];598[label="yu301",fontsize=16,color="green",shape="box"];599[label="yu40001",fontsize=16,color="green",shape="box"];600[label="yu301",fontsize=16,color="green",shape="box"];601[label="yu40001",fontsize=16,color="green",shape="box"];602[label="yu301",fontsize=16,color="green",shape="box"];603[label="yu40001",fontsize=16,color="green",shape="box"];604[label="yu301",fontsize=16,color="green",shape="box"];605[label="yu40001",fontsize=16,color="green",shape="box"];606[label="yu301",fontsize=16,color="green",shape="box"];607[label="yu40001",fontsize=16,color="green",shape="box"];608[label="yu301",fontsize=16,color="green",shape="box"];609[label="yu40001",fontsize=16,color="green",shape="box"];610[label="yu301",fontsize=16,color="green",shape="box"];611[label="yu40001",fontsize=16,color="green",shape="box"];612[label="yu302",fontsize=16,color="green",shape="box"];613[label="yu40002",fontsize=16,color="green",shape="box"];614[label="yu302",fontsize=16,color="green",shape="box"];615[label="yu40002",fontsize=16,color="green",shape="box"];616[label="yu302",fontsize=16,color="green",shape="box"];617[label="yu40002",fontsize=16,color="green",shape="box"];618[label="yu302",fontsize=16,color="green",shape="box"];619[label="yu40002",fontsize=16,color="green",shape="box"];620[label="yu302",fontsize=16,color="green",shape="box"];621[label="yu40002",fontsize=16,color="green",shape="box"];622[label="yu302",fontsize=16,color="green",shape="box"];623[label="yu40002",fontsize=16,color="green",shape="box"];624[label="yu302",fontsize=16,color="green",shape="box"];625[label="yu40002",fontsize=16,color="green",shape="box"];626[label="yu302",fontsize=16,color="green",shape="box"];627[label="yu40002",fontsize=16,color="green",shape="box"];628[label="yu302",fontsize=16,color="green",shape="box"];629[label="yu40002",fontsize=16,color="green",shape="box"];630[label="yu302",fontsize=16,color="green",shape="box"];631[label="yu40002",fontsize=16,color="green",shape="box"];632[label="yu302",fontsize=16,color="green",shape="box"];633[label="yu40002",fontsize=16,color="green",shape="box"];634[label="yu302",fontsize=16,color="green",shape="box"];635[label="yu40002",fontsize=16,color="green",shape="box"];636[label="yu302",fontsize=16,color="green",shape="box"];637[label="yu40002",fontsize=16,color="green",shape="box"];638[label="yu302",fontsize=16,color="green",shape="box"];639[label="yu40002",fontsize=16,color="green",shape="box"];640 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yu40001",fontsize=16,color="burlywood",shape="box"];945[label="yu40001/Pos yu400010",fontsize=10,color="white",style="solid",shape="box"];645 -> 945[label="",style="solid", color="burlywood", weight=9]; 945 -> 654[label="",style="solid", color="burlywood", weight=3]; 946[label="yu40001/Neg yu400010",fontsize=10,color="white",style="solid",shape="box"];645 -> 946[label="",style="solid", color="burlywood", weight=9]; 946 -> 655[label="",style="solid", color="burlywood", weight=3]; 646[label="yu3000",fontsize=16,color="green",shape="box"];647[label="yu400000",fontsize=16,color="green",shape="box"];648[label="yu3000",fontsize=16,color="green",shape="box"];649[label="yu400000",fontsize=16,color="green",shape="box"];650[label="yu3000",fontsize=16,color="green",shape="box"];651[label="yu400000",fontsize=16,color="green",shape="box"];652[label="primMulInt (Pos yu3000) (Pos yu400010)",fontsize=16,color="black",shape="box"];652 -> 656[label="",style="solid", color="black", weight=3]; 653[label="primMulInt (Pos yu3000) (Neg yu400010)",fontsize=16,color="black",shape="box"];653 -> 657[label="",style="solid", color="black", weight=3]; 654[label="primMulInt (Neg yu3000) (Pos yu400010)",fontsize=16,color="black",shape="box"];654 -> 658[label="",style="solid", color="black", weight=3]; 655[label="primMulInt (Neg yu3000) (Neg yu400010)",fontsize=16,color="black",shape="box"];655 -> 659[label="",style="solid", color="black", weight=3]; 656[label="Pos (primMulNat yu3000 yu400010)",fontsize=16,color="green",shape="box"];656 -> 660[label="",style="dashed", color="green", weight=3]; 657[label="Neg (primMulNat yu3000 yu400010)",fontsize=16,color="green",shape="box"];657 -> 661[label="",style="dashed", color="green", weight=3]; 658[label="Neg (primMulNat yu3000 yu400010)",fontsize=16,color="green",shape="box"];658 -> 662[label="",style="dashed", color="green", weight=3]; 659[label="Pos (primMulNat yu3000 yu400010)",fontsize=16,color="green",shape="box"];659 -> 663[label="",style="dashed", color="green", weight=3]; 660[label="primMulNat yu3000 yu400010",fontsize=16,color="burlywood",shape="triangle"];947[label="yu3000/Succ yu30000",fontsize=10,color="white",style="solid",shape="box"];660 -> 947[label="",style="solid", color="burlywood", weight=9]; 947 -> 664[label="",style="solid", color="burlywood", weight=3]; 948[label="yu3000/Zero",fontsize=10,color="white",style="solid",shape="box"];660 -> 948[label="",style="solid", color="burlywood", weight=9]; 948 -> 665[label="",style="solid", color="burlywood", weight=3]; 661 -> 660[label="",style="dashed", color="red", weight=0]; 661[label="primMulNat yu3000 yu400010",fontsize=16,color="magenta"];661 -> 666[label="",style="dashed", color="magenta", weight=3]; 662 -> 660[label="",style="dashed", color="red", weight=0]; 662[label="primMulNat yu3000 yu400010",fontsize=16,color="magenta"];662 -> 667[label="",style="dashed", color="magenta", weight=3]; 663 -> 660[label="",style="dashed", color="red", weight=0]; 663[label="primMulNat yu3000 yu400010",fontsize=16,color="magenta"];663 -> 668[label="",style="dashed", color="magenta", weight=3]; 663 -> 669[label="",style="dashed", color="magenta", weight=3]; 664[label="primMulNat (Succ yu30000) yu400010",fontsize=16,color="burlywood",shape="box"];949[label="yu400010/Succ yu4000100",fontsize=10,color="white",style="solid",shape="box"];664 -> 949[label="",style="solid", color="burlywood", weight=9]; 949 -> 670[label="",style="solid", color="burlywood", weight=3]; 950[label="yu400010/Zero",fontsize=10,color="white",style="solid",shape="box"];664 -> 950[label="",style="solid", color="burlywood", weight=9]; 950 -> 671[label="",style="solid", color="burlywood", weight=3]; 665[label="primMulNat Zero yu400010",fontsize=16,color="burlywood",shape="box"];951[label="yu400010/Succ yu4000100",fontsize=10,color="white",style="solid",shape="box"];665 -> 951[label="",style="solid", color="burlywood", weight=9]; 951 -> 672[label="",style="solid", color="burlywood", weight=3]; 952[label="yu400010/Zero",fontsize=10,color="white",style="solid",shape="box"];665 -> 952[label="",style="solid", color="burlywood", weight=9]; 952 -> 673[label="",style="solid", color="burlywood", weight=3]; 666[label="yu400010",fontsize=16,color="green",shape="box"];667[label="yu3000",fontsize=16,color="green",shape="box"];668[label="yu400010",fontsize=16,color="green",shape="box"];669[label="yu3000",fontsize=16,color="green",shape="box"];670[label="primMulNat (Succ yu30000) (Succ yu4000100)",fontsize=16,color="black",shape="box"];670 -> 674[label="",style="solid", color="black", weight=3]; 671[label="primMulNat (Succ yu30000) Zero",fontsize=16,color="black",shape="box"];671 -> 675[label="",style="solid", color="black", weight=3]; 672[label="primMulNat Zero (Succ yu4000100)",fontsize=16,color="black",shape="box"];672 -> 676[label="",style="solid", color="black", weight=3]; 673[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];673 -> 677[label="",style="solid", color="black", weight=3]; 674 -> 678[label="",style="dashed", color="red", weight=0]; 674[label="primPlusNat (primMulNat yu30000 (Succ yu4000100)) (Succ yu4000100)",fontsize=16,color="magenta"];674 -> 679[label="",style="dashed", color="magenta", weight=3]; 675[label="Zero",fontsize=16,color="green",shape="box"];676[label="Zero",fontsize=16,color="green",shape="box"];677[label="Zero",fontsize=16,color="green",shape="box"];679 -> 660[label="",style="dashed", color="red", weight=0]; 679[label="primMulNat yu30000 (Succ yu4000100)",fontsize=16,color="magenta"];679 -> 680[label="",style="dashed", color="magenta", weight=3]; 679 -> 681[label="",style="dashed", color="magenta", weight=3]; 678[label="primPlusNat yu33 (Succ yu4000100)",fontsize=16,color="burlywood",shape="triangle"];953[label="yu33/Succ yu330",fontsize=10,color="white",style="solid",shape="box"];678 -> 953[label="",style="solid", color="burlywood", weight=9]; 953 -> 682[label="",style="solid", color="burlywood", weight=3]; 954[label="yu33/Zero",fontsize=10,color="white",style="solid",shape="box"];678 -> 954[label="",style="solid", color="burlywood", weight=9]; 954 -> 683[label="",style="solid", color="burlywood", weight=3]; 680[label="Succ yu4000100",fontsize=16,color="green",shape="box"];681[label="yu30000",fontsize=16,color="green",shape="box"];682[label="primPlusNat (Succ yu330) (Succ yu4000100)",fontsize=16,color="black",shape="box"];682 -> 684[label="",style="solid", color="black", weight=3]; 683[label="primPlusNat Zero (Succ yu4000100)",fontsize=16,color="black",shape="box"];683 -> 685[label="",style="solid", color="black", weight=3]; 684[label="Succ (Succ (primPlusNat yu330 yu4000100))",fontsize=16,color="green",shape="box"];684 -> 686[label="",style="dashed", color="green", weight=3]; 685[label="Succ yu4000100",fontsize=16,color="green",shape="box"];686[label="primPlusNat yu330 yu4000100",fontsize=16,color="burlywood",shape="triangle"];955[label="yu330/Succ yu3300",fontsize=10,color="white",style="solid",shape="box"];686 -> 955[label="",style="solid", color="burlywood", weight=9]; 955 -> 687[label="",style="solid", color="burlywood", weight=3]; 956[label="yu330/Zero",fontsize=10,color="white",style="solid",shape="box"];686 -> 956[label="",style="solid", color="burlywood", weight=9]; 956 -> 688[label="",style="solid", color="burlywood", weight=3]; 687[label="primPlusNat (Succ yu3300) yu4000100",fontsize=16,color="burlywood",shape="box"];957[label="yu4000100/Succ yu40001000",fontsize=10,color="white",style="solid",shape="box"];687 -> 957[label="",style="solid", color="burlywood", weight=9]; 957 -> 689[label="",style="solid", color="burlywood", weight=3]; 958[label="yu4000100/Zero",fontsize=10,color="white",style="solid",shape="box"];687 -> 958[label="",style="solid", color="burlywood", weight=9]; 958 -> 690[label="",style="solid", color="burlywood", weight=3]; 688[label="primPlusNat Zero yu4000100",fontsize=16,color="burlywood",shape="box"];959[label="yu4000100/Succ yu40001000",fontsize=10,color="white",style="solid",shape="box"];688 -> 959[label="",style="solid", color="burlywood", weight=9]; 959 -> 691[label="",style="solid", color="burlywood", weight=3]; 960[label="yu4000100/Zero",fontsize=10,color="white",style="solid",shape="box"];688 -> 960[label="",style="solid", color="burlywood", weight=9]; 960 -> 692[label="",style="solid", color="burlywood", weight=3]; 689[label="primPlusNat (Succ yu3300) (Succ yu40001000)",fontsize=16,color="black",shape="box"];689 -> 693[label="",style="solid", color="black", weight=3]; 690[label="primPlusNat (Succ yu3300) Zero",fontsize=16,color="black",shape="box"];690 -> 694[label="",style="solid", color="black", weight=3]; 691[label="primPlusNat Zero (Succ yu40001000)",fontsize=16,color="black",shape="box"];691 -> 695[label="",style="solid", color="black", weight=3]; 692[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];692 -> 696[label="",style="solid", color="black", weight=3]; 693[label="Succ (Succ (primPlusNat yu3300 yu40001000))",fontsize=16,color="green",shape="box"];693 -> 697[label="",style="dashed", color="green", weight=3]; 694[label="Succ yu3300",fontsize=16,color="green",shape="box"];695[label="Succ yu40001000",fontsize=16,color="green",shape="box"];696[label="Zero",fontsize=16,color="green",shape="box"];697 -> 686[label="",style="dashed", color="red", weight=0]; 697[label="primPlusNat yu3300 yu40001000",fontsize=16,color="magenta"];697 -> 698[label="",style="dashed", color="magenta", weight=3]; 697 -> 699[label="",style="dashed", color="magenta", weight=3]; 698[label="yu40001000",fontsize=16,color="green",shape="box"];699[label="yu3300",fontsize=16,color="green",shape="box"];} ---------------------------------------- (6) Complex Obligation (AND) ---------------------------------------- (7) Obligation: Q DP problem: The TRS P consists of the following rules: new_esEs(Left(yu300), Left(yu40000), app(app(app(ty_@3, bc), bd), be), bb) -> new_esEs0(yu300, yu40000, bc, bd, be) new_esEs(Right(yu300), Right(yu40000), cb, app(app(app(ty_@3, ce), cf), cg)) -> new_esEs0(yu300, yu40000, ce, cf, cg) new_esEs1(:(yu300, yu301), :(yu40000, yu40001), app(ty_Maybe, bad)) -> new_esEs3(yu300, yu40000, bad) new_esEs(Left(yu300), Left(yu40000), app(ty_Maybe, ca), bb) -> new_esEs3(yu300, yu40000, ca) new_esEs3(Just(yu300), Just(yu40000), app(app(app(ty_@3, bdd), bde), bdf)) -> new_esEs0(yu300, yu40000, bdd, bde, bdf) new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(ty_Either, de), df), dg, dh) -> new_esEs(yu300, yu40000, de, df) new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), eh, app(app(app(ty_@3, fc), fd), ff), dh) -> new_esEs0(yu301, yu40001, fc, fd, ff) new_esEs3(Just(yu300), Just(yu40000), app(app(ty_Either, bdb), bdc)) -> new_esEs(yu300, yu40000, bdb, bdc) new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), eh, app(ty_Maybe, gb), dh) -> new_esEs3(yu301, yu40001, gb) new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), bbh, app(ty_Maybe, bda)) -> new_esEs3(yu301, yu40001, bda) new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), bbh, app(app(ty_@2, bcg), bch)) -> new_esEs2(yu301, yu40001, bcg, bch) new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), eh, dg, app(ty_Maybe, hc)) -> new_esEs3(yu302, yu40002, hc) new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), app(ty_Maybe, bbg), bah) -> new_esEs3(yu300, yu40000, bbg) new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), app(app(ty_Either, baf), bag), bah) -> new_esEs(yu300, yu40000, baf, bag) new_esEs3(Just(yu300), Just(yu40000), app(ty_Maybe, beb)) -> new_esEs3(yu300, yu40000, beb) new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), eh, dg, app(app(ty_Either, gc), gd)) -> new_esEs(yu302, yu40002, gc, gd) new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), eh, dg, app(app(ty_@2, ha), hb)) -> new_esEs2(yu302, yu40002, ha, hb) new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(ty_Maybe, eg), dg, dh) -> new_esEs3(yu300, yu40000, eg) new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), eh, app(app(ty_@2, fh), ga), dh) -> new_esEs2(yu301, yu40001, fh, ga) new_esEs(Right(yu300), Right(yu40000), cb, app(app(ty_@2, db), dc)) -> new_esEs2(yu300, yu40000, db, dc) new_esEs(Left(yu300), Left(yu40000), app(ty_[], bf), bb) -> new_esEs1(yu300, yu40000, bf) new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), app(app(ty_@2, bbe), bbf), bah) -> new_esEs2(yu300, yu40000, bbe, bbf) new_esEs(Left(yu300), Left(yu40000), app(app(ty_@2, bg), bh), bb) -> new_esEs2(yu300, yu40000, bg, bh) new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), eh, dg, app(app(app(ty_@3, ge), gf), gg)) -> new_esEs0(yu302, yu40002, ge, gf, gg) new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), bbh, app(ty_[], bcf)) -> new_esEs1(yu301, yu40001, bcf) new_esEs3(Just(yu300), Just(yu40000), app(ty_[], bdg)) -> new_esEs1(yu300, yu40000, bdg) new_esEs(Right(yu300), Right(yu40000), cb, app(app(ty_Either, cc), cd)) -> new_esEs(yu300, yu40000, cc, cd) new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), eh, app(app(ty_Either, fa), fb), dh) -> new_esEs(yu301, yu40001, fa, fb) new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), app(ty_[], bbd), bah) -> new_esEs1(yu300, yu40000, bbd) new_esEs3(Just(yu300), Just(yu40000), app(app(ty_@2, bdh), bea)) -> new_esEs2(yu300, yu40000, bdh, bea) new_esEs1(:(yu300, yu301), :(yu40000, yu40001), app(app(ty_@2, bab), bac)) -> new_esEs2(yu300, yu40000, bab, bac) new_esEs1(:(yu300, yu301), :(yu40000, yu40001), app(app(app(ty_@3, hf), hg), hh)) -> new_esEs0(yu300, yu40000, hf, hg, hh) new_esEs1(:(yu300, yu301), :(yu40000, yu40001), bae) -> new_esEs1(yu301, yu40001, bae) new_esEs(Left(yu300), Left(yu40000), app(app(ty_Either, h), ba), bb) -> new_esEs(yu300, yu40000, h, ba) new_esEs(Right(yu300), Right(yu40000), cb, app(ty_[], da)) -> new_esEs1(yu300, yu40000, da) new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(ty_@2, ee), ef), dg, dh) -> new_esEs2(yu300, yu40000, ee, ef) new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), eh, app(ty_[], fg), dh) -> new_esEs1(yu301, yu40001, fg) new_esEs1(:(yu300, yu301), :(yu40000, yu40001), app(ty_[], baa)) -> new_esEs1(yu300, yu40000, baa) new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), app(app(app(ty_@3, bba), bbb), bbc), bah) -> new_esEs0(yu300, yu40000, bba, bbb, bbc) new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), bbh, app(app(ty_Either, bca), bcb)) -> new_esEs(yu301, yu40001, bca, bcb) new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(ty_[], ed), dg, dh) -> new_esEs1(yu300, yu40000, ed) new_esEs1(:(yu300, yu301), :(yu40000, yu40001), app(app(ty_Either, hd), he)) -> new_esEs(yu300, yu40000, hd, he) new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(app(ty_@3, ea), eb), ec), dg, dh) -> new_esEs0(yu300, yu40000, ea, eb, ec) new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), eh, dg, app(ty_[], gh)) -> new_esEs1(yu302, yu40002, gh) new_esEs(Right(yu300), Right(yu40000), cb, app(ty_Maybe, dd)) -> new_esEs3(yu300, yu40000, dd) new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), bbh, app(app(app(ty_@3, bcc), bcd), bce)) -> new_esEs0(yu301, yu40001, bcc, bcd, bce) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (8) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_esEs3(Just(yu300), Just(yu40000), app(app(ty_Either, bdb), bdc)) -> new_esEs(yu300, yu40000, bdb, bdc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Just(yu300), Just(yu40000), app(ty_[], bdg)) -> new_esEs1(yu300, yu40000, bdg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Just(yu300), Just(yu40000), app(ty_Maybe, beb)) -> new_esEs3(yu300, yu40000, beb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Just(yu300), Just(yu40000), app(app(app(ty_@3, bdd), bde), bdf)) -> new_esEs0(yu300, yu40000, bdd, bde, bdf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(Just(yu300), Just(yu40000), app(app(ty_@2, bdh), bea)) -> new_esEs2(yu300, yu40000, bdh, bea) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(:(yu300, yu301), :(yu40000, yu40001), app(app(ty_Either, hd), he)) -> new_esEs(yu300, yu40000, hd, he) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(:(yu300, yu301), :(yu40000, yu40001), app(ty_Maybe, bad)) -> new_esEs3(yu300, yu40000, bad) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(:(yu300, yu301), :(yu40000, yu40001), app(app(app(ty_@3, hf), hg), hh)) -> new_esEs0(yu300, yu40000, hf, hg, hh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(:(yu300, yu301), :(yu40000, yu40001), app(app(ty_@2, bab), bac)) -> new_esEs2(yu300, yu40000, bab, bac) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(ty_Either, de), df), dg, dh) -> new_esEs(yu300, yu40000, de, df) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), eh, dg, app(app(ty_Either, gc), gd)) -> new_esEs(yu302, yu40002, gc, gd) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), eh, app(app(ty_Either, fa), fb), dh) -> new_esEs(yu301, yu40001, fa, fb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), eh, app(ty_[], fg), dh) -> new_esEs1(yu301, yu40001, fg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(ty_[], ed), dg, dh) -> new_esEs1(yu300, yu40000, ed) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), eh, dg, app(ty_[], gh)) -> new_esEs1(yu302, yu40002, gh) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), eh, app(ty_Maybe, gb), dh) -> new_esEs3(yu301, yu40001, gb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), eh, dg, app(ty_Maybe, hc)) -> new_esEs3(yu302, yu40002, hc) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(ty_Maybe, eg), dg, dh) -> new_esEs3(yu300, yu40000, eg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), eh, app(app(app(ty_@3, fc), fd), ff), dh) -> new_esEs0(yu301, yu40001, fc, fd, ff) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), eh, dg, app(app(app(ty_@3, ge), gf), gg)) -> new_esEs0(yu302, yu40002, ge, gf, gg) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(app(ty_@3, ea), eb), ec), dg, dh) -> new_esEs0(yu300, yu40000, ea, eb, ec) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), eh, dg, app(app(ty_@2, ha), hb)) -> new_esEs2(yu302, yu40002, ha, hb) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), eh, app(app(ty_@2, fh), ga), dh) -> new_esEs2(yu301, yu40001, fh, ga) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(ty_@2, ee), ef), dg, dh) -> new_esEs2(yu300, yu40000, ee, ef) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Right(yu300), Right(yu40000), cb, app(app(ty_Either, cc), cd)) -> new_esEs(yu300, yu40000, cc, cd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(Left(yu300), Left(yu40000), app(app(ty_Either, h), ba), bb) -> new_esEs(yu300, yu40000, h, ba) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), app(app(ty_Either, baf), bag), bah) -> new_esEs(yu300, yu40000, baf, bag) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), bbh, app(app(ty_Either, bca), bcb)) -> new_esEs(yu301, yu40001, bca, bcb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(Left(yu300), Left(yu40000), app(ty_[], bf), bb) -> new_esEs1(yu300, yu40000, bf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Right(yu300), Right(yu40000), cb, app(ty_[], da)) -> new_esEs1(yu300, yu40000, da) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), bbh, app(ty_[], bcf)) -> new_esEs1(yu301, yu40001, bcf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), app(ty_[], bbd), bah) -> new_esEs1(yu300, yu40000, bbd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(:(yu300, yu301), :(yu40000, yu40001), bae) -> new_esEs1(yu301, yu40001, bae) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs1(:(yu300, yu301), :(yu40000, yu40001), app(ty_[], baa)) -> new_esEs1(yu300, yu40000, baa) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Left(yu300), Left(yu40000), app(ty_Maybe, ca), bb) -> new_esEs3(yu300, yu40000, ca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Right(yu300), Right(yu40000), cb, app(ty_Maybe, dd)) -> new_esEs3(yu300, yu40000, dd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), bbh, app(ty_Maybe, bda)) -> new_esEs3(yu301, yu40001, bda) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), app(ty_Maybe, bbg), bah) -> new_esEs3(yu300, yu40000, bbg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Left(yu300), Left(yu40000), app(app(app(ty_@3, bc), bd), be), bb) -> new_esEs0(yu300, yu40000, bc, bd, be) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(Right(yu300), Right(yu40000), cb, app(app(app(ty_@3, ce), cf), cg)) -> new_esEs0(yu300, yu40000, ce, cf, cg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs(Right(yu300), Right(yu40000), cb, app(app(ty_@2, db), dc)) -> new_esEs2(yu300, yu40000, db, dc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(Left(yu300), Left(yu40000), app(app(ty_@2, bg), bh), bb) -> new_esEs2(yu300, yu40000, bg, bh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), app(app(app(ty_@3, bba), bbb), bbc), bah) -> new_esEs0(yu300, yu40000, bba, bbb, bbc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), bbh, app(app(app(ty_@3, bcc), bcd), bce)) -> new_esEs0(yu301, yu40001, bcc, bcd, bce) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), bbh, app(app(ty_@2, bcg), bch)) -> new_esEs2(yu301, yu40001, bcg, bch) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), app(app(ty_@2, bbe), bbf), bah) -> new_esEs2(yu300, yu40000, bbe, bbf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 ---------------------------------------- (9) YES ---------------------------------------- (10) Obligation: Q DP problem: The TRS P consists of the following rules: new_lookup1(yu11, yu12, yu13, yu14, False, bb, bc) -> new_lookup(Just(yu11), yu14, bb, bc) new_lookup(Nothing, :(@2(Just(yu4000), yu401), yu41), h, ba) -> new_lookup(Nothing, yu41, h, ba) new_lookup(Just(yu30), :(@2(Just(yu4000), yu401), yu41), h, ba) -> new_lookup1(yu30, yu4000, yu401, yu41, new_esEs4(yu30, yu4000, ba), h, ba) new_lookup(Just(yu30), :(@2(Nothing, yu401), yu41), h, ba) -> new_lookup(Just(yu30), yu41, h, ba) The TRS R consists of the following rules: new_esEs4(yu30, yu4000, ty_Int) -> new_esEs17(yu30, yu4000) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_primPlusNat0(Zero, Zero) -> Zero new_esEs8(yu301, yu40001, ty_Float) -> new_esEs18(yu301, yu40001) new_esEs22(yu301, yu40001, ty_Double) -> new_esEs14(yu301, yu40001) new_esEs12(Char(yu300), Char(yu40000)) -> new_primEqNat0(yu300, yu40000) new_esEs19(Just(yu300), Just(yu40000), app(app(ty_Either, beg), beh)) -> new_esEs9(yu300, yu40000, beg, beh) new_esEs23(yu302, yu40002, app(app(ty_@2, baa), bab)) -> new_esEs6(yu302, yu40002, baa, bab) new_esEs8(yu301, yu40001, ty_Char) -> new_esEs12(yu301, yu40001) new_esEs4(yu30, yu4000, app(ty_[], bdc)) -> new_esEs13(yu30, yu4000, bdc) new_esEs23(yu302, yu40002, ty_Int) -> new_esEs17(yu302, yu40002) new_esEs24(yu300, yu40000, app(ty_Maybe, bed)) -> new_esEs19(yu300, yu40000, bed) new_esEs23(yu302, yu40002, app(ty_[], hh)) -> new_esEs13(yu302, yu40002, hh) new_esEs5(True, True) -> True new_esEs9(Right(yu300), Right(yu40000), bbh, ty_@0) -> new_esEs10(yu300, yu40000) new_esEs25(yu300, yu40000, ty_Int) -> new_esEs17(yu300, yu40000) new_esEs4(yu30, yu4000, app(app(ty_@2, bd), be)) -> new_esEs6(yu30, yu4000, bd, be) new_esEs19(Just(yu300), Just(yu40000), app(ty_[], bfd)) -> new_esEs13(yu300, yu40000, bfd) new_esEs22(yu301, yu40001, ty_Integer) -> new_esEs15(yu301, yu40001) new_esEs21(yu300, yu40000, app(ty_Ratio, fh)) -> new_esEs20(yu300, yu40000, fh) new_esEs24(yu300, yu40000, ty_Double) -> new_esEs14(yu300, yu40000) new_esEs19(Nothing, Just(yu40000), bef) -> False new_esEs19(Just(yu300), Nothing, bef) -> False new_esEs19(Just(yu300), Just(yu40000), ty_Int) -> new_esEs17(yu300, yu40000) new_esEs21(yu300, yu40000, app(app(ty_@2, fd), ff)) -> new_esEs6(yu300, yu40000, fd, ff) new_esEs19(Nothing, Nothing, bef) -> True new_esEs16(GT, GT) -> True new_esEs7(yu300, yu40000, app(app(app(ty_@3, bh), ca), cb)) -> new_esEs11(yu300, yu40000, bh, ca, cb) new_primMulNat0(Succ(yu30000), Succ(yu4000100)) -> new_primPlusNat1(new_primMulNat0(yu30000, Succ(yu4000100)), yu4000100) new_esEs9(Left(yu300), Left(yu40000), app(app(ty_Either, bae), baf), bag) -> new_esEs9(yu300, yu40000, bae, baf) new_esEs14(Double(yu300, yu301), Double(yu40000, yu40001)) -> new_esEs17(new_sr(yu300, yu40001), new_sr(yu301, yu40000)) new_esEs8(yu301, yu40001, ty_Integer) -> new_esEs15(yu301, yu40001) new_esEs15(Integer(yu300), Integer(yu40000)) -> new_primEqInt(yu300, yu40000) new_esEs9(Left(yu300), Left(yu40000), app(ty_Maybe, bbf), bag) -> new_esEs19(yu300, yu40000, bbf) new_esEs8(yu301, yu40001, app(app(ty_Either, da), db)) -> new_esEs9(yu301, yu40001, da, db) new_asAs(True, yu32) -> yu32 new_esEs21(yu300, yu40000, ty_@0) -> new_esEs10(yu300, yu40000) new_esEs21(yu300, yu40000, app(app(app(ty_@3, eh), fa), fb)) -> new_esEs11(yu300, yu40000, eh, fa, fb) new_esEs21(yu300, yu40000, app(ty_[], fc)) -> new_esEs13(yu300, yu40000, fc) new_primEqInt(Pos(Succ(yu3000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(yu400000))) -> False new_esEs22(yu301, yu40001, app(ty_Maybe, ha)) -> new_esEs19(yu301, yu40001, ha) new_esEs19(Just(yu300), Just(yu40000), app(app(ty_@2, bfe), bff)) -> new_esEs6(yu300, yu40000, bfe, bff) new_esEs21(yu300, yu40000, ty_Int) -> new_esEs17(yu300, yu40000) new_esEs19(Just(yu300), Just(yu40000), ty_Char) -> new_esEs12(yu300, yu40000) new_esEs23(yu302, yu40002, app(ty_Ratio, bad)) -> new_esEs20(yu302, yu40002, bad) new_esEs24(yu300, yu40000, ty_@0) -> new_esEs10(yu300, yu40000) new_esEs19(Just(yu300), Just(yu40000), app(ty_Ratio, bfh)) -> new_esEs20(yu300, yu40000, bfh) new_esEs4(yu30, yu4000, ty_Float) -> new_esEs18(yu30, yu4000) new_esEs7(yu300, yu40000, ty_Bool) -> new_esEs5(yu300, yu40000) new_esEs19(Just(yu300), Just(yu40000), ty_Ordering) -> new_esEs16(yu300, yu40000) new_esEs24(yu300, yu40000, ty_Integer) -> new_esEs15(yu300, yu40000) new_esEs9(Left(yu300), Left(yu40000), ty_Bool, bag) -> new_esEs5(yu300, yu40000) new_primEqNat0(Succ(yu3000), Succ(yu400000)) -> new_primEqNat0(yu3000, yu400000) new_esEs9(Right(yu300), Right(yu40000), bbh, app(ty_Maybe, bda)) -> new_esEs19(yu300, yu40000, bda) new_esEs22(yu301, yu40001, ty_Float) -> new_esEs18(yu301, yu40001) new_esEs6(@2(yu300, yu301), @2(yu40000, yu40001), bd, be) -> new_asAs(new_esEs7(yu300, yu40000, bd), new_esEs8(yu301, yu40001, be)) new_esEs16(EQ, GT) -> False new_esEs16(GT, EQ) -> False new_esEs8(yu301, yu40001, ty_Ordering) -> new_esEs16(yu301, yu40001) new_esEs24(yu300, yu40000, ty_Ordering) -> new_esEs16(yu300, yu40000) new_esEs9(Right(yu300), Right(yu40000), bbh, ty_Int) -> new_esEs17(yu300, yu40000) new_esEs4(yu30, yu4000, ty_Char) -> new_esEs12(yu30, yu4000) new_esEs25(yu300, yu40000, ty_Integer) -> new_esEs15(yu300, yu40000) new_primMulNat0(Zero, Zero) -> Zero new_esEs23(yu302, yu40002, app(app(app(ty_@3, he), hf), hg)) -> new_esEs11(yu302, yu40002, he, hf, hg) new_esEs23(yu302, yu40002, ty_@0) -> new_esEs10(yu302, yu40002) new_esEs8(yu301, yu40001, ty_Double) -> new_esEs14(yu301, yu40001) new_esEs8(yu301, yu40001, app(app(ty_@2, dg), dh)) -> new_esEs6(yu301, yu40001, dg, dh) new_esEs23(yu302, yu40002, ty_Char) -> new_esEs12(yu302, yu40002) new_esEs26(yu301, yu40001, ty_Integer) -> new_esEs15(yu301, yu40001) new_esEs18(Float(yu300, yu301), Float(yu40000, yu40001)) -> new_esEs17(new_sr(yu300, yu40001), new_sr(yu301, yu40000)) new_esEs4(yu30, yu4000, app(app(app(ty_@3, ec), ed), ee)) -> new_esEs11(yu30, yu4000, ec, ed, ee) new_primEqNat0(Succ(yu3000), Zero) -> False new_primEqNat0(Zero, Succ(yu400000)) -> False new_esEs22(yu301, yu40001, ty_@0) -> new_esEs10(yu301, yu40001) new_esEs22(yu301, yu40001, ty_Char) -> new_esEs12(yu301, yu40001) new_esEs13([], [], bdc) -> True new_esEs7(yu300, yu40000, ty_Double) -> new_esEs14(yu300, yu40000) new_esEs9(Right(yu300), Right(yu40000), bbh, ty_Bool) -> new_esEs5(yu300, yu40000) new_esEs9(Left(yu300), Right(yu40000), bbh, bag) -> False new_esEs9(Right(yu300), Left(yu40000), bbh, bag) -> False new_esEs7(yu300, yu40000, app(ty_Ratio, cg)) -> new_esEs20(yu300, yu40000, cg) new_esEs22(yu301, yu40001, app(app(ty_Either, ga), gb)) -> new_esEs9(yu301, yu40001, ga, gb) new_esEs16(LT, EQ) -> False new_esEs16(EQ, LT) -> False new_esEs23(yu302, yu40002, ty_Bool) -> new_esEs5(yu302, yu40002) new_esEs24(yu300, yu40000, app(ty_Ratio, bee)) -> new_esEs20(yu300, yu40000, bee) new_esEs9(Left(yu300), Left(yu40000), app(app(ty_@2, bbd), bbe), bag) -> new_esEs6(yu300, yu40000, bbd, bbe) new_esEs24(yu300, yu40000, ty_Bool) -> new_esEs5(yu300, yu40000) new_primEqInt(Neg(Succ(yu3000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(yu400000))) -> False new_esEs21(yu300, yu40000, ty_Float) -> new_esEs18(yu300, yu40000) new_primEqInt(Pos(Succ(yu3000)), Pos(Succ(yu400000))) -> new_primEqNat0(yu3000, yu400000) new_esEs7(yu300, yu40000, ty_Integer) -> new_esEs15(yu300, yu40000) new_esEs4(yu30, yu4000, app(app(ty_Either, bbh), bag)) -> new_esEs9(yu30, yu4000, bbh, bag) new_esEs23(yu302, yu40002, app(app(ty_Either, hc), hd)) -> new_esEs9(yu302, yu40002, hc, hd) new_esEs9(Left(yu300), Left(yu40000), app(ty_[], bbc), bag) -> new_esEs13(yu300, yu40000, bbc) new_esEs7(yu300, yu40000, ty_Ordering) -> new_esEs16(yu300, yu40000) new_esEs9(Left(yu300), Left(yu40000), ty_Char, bag) -> new_esEs12(yu300, yu40000) new_sr(Pos(yu3000), Neg(yu400010)) -> Neg(new_primMulNat0(yu3000, yu400010)) new_sr(Neg(yu3000), Pos(yu400010)) -> Neg(new_primMulNat0(yu3000, yu400010)) new_esEs4(yu30, yu4000, ty_@0) -> new_esEs10(yu30, yu4000) new_esEs13(:(yu300, yu301), :(yu40000, yu40001), bdc) -> new_asAs(new_esEs24(yu300, yu40000, bdc), new_esEs13(yu301, yu40001, bdc)) new_primEqInt(Pos(Succ(yu3000)), Neg(yu40000)) -> False new_primEqInt(Neg(Succ(yu3000)), Pos(yu40000)) -> False new_esEs22(yu301, yu40001, app(app(app(ty_@3, gc), gd), ge)) -> new_esEs11(yu301, yu40001, gc, gd, ge) new_esEs9(Right(yu300), Right(yu40000), bbh, app(app(ty_Either, bca), bcb)) -> new_esEs9(yu300, yu40000, bca, bcb) new_esEs9(Left(yu300), Left(yu40000), ty_Int, bag) -> new_esEs17(yu300, yu40000) new_esEs23(yu302, yu40002, app(ty_Maybe, bac)) -> new_esEs19(yu302, yu40002, bac) new_esEs16(EQ, EQ) -> True new_esEs9(Left(yu300), Left(yu40000), app(app(app(ty_@3, bah), bba), bbb), bag) -> new_esEs11(yu300, yu40000, bah, bba, bbb) new_esEs9(Left(yu300), Left(yu40000), ty_@0, bag) -> new_esEs10(yu300, yu40000) new_esEs24(yu300, yu40000, app(ty_[], bea)) -> new_esEs13(yu300, yu40000, bea) new_esEs9(Right(yu300), Right(yu40000), bbh, ty_Ordering) -> new_esEs16(yu300, yu40000) new_esEs4(yu30, yu4000, app(ty_Maybe, bef)) -> new_esEs19(yu30, yu4000, bef) new_esEs8(yu301, yu40001, ty_@0) -> new_esEs10(yu301, yu40001) new_esEs22(yu301, yu40001, app(ty_Ratio, hb)) -> new_esEs20(yu301, yu40001, hb) new_esEs8(yu301, yu40001, app(app(app(ty_@3, dc), dd), de)) -> new_esEs11(yu301, yu40001, dc, dd, de) new_esEs9(Left(yu300), Left(yu40000), ty_Float, bag) -> new_esEs18(yu300, yu40000) new_esEs22(yu301, yu40001, app(app(ty_@2, gg), gh)) -> new_esEs6(yu301, yu40001, gg, gh) new_esEs19(Just(yu300), Just(yu40000), ty_Bool) -> new_esEs5(yu300, yu40000) new_esEs21(yu300, yu40000, ty_Integer) -> new_esEs15(yu300, yu40000) new_esEs7(yu300, yu40000, ty_Float) -> new_esEs18(yu300, yu40000) new_esEs23(yu302, yu40002, ty_Double) -> new_esEs14(yu302, yu40002) new_esEs9(Left(yu300), Left(yu40000), app(ty_Ratio, bbg), bag) -> new_esEs20(yu300, yu40000, bbg) new_sr(Neg(yu3000), Neg(yu400010)) -> Pos(new_primMulNat0(yu3000, yu400010)) new_esEs4(yu30, yu4000, ty_Double) -> new_esEs14(yu30, yu4000) new_esEs21(yu300, yu40000, ty_Double) -> new_esEs14(yu300, yu40000) new_primEqInt(Pos(Zero), Neg(Succ(yu400000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(yu400000))) -> False new_esEs9(Right(yu300), Right(yu40000), bbh, app(ty_[], bcf)) -> new_esEs13(yu300, yu40000, bcf) new_esEs19(Just(yu300), Just(yu40000), app(ty_Maybe, bfg)) -> new_esEs19(yu300, yu40000, bfg) new_esEs16(LT, LT) -> True new_esEs9(Right(yu300), Right(yu40000), bbh, ty_Char) -> new_esEs12(yu300, yu40000) new_esEs24(yu300, yu40000, app(app(ty_@2, beb), bec)) -> new_esEs6(yu300, yu40000, beb, bec) new_primPlusNat0(Succ(yu3300), Succ(yu40001000)) -> Succ(Succ(new_primPlusNat0(yu3300, yu40001000))) new_esEs22(yu301, yu40001, app(ty_[], gf)) -> new_esEs13(yu301, yu40001, gf) new_esEs22(yu301, yu40001, ty_Int) -> new_esEs17(yu301, yu40001) new_esEs10(@0, @0) -> True new_esEs5(False, True) -> False new_esEs5(True, False) -> False new_esEs21(yu300, yu40000, ty_Char) -> new_esEs12(yu300, yu40000) new_primEqInt(Neg(Succ(yu3000)), Neg(Succ(yu400000))) -> new_primEqNat0(yu3000, yu400000) new_esEs11(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ec, ed, ee) -> new_asAs(new_esEs21(yu300, yu40000, ec), new_asAs(new_esEs22(yu301, yu40001, ed), new_esEs23(yu302, yu40002, ee))) new_esEs20(:%(yu300, yu301), :%(yu40000, yu40001), bga) -> new_asAs(new_esEs25(yu300, yu40000, bga), new_esEs26(yu301, yu40001, bga)) new_esEs19(Just(yu300), Just(yu40000), app(app(app(ty_@3, bfa), bfb), bfc)) -> new_esEs11(yu300, yu40000, bfa, bfb, bfc) new_esEs9(Right(yu300), Right(yu40000), bbh, app(app(ty_@2, bcg), bch)) -> new_esEs6(yu300, yu40000, bcg, bch) new_esEs19(Just(yu300), Just(yu40000), ty_@0) -> new_esEs10(yu300, yu40000) new_esEs13(:(yu300, yu301), [], bdc) -> False new_esEs13([], :(yu40000, yu40001), bdc) -> False new_esEs24(yu300, yu40000, app(app(ty_Either, bdd), bde)) -> new_esEs9(yu300, yu40000, bdd, bde) new_esEs9(Right(yu300), Right(yu40000), bbh, app(app(app(ty_@3, bcc), bcd), bce)) -> new_esEs11(yu300, yu40000, bcc, bcd, bce) new_primMulNat0(Succ(yu30000), Zero) -> Zero new_primMulNat0(Zero, Succ(yu4000100)) -> Zero new_sr(Pos(yu3000), Pos(yu400010)) -> Pos(new_primMulNat0(yu3000, yu400010)) new_esEs24(yu300, yu40000, ty_Char) -> new_esEs12(yu300, yu40000) new_esEs21(yu300, yu40000, ty_Ordering) -> new_esEs16(yu300, yu40000) new_esEs4(yu30, yu4000, ty_Bool) -> new_esEs5(yu30, yu4000) new_primPlusNat1(Succ(yu330), yu4000100) -> Succ(Succ(new_primPlusNat0(yu330, yu4000100))) new_esEs24(yu300, yu40000, ty_Int) -> new_esEs17(yu300, yu40000) new_esEs21(yu300, yu40000, ty_Bool) -> new_esEs5(yu300, yu40000) new_primPlusNat0(Succ(yu3300), Zero) -> Succ(yu3300) new_primPlusNat0(Zero, Succ(yu40001000)) -> Succ(yu40001000) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_primPlusNat1(Zero, yu4000100) -> Succ(yu4000100) new_esEs21(yu300, yu40000, app(app(ty_Either, ef), eg)) -> new_esEs9(yu300, yu40000, ef, eg) new_esEs23(yu302, yu40002, ty_Float) -> new_esEs18(yu302, yu40002) new_esEs8(yu301, yu40001, ty_Int) -> new_esEs17(yu301, yu40001) new_esEs16(LT, GT) -> False new_esEs16(GT, LT) -> False new_esEs8(yu301, yu40001, app(ty_[], df)) -> new_esEs13(yu301, yu40001, df) new_esEs22(yu301, yu40001, ty_Bool) -> new_esEs5(yu301, yu40001) new_esEs8(yu301, yu40001, app(ty_Ratio, eb)) -> new_esEs20(yu301, yu40001, eb) new_esEs24(yu300, yu40000, app(app(app(ty_@3, bdf), bdg), bdh)) -> new_esEs11(yu300, yu40000, bdf, bdg, bdh) new_esEs23(yu302, yu40002, ty_Ordering) -> new_esEs16(yu302, yu40002) new_esEs24(yu300, yu40000, ty_Float) -> new_esEs18(yu300, yu40000) new_esEs17(yu30, yu4000) -> new_primEqInt(yu30, yu4000) new_esEs5(False, False) -> True new_esEs8(yu301, yu40001, app(ty_Maybe, ea)) -> new_esEs19(yu301, yu40001, ea) new_esEs4(yu30, yu4000, ty_Integer) -> new_esEs15(yu30, yu4000) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs7(yu300, yu40000, app(app(ty_@2, cd), ce)) -> new_esEs6(yu300, yu40000, cd, ce) new_esEs9(Left(yu300), Left(yu40000), ty_Double, bag) -> new_esEs14(yu300, yu40000) new_esEs19(Just(yu300), Just(yu40000), ty_Integer) -> new_esEs15(yu300, yu40000) new_esEs21(yu300, yu40000, app(ty_Maybe, fg)) -> new_esEs19(yu300, yu40000, fg) new_esEs26(yu301, yu40001, ty_Int) -> new_esEs17(yu301, yu40001) new_esEs23(yu302, yu40002, ty_Integer) -> new_esEs15(yu302, yu40002) new_primEqNat0(Zero, Zero) -> True new_esEs9(Left(yu300), Left(yu40000), ty_Integer, bag) -> new_esEs15(yu300, yu40000) new_esEs19(Just(yu300), Just(yu40000), ty_Double) -> new_esEs14(yu300, yu40000) new_esEs7(yu300, yu40000, app(ty_Maybe, cf)) -> new_esEs19(yu300, yu40000, cf) new_esEs9(Left(yu300), Left(yu40000), ty_Ordering, bag) -> new_esEs16(yu300, yu40000) new_esEs4(yu30, yu4000, app(ty_Ratio, bga)) -> new_esEs20(yu30, yu4000, bga) new_esEs22(yu301, yu40001, ty_Ordering) -> new_esEs16(yu301, yu40001) new_esEs9(Right(yu300), Right(yu40000), bbh, ty_Float) -> new_esEs18(yu300, yu40000) new_asAs(False, yu32) -> False new_esEs9(Right(yu300), Right(yu40000), bbh, ty_Integer) -> new_esEs15(yu300, yu40000) new_esEs9(Right(yu300), Right(yu40000), bbh, ty_Double) -> new_esEs14(yu300, yu40000) new_esEs7(yu300, yu40000, app(app(ty_Either, bf), bg)) -> new_esEs9(yu300, yu40000, bf, bg) new_esEs19(Just(yu300), Just(yu40000), ty_Float) -> new_esEs18(yu300, yu40000) new_esEs7(yu300, yu40000, ty_@0) -> new_esEs10(yu300, yu40000) new_esEs8(yu301, yu40001, ty_Bool) -> new_esEs5(yu301, yu40001) new_esEs7(yu300, yu40000, ty_Int) -> new_esEs17(yu300, yu40000) new_esEs7(yu300, yu40000, ty_Char) -> new_esEs12(yu300, yu40000) new_esEs7(yu300, yu40000, app(ty_[], cc)) -> new_esEs13(yu300, yu40000, cc) new_esEs9(Right(yu300), Right(yu40000), bbh, app(ty_Ratio, bdb)) -> new_esEs20(yu300, yu40000, bdb) new_esEs4(yu30, yu4000, ty_Ordering) -> new_esEs16(yu30, yu4000) The set Q consists of the following terms: new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_esEs24(x0, x1, app(ty_Ratio, x2)) new_esEs7(x0, x1, ty_@0) new_primPlusNat0(Succ(x0), Zero) new_esEs25(x0, x1, ty_Integer) new_esEs23(x0, x1, ty_Ordering) new_esEs24(x0, x1, ty_Integer) new_esEs9(Right(x0), Right(x1), x2, ty_Char) new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs22(x0, x1, ty_Float) new_primMulNat0(Zero, Zero) new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs9(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs4(x0, x1, ty_Ordering) new_esEs23(x0, x1, ty_Float) new_esEs19(Nothing, Just(x0), x1) new_esEs19(Just(x0), Just(x1), ty_Integer) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs21(x0, x1, ty_Integer) new_esEs13([], :(x0, x1), x2) new_esEs8(x0, x1, ty_Bool) new_esEs9(Left(x0), Left(x1), ty_@0, x2) new_esEs12(Char(x0), Char(x1)) new_esEs19(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_esEs20(:%(x0, x1), :%(x2, x3), x4) new_esEs15(Integer(x0), Integer(x1)) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_esEs16(EQ, EQ) new_esEs9(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs13(:(x0, x1), :(x2, x3), x4) new_esEs4(x0, x1, ty_Float) new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) new_esEs4(x0, x1, app(ty_[], x2)) new_esEs9(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_esEs8(x0, x1, app(app(ty_@2, x2), x3)) new_esEs7(x0, x1, ty_Bool) new_primEqInt(Neg(Zero), Neg(Zero)) new_esEs7(x0, x1, app(app(ty_Either, x2), x3)) new_primPlusNat0(Zero, Zero) new_esEs21(x0, x1, ty_Ordering) new_esEs9(Right(x0), Right(x1), x2, ty_Ordering) new_esEs9(Left(x0), Left(x1), ty_Bool, x2) new_esEs13([], [], x0) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs22(x0, x1, ty_Char) new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) new_esEs9(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs5(False, True) new_esEs5(True, False) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs8(x0, x1, ty_@0) new_esEs9(Left(x0), Left(x1), ty_Int, x2) new_esEs5(True, True) new_primPlusNat1(Zero, x0) new_esEs7(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs24(x0, x1, ty_Ordering) new_esEs19(Just(x0), Just(x1), ty_Ordering) new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs21(x0, x1, app(ty_[], x2)) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs8(x0, x1, ty_Float) new_esEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_sr(Pos(x0), Neg(x1)) new_sr(Neg(x0), Pos(x1)) new_esEs9(Left(x0), Left(x1), ty_Char, x2) new_esEs9(Right(x0), Right(x1), x2, ty_Integer) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primPlusNat0(Succ(x0), Succ(x1)) new_esEs22(x0, x1, ty_Double) new_esEs24(x0, x1, app(ty_Maybe, x2)) new_esEs9(Left(x0), Left(x1), ty_Double, x2) new_esEs26(x0, x1, ty_Integer) new_esEs22(x0, x1, ty_Int) new_esEs6(@2(x0, x1), @2(x2, x3), x4, x5) new_esEs19(Just(x0), Nothing, x1) new_esEs18(Float(x0, x1), Float(x2, x3)) new_esEs24(x0, x1, app(ty_[], x2)) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_esEs17(x0, x1) new_primMulNat0(Succ(x0), Zero) new_esEs7(x0, x1, ty_Integer) new_esEs9(Left(x0), Right(x1), x2, x3) new_esEs9(Right(x0), Left(x1), x2, x3) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs9(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs4(x0, x1, ty_@0) new_esEs24(x0, x1, ty_Char) new_esEs14(Double(x0, x1), Double(x2, x3)) new_esEs22(x0, x1, ty_@0) new_esEs16(LT, GT) new_esEs16(GT, LT) new_esEs7(x0, x1, ty_Double) new_esEs9(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_esEs19(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs25(x0, x1, ty_Int) new_esEs4(x0, x1, ty_Bool) new_esEs7(x0, x1, ty_Ordering) new_primMulNat0(Succ(x0), Succ(x1)) new_esEs24(x0, x1, ty_Int) new_esEs8(x0, x1, ty_Ordering) new_esEs23(x0, x1, ty_Bool) new_primEqNat0(Succ(x0), Succ(x1)) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs22(x0, x1, ty_Bool) new_esEs8(x0, x1, ty_Int) new_esEs23(x0, x1, app(ty_[], x2)) new_esEs23(x0, x1, ty_Integer) new_primEqNat0(Succ(x0), Zero) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_esEs9(Left(x0), Left(x1), ty_Integer, x2) new_esEs8(x0, x1, ty_Double) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_esEs8(x0, x1, ty_Char) new_primPlusNat0(Zero, Succ(x0)) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_primEqNat0(Zero, Succ(x0)) new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) new_esEs9(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_esEs4(x0, x1, ty_Integer) new_esEs19(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs7(x0, x1, app(app(ty_@2, x2), x3)) new_esEs9(Left(x0), Left(x1), ty_Float, x2) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_esEs22(x0, x1, app(ty_[], x2)) new_primMulNat0(Zero, Succ(x0)) new_sr(Pos(x0), Pos(x1)) new_esEs24(x0, x1, ty_@0) new_primEqNat0(Zero, Zero) new_esEs9(Left(x0), Left(x1), ty_Ordering, x2) new_esEs9(Right(x0), Right(x1), x2, ty_Bool) new_esEs19(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs4(x0, x1, ty_Char) new_esEs8(x0, x1, app(app(ty_Either, x2), x3)) new_esEs19(Just(x0), Just(x1), ty_Float) new_esEs16(LT, LT) new_esEs24(x0, x1, ty_Float) new_esEs19(Just(x0), Just(x1), ty_Bool) new_asAs(False, x0) new_esEs7(x0, x1, app(ty_Maybe, x2)) new_esEs19(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs9(Right(x0), Right(x1), x2, ty_Float) new_esEs7(x0, x1, ty_Char) new_esEs9(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs24(x0, x1, ty_Bool) new_sr(Neg(x0), Neg(x1)) new_esEs13(:(x0, x1), [], x2) new_esEs26(x0, x1, ty_Int) new_esEs4(x0, x1, ty_Int) new_esEs21(x0, x1, ty_@0) new_esEs19(Just(x0), Just(x1), app(ty_[], x2)) new_esEs8(x0, x1, app(ty_Ratio, x2)) new_esEs19(Nothing, Nothing, x0) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_esEs21(x0, x1, ty_Float) new_esEs9(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs16(EQ, GT) new_esEs16(GT, EQ) new_esEs22(x0, x1, ty_Integer) new_esEs21(x0, x1, ty_Bool) new_asAs(True, x0) new_esEs7(x0, x1, ty_Int) new_esEs9(Right(x0), Right(x1), x2, ty_Double) new_esEs19(Just(x0), Just(x1), ty_@0) new_esEs7(x0, x1, app(ty_[], x2)) new_esEs9(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs23(x0, x1, ty_@0) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_esEs7(x0, x1, app(ty_Ratio, x2)) new_esEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, ty_Double) new_esEs19(Just(x0), Just(x1), ty_Int) new_esEs21(x0, x1, ty_Int) new_esEs10(@0, @0) new_esEs9(Right(x0), Right(x1), x2, ty_Int) new_esEs22(x0, x1, ty_Ordering) new_esEs23(x0, x1, ty_Char) new_esEs9(Right(x0), Right(x1), x2, ty_@0) new_esEs21(x0, x1, ty_Char) new_esEs19(Just(x0), Just(x1), ty_Char) new_esEs21(x0, x1, ty_Double) new_primPlusNat1(Succ(x0), x1) new_esEs9(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs8(x0, x1, ty_Integer) new_esEs16(LT, EQ) new_esEs16(EQ, LT) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs8(x0, x1, app(ty_[], x2)) new_esEs7(x0, x1, ty_Float) new_esEs9(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs4(x0, x1, ty_Double) new_esEs24(x0, x1, ty_Double) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs4(x0, x1, app(ty_Ratio, x2)) new_esEs5(False, False) new_esEs4(x0, x1, app(ty_Maybe, x2)) new_esEs16(GT, GT) new_esEs19(Just(x0), Just(x1), ty_Double) new_esEs23(x0, x1, ty_Int) new_esEs8(x0, x1, app(ty_Maybe, x2)) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (11) DependencyGraphProof (EQUIVALENT) The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 2 SCCs. ---------------------------------------- (12) Complex Obligation (AND) ---------------------------------------- (13) Obligation: Q DP problem: The TRS P consists of the following rules: new_lookup(Nothing, :(@2(Just(yu4000), yu401), yu41), h, ba) -> new_lookup(Nothing, yu41, h, ba) The TRS R consists of the following rules: new_esEs4(yu30, yu4000, ty_Int) -> new_esEs17(yu30, yu4000) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_primPlusNat0(Zero, Zero) -> Zero new_esEs8(yu301, yu40001, ty_Float) -> new_esEs18(yu301, yu40001) new_esEs22(yu301, yu40001, ty_Double) -> new_esEs14(yu301, yu40001) new_esEs12(Char(yu300), Char(yu40000)) -> new_primEqNat0(yu300, yu40000) new_esEs19(Just(yu300), Just(yu40000), app(app(ty_Either, beg), beh)) -> new_esEs9(yu300, yu40000, beg, beh) new_esEs23(yu302, yu40002, app(app(ty_@2, baa), bab)) -> new_esEs6(yu302, yu40002, baa, bab) new_esEs8(yu301, yu40001, ty_Char) -> new_esEs12(yu301, yu40001) new_esEs4(yu30, yu4000, app(ty_[], bdc)) -> new_esEs13(yu30, yu4000, bdc) new_esEs23(yu302, yu40002, ty_Int) -> new_esEs17(yu302, yu40002) new_esEs24(yu300, yu40000, app(ty_Maybe, bed)) -> new_esEs19(yu300, yu40000, bed) new_esEs23(yu302, yu40002, app(ty_[], hh)) -> new_esEs13(yu302, yu40002, hh) new_esEs5(True, True) -> True new_esEs9(Right(yu300), Right(yu40000), bbh, ty_@0) -> new_esEs10(yu300, yu40000) new_esEs25(yu300, yu40000, ty_Int) -> new_esEs17(yu300, yu40000) new_esEs4(yu30, yu4000, app(app(ty_@2, bd), be)) -> new_esEs6(yu30, yu4000, bd, be) new_esEs19(Just(yu300), Just(yu40000), app(ty_[], bfd)) -> new_esEs13(yu300, yu40000, bfd) new_esEs22(yu301, yu40001, ty_Integer) -> new_esEs15(yu301, yu40001) new_esEs21(yu300, yu40000, app(ty_Ratio, fh)) -> new_esEs20(yu300, yu40000, fh) new_esEs24(yu300, yu40000, ty_Double) -> new_esEs14(yu300, yu40000) new_esEs19(Nothing, Just(yu40000), bef) -> False new_esEs19(Just(yu300), Nothing, bef) -> False new_esEs19(Just(yu300), Just(yu40000), ty_Int) -> new_esEs17(yu300, yu40000) new_esEs21(yu300, yu40000, app(app(ty_@2, fd), ff)) -> new_esEs6(yu300, yu40000, fd, ff) new_esEs19(Nothing, Nothing, bef) -> True new_esEs16(GT, GT) -> True new_esEs7(yu300, yu40000, app(app(app(ty_@3, bh), ca), cb)) -> new_esEs11(yu300, yu40000, bh, ca, cb) new_primMulNat0(Succ(yu30000), Succ(yu4000100)) -> new_primPlusNat1(new_primMulNat0(yu30000, Succ(yu4000100)), yu4000100) new_esEs9(Left(yu300), Left(yu40000), app(app(ty_Either, bae), baf), bag) -> new_esEs9(yu300, yu40000, bae, baf) new_esEs14(Double(yu300, yu301), Double(yu40000, yu40001)) -> new_esEs17(new_sr(yu300, yu40001), new_sr(yu301, yu40000)) new_esEs8(yu301, yu40001, ty_Integer) -> new_esEs15(yu301, yu40001) new_esEs15(Integer(yu300), Integer(yu40000)) -> new_primEqInt(yu300, yu40000) new_esEs9(Left(yu300), Left(yu40000), app(ty_Maybe, bbf), bag) -> new_esEs19(yu300, yu40000, bbf) new_esEs8(yu301, yu40001, app(app(ty_Either, da), db)) -> new_esEs9(yu301, yu40001, da, db) new_asAs(True, yu32) -> yu32 new_esEs21(yu300, yu40000, ty_@0) -> new_esEs10(yu300, yu40000) new_esEs21(yu300, yu40000, app(app(app(ty_@3, eh), fa), fb)) -> new_esEs11(yu300, yu40000, eh, fa, fb) new_esEs21(yu300, yu40000, app(ty_[], fc)) -> new_esEs13(yu300, yu40000, fc) new_primEqInt(Pos(Succ(yu3000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(yu400000))) -> False new_esEs22(yu301, yu40001, app(ty_Maybe, ha)) -> new_esEs19(yu301, yu40001, ha) new_esEs19(Just(yu300), Just(yu40000), app(app(ty_@2, bfe), bff)) -> new_esEs6(yu300, yu40000, bfe, bff) new_esEs21(yu300, yu40000, ty_Int) -> new_esEs17(yu300, yu40000) new_esEs19(Just(yu300), Just(yu40000), ty_Char) -> new_esEs12(yu300, yu40000) new_esEs23(yu302, yu40002, app(ty_Ratio, bad)) -> new_esEs20(yu302, yu40002, bad) new_esEs24(yu300, yu40000, ty_@0) -> new_esEs10(yu300, yu40000) new_esEs19(Just(yu300), Just(yu40000), app(ty_Ratio, bfh)) -> new_esEs20(yu300, yu40000, bfh) new_esEs4(yu30, yu4000, ty_Float) -> new_esEs18(yu30, yu4000) new_esEs7(yu300, yu40000, ty_Bool) -> new_esEs5(yu300, yu40000) new_esEs19(Just(yu300), Just(yu40000), ty_Ordering) -> new_esEs16(yu300, yu40000) new_esEs24(yu300, yu40000, ty_Integer) -> new_esEs15(yu300, yu40000) new_esEs9(Left(yu300), Left(yu40000), ty_Bool, bag) -> new_esEs5(yu300, yu40000) new_primEqNat0(Succ(yu3000), Succ(yu400000)) -> new_primEqNat0(yu3000, yu400000) new_esEs9(Right(yu300), Right(yu40000), bbh, app(ty_Maybe, bda)) -> new_esEs19(yu300, yu40000, bda) new_esEs22(yu301, yu40001, ty_Float) -> new_esEs18(yu301, yu40001) new_esEs6(@2(yu300, yu301), @2(yu40000, yu40001), bd, be) -> new_asAs(new_esEs7(yu300, yu40000, bd), new_esEs8(yu301, yu40001, be)) new_esEs16(EQ, GT) -> False new_esEs16(GT, EQ) -> False new_esEs8(yu301, yu40001, ty_Ordering) -> new_esEs16(yu301, yu40001) new_esEs24(yu300, yu40000, ty_Ordering) -> new_esEs16(yu300, yu40000) new_esEs9(Right(yu300), Right(yu40000), bbh, ty_Int) -> new_esEs17(yu300, yu40000) new_esEs4(yu30, yu4000, ty_Char) -> new_esEs12(yu30, yu4000) new_esEs25(yu300, yu40000, ty_Integer) -> new_esEs15(yu300, yu40000) new_primMulNat0(Zero, Zero) -> Zero new_esEs23(yu302, yu40002, app(app(app(ty_@3, he), hf), hg)) -> new_esEs11(yu302, yu40002, he, hf, hg) new_esEs23(yu302, yu40002, ty_@0) -> new_esEs10(yu302, yu40002) new_esEs8(yu301, yu40001, ty_Double) -> new_esEs14(yu301, yu40001) new_esEs8(yu301, yu40001, app(app(ty_@2, dg), dh)) -> new_esEs6(yu301, yu40001, dg, dh) new_esEs23(yu302, yu40002, ty_Char) -> new_esEs12(yu302, yu40002) new_esEs26(yu301, yu40001, ty_Integer) -> new_esEs15(yu301, yu40001) new_esEs18(Float(yu300, yu301), Float(yu40000, yu40001)) -> new_esEs17(new_sr(yu300, yu40001), new_sr(yu301, yu40000)) new_esEs4(yu30, yu4000, app(app(app(ty_@3, ec), ed), ee)) -> new_esEs11(yu30, yu4000, ec, ed, ee) new_primEqNat0(Succ(yu3000), Zero) -> False new_primEqNat0(Zero, Succ(yu400000)) -> False new_esEs22(yu301, yu40001, ty_@0) -> new_esEs10(yu301, yu40001) new_esEs22(yu301, yu40001, ty_Char) -> new_esEs12(yu301, yu40001) new_esEs13([], [], bdc) -> True new_esEs7(yu300, yu40000, ty_Double) -> new_esEs14(yu300, yu40000) new_esEs9(Right(yu300), Right(yu40000), bbh, ty_Bool) -> new_esEs5(yu300, yu40000) new_esEs9(Left(yu300), Right(yu40000), bbh, bag) -> False new_esEs9(Right(yu300), Left(yu40000), bbh, bag) -> False new_esEs7(yu300, yu40000, app(ty_Ratio, cg)) -> new_esEs20(yu300, yu40000, cg) new_esEs22(yu301, yu40001, app(app(ty_Either, ga), gb)) -> new_esEs9(yu301, yu40001, ga, gb) new_esEs16(LT, EQ) -> False new_esEs16(EQ, LT) -> False new_esEs23(yu302, yu40002, ty_Bool) -> new_esEs5(yu302, yu40002) new_esEs24(yu300, yu40000, app(ty_Ratio, bee)) -> new_esEs20(yu300, yu40000, bee) new_esEs9(Left(yu300), Left(yu40000), app(app(ty_@2, bbd), bbe), bag) -> new_esEs6(yu300, yu40000, bbd, bbe) new_esEs24(yu300, yu40000, ty_Bool) -> new_esEs5(yu300, yu40000) new_primEqInt(Neg(Succ(yu3000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(yu400000))) -> False new_esEs21(yu300, yu40000, ty_Float) -> new_esEs18(yu300, yu40000) new_primEqInt(Pos(Succ(yu3000)), Pos(Succ(yu400000))) -> new_primEqNat0(yu3000, yu400000) new_esEs7(yu300, yu40000, ty_Integer) -> new_esEs15(yu300, yu40000) new_esEs4(yu30, yu4000, app(app(ty_Either, bbh), bag)) -> new_esEs9(yu30, yu4000, bbh, bag) new_esEs23(yu302, yu40002, app(app(ty_Either, hc), hd)) -> new_esEs9(yu302, yu40002, hc, hd) new_esEs9(Left(yu300), Left(yu40000), app(ty_[], bbc), bag) -> new_esEs13(yu300, yu40000, bbc) new_esEs7(yu300, yu40000, ty_Ordering) -> new_esEs16(yu300, yu40000) new_esEs9(Left(yu300), Left(yu40000), ty_Char, bag) -> new_esEs12(yu300, yu40000) new_sr(Pos(yu3000), Neg(yu400010)) -> Neg(new_primMulNat0(yu3000, yu400010)) new_sr(Neg(yu3000), Pos(yu400010)) -> Neg(new_primMulNat0(yu3000, yu400010)) new_esEs4(yu30, yu4000, ty_@0) -> new_esEs10(yu30, yu4000) new_esEs13(:(yu300, yu301), :(yu40000, yu40001), bdc) -> new_asAs(new_esEs24(yu300, yu40000, bdc), new_esEs13(yu301, yu40001, bdc)) new_primEqInt(Pos(Succ(yu3000)), Neg(yu40000)) -> False new_primEqInt(Neg(Succ(yu3000)), Pos(yu40000)) -> False new_esEs22(yu301, yu40001, app(app(app(ty_@3, gc), gd), ge)) -> new_esEs11(yu301, yu40001, gc, gd, ge) new_esEs9(Right(yu300), Right(yu40000), bbh, app(app(ty_Either, bca), bcb)) -> new_esEs9(yu300, yu40000, bca, bcb) new_esEs9(Left(yu300), Left(yu40000), ty_Int, bag) -> new_esEs17(yu300, yu40000) new_esEs23(yu302, yu40002, app(ty_Maybe, bac)) -> new_esEs19(yu302, yu40002, bac) new_esEs16(EQ, EQ) -> True new_esEs9(Left(yu300), Left(yu40000), app(app(app(ty_@3, bah), bba), bbb), bag) -> new_esEs11(yu300, yu40000, bah, bba, bbb) new_esEs9(Left(yu300), Left(yu40000), ty_@0, bag) -> new_esEs10(yu300, yu40000) new_esEs24(yu300, yu40000, app(ty_[], bea)) -> new_esEs13(yu300, yu40000, bea) new_esEs9(Right(yu300), Right(yu40000), bbh, ty_Ordering) -> new_esEs16(yu300, yu40000) new_esEs4(yu30, yu4000, app(ty_Maybe, bef)) -> new_esEs19(yu30, yu4000, bef) new_esEs8(yu301, yu40001, ty_@0) -> new_esEs10(yu301, yu40001) new_esEs22(yu301, yu40001, app(ty_Ratio, hb)) -> new_esEs20(yu301, yu40001, hb) new_esEs8(yu301, yu40001, app(app(app(ty_@3, dc), dd), de)) -> new_esEs11(yu301, yu40001, dc, dd, de) new_esEs9(Left(yu300), Left(yu40000), ty_Float, bag) -> new_esEs18(yu300, yu40000) new_esEs22(yu301, yu40001, app(app(ty_@2, gg), gh)) -> new_esEs6(yu301, yu40001, gg, gh) new_esEs19(Just(yu300), Just(yu40000), ty_Bool) -> new_esEs5(yu300, yu40000) new_esEs21(yu300, yu40000, ty_Integer) -> new_esEs15(yu300, yu40000) new_esEs7(yu300, yu40000, ty_Float) -> new_esEs18(yu300, yu40000) new_esEs23(yu302, yu40002, ty_Double) -> new_esEs14(yu302, yu40002) new_esEs9(Left(yu300), Left(yu40000), app(ty_Ratio, bbg), bag) -> new_esEs20(yu300, yu40000, bbg) new_sr(Neg(yu3000), Neg(yu400010)) -> Pos(new_primMulNat0(yu3000, yu400010)) new_esEs4(yu30, yu4000, ty_Double) -> new_esEs14(yu30, yu4000) new_esEs21(yu300, yu40000, ty_Double) -> new_esEs14(yu300, yu40000) new_primEqInt(Pos(Zero), Neg(Succ(yu400000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(yu400000))) -> False new_esEs9(Right(yu300), Right(yu40000), bbh, app(ty_[], bcf)) -> new_esEs13(yu300, yu40000, bcf) new_esEs19(Just(yu300), Just(yu40000), app(ty_Maybe, bfg)) -> new_esEs19(yu300, yu40000, bfg) new_esEs16(LT, LT) -> True new_esEs9(Right(yu300), Right(yu40000), bbh, ty_Char) -> new_esEs12(yu300, yu40000) new_esEs24(yu300, yu40000, app(app(ty_@2, beb), bec)) -> new_esEs6(yu300, yu40000, beb, bec) new_primPlusNat0(Succ(yu3300), Succ(yu40001000)) -> Succ(Succ(new_primPlusNat0(yu3300, yu40001000))) new_esEs22(yu301, yu40001, app(ty_[], gf)) -> new_esEs13(yu301, yu40001, gf) new_esEs22(yu301, yu40001, ty_Int) -> new_esEs17(yu301, yu40001) new_esEs10(@0, @0) -> True new_esEs5(False, True) -> False new_esEs5(True, False) -> False new_esEs21(yu300, yu40000, ty_Char) -> new_esEs12(yu300, yu40000) new_primEqInt(Neg(Succ(yu3000)), Neg(Succ(yu400000))) -> new_primEqNat0(yu3000, yu400000) new_esEs11(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ec, ed, ee) -> new_asAs(new_esEs21(yu300, yu40000, ec), new_asAs(new_esEs22(yu301, yu40001, ed), new_esEs23(yu302, yu40002, ee))) new_esEs20(:%(yu300, yu301), :%(yu40000, yu40001), bga) -> new_asAs(new_esEs25(yu300, yu40000, bga), new_esEs26(yu301, yu40001, bga)) new_esEs19(Just(yu300), Just(yu40000), app(app(app(ty_@3, bfa), bfb), bfc)) -> new_esEs11(yu300, yu40000, bfa, bfb, bfc) new_esEs9(Right(yu300), Right(yu40000), bbh, app(app(ty_@2, bcg), bch)) -> new_esEs6(yu300, yu40000, bcg, bch) new_esEs19(Just(yu300), Just(yu40000), ty_@0) -> new_esEs10(yu300, yu40000) new_esEs13(:(yu300, yu301), [], bdc) -> False new_esEs13([], :(yu40000, yu40001), bdc) -> False new_esEs24(yu300, yu40000, app(app(ty_Either, bdd), bde)) -> new_esEs9(yu300, yu40000, bdd, bde) new_esEs9(Right(yu300), Right(yu40000), bbh, app(app(app(ty_@3, bcc), bcd), bce)) -> new_esEs11(yu300, yu40000, bcc, bcd, bce) new_primMulNat0(Succ(yu30000), Zero) -> Zero new_primMulNat0(Zero, Succ(yu4000100)) -> Zero new_sr(Pos(yu3000), Pos(yu400010)) -> Pos(new_primMulNat0(yu3000, yu400010)) new_esEs24(yu300, yu40000, ty_Char) -> new_esEs12(yu300, yu40000) new_esEs21(yu300, yu40000, ty_Ordering) -> new_esEs16(yu300, yu40000) new_esEs4(yu30, yu4000, ty_Bool) -> new_esEs5(yu30, yu4000) new_primPlusNat1(Succ(yu330), yu4000100) -> Succ(Succ(new_primPlusNat0(yu330, yu4000100))) new_esEs24(yu300, yu40000, ty_Int) -> new_esEs17(yu300, yu40000) new_esEs21(yu300, yu40000, ty_Bool) -> new_esEs5(yu300, yu40000) new_primPlusNat0(Succ(yu3300), Zero) -> Succ(yu3300) new_primPlusNat0(Zero, Succ(yu40001000)) -> Succ(yu40001000) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_primPlusNat1(Zero, yu4000100) -> Succ(yu4000100) new_esEs21(yu300, yu40000, app(app(ty_Either, ef), eg)) -> new_esEs9(yu300, yu40000, ef, eg) new_esEs23(yu302, yu40002, ty_Float) -> new_esEs18(yu302, yu40002) new_esEs8(yu301, yu40001, ty_Int) -> new_esEs17(yu301, yu40001) new_esEs16(LT, GT) -> False new_esEs16(GT, LT) -> False new_esEs8(yu301, yu40001, app(ty_[], df)) -> new_esEs13(yu301, yu40001, df) new_esEs22(yu301, yu40001, ty_Bool) -> new_esEs5(yu301, yu40001) new_esEs8(yu301, yu40001, app(ty_Ratio, eb)) -> new_esEs20(yu301, yu40001, eb) new_esEs24(yu300, yu40000, app(app(app(ty_@3, bdf), bdg), bdh)) -> new_esEs11(yu300, yu40000, bdf, bdg, bdh) new_esEs23(yu302, yu40002, ty_Ordering) -> new_esEs16(yu302, yu40002) new_esEs24(yu300, yu40000, ty_Float) -> new_esEs18(yu300, yu40000) new_esEs17(yu30, yu4000) -> new_primEqInt(yu30, yu4000) new_esEs5(False, False) -> True new_esEs8(yu301, yu40001, app(ty_Maybe, ea)) -> new_esEs19(yu301, yu40001, ea) new_esEs4(yu30, yu4000, ty_Integer) -> new_esEs15(yu30, yu4000) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs7(yu300, yu40000, app(app(ty_@2, cd), ce)) -> new_esEs6(yu300, yu40000, cd, ce) new_esEs9(Left(yu300), Left(yu40000), ty_Double, bag) -> new_esEs14(yu300, yu40000) new_esEs19(Just(yu300), Just(yu40000), ty_Integer) -> new_esEs15(yu300, yu40000) new_esEs21(yu300, yu40000, app(ty_Maybe, fg)) -> new_esEs19(yu300, yu40000, fg) new_esEs26(yu301, yu40001, ty_Int) -> new_esEs17(yu301, yu40001) new_esEs23(yu302, yu40002, ty_Integer) -> new_esEs15(yu302, yu40002) new_primEqNat0(Zero, Zero) -> True new_esEs9(Left(yu300), Left(yu40000), ty_Integer, bag) -> new_esEs15(yu300, yu40000) new_esEs19(Just(yu300), Just(yu40000), ty_Double) -> new_esEs14(yu300, yu40000) new_esEs7(yu300, yu40000, app(ty_Maybe, cf)) -> new_esEs19(yu300, yu40000, cf) new_esEs9(Left(yu300), Left(yu40000), ty_Ordering, bag) -> new_esEs16(yu300, yu40000) new_esEs4(yu30, yu4000, app(ty_Ratio, bga)) -> new_esEs20(yu30, yu4000, bga) new_esEs22(yu301, yu40001, ty_Ordering) -> new_esEs16(yu301, yu40001) new_esEs9(Right(yu300), Right(yu40000), bbh, ty_Float) -> new_esEs18(yu300, yu40000) new_asAs(False, yu32) -> False new_esEs9(Right(yu300), Right(yu40000), bbh, ty_Integer) -> new_esEs15(yu300, yu40000) new_esEs9(Right(yu300), Right(yu40000), bbh, ty_Double) -> new_esEs14(yu300, yu40000) new_esEs7(yu300, yu40000, app(app(ty_Either, bf), bg)) -> new_esEs9(yu300, yu40000, bf, bg) new_esEs19(Just(yu300), Just(yu40000), ty_Float) -> new_esEs18(yu300, yu40000) new_esEs7(yu300, yu40000, ty_@0) -> new_esEs10(yu300, yu40000) new_esEs8(yu301, yu40001, ty_Bool) -> new_esEs5(yu301, yu40001) new_esEs7(yu300, yu40000, ty_Int) -> new_esEs17(yu300, yu40000) new_esEs7(yu300, yu40000, ty_Char) -> new_esEs12(yu300, yu40000) new_esEs7(yu300, yu40000, app(ty_[], cc)) -> new_esEs13(yu300, yu40000, cc) new_esEs9(Right(yu300), Right(yu40000), bbh, app(ty_Ratio, bdb)) -> new_esEs20(yu300, yu40000, bdb) new_esEs4(yu30, yu4000, ty_Ordering) -> new_esEs16(yu30, yu4000) The set Q consists of the following terms: new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_esEs24(x0, x1, app(ty_Ratio, x2)) new_esEs7(x0, x1, ty_@0) new_primPlusNat0(Succ(x0), Zero) new_esEs25(x0, x1, ty_Integer) new_esEs23(x0, x1, ty_Ordering) new_esEs24(x0, x1, ty_Integer) new_esEs9(Right(x0), Right(x1), x2, ty_Char) new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs22(x0, x1, ty_Float) new_primMulNat0(Zero, Zero) new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs9(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs4(x0, x1, ty_Ordering) new_esEs23(x0, x1, ty_Float) new_esEs19(Nothing, Just(x0), x1) new_esEs19(Just(x0), Just(x1), ty_Integer) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs21(x0, x1, ty_Integer) new_esEs13([], :(x0, x1), x2) new_esEs8(x0, x1, ty_Bool) new_esEs9(Left(x0), Left(x1), ty_@0, x2) new_esEs12(Char(x0), Char(x1)) new_esEs19(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_esEs20(:%(x0, x1), :%(x2, x3), x4) new_esEs15(Integer(x0), Integer(x1)) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_esEs16(EQ, EQ) new_esEs9(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs13(:(x0, x1), :(x2, x3), x4) new_esEs4(x0, x1, ty_Float) new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) new_esEs4(x0, x1, app(ty_[], x2)) new_esEs9(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_esEs8(x0, x1, app(app(ty_@2, x2), x3)) new_esEs7(x0, x1, ty_Bool) new_primEqInt(Neg(Zero), Neg(Zero)) new_esEs7(x0, x1, app(app(ty_Either, x2), x3)) new_primPlusNat0(Zero, Zero) new_esEs21(x0, x1, ty_Ordering) new_esEs9(Right(x0), Right(x1), x2, ty_Ordering) new_esEs9(Left(x0), Left(x1), ty_Bool, x2) new_esEs13([], [], x0) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs22(x0, x1, ty_Char) new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) new_esEs9(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs5(False, True) new_esEs5(True, False) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs8(x0, x1, ty_@0) new_esEs9(Left(x0), Left(x1), ty_Int, x2) new_esEs5(True, True) new_primPlusNat1(Zero, x0) new_esEs7(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs24(x0, x1, ty_Ordering) new_esEs19(Just(x0), Just(x1), ty_Ordering) new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs21(x0, x1, app(ty_[], x2)) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs8(x0, x1, ty_Float) new_esEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_sr(Pos(x0), Neg(x1)) new_sr(Neg(x0), Pos(x1)) new_esEs9(Left(x0), Left(x1), ty_Char, x2) new_esEs9(Right(x0), Right(x1), x2, ty_Integer) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primPlusNat0(Succ(x0), Succ(x1)) new_esEs22(x0, x1, ty_Double) new_esEs24(x0, x1, app(ty_Maybe, x2)) new_esEs9(Left(x0), Left(x1), ty_Double, x2) new_esEs26(x0, x1, ty_Integer) new_esEs22(x0, x1, ty_Int) new_esEs6(@2(x0, x1), @2(x2, x3), x4, x5) new_esEs19(Just(x0), Nothing, x1) new_esEs18(Float(x0, x1), Float(x2, x3)) new_esEs24(x0, x1, app(ty_[], x2)) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_esEs17(x0, x1) new_primMulNat0(Succ(x0), Zero) new_esEs7(x0, x1, ty_Integer) new_esEs9(Left(x0), Right(x1), x2, x3) new_esEs9(Right(x0), Left(x1), x2, x3) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs9(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs4(x0, x1, ty_@0) new_esEs24(x0, x1, ty_Char) new_esEs14(Double(x0, x1), Double(x2, x3)) new_esEs22(x0, x1, ty_@0) new_esEs16(LT, GT) new_esEs16(GT, LT) new_esEs7(x0, x1, ty_Double) new_esEs9(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_esEs19(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs25(x0, x1, ty_Int) new_esEs4(x0, x1, ty_Bool) new_esEs7(x0, x1, ty_Ordering) new_primMulNat0(Succ(x0), Succ(x1)) new_esEs24(x0, x1, ty_Int) new_esEs8(x0, x1, ty_Ordering) new_esEs23(x0, x1, ty_Bool) new_primEqNat0(Succ(x0), Succ(x1)) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs22(x0, x1, ty_Bool) new_esEs8(x0, x1, ty_Int) new_esEs23(x0, x1, app(ty_[], x2)) new_esEs23(x0, x1, ty_Integer) new_primEqNat0(Succ(x0), Zero) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_esEs9(Left(x0), Left(x1), ty_Integer, x2) new_esEs8(x0, x1, ty_Double) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_esEs8(x0, x1, ty_Char) new_primPlusNat0(Zero, Succ(x0)) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_primEqNat0(Zero, Succ(x0)) new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) new_esEs9(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_esEs4(x0, x1, ty_Integer) new_esEs19(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs7(x0, x1, app(app(ty_@2, x2), x3)) new_esEs9(Left(x0), Left(x1), ty_Float, x2) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_esEs22(x0, x1, app(ty_[], x2)) new_primMulNat0(Zero, Succ(x0)) new_sr(Pos(x0), Pos(x1)) new_esEs24(x0, x1, ty_@0) new_primEqNat0(Zero, Zero) new_esEs9(Left(x0), Left(x1), ty_Ordering, x2) new_esEs9(Right(x0), Right(x1), x2, ty_Bool) new_esEs19(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs4(x0, x1, ty_Char) new_esEs8(x0, x1, app(app(ty_Either, x2), x3)) new_esEs19(Just(x0), Just(x1), ty_Float) new_esEs16(LT, LT) new_esEs24(x0, x1, ty_Float) new_esEs19(Just(x0), Just(x1), ty_Bool) new_asAs(False, x0) new_esEs7(x0, x1, app(ty_Maybe, x2)) new_esEs19(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs9(Right(x0), Right(x1), x2, ty_Float) new_esEs7(x0, x1, ty_Char) new_esEs9(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs24(x0, x1, ty_Bool) new_sr(Neg(x0), Neg(x1)) new_esEs13(:(x0, x1), [], x2) new_esEs26(x0, x1, ty_Int) new_esEs4(x0, x1, ty_Int) new_esEs21(x0, x1, ty_@0) new_esEs19(Just(x0), Just(x1), app(ty_[], x2)) new_esEs8(x0, x1, app(ty_Ratio, x2)) new_esEs19(Nothing, Nothing, x0) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_esEs21(x0, x1, ty_Float) new_esEs9(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs16(EQ, GT) new_esEs16(GT, EQ) new_esEs22(x0, x1, ty_Integer) new_esEs21(x0, x1, ty_Bool) new_asAs(True, x0) new_esEs7(x0, x1, ty_Int) new_esEs9(Right(x0), Right(x1), x2, ty_Double) new_esEs19(Just(x0), Just(x1), ty_@0) new_esEs7(x0, x1, app(ty_[], x2)) new_esEs9(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs23(x0, x1, ty_@0) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_esEs7(x0, x1, app(ty_Ratio, x2)) new_esEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, ty_Double) new_esEs19(Just(x0), Just(x1), ty_Int) new_esEs21(x0, x1, ty_Int) new_esEs10(@0, @0) new_esEs9(Right(x0), Right(x1), x2, ty_Int) new_esEs22(x0, x1, ty_Ordering) new_esEs23(x0, x1, ty_Char) new_esEs9(Right(x0), Right(x1), x2, ty_@0) new_esEs21(x0, x1, ty_Char) new_esEs19(Just(x0), Just(x1), ty_Char) new_esEs21(x0, x1, ty_Double) new_primPlusNat1(Succ(x0), x1) new_esEs9(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs8(x0, x1, ty_Integer) new_esEs16(LT, EQ) new_esEs16(EQ, LT) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs8(x0, x1, app(ty_[], x2)) new_esEs7(x0, x1, ty_Float) new_esEs9(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs4(x0, x1, ty_Double) new_esEs24(x0, x1, ty_Double) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs4(x0, x1, app(ty_Ratio, x2)) new_esEs5(False, False) new_esEs4(x0, x1, app(ty_Maybe, x2)) new_esEs16(GT, GT) new_esEs19(Just(x0), Just(x1), ty_Double) new_esEs23(x0, x1, ty_Int) new_esEs8(x0, x1, app(ty_Maybe, x2)) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (14) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_lookup(Nothing, :(@2(Just(yu4000), yu401), yu41), h, ba) -> new_lookup(Nothing, yu41, h, ba) The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3, 4 >= 4 ---------------------------------------- (15) YES ---------------------------------------- (16) Obligation: Q DP problem: The TRS P consists of the following rules: new_lookup(Just(yu30), :(@2(Just(yu4000), yu401), yu41), h, ba) -> new_lookup1(yu30, yu4000, yu401, yu41, new_esEs4(yu30, yu4000, ba), h, ba) new_lookup1(yu11, yu12, yu13, yu14, False, bb, bc) -> new_lookup(Just(yu11), yu14, bb, bc) new_lookup(Just(yu30), :(@2(Nothing, yu401), yu41), h, ba) -> new_lookup(Just(yu30), yu41, h, ba) The TRS R consists of the following rules: new_esEs4(yu30, yu4000, ty_Int) -> new_esEs17(yu30, yu4000) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_primPlusNat0(Zero, Zero) -> Zero new_esEs8(yu301, yu40001, ty_Float) -> new_esEs18(yu301, yu40001) new_esEs22(yu301, yu40001, ty_Double) -> new_esEs14(yu301, yu40001) new_esEs12(Char(yu300), Char(yu40000)) -> new_primEqNat0(yu300, yu40000) new_esEs19(Just(yu300), Just(yu40000), app(app(ty_Either, beg), beh)) -> new_esEs9(yu300, yu40000, beg, beh) new_esEs23(yu302, yu40002, app(app(ty_@2, baa), bab)) -> new_esEs6(yu302, yu40002, baa, bab) new_esEs8(yu301, yu40001, ty_Char) -> new_esEs12(yu301, yu40001) new_esEs4(yu30, yu4000, app(ty_[], bdc)) -> new_esEs13(yu30, yu4000, bdc) new_esEs23(yu302, yu40002, ty_Int) -> new_esEs17(yu302, yu40002) new_esEs24(yu300, yu40000, app(ty_Maybe, bed)) -> new_esEs19(yu300, yu40000, bed) new_esEs23(yu302, yu40002, app(ty_[], hh)) -> new_esEs13(yu302, yu40002, hh) new_esEs5(True, True) -> True new_esEs9(Right(yu300), Right(yu40000), bbh, ty_@0) -> new_esEs10(yu300, yu40000) new_esEs25(yu300, yu40000, ty_Int) -> new_esEs17(yu300, yu40000) new_esEs4(yu30, yu4000, app(app(ty_@2, bd), be)) -> new_esEs6(yu30, yu4000, bd, be) new_esEs19(Just(yu300), Just(yu40000), app(ty_[], bfd)) -> new_esEs13(yu300, yu40000, bfd) new_esEs22(yu301, yu40001, ty_Integer) -> new_esEs15(yu301, yu40001) new_esEs21(yu300, yu40000, app(ty_Ratio, fh)) -> new_esEs20(yu300, yu40000, fh) new_esEs24(yu300, yu40000, ty_Double) -> new_esEs14(yu300, yu40000) new_esEs19(Nothing, Just(yu40000), bef) -> False new_esEs19(Just(yu300), Nothing, bef) -> False new_esEs19(Just(yu300), Just(yu40000), ty_Int) -> new_esEs17(yu300, yu40000) new_esEs21(yu300, yu40000, app(app(ty_@2, fd), ff)) -> new_esEs6(yu300, yu40000, fd, ff) new_esEs19(Nothing, Nothing, bef) -> True new_esEs16(GT, GT) -> True new_esEs7(yu300, yu40000, app(app(app(ty_@3, bh), ca), cb)) -> new_esEs11(yu300, yu40000, bh, ca, cb) new_primMulNat0(Succ(yu30000), Succ(yu4000100)) -> new_primPlusNat1(new_primMulNat0(yu30000, Succ(yu4000100)), yu4000100) new_esEs9(Left(yu300), Left(yu40000), app(app(ty_Either, bae), baf), bag) -> new_esEs9(yu300, yu40000, bae, baf) new_esEs14(Double(yu300, yu301), Double(yu40000, yu40001)) -> new_esEs17(new_sr(yu300, yu40001), new_sr(yu301, yu40000)) new_esEs8(yu301, yu40001, ty_Integer) -> new_esEs15(yu301, yu40001) new_esEs15(Integer(yu300), Integer(yu40000)) -> new_primEqInt(yu300, yu40000) new_esEs9(Left(yu300), Left(yu40000), app(ty_Maybe, bbf), bag) -> new_esEs19(yu300, yu40000, bbf) new_esEs8(yu301, yu40001, app(app(ty_Either, da), db)) -> new_esEs9(yu301, yu40001, da, db) new_asAs(True, yu32) -> yu32 new_esEs21(yu300, yu40000, ty_@0) -> new_esEs10(yu300, yu40000) new_esEs21(yu300, yu40000, app(app(app(ty_@3, eh), fa), fb)) -> new_esEs11(yu300, yu40000, eh, fa, fb) new_esEs21(yu300, yu40000, app(ty_[], fc)) -> new_esEs13(yu300, yu40000, fc) new_primEqInt(Pos(Succ(yu3000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(yu400000))) -> False new_esEs22(yu301, yu40001, app(ty_Maybe, ha)) -> new_esEs19(yu301, yu40001, ha) new_esEs19(Just(yu300), Just(yu40000), app(app(ty_@2, bfe), bff)) -> new_esEs6(yu300, yu40000, bfe, bff) new_esEs21(yu300, yu40000, ty_Int) -> new_esEs17(yu300, yu40000) new_esEs19(Just(yu300), Just(yu40000), ty_Char) -> new_esEs12(yu300, yu40000) new_esEs23(yu302, yu40002, app(ty_Ratio, bad)) -> new_esEs20(yu302, yu40002, bad) new_esEs24(yu300, yu40000, ty_@0) -> new_esEs10(yu300, yu40000) new_esEs19(Just(yu300), Just(yu40000), app(ty_Ratio, bfh)) -> new_esEs20(yu300, yu40000, bfh) new_esEs4(yu30, yu4000, ty_Float) -> new_esEs18(yu30, yu4000) new_esEs7(yu300, yu40000, ty_Bool) -> new_esEs5(yu300, yu40000) new_esEs19(Just(yu300), Just(yu40000), ty_Ordering) -> new_esEs16(yu300, yu40000) new_esEs24(yu300, yu40000, ty_Integer) -> new_esEs15(yu300, yu40000) new_esEs9(Left(yu300), Left(yu40000), ty_Bool, bag) -> new_esEs5(yu300, yu40000) new_primEqNat0(Succ(yu3000), Succ(yu400000)) -> new_primEqNat0(yu3000, yu400000) new_esEs9(Right(yu300), Right(yu40000), bbh, app(ty_Maybe, bda)) -> new_esEs19(yu300, yu40000, bda) new_esEs22(yu301, yu40001, ty_Float) -> new_esEs18(yu301, yu40001) new_esEs6(@2(yu300, yu301), @2(yu40000, yu40001), bd, be) -> new_asAs(new_esEs7(yu300, yu40000, bd), new_esEs8(yu301, yu40001, be)) new_esEs16(EQ, GT) -> False new_esEs16(GT, EQ) -> False new_esEs8(yu301, yu40001, ty_Ordering) -> new_esEs16(yu301, yu40001) new_esEs24(yu300, yu40000, ty_Ordering) -> new_esEs16(yu300, yu40000) new_esEs9(Right(yu300), Right(yu40000), bbh, ty_Int) -> new_esEs17(yu300, yu40000) new_esEs4(yu30, yu4000, ty_Char) -> new_esEs12(yu30, yu4000) new_esEs25(yu300, yu40000, ty_Integer) -> new_esEs15(yu300, yu40000) new_primMulNat0(Zero, Zero) -> Zero new_esEs23(yu302, yu40002, app(app(app(ty_@3, he), hf), hg)) -> new_esEs11(yu302, yu40002, he, hf, hg) new_esEs23(yu302, yu40002, ty_@0) -> new_esEs10(yu302, yu40002) new_esEs8(yu301, yu40001, ty_Double) -> new_esEs14(yu301, yu40001) new_esEs8(yu301, yu40001, app(app(ty_@2, dg), dh)) -> new_esEs6(yu301, yu40001, dg, dh) new_esEs23(yu302, yu40002, ty_Char) -> new_esEs12(yu302, yu40002) new_esEs26(yu301, yu40001, ty_Integer) -> new_esEs15(yu301, yu40001) new_esEs18(Float(yu300, yu301), Float(yu40000, yu40001)) -> new_esEs17(new_sr(yu300, yu40001), new_sr(yu301, yu40000)) new_esEs4(yu30, yu4000, app(app(app(ty_@3, ec), ed), ee)) -> new_esEs11(yu30, yu4000, ec, ed, ee) new_primEqNat0(Succ(yu3000), Zero) -> False new_primEqNat0(Zero, Succ(yu400000)) -> False new_esEs22(yu301, yu40001, ty_@0) -> new_esEs10(yu301, yu40001) new_esEs22(yu301, yu40001, ty_Char) -> new_esEs12(yu301, yu40001) new_esEs13([], [], bdc) -> True new_esEs7(yu300, yu40000, ty_Double) -> new_esEs14(yu300, yu40000) new_esEs9(Right(yu300), Right(yu40000), bbh, ty_Bool) -> new_esEs5(yu300, yu40000) new_esEs9(Left(yu300), Right(yu40000), bbh, bag) -> False new_esEs9(Right(yu300), Left(yu40000), bbh, bag) -> False new_esEs7(yu300, yu40000, app(ty_Ratio, cg)) -> new_esEs20(yu300, yu40000, cg) new_esEs22(yu301, yu40001, app(app(ty_Either, ga), gb)) -> new_esEs9(yu301, yu40001, ga, gb) new_esEs16(LT, EQ) -> False new_esEs16(EQ, LT) -> False new_esEs23(yu302, yu40002, ty_Bool) -> new_esEs5(yu302, yu40002) new_esEs24(yu300, yu40000, app(ty_Ratio, bee)) -> new_esEs20(yu300, yu40000, bee) new_esEs9(Left(yu300), Left(yu40000), app(app(ty_@2, bbd), bbe), bag) -> new_esEs6(yu300, yu40000, bbd, bbe) new_esEs24(yu300, yu40000, ty_Bool) -> new_esEs5(yu300, yu40000) new_primEqInt(Neg(Succ(yu3000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(yu400000))) -> False new_esEs21(yu300, yu40000, ty_Float) -> new_esEs18(yu300, yu40000) new_primEqInt(Pos(Succ(yu3000)), Pos(Succ(yu400000))) -> new_primEqNat0(yu3000, yu400000) new_esEs7(yu300, yu40000, ty_Integer) -> new_esEs15(yu300, yu40000) new_esEs4(yu30, yu4000, app(app(ty_Either, bbh), bag)) -> new_esEs9(yu30, yu4000, bbh, bag) new_esEs23(yu302, yu40002, app(app(ty_Either, hc), hd)) -> new_esEs9(yu302, yu40002, hc, hd) new_esEs9(Left(yu300), Left(yu40000), app(ty_[], bbc), bag) -> new_esEs13(yu300, yu40000, bbc) new_esEs7(yu300, yu40000, ty_Ordering) -> new_esEs16(yu300, yu40000) new_esEs9(Left(yu300), Left(yu40000), ty_Char, bag) -> new_esEs12(yu300, yu40000) new_sr(Pos(yu3000), Neg(yu400010)) -> Neg(new_primMulNat0(yu3000, yu400010)) new_sr(Neg(yu3000), Pos(yu400010)) -> Neg(new_primMulNat0(yu3000, yu400010)) new_esEs4(yu30, yu4000, ty_@0) -> new_esEs10(yu30, yu4000) new_esEs13(:(yu300, yu301), :(yu40000, yu40001), bdc) -> new_asAs(new_esEs24(yu300, yu40000, bdc), new_esEs13(yu301, yu40001, bdc)) new_primEqInt(Pos(Succ(yu3000)), Neg(yu40000)) -> False new_primEqInt(Neg(Succ(yu3000)), Pos(yu40000)) -> False new_esEs22(yu301, yu40001, app(app(app(ty_@3, gc), gd), ge)) -> new_esEs11(yu301, yu40001, gc, gd, ge) new_esEs9(Right(yu300), Right(yu40000), bbh, app(app(ty_Either, bca), bcb)) -> new_esEs9(yu300, yu40000, bca, bcb) new_esEs9(Left(yu300), Left(yu40000), ty_Int, bag) -> new_esEs17(yu300, yu40000) new_esEs23(yu302, yu40002, app(ty_Maybe, bac)) -> new_esEs19(yu302, yu40002, bac) new_esEs16(EQ, EQ) -> True new_esEs9(Left(yu300), Left(yu40000), app(app(app(ty_@3, bah), bba), bbb), bag) -> new_esEs11(yu300, yu40000, bah, bba, bbb) new_esEs9(Left(yu300), Left(yu40000), ty_@0, bag) -> new_esEs10(yu300, yu40000) new_esEs24(yu300, yu40000, app(ty_[], bea)) -> new_esEs13(yu300, yu40000, bea) new_esEs9(Right(yu300), Right(yu40000), bbh, ty_Ordering) -> new_esEs16(yu300, yu40000) new_esEs4(yu30, yu4000, app(ty_Maybe, bef)) -> new_esEs19(yu30, yu4000, bef) new_esEs8(yu301, yu40001, ty_@0) -> new_esEs10(yu301, yu40001) new_esEs22(yu301, yu40001, app(ty_Ratio, hb)) -> new_esEs20(yu301, yu40001, hb) new_esEs8(yu301, yu40001, app(app(app(ty_@3, dc), dd), de)) -> new_esEs11(yu301, yu40001, dc, dd, de) new_esEs9(Left(yu300), Left(yu40000), ty_Float, bag) -> new_esEs18(yu300, yu40000) new_esEs22(yu301, yu40001, app(app(ty_@2, gg), gh)) -> new_esEs6(yu301, yu40001, gg, gh) new_esEs19(Just(yu300), Just(yu40000), ty_Bool) -> new_esEs5(yu300, yu40000) new_esEs21(yu300, yu40000, ty_Integer) -> new_esEs15(yu300, yu40000) new_esEs7(yu300, yu40000, ty_Float) -> new_esEs18(yu300, yu40000) new_esEs23(yu302, yu40002, ty_Double) -> new_esEs14(yu302, yu40002) new_esEs9(Left(yu300), Left(yu40000), app(ty_Ratio, bbg), bag) -> new_esEs20(yu300, yu40000, bbg) new_sr(Neg(yu3000), Neg(yu400010)) -> Pos(new_primMulNat0(yu3000, yu400010)) new_esEs4(yu30, yu4000, ty_Double) -> new_esEs14(yu30, yu4000) new_esEs21(yu300, yu40000, ty_Double) -> new_esEs14(yu300, yu40000) new_primEqInt(Pos(Zero), Neg(Succ(yu400000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(yu400000))) -> False new_esEs9(Right(yu300), Right(yu40000), bbh, app(ty_[], bcf)) -> new_esEs13(yu300, yu40000, bcf) new_esEs19(Just(yu300), Just(yu40000), app(ty_Maybe, bfg)) -> new_esEs19(yu300, yu40000, bfg) new_esEs16(LT, LT) -> True new_esEs9(Right(yu300), Right(yu40000), bbh, ty_Char) -> new_esEs12(yu300, yu40000) new_esEs24(yu300, yu40000, app(app(ty_@2, beb), bec)) -> new_esEs6(yu300, yu40000, beb, bec) new_primPlusNat0(Succ(yu3300), Succ(yu40001000)) -> Succ(Succ(new_primPlusNat0(yu3300, yu40001000))) new_esEs22(yu301, yu40001, app(ty_[], gf)) -> new_esEs13(yu301, yu40001, gf) new_esEs22(yu301, yu40001, ty_Int) -> new_esEs17(yu301, yu40001) new_esEs10(@0, @0) -> True new_esEs5(False, True) -> False new_esEs5(True, False) -> False new_esEs21(yu300, yu40000, ty_Char) -> new_esEs12(yu300, yu40000) new_primEqInt(Neg(Succ(yu3000)), Neg(Succ(yu400000))) -> new_primEqNat0(yu3000, yu400000) new_esEs11(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ec, ed, ee) -> new_asAs(new_esEs21(yu300, yu40000, ec), new_asAs(new_esEs22(yu301, yu40001, ed), new_esEs23(yu302, yu40002, ee))) new_esEs20(:%(yu300, yu301), :%(yu40000, yu40001), bga) -> new_asAs(new_esEs25(yu300, yu40000, bga), new_esEs26(yu301, yu40001, bga)) new_esEs19(Just(yu300), Just(yu40000), app(app(app(ty_@3, bfa), bfb), bfc)) -> new_esEs11(yu300, yu40000, bfa, bfb, bfc) new_esEs9(Right(yu300), Right(yu40000), bbh, app(app(ty_@2, bcg), bch)) -> new_esEs6(yu300, yu40000, bcg, bch) new_esEs19(Just(yu300), Just(yu40000), ty_@0) -> new_esEs10(yu300, yu40000) new_esEs13(:(yu300, yu301), [], bdc) -> False new_esEs13([], :(yu40000, yu40001), bdc) -> False new_esEs24(yu300, yu40000, app(app(ty_Either, bdd), bde)) -> new_esEs9(yu300, yu40000, bdd, bde) new_esEs9(Right(yu300), Right(yu40000), bbh, app(app(app(ty_@3, bcc), bcd), bce)) -> new_esEs11(yu300, yu40000, bcc, bcd, bce) new_primMulNat0(Succ(yu30000), Zero) -> Zero new_primMulNat0(Zero, Succ(yu4000100)) -> Zero new_sr(Pos(yu3000), Pos(yu400010)) -> Pos(new_primMulNat0(yu3000, yu400010)) new_esEs24(yu300, yu40000, ty_Char) -> new_esEs12(yu300, yu40000) new_esEs21(yu300, yu40000, ty_Ordering) -> new_esEs16(yu300, yu40000) new_esEs4(yu30, yu4000, ty_Bool) -> new_esEs5(yu30, yu4000) new_primPlusNat1(Succ(yu330), yu4000100) -> Succ(Succ(new_primPlusNat0(yu330, yu4000100))) new_esEs24(yu300, yu40000, ty_Int) -> new_esEs17(yu300, yu40000) new_esEs21(yu300, yu40000, ty_Bool) -> new_esEs5(yu300, yu40000) new_primPlusNat0(Succ(yu3300), Zero) -> Succ(yu3300) new_primPlusNat0(Zero, Succ(yu40001000)) -> Succ(yu40001000) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_primPlusNat1(Zero, yu4000100) -> Succ(yu4000100) new_esEs21(yu300, yu40000, app(app(ty_Either, ef), eg)) -> new_esEs9(yu300, yu40000, ef, eg) new_esEs23(yu302, yu40002, ty_Float) -> new_esEs18(yu302, yu40002) new_esEs8(yu301, yu40001, ty_Int) -> new_esEs17(yu301, yu40001) new_esEs16(LT, GT) -> False new_esEs16(GT, LT) -> False new_esEs8(yu301, yu40001, app(ty_[], df)) -> new_esEs13(yu301, yu40001, df) new_esEs22(yu301, yu40001, ty_Bool) -> new_esEs5(yu301, yu40001) new_esEs8(yu301, yu40001, app(ty_Ratio, eb)) -> new_esEs20(yu301, yu40001, eb) new_esEs24(yu300, yu40000, app(app(app(ty_@3, bdf), bdg), bdh)) -> new_esEs11(yu300, yu40000, bdf, bdg, bdh) new_esEs23(yu302, yu40002, ty_Ordering) -> new_esEs16(yu302, yu40002) new_esEs24(yu300, yu40000, ty_Float) -> new_esEs18(yu300, yu40000) new_esEs17(yu30, yu4000) -> new_primEqInt(yu30, yu4000) new_esEs5(False, False) -> True new_esEs8(yu301, yu40001, app(ty_Maybe, ea)) -> new_esEs19(yu301, yu40001, ea) new_esEs4(yu30, yu4000, ty_Integer) -> new_esEs15(yu30, yu4000) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs7(yu300, yu40000, app(app(ty_@2, cd), ce)) -> new_esEs6(yu300, yu40000, cd, ce) new_esEs9(Left(yu300), Left(yu40000), ty_Double, bag) -> new_esEs14(yu300, yu40000) new_esEs19(Just(yu300), Just(yu40000), ty_Integer) -> new_esEs15(yu300, yu40000) new_esEs21(yu300, yu40000, app(ty_Maybe, fg)) -> new_esEs19(yu300, yu40000, fg) new_esEs26(yu301, yu40001, ty_Int) -> new_esEs17(yu301, yu40001) new_esEs23(yu302, yu40002, ty_Integer) -> new_esEs15(yu302, yu40002) new_primEqNat0(Zero, Zero) -> True new_esEs9(Left(yu300), Left(yu40000), ty_Integer, bag) -> new_esEs15(yu300, yu40000) new_esEs19(Just(yu300), Just(yu40000), ty_Double) -> new_esEs14(yu300, yu40000) new_esEs7(yu300, yu40000, app(ty_Maybe, cf)) -> new_esEs19(yu300, yu40000, cf) new_esEs9(Left(yu300), Left(yu40000), ty_Ordering, bag) -> new_esEs16(yu300, yu40000) new_esEs4(yu30, yu4000, app(ty_Ratio, bga)) -> new_esEs20(yu30, yu4000, bga) new_esEs22(yu301, yu40001, ty_Ordering) -> new_esEs16(yu301, yu40001) new_esEs9(Right(yu300), Right(yu40000), bbh, ty_Float) -> new_esEs18(yu300, yu40000) new_asAs(False, yu32) -> False new_esEs9(Right(yu300), Right(yu40000), bbh, ty_Integer) -> new_esEs15(yu300, yu40000) new_esEs9(Right(yu300), Right(yu40000), bbh, ty_Double) -> new_esEs14(yu300, yu40000) new_esEs7(yu300, yu40000, app(app(ty_Either, bf), bg)) -> new_esEs9(yu300, yu40000, bf, bg) new_esEs19(Just(yu300), Just(yu40000), ty_Float) -> new_esEs18(yu300, yu40000) new_esEs7(yu300, yu40000, ty_@0) -> new_esEs10(yu300, yu40000) new_esEs8(yu301, yu40001, ty_Bool) -> new_esEs5(yu301, yu40001) new_esEs7(yu300, yu40000, ty_Int) -> new_esEs17(yu300, yu40000) new_esEs7(yu300, yu40000, ty_Char) -> new_esEs12(yu300, yu40000) new_esEs7(yu300, yu40000, app(ty_[], cc)) -> new_esEs13(yu300, yu40000, cc) new_esEs9(Right(yu300), Right(yu40000), bbh, app(ty_Ratio, bdb)) -> new_esEs20(yu300, yu40000, bdb) new_esEs4(yu30, yu4000, ty_Ordering) -> new_esEs16(yu30, yu4000) The set Q consists of the following terms: new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_esEs24(x0, x1, app(ty_Ratio, x2)) new_esEs7(x0, x1, ty_@0) new_primPlusNat0(Succ(x0), Zero) new_esEs25(x0, x1, ty_Integer) new_esEs23(x0, x1, ty_Ordering) new_esEs24(x0, x1, ty_Integer) new_esEs9(Right(x0), Right(x1), x2, ty_Char) new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs22(x0, x1, ty_Float) new_primMulNat0(Zero, Zero) new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs9(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs4(x0, x1, ty_Ordering) new_esEs23(x0, x1, ty_Float) new_esEs19(Nothing, Just(x0), x1) new_esEs19(Just(x0), Just(x1), ty_Integer) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs21(x0, x1, ty_Integer) new_esEs13([], :(x0, x1), x2) new_esEs8(x0, x1, ty_Bool) new_esEs9(Left(x0), Left(x1), ty_@0, x2) new_esEs12(Char(x0), Char(x1)) new_esEs19(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_esEs20(:%(x0, x1), :%(x2, x3), x4) new_esEs15(Integer(x0), Integer(x1)) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_esEs16(EQ, EQ) new_esEs9(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs13(:(x0, x1), :(x2, x3), x4) new_esEs4(x0, x1, ty_Float) new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) new_esEs4(x0, x1, app(ty_[], x2)) new_esEs9(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_esEs8(x0, x1, app(app(ty_@2, x2), x3)) new_esEs7(x0, x1, ty_Bool) new_primEqInt(Neg(Zero), Neg(Zero)) new_esEs7(x0, x1, app(app(ty_Either, x2), x3)) new_primPlusNat0(Zero, Zero) new_esEs21(x0, x1, ty_Ordering) new_esEs9(Right(x0), Right(x1), x2, ty_Ordering) new_esEs9(Left(x0), Left(x1), ty_Bool, x2) new_esEs13([], [], x0) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs22(x0, x1, ty_Char) new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) new_esEs9(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs5(False, True) new_esEs5(True, False) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs8(x0, x1, ty_@0) new_esEs9(Left(x0), Left(x1), ty_Int, x2) new_esEs5(True, True) new_primPlusNat1(Zero, x0) new_esEs7(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs24(x0, x1, ty_Ordering) new_esEs19(Just(x0), Just(x1), ty_Ordering) new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs21(x0, x1, app(ty_[], x2)) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs8(x0, x1, ty_Float) new_esEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_sr(Pos(x0), Neg(x1)) new_sr(Neg(x0), Pos(x1)) new_esEs9(Left(x0), Left(x1), ty_Char, x2) new_esEs9(Right(x0), Right(x1), x2, ty_Integer) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primPlusNat0(Succ(x0), Succ(x1)) new_esEs22(x0, x1, ty_Double) new_esEs24(x0, x1, app(ty_Maybe, x2)) new_esEs9(Left(x0), Left(x1), ty_Double, x2) new_esEs26(x0, x1, ty_Integer) new_esEs22(x0, x1, ty_Int) new_esEs6(@2(x0, x1), @2(x2, x3), x4, x5) new_esEs19(Just(x0), Nothing, x1) new_esEs18(Float(x0, x1), Float(x2, x3)) new_esEs24(x0, x1, app(ty_[], x2)) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_esEs17(x0, x1) new_primMulNat0(Succ(x0), Zero) new_esEs7(x0, x1, ty_Integer) new_esEs9(Left(x0), Right(x1), x2, x3) new_esEs9(Right(x0), Left(x1), x2, x3) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs9(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs4(x0, x1, ty_@0) new_esEs24(x0, x1, ty_Char) new_esEs14(Double(x0, x1), Double(x2, x3)) new_esEs22(x0, x1, ty_@0) new_esEs16(LT, GT) new_esEs16(GT, LT) new_esEs7(x0, x1, ty_Double) new_esEs9(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_esEs19(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs25(x0, x1, ty_Int) new_esEs4(x0, x1, ty_Bool) new_esEs7(x0, x1, ty_Ordering) new_primMulNat0(Succ(x0), Succ(x1)) new_esEs24(x0, x1, ty_Int) new_esEs8(x0, x1, ty_Ordering) new_esEs23(x0, x1, ty_Bool) new_primEqNat0(Succ(x0), Succ(x1)) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs22(x0, x1, ty_Bool) new_esEs8(x0, x1, ty_Int) new_esEs23(x0, x1, app(ty_[], x2)) new_esEs23(x0, x1, ty_Integer) new_primEqNat0(Succ(x0), Zero) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_esEs9(Left(x0), Left(x1), ty_Integer, x2) new_esEs8(x0, x1, ty_Double) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_esEs8(x0, x1, ty_Char) new_primPlusNat0(Zero, Succ(x0)) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_primEqNat0(Zero, Succ(x0)) new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) new_esEs9(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_esEs4(x0, x1, ty_Integer) new_esEs19(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs7(x0, x1, app(app(ty_@2, x2), x3)) new_esEs9(Left(x0), Left(x1), ty_Float, x2) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_esEs22(x0, x1, app(ty_[], x2)) new_primMulNat0(Zero, Succ(x0)) new_sr(Pos(x0), Pos(x1)) new_esEs24(x0, x1, ty_@0) new_primEqNat0(Zero, Zero) new_esEs9(Left(x0), Left(x1), ty_Ordering, x2) new_esEs9(Right(x0), Right(x1), x2, ty_Bool) new_esEs19(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs4(x0, x1, ty_Char) new_esEs8(x0, x1, app(app(ty_Either, x2), x3)) new_esEs19(Just(x0), Just(x1), ty_Float) new_esEs16(LT, LT) new_esEs24(x0, x1, ty_Float) new_esEs19(Just(x0), Just(x1), ty_Bool) new_asAs(False, x0) new_esEs7(x0, x1, app(ty_Maybe, x2)) new_esEs19(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs9(Right(x0), Right(x1), x2, ty_Float) new_esEs7(x0, x1, ty_Char) new_esEs9(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs24(x0, x1, ty_Bool) new_sr(Neg(x0), Neg(x1)) new_esEs13(:(x0, x1), [], x2) new_esEs26(x0, x1, ty_Int) new_esEs4(x0, x1, ty_Int) new_esEs21(x0, x1, ty_@0) new_esEs19(Just(x0), Just(x1), app(ty_[], x2)) new_esEs8(x0, x1, app(ty_Ratio, x2)) new_esEs19(Nothing, Nothing, x0) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_esEs21(x0, x1, ty_Float) new_esEs9(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs16(EQ, GT) new_esEs16(GT, EQ) new_esEs22(x0, x1, ty_Integer) new_esEs21(x0, x1, ty_Bool) new_asAs(True, x0) new_esEs7(x0, x1, ty_Int) new_esEs9(Right(x0), Right(x1), x2, ty_Double) new_esEs19(Just(x0), Just(x1), ty_@0) new_esEs7(x0, x1, app(ty_[], x2)) new_esEs9(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs23(x0, x1, ty_@0) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_esEs7(x0, x1, app(ty_Ratio, x2)) new_esEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, ty_Double) new_esEs19(Just(x0), Just(x1), ty_Int) new_esEs21(x0, x1, ty_Int) new_esEs10(@0, @0) new_esEs9(Right(x0), Right(x1), x2, ty_Int) new_esEs22(x0, x1, ty_Ordering) new_esEs23(x0, x1, ty_Char) new_esEs9(Right(x0), Right(x1), x2, ty_@0) new_esEs21(x0, x1, ty_Char) new_esEs19(Just(x0), Just(x1), ty_Char) new_esEs21(x0, x1, ty_Double) new_primPlusNat1(Succ(x0), x1) new_esEs9(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs8(x0, x1, ty_Integer) new_esEs16(LT, EQ) new_esEs16(EQ, LT) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs8(x0, x1, app(ty_[], x2)) new_esEs7(x0, x1, ty_Float) new_esEs9(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs4(x0, x1, ty_Double) new_esEs24(x0, x1, ty_Double) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs4(x0, x1, app(ty_Ratio, x2)) new_esEs5(False, False) new_esEs4(x0, x1, app(ty_Maybe, x2)) new_esEs16(GT, GT) new_esEs19(Just(x0), Just(x1), ty_Double) new_esEs23(x0, x1, ty_Int) new_esEs8(x0, x1, app(ty_Maybe, x2)) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (17) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_lookup1(yu11, yu12, yu13, yu14, False, bb, bc) -> new_lookup(Just(yu11), yu14, bb, bc) The graph contains the following edges 4 >= 2, 6 >= 3, 7 >= 4 *new_lookup(Just(yu30), :(@2(Nothing, yu401), yu41), h, ba) -> new_lookup(Just(yu30), yu41, h, ba) The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3, 4 >= 4 *new_lookup(Just(yu30), :(@2(Just(yu4000), yu401), yu41), h, ba) -> new_lookup1(yu30, yu4000, yu401, yu41, new_esEs4(yu30, yu4000, ba), h, ba) The graph contains the following edges 1 > 1, 2 > 2, 2 > 3, 2 > 4, 3 >= 6, 4 >= 7 ---------------------------------------- (18) YES ---------------------------------------- (19) Obligation: Q DP problem: The TRS P consists of the following rules: new_primMulNat(Succ(yu30000), Succ(yu4000100)) -> new_primMulNat(yu30000, Succ(yu4000100)) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (20) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primMulNat(Succ(yu30000), Succ(yu4000100)) -> new_primMulNat(yu30000, Succ(yu4000100)) The graph contains the following edges 1 > 1, 2 >= 2 ---------------------------------------- (21) YES ---------------------------------------- (22) Obligation: Q DP problem: The TRS P consists of the following rules: new_primPlusNat(Succ(yu3300), Succ(yu40001000)) -> new_primPlusNat(yu3300, yu40001000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (23) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primPlusNat(Succ(yu3300), Succ(yu40001000)) -> new_primPlusNat(yu3300, yu40001000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (24) YES ---------------------------------------- (25) Obligation: Q DP problem: The TRS P consists of the following rules: new_primEqNat(Succ(yu3000), Succ(yu400000)) -> new_primEqNat(yu3000, yu400000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (26) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primEqNat(Succ(yu3000), Succ(yu400000)) -> new_primEqNat(yu3000, yu400000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (27) YES