/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.hs /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4) HASKELL (5) Narrow [SOUND, 0 ms] (6) AND (7) QDP (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] (9) YES (10) QDP (11) QDPSizeChangeProof [EQUIVALENT, 0 ms] (12) YES (13) QDP (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] (15) YES (16) QDP (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] (18) YES ---------------------------------------- (0) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (1) BR (EQUIVALENT) Replaced joker patterns by fresh variables and removed binding patterns. ---------------------------------------- (2) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (3) COR (EQUIVALENT) Cond Reductions: The following Function with conditions "undefined |Falseundefined; " is transformed to "undefined = undefined1; " "undefined0 True = undefined; " "undefined1 = undefined0 False; " ---------------------------------------- (4) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (5) Narrow (SOUND) Haskell To QDPs digraph dp_graph { node [outthreshold=100, inthreshold=100];1[label="(/=)",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 3[label="(/=) xv3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 4[label="(/=) xv3 xv4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3]; 5 -> 95[label="",style="dashed", color="red", weight=0]; 5[label="not (xv3 == xv4)",fontsize=16,color="magenta"];5 -> 96[label="",style="dashed", color="magenta", weight=3]; 96[label="xv3 == xv4",fontsize=16,color="burlywood",shape="triangle"];703[label="xv3/xv30 : xv31",fontsize=10,color="white",style="solid",shape="box"];96 -> 703[label="",style="solid", color="burlywood", weight=9]; 703 -> 104[label="",style="solid", color="burlywood", weight=3]; 704[label="xv3/[]",fontsize=10,color="white",style="solid",shape="box"];96 -> 704[label="",style="solid", color="burlywood", weight=9]; 704 -> 105[label="",style="solid", color="burlywood", weight=3]; 95[label="not xv14",fontsize=16,color="burlywood",shape="triangle"];705[label="xv14/False",fontsize=10,color="white",style="solid",shape="box"];95 -> 705[label="",style="solid", color="burlywood", weight=9]; 705 -> 106[label="",style="solid", color="burlywood", weight=3]; 706[label="xv14/True",fontsize=10,color="white",style="solid",shape="box"];95 -> 706[label="",style="solid", color="burlywood", weight=9]; 706 -> 107[label="",style="solid", color="burlywood", weight=3]; 104[label="xv30 : xv31 == xv4",fontsize=16,color="burlywood",shape="box"];707[label="xv4/xv40 : xv41",fontsize=10,color="white",style="solid",shape="box"];104 -> 707[label="",style="solid", color="burlywood", weight=9]; 707 -> 108[label="",style="solid", color="burlywood", weight=3]; 708[label="xv4/[]",fontsize=10,color="white",style="solid",shape="box"];104 -> 708[label="",style="solid", color="burlywood", weight=9]; 708 -> 109[label="",style="solid", color="burlywood", weight=3]; 105[label="[] == xv4",fontsize=16,color="burlywood",shape="box"];709[label="xv4/xv40 : xv41",fontsize=10,color="white",style="solid",shape="box"];105 -> 709[label="",style="solid", color="burlywood", weight=9]; 709 -> 110[label="",style="solid", color="burlywood", weight=3]; 710[label="xv4/[]",fontsize=10,color="white",style="solid",shape="box"];105 -> 710[label="",style="solid", color="burlywood", weight=9]; 710 -> 111[label="",style="solid", color="burlywood", weight=3]; 106[label="not False",fontsize=16,color="black",shape="box"];106 -> 112[label="",style="solid", color="black", weight=3]; 107[label="not True",fontsize=16,color="black",shape="box"];107 -> 113[label="",style="solid", color="black", weight=3]; 108[label="xv30 : xv31 == xv40 : xv41",fontsize=16,color="black",shape="box"];108 -> 114[label="",style="solid", color="black", weight=3]; 109[label="xv30 : xv31 == []",fontsize=16,color="black",shape="box"];109 -> 115[label="",style="solid", color="black", weight=3]; 110[label="[] == xv40 : xv41",fontsize=16,color="black",shape="box"];110 -> 116[label="",style="solid", color="black", weight=3]; 111[label="[] == []",fontsize=16,color="black",shape="box"];111 -> 117[label="",style="solid", color="black", weight=3]; 112[label="True",fontsize=16,color="green",shape="box"];113[label="False",fontsize=16,color="green",shape="box"];114 -> 122[label="",style="dashed", color="red", weight=0]; 114[label="xv30 == xv40 && xv31 == xv41",fontsize=16,color="magenta"];114 -> 123[label="",style="dashed", color="magenta", weight=3]; 114 -> 124[label="",style="dashed", color="magenta", weight=3]; 115[label="False",fontsize=16,color="green",shape="box"];116[label="False",fontsize=16,color="green",shape="box"];117[label="True",fontsize=16,color="green",shape="box"];123[label="xv30 == xv40",fontsize=16,color="blue",shape="box"];711[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];123 -> 711[label="",style="solid", color="blue", weight=9]; 711 -> 127[label="",style="solid", color="blue", weight=3]; 712[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];123 -> 712[label="",style="solid", color="blue", weight=9]; 712 -> 128[label="",style="solid", color="blue", weight=3]; 713[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];123 -> 713[label="",style="solid", color="blue", weight=9]; 713 -> 129[label="",style="solid", color="blue", weight=3]; 714[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];123 -> 714[label="",style="solid", color="blue", weight=9]; 714 -> 130[label="",style="solid", color="blue", weight=3]; 715[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];123 -> 715[label="",style="solid", color="blue", weight=9]; 715 -> 131[label="",style="solid", color="blue", weight=3]; 716[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];123 -> 716[label="",style="solid", color="blue", weight=9]; 716 -> 132[label="",style="solid", color="blue", weight=3]; 717[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];123 -> 717[label="",style="solid", color="blue", weight=9]; 717 -> 133[label="",style="solid", color="blue", weight=3]; 718[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];123 -> 718[label="",style="solid", color="blue", weight=9]; 718 -> 134[label="",style="solid", color="blue", weight=3]; 719[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];123 -> 719[label="",style="solid", color="blue", weight=9]; 719 -> 135[label="",style="solid", color="blue", weight=3]; 720[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];123 -> 720[label="",style="solid", color="blue", weight=9]; 720 -> 136[label="",style="solid", color="blue", weight=3]; 721[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];123 -> 721[label="",style="solid", color="blue", weight=9]; 721 -> 137[label="",style="solid", color="blue", weight=3]; 722[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];123 -> 722[label="",style="solid", color="blue", weight=9]; 722 -> 138[label="",style="solid", color="blue", weight=3]; 723[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];123 -> 723[label="",style="solid", color="blue", weight=9]; 723 -> 139[label="",style="solid", color="blue", weight=3]; 724[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];123 -> 724[label="",style="solid", color="blue", weight=9]; 724 -> 140[label="",style="solid", color="blue", weight=3]; 124 -> 96[label="",style="dashed", color="red", weight=0]; 124[label="xv31 == xv41",fontsize=16,color="magenta"];124 -> 141[label="",style="dashed", color="magenta", weight=3]; 124 -> 142[label="",style="dashed", color="magenta", weight=3]; 122[label="xv19 && xv20",fontsize=16,color="burlywood",shape="triangle"];725[label="xv19/False",fontsize=10,color="white",style="solid",shape="box"];122 -> 725[label="",style="solid", color="burlywood", weight=9]; 725 -> 143[label="",style="solid", color="burlywood", weight=3]; 726[label="xv19/True",fontsize=10,color="white",style="solid",shape="box"];122 -> 726[label="",style="solid", color="burlywood", weight=9]; 726 -> 144[label="",style="solid", color="burlywood", weight=3]; 127[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];127 -> 145[label="",style="solid", color="black", weight=3]; 128 -> 96[label="",style="dashed", color="red", weight=0]; 128[label="xv30 == xv40",fontsize=16,color="magenta"];128 -> 146[label="",style="dashed", color="magenta", weight=3]; 128 -> 147[label="",style="dashed", color="magenta", weight=3]; 129[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];727[label="xv30/(xv300,xv301,xv302)",fontsize=10,color="white",style="solid",shape="box"];129 -> 727[label="",style="solid", color="burlywood", weight=9]; 727 -> 148[label="",style="solid", color="burlywood", weight=3]; 130[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];728[label="xv30/()",fontsize=10,color="white",style="solid",shape="box"];130 -> 728[label="",style="solid", color="burlywood", weight=9]; 728 -> 149[label="",style="solid", color="burlywood", weight=3]; 131[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];729[label="xv30/LT",fontsize=10,color="white",style="solid",shape="box"];131 -> 729[label="",style="solid", color="burlywood", weight=9]; 729 -> 150[label="",style="solid", color="burlywood", weight=3]; 730[label="xv30/EQ",fontsize=10,color="white",style="solid",shape="box"];131 -> 730[label="",style="solid", color="burlywood", weight=9]; 730 -> 151[label="",style="solid", color="burlywood", weight=3]; 731[label="xv30/GT",fontsize=10,color="white",style="solid",shape="box"];131 -> 731[label="",style="solid", color="burlywood", weight=9]; 731 -> 152[label="",style="solid", color="burlywood", weight=3]; 132[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];132 -> 153[label="",style="solid", color="black", weight=3]; 133[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];732[label="xv30/False",fontsize=10,color="white",style="solid",shape="box"];133 -> 732[label="",style="solid", color="burlywood", weight=9]; 732 -> 154[label="",style="solid", color="burlywood", weight=3]; 733[label="xv30/True",fontsize=10,color="white",style="solid",shape="box"];133 -> 733[label="",style="solid", color="burlywood", weight=9]; 733 -> 155[label="",style="solid", color="burlywood", weight=3]; 134[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];734[label="xv30/Left xv300",fontsize=10,color="white",style="solid",shape="box"];134 -> 734[label="",style="solid", color="burlywood", weight=9]; 734 -> 156[label="",style="solid", color="burlywood", weight=3]; 735[label="xv30/Right xv300",fontsize=10,color="white",style="solid",shape="box"];134 -> 735[label="",style="solid", color="burlywood", weight=9]; 735 -> 157[label="",style="solid", color="burlywood", weight=3]; 135[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];736[label="xv30/Integer xv300",fontsize=10,color="white",style="solid",shape="box"];135 -> 736[label="",style="solid", color="burlywood", weight=9]; 736 -> 158[label="",style="solid", color="burlywood", weight=3]; 136[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];737[label="xv30/(xv300,xv301)",fontsize=10,color="white",style="solid",shape="box"];136 -> 737[label="",style="solid", color="burlywood", weight=9]; 737 -> 159[label="",style="solid", color="burlywood", weight=3]; 137[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];137 -> 160[label="",style="solid", color="black", weight=3]; 138[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];738[label="xv30/xv300 :% xv301",fontsize=10,color="white",style="solid",shape="box"];138 -> 738[label="",style="solid", color="burlywood", weight=9]; 738 -> 161[label="",style="solid", color="burlywood", weight=3]; 139[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];739[label="xv30/Nothing",fontsize=10,color="white",style="solid",shape="box"];139 -> 739[label="",style="solid", color="burlywood", weight=9]; 739 -> 162[label="",style="solid", color="burlywood", weight=3]; 740[label="xv30/Just xv300",fontsize=10,color="white",style="solid",shape="box"];139 -> 740[label="",style="solid", color="burlywood", weight=9]; 740 -> 163[label="",style="solid", color="burlywood", weight=3]; 140[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];140 -> 164[label="",style="solid", color="black", weight=3]; 141[label="xv41",fontsize=16,color="green",shape="box"];142[label="xv31",fontsize=16,color="green",shape="box"];143[label="False && xv20",fontsize=16,color="black",shape="box"];143 -> 165[label="",style="solid", color="black", weight=3]; 144[label="True && xv20",fontsize=16,color="black",shape="box"];144 -> 166[label="",style="solid", color="black", weight=3]; 145[label="primEqDouble xv30 xv40",fontsize=16,color="burlywood",shape="box"];741[label="xv30/Double xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];145 -> 741[label="",style="solid", color="burlywood", weight=9]; 741 -> 167[label="",style="solid", color="burlywood", weight=3]; 146[label="xv40",fontsize=16,color="green",shape="box"];147[label="xv30",fontsize=16,color="green",shape="box"];148[label="(xv300,xv301,xv302) == xv40",fontsize=16,color="burlywood",shape="box"];742[label="xv40/(xv400,xv401,xv402)",fontsize=10,color="white",style="solid",shape="box"];148 -> 742[label="",style="solid", color="burlywood", weight=9]; 742 -> 168[label="",style="solid", color="burlywood", weight=3]; 149[label="() == xv40",fontsize=16,color="burlywood",shape="box"];743[label="xv40/()",fontsize=10,color="white",style="solid",shape="box"];149 -> 743[label="",style="solid", color="burlywood", weight=9]; 743 -> 169[label="",style="solid", color="burlywood", weight=3]; 150[label="LT == xv40",fontsize=16,color="burlywood",shape="box"];744[label="xv40/LT",fontsize=10,color="white",style="solid",shape="box"];150 -> 744[label="",style="solid", color="burlywood", weight=9]; 744 -> 170[label="",style="solid", color="burlywood", weight=3]; 745[label="xv40/EQ",fontsize=10,color="white",style="solid",shape="box"];150 -> 745[label="",style="solid", color="burlywood", weight=9]; 745 -> 171[label="",style="solid", color="burlywood", weight=3]; 746[label="xv40/GT",fontsize=10,color="white",style="solid",shape="box"];150 -> 746[label="",style="solid", color="burlywood", weight=9]; 746 -> 172[label="",style="solid", color="burlywood", weight=3]; 151[label="EQ == xv40",fontsize=16,color="burlywood",shape="box"];747[label="xv40/LT",fontsize=10,color="white",style="solid",shape="box"];151 -> 747[label="",style="solid", color="burlywood", weight=9]; 747 -> 173[label="",style="solid", color="burlywood", weight=3]; 748[label="xv40/EQ",fontsize=10,color="white",style="solid",shape="box"];151 -> 748[label="",style="solid", color="burlywood", weight=9]; 748 -> 174[label="",style="solid", color="burlywood", weight=3]; 749[label="xv40/GT",fontsize=10,color="white",style="solid",shape="box"];151 -> 749[label="",style="solid", color="burlywood", weight=9]; 749 -> 175[label="",style="solid", color="burlywood", weight=3]; 152[label="GT == xv40",fontsize=16,color="burlywood",shape="box"];750[label="xv40/LT",fontsize=10,color="white",style="solid",shape="box"];152 -> 750[label="",style="solid", color="burlywood", weight=9]; 750 -> 176[label="",style="solid", color="burlywood", weight=3]; 751[label="xv40/EQ",fontsize=10,color="white",style="solid",shape="box"];152 -> 751[label="",style="solid", color="burlywood", weight=9]; 751 -> 177[label="",style="solid", color="burlywood", weight=3]; 752[label="xv40/GT",fontsize=10,color="white",style="solid",shape="box"];152 -> 752[label="",style="solid", color="burlywood", weight=9]; 752 -> 178[label="",style="solid", color="burlywood", weight=3]; 153[label="primEqChar xv30 xv40",fontsize=16,color="burlywood",shape="box"];753[label="xv30/Char xv300",fontsize=10,color="white",style="solid",shape="box"];153 -> 753[label="",style="solid", color="burlywood", weight=9]; 753 -> 179[label="",style="solid", color="burlywood", weight=3]; 154[label="False == xv40",fontsize=16,color="burlywood",shape="box"];754[label="xv40/False",fontsize=10,color="white",style="solid",shape="box"];154 -> 754[label="",style="solid", color="burlywood", weight=9]; 754 -> 180[label="",style="solid", color="burlywood", weight=3]; 755[label="xv40/True",fontsize=10,color="white",style="solid",shape="box"];154 -> 755[label="",style="solid", color="burlywood", weight=9]; 755 -> 181[label="",style="solid", color="burlywood", weight=3]; 155[label="True == xv40",fontsize=16,color="burlywood",shape="box"];756[label="xv40/False",fontsize=10,color="white",style="solid",shape="box"];155 -> 756[label="",style="solid", color="burlywood", weight=9]; 756 -> 182[label="",style="solid", color="burlywood", weight=3]; 757[label="xv40/True",fontsize=10,color="white",style="solid",shape="box"];155 -> 757[label="",style="solid", color="burlywood", weight=9]; 757 -> 183[label="",style="solid", color="burlywood", weight=3]; 156[label="Left xv300 == xv40",fontsize=16,color="burlywood",shape="box"];758[label="xv40/Left xv400",fontsize=10,color="white",style="solid",shape="box"];156 -> 758[label="",style="solid", color="burlywood", weight=9]; 758 -> 184[label="",style="solid", color="burlywood", weight=3]; 759[label="xv40/Right xv400",fontsize=10,color="white",style="solid",shape="box"];156 -> 759[label="",style="solid", color="burlywood", weight=9]; 759 -> 185[label="",style="solid", color="burlywood", weight=3]; 157[label="Right xv300 == xv40",fontsize=16,color="burlywood",shape="box"];760[label="xv40/Left xv400",fontsize=10,color="white",style="solid",shape="box"];157 -> 760[label="",style="solid", color="burlywood", weight=9]; 760 -> 186[label="",style="solid", color="burlywood", weight=3]; 761[label="xv40/Right xv400",fontsize=10,color="white",style="solid",shape="box"];157 -> 761[label="",style="solid", color="burlywood", weight=9]; 761 -> 187[label="",style="solid", color="burlywood", weight=3]; 158[label="Integer xv300 == xv40",fontsize=16,color="burlywood",shape="box"];762[label="xv40/Integer xv400",fontsize=10,color="white",style="solid",shape="box"];158 -> 762[label="",style="solid", color="burlywood", weight=9]; 762 -> 188[label="",style="solid", color="burlywood", weight=3]; 159[label="(xv300,xv301) == xv40",fontsize=16,color="burlywood",shape="box"];763[label="xv40/(xv400,xv401)",fontsize=10,color="white",style="solid",shape="box"];159 -> 763[label="",style="solid", color="burlywood", weight=9]; 763 -> 189[label="",style="solid", color="burlywood", weight=3]; 160[label="primEqFloat xv30 xv40",fontsize=16,color="burlywood",shape="box"];764[label="xv30/Float xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];160 -> 764[label="",style="solid", color="burlywood", weight=9]; 764 -> 190[label="",style="solid", color="burlywood", weight=3]; 161[label="xv300 :% xv301 == xv40",fontsize=16,color="burlywood",shape="box"];765[label="xv40/xv400 :% xv401",fontsize=10,color="white",style="solid",shape="box"];161 -> 765[label="",style="solid", color="burlywood", weight=9]; 765 -> 191[label="",style="solid", color="burlywood", weight=3]; 162[label="Nothing == xv40",fontsize=16,color="burlywood",shape="box"];766[label="xv40/Nothing",fontsize=10,color="white",style="solid",shape="box"];162 -> 766[label="",style="solid", color="burlywood", weight=9]; 766 -> 192[label="",style="solid", color="burlywood", weight=3]; 767[label="xv40/Just xv400",fontsize=10,color="white",style="solid",shape="box"];162 -> 767[label="",style="solid", color="burlywood", weight=9]; 767 -> 193[label="",style="solid", color="burlywood", weight=3]; 163[label="Just xv300 == xv40",fontsize=16,color="burlywood",shape="box"];768[label="xv40/Nothing",fontsize=10,color="white",style="solid",shape="box"];163 -> 768[label="",style="solid", color="burlywood", weight=9]; 768 -> 194[label="",style="solid", color="burlywood", weight=3]; 769[label="xv40/Just xv400",fontsize=10,color="white",style="solid",shape="box"];163 -> 769[label="",style="solid", color="burlywood", weight=9]; 769 -> 195[label="",style="solid", color="burlywood", weight=3]; 164[label="primEqInt xv30 xv40",fontsize=16,color="burlywood",shape="triangle"];770[label="xv30/Pos xv300",fontsize=10,color="white",style="solid",shape="box"];164 -> 770[label="",style="solid", color="burlywood", weight=9]; 770 -> 196[label="",style="solid", color="burlywood", weight=3]; 771[label="xv30/Neg xv300",fontsize=10,color="white",style="solid",shape="box"];164 -> 771[label="",style="solid", color="burlywood", weight=9]; 771 -> 197[label="",style="solid", color="burlywood", weight=3]; 165[label="False",fontsize=16,color="green",shape="box"];166[label="xv20",fontsize=16,color="green",shape="box"];167[label="primEqDouble (Double xv300 xv301) xv40",fontsize=16,color="burlywood",shape="box"];772[label="xv40/Double xv400 xv401",fontsize=10,color="white",style="solid",shape="box"];167 -> 772[label="",style="solid", color="burlywood", weight=9]; 772 -> 198[label="",style="solid", color="burlywood", weight=3]; 168[label="(xv300,xv301,xv302) == (xv400,xv401,xv402)",fontsize=16,color="black",shape="box"];168 -> 199[label="",style="solid", color="black", weight=3]; 169[label="() == ()",fontsize=16,color="black",shape="box"];169 -> 200[label="",style="solid", color="black", weight=3]; 170[label="LT == LT",fontsize=16,color="black",shape="box"];170 -> 201[label="",style="solid", color="black", weight=3]; 171[label="LT == EQ",fontsize=16,color="black",shape="box"];171 -> 202[label="",style="solid", color="black", weight=3]; 172[label="LT == GT",fontsize=16,color="black",shape="box"];172 -> 203[label="",style="solid", color="black", weight=3]; 173[label="EQ == LT",fontsize=16,color="black",shape="box"];173 -> 204[label="",style="solid", color="black", weight=3]; 174[label="EQ == EQ",fontsize=16,color="black",shape="box"];174 -> 205[label="",style="solid", color="black", weight=3]; 175[label="EQ == GT",fontsize=16,color="black",shape="box"];175 -> 206[label="",style="solid", color="black", weight=3]; 176[label="GT == LT",fontsize=16,color="black",shape="box"];176 -> 207[label="",style="solid", color="black", weight=3]; 177[label="GT == EQ",fontsize=16,color="black",shape="box"];177 -> 208[label="",style="solid", color="black", weight=3]; 178[label="GT == GT",fontsize=16,color="black",shape="box"];178 -> 209[label="",style="solid", color="black", weight=3]; 179[label="primEqChar (Char xv300) xv40",fontsize=16,color="burlywood",shape="box"];773[label="xv40/Char xv400",fontsize=10,color="white",style="solid",shape="box"];179 -> 773[label="",style="solid", color="burlywood", weight=9]; 773 -> 210[label="",style="solid", color="burlywood", weight=3]; 180[label="False == False",fontsize=16,color="black",shape="box"];180 -> 211[label="",style="solid", color="black", weight=3]; 181[label="False == True",fontsize=16,color="black",shape="box"];181 -> 212[label="",style="solid", color="black", weight=3]; 182[label="True == False",fontsize=16,color="black",shape="box"];182 -> 213[label="",style="solid", color="black", weight=3]; 183[label="True == True",fontsize=16,color="black",shape="box"];183 -> 214[label="",style="solid", color="black", weight=3]; 184[label="Left xv300 == Left xv400",fontsize=16,color="black",shape="box"];184 -> 215[label="",style="solid", color="black", weight=3]; 185[label="Left xv300 == Right xv400",fontsize=16,color="black",shape="box"];185 -> 216[label="",style="solid", color="black", weight=3]; 186[label="Right xv300 == Left xv400",fontsize=16,color="black",shape="box"];186 -> 217[label="",style="solid", color="black", weight=3]; 187[label="Right xv300 == Right xv400",fontsize=16,color="black",shape="box"];187 -> 218[label="",style="solid", color="black", weight=3]; 188[label="Integer xv300 == Integer xv400",fontsize=16,color="black",shape="box"];188 -> 219[label="",style="solid", color="black", weight=3]; 189[label="(xv300,xv301) == (xv400,xv401)",fontsize=16,color="black",shape="box"];189 -> 220[label="",style="solid", color="black", weight=3]; 190[label="primEqFloat (Float xv300 xv301) xv40",fontsize=16,color="burlywood",shape="box"];774[label="xv40/Float xv400 xv401",fontsize=10,color="white",style="solid",shape="box"];190 -> 774[label="",style="solid", color="burlywood", weight=9]; 774 -> 221[label="",style="solid", color="burlywood", weight=3]; 191[label="xv300 :% xv301 == xv400 :% xv401",fontsize=16,color="black",shape="box"];191 -> 222[label="",style="solid", color="black", weight=3]; 192[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];192 -> 223[label="",style="solid", color="black", weight=3]; 193[label="Nothing == Just xv400",fontsize=16,color="black",shape="box"];193 -> 224[label="",style="solid", color="black", weight=3]; 194[label="Just xv300 == Nothing",fontsize=16,color="black",shape="box"];194 -> 225[label="",style="solid", color="black", weight=3]; 195[label="Just xv300 == Just xv400",fontsize=16,color="black",shape="box"];195 -> 226[label="",style="solid", color="black", weight=3]; 196[label="primEqInt (Pos xv300) xv40",fontsize=16,color="burlywood",shape="box"];775[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];196 -> 775[label="",style="solid", color="burlywood", weight=9]; 775 -> 227[label="",style="solid", color="burlywood", weight=3]; 776[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];196 -> 776[label="",style="solid", color="burlywood", weight=9]; 776 -> 228[label="",style="solid", color="burlywood", weight=3]; 197[label="primEqInt (Neg xv300) xv40",fontsize=16,color="burlywood",shape="box"];777[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];197 -> 777[label="",style="solid", color="burlywood", weight=9]; 777 -> 229[label="",style="solid", color="burlywood", weight=3]; 778[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];197 -> 778[label="",style="solid", color="burlywood", weight=9]; 778 -> 230[label="",style="solid", color="burlywood", weight=3]; 198[label="primEqDouble (Double xv300 xv301) (Double xv400 xv401)",fontsize=16,color="black",shape="box"];198 -> 231[label="",style="solid", color="black", weight=3]; 199 -> 122[label="",style="dashed", color="red", weight=0]; 199[label="xv300 == xv400 && xv301 == xv401 && xv302 == xv402",fontsize=16,color="magenta"];199 -> 232[label="",style="dashed", color="magenta", weight=3]; 199 -> 233[label="",style="dashed", color="magenta", weight=3]; 200[label="True",fontsize=16,color="green",shape="box"];201[label="True",fontsize=16,color="green",shape="box"];202[label="False",fontsize=16,color="green",shape="box"];203[label="False",fontsize=16,color="green",shape="box"];204[label="False",fontsize=16,color="green",shape="box"];205[label="True",fontsize=16,color="green",shape="box"];206[label="False",fontsize=16,color="green",shape="box"];207[label="False",fontsize=16,color="green",shape="box"];208[label="False",fontsize=16,color="green",shape="box"];209[label="True",fontsize=16,color="green",shape="box"];210[label="primEqChar (Char xv300) (Char xv400)",fontsize=16,color="black",shape="box"];210 -> 234[label="",style="solid", color="black", weight=3]; 211[label="True",fontsize=16,color="green",shape="box"];212[label="False",fontsize=16,color="green",shape="box"];213[label="False",fontsize=16,color="green",shape="box"];214[label="True",fontsize=16,color="green",shape="box"];215[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];779[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];215 -> 779[label="",style="solid", color="blue", weight=9]; 779 -> 235[label="",style="solid", color="blue", weight=3]; 780[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];215 -> 780[label="",style="solid", color="blue", weight=9]; 780 -> 236[label="",style="solid", color="blue", weight=3]; 781[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];215 -> 781[label="",style="solid", color="blue", weight=9]; 781 -> 237[label="",style="solid", color="blue", weight=3]; 782[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];215 -> 782[label="",style="solid", color="blue", weight=9]; 782 -> 238[label="",style="solid", color="blue", weight=3]; 783[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];215 -> 783[label="",style="solid", color="blue", weight=9]; 783 -> 239[label="",style="solid", color="blue", weight=3]; 784[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];215 -> 784[label="",style="solid", color="blue", weight=9]; 784 -> 240[label="",style="solid", color="blue", weight=3]; 785[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];215 -> 785[label="",style="solid", color="blue", weight=9]; 785 -> 241[label="",style="solid", color="blue", weight=3]; 786[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];215 -> 786[label="",style="solid", color="blue", weight=9]; 786 -> 242[label="",style="solid", color="blue", weight=3]; 787[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];215 -> 787[label="",style="solid", color="blue", weight=9]; 787 -> 243[label="",style="solid", color="blue", weight=3]; 788[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];215 -> 788[label="",style="solid", color="blue", weight=9]; 788 -> 244[label="",style="solid", color="blue", weight=3]; 789[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];215 -> 789[label="",style="solid", color="blue", weight=9]; 789 -> 245[label="",style="solid", color="blue", weight=3]; 790[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];215 -> 790[label="",style="solid", color="blue", weight=9]; 790 -> 246[label="",style="solid", color="blue", weight=3]; 791[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];215 -> 791[label="",style="solid", color="blue", weight=9]; 791 -> 247[label="",style="solid", color="blue", weight=3]; 792[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];215 -> 792[label="",style="solid", color="blue", weight=9]; 792 -> 248[label="",style="solid", color="blue", weight=3]; 216[label="False",fontsize=16,color="green",shape="box"];217[label="False",fontsize=16,color="green",shape="box"];218[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];793[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];218 -> 793[label="",style="solid", color="blue", weight=9]; 793 -> 249[label="",style="solid", color="blue", weight=3]; 794[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];218 -> 794[label="",style="solid", color="blue", weight=9]; 794 -> 250[label="",style="solid", color="blue", weight=3]; 795[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];218 -> 795[label="",style="solid", color="blue", weight=9]; 795 -> 251[label="",style="solid", color="blue", weight=3]; 796[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];218 -> 796[label="",style="solid", color="blue", weight=9]; 796 -> 252[label="",style="solid", color="blue", weight=3]; 797[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];218 -> 797[label="",style="solid", color="blue", weight=9]; 797 -> 253[label="",style="solid", color="blue", weight=3]; 798[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];218 -> 798[label="",style="solid", color="blue", weight=9]; 798 -> 254[label="",style="solid", color="blue", weight=3]; 799[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];218 -> 799[label="",style="solid", color="blue", weight=9]; 799 -> 255[label="",style="solid", color="blue", weight=3]; 800[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];218 -> 800[label="",style="solid", color="blue", weight=9]; 800 -> 256[label="",style="solid", color="blue", weight=3]; 801[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];218 -> 801[label="",style="solid", color="blue", weight=9]; 801 -> 257[label="",style="solid", color="blue", weight=3]; 802[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];218 -> 802[label="",style="solid", color="blue", weight=9]; 802 -> 258[label="",style="solid", color="blue", weight=3]; 803[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];218 -> 803[label="",style="solid", color="blue", weight=9]; 803 -> 259[label="",style="solid", color="blue", weight=3]; 804[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];218 -> 804[label="",style="solid", color="blue", weight=9]; 804 -> 260[label="",style="solid", color="blue", weight=3]; 805[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];218 -> 805[label="",style="solid", color="blue", weight=9]; 805 -> 261[label="",style="solid", color="blue", weight=3]; 806[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];218 -> 806[label="",style="solid", color="blue", weight=9]; 806 -> 262[label="",style="solid", color="blue", weight=3]; 219 -> 164[label="",style="dashed", color="red", weight=0]; 219[label="primEqInt xv300 xv400",fontsize=16,color="magenta"];219 -> 263[label="",style="dashed", color="magenta", weight=3]; 219 -> 264[label="",style="dashed", color="magenta", weight=3]; 220 -> 122[label="",style="dashed", color="red", weight=0]; 220[label="xv300 == xv400 && xv301 == xv401",fontsize=16,color="magenta"];220 -> 265[label="",style="dashed", color="magenta", weight=3]; 220 -> 266[label="",style="dashed", color="magenta", weight=3]; 221[label="primEqFloat (Float xv300 xv301) (Float xv400 xv401)",fontsize=16,color="black",shape="box"];221 -> 267[label="",style="solid", color="black", weight=3]; 222 -> 122[label="",style="dashed", color="red", weight=0]; 222[label="xv300 == xv400 && xv301 == xv401",fontsize=16,color="magenta"];222 -> 268[label="",style="dashed", color="magenta", weight=3]; 222 -> 269[label="",style="dashed", color="magenta", weight=3]; 223[label="True",fontsize=16,color="green",shape="box"];224[label="False",fontsize=16,color="green",shape="box"];225[label="False",fontsize=16,color="green",shape="box"];226[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];807[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 807[label="",style="solid", color="blue", weight=9]; 807 -> 270[label="",style="solid", color="blue", weight=3]; 808[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 808[label="",style="solid", color="blue", weight=9]; 808 -> 271[label="",style="solid", color="blue", weight=3]; 809[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 809[label="",style="solid", color="blue", weight=9]; 809 -> 272[label="",style="solid", color="blue", weight=3]; 810[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 810[label="",style="solid", color="blue", weight=9]; 810 -> 273[label="",style="solid", color="blue", weight=3]; 811[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 811[label="",style="solid", color="blue", weight=9]; 811 -> 274[label="",style="solid", color="blue", weight=3]; 812[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 812[label="",style="solid", color="blue", weight=9]; 812 -> 275[label="",style="solid", color="blue", weight=3]; 813[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 813[label="",style="solid", color="blue", weight=9]; 813 -> 276[label="",style="solid", color="blue", weight=3]; 814[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 814[label="",style="solid", color="blue", weight=9]; 814 -> 277[label="",style="solid", color="blue", weight=3]; 815[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 815[label="",style="solid", color="blue", weight=9]; 815 -> 278[label="",style="solid", color="blue", weight=3]; 816[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 816[label="",style="solid", color="blue", weight=9]; 816 -> 279[label="",style="solid", color="blue", weight=3]; 817[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 817[label="",style="solid", color="blue", weight=9]; 817 -> 280[label="",style="solid", color="blue", weight=3]; 818[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 818[label="",style="solid", color="blue", weight=9]; 818 -> 281[label="",style="solid", color="blue", weight=3]; 819[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 819[label="",style="solid", color="blue", weight=9]; 819 -> 282[label="",style="solid", color="blue", weight=3]; 820[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 820[label="",style="solid", color="blue", weight=9]; 820 -> 283[label="",style="solid", color="blue", weight=3]; 227[label="primEqInt (Pos (Succ xv3000)) xv40",fontsize=16,color="burlywood",shape="box"];821[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];227 -> 821[label="",style="solid", color="burlywood", weight=9]; 821 -> 284[label="",style="solid", color="burlywood", weight=3]; 822[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];227 -> 822[label="",style="solid", color="burlywood", weight=9]; 822 -> 285[label="",style="solid", color="burlywood", weight=3]; 228[label="primEqInt (Pos Zero) xv40",fontsize=16,color="burlywood",shape="box"];823[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];228 -> 823[label="",style="solid", color="burlywood", weight=9]; 823 -> 286[label="",style="solid", color="burlywood", weight=3]; 824[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];228 -> 824[label="",style="solid", color="burlywood", weight=9]; 824 -> 287[label="",style="solid", color="burlywood", weight=3]; 229[label="primEqInt (Neg (Succ xv3000)) xv40",fontsize=16,color="burlywood",shape="box"];825[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];229 -> 825[label="",style="solid", color="burlywood", weight=9]; 825 -> 288[label="",style="solid", color="burlywood", weight=3]; 826[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];229 -> 826[label="",style="solid", color="burlywood", weight=9]; 826 -> 289[label="",style="solid", color="burlywood", weight=3]; 230[label="primEqInt (Neg Zero) xv40",fontsize=16,color="burlywood",shape="box"];827[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];230 -> 827[label="",style="solid", color="burlywood", weight=9]; 827 -> 290[label="",style="solid", color="burlywood", weight=3]; 828[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];230 -> 828[label="",style="solid", color="burlywood", weight=9]; 828 -> 291[label="",style="solid", color="burlywood", weight=3]; 231 -> 140[label="",style="dashed", color="red", weight=0]; 231[label="xv300 * xv401 == xv301 * xv400",fontsize=16,color="magenta"];231 -> 292[label="",style="dashed", color="magenta", weight=3]; 231 -> 293[label="",style="dashed", color="magenta", weight=3]; 232[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];829[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];232 -> 829[label="",style="solid", color="blue", weight=9]; 829 -> 294[label="",style="solid", color="blue", weight=3]; 830[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];232 -> 830[label="",style="solid", color="blue", weight=9]; 830 -> 295[label="",style="solid", color="blue", weight=3]; 831[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];232 -> 831[label="",style="solid", color="blue", weight=9]; 831 -> 296[label="",style="solid", color="blue", weight=3]; 832[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];232 -> 832[label="",style="solid", color="blue", weight=9]; 832 -> 297[label="",style="solid", color="blue", weight=3]; 833[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];232 -> 833[label="",style="solid", color="blue", weight=9]; 833 -> 298[label="",style="solid", color="blue", weight=3]; 834[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];232 -> 834[label="",style="solid", color="blue", weight=9]; 834 -> 299[label="",style="solid", color="blue", weight=3]; 835[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];232 -> 835[label="",style="solid", color="blue", weight=9]; 835 -> 300[label="",style="solid", color="blue", weight=3]; 836[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];232 -> 836[label="",style="solid", color="blue", weight=9]; 836 -> 301[label="",style="solid", color="blue", weight=3]; 837[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];232 -> 837[label="",style="solid", color="blue", weight=9]; 837 -> 302[label="",style="solid", color="blue", weight=3]; 838[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];232 -> 838[label="",style="solid", color="blue", weight=9]; 838 -> 303[label="",style="solid", color="blue", weight=3]; 839[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];232 -> 839[label="",style="solid", color="blue", weight=9]; 839 -> 304[label="",style="solid", color="blue", weight=3]; 840[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];232 -> 840[label="",style="solid", color="blue", weight=9]; 840 -> 305[label="",style="solid", color="blue", weight=3]; 841[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];232 -> 841[label="",style="solid", color="blue", weight=9]; 841 -> 306[label="",style="solid", color="blue", weight=3]; 842[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];232 -> 842[label="",style="solid", color="blue", weight=9]; 842 -> 307[label="",style="solid", color="blue", weight=3]; 233 -> 122[label="",style="dashed", color="red", weight=0]; 233[label="xv301 == xv401 && xv302 == xv402",fontsize=16,color="magenta"];233 -> 308[label="",style="dashed", color="magenta", weight=3]; 233 -> 309[label="",style="dashed", color="magenta", weight=3]; 234[label="primEqNat xv300 xv400",fontsize=16,color="burlywood",shape="triangle"];843[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];234 -> 843[label="",style="solid", color="burlywood", weight=9]; 843 -> 310[label="",style="solid", color="burlywood", weight=3]; 844[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];234 -> 844[label="",style="solid", color="burlywood", weight=9]; 844 -> 311[label="",style="solid", color="burlywood", weight=3]; 235 -> 127[label="",style="dashed", color="red", 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239[label="xv300 == xv400",fontsize=16,color="magenta"];239 -> 320[label="",style="dashed", color="magenta", weight=3]; 239 -> 321[label="",style="dashed", color="magenta", weight=3]; 240 -> 132[label="",style="dashed", color="red", weight=0]; 240[label="xv300 == xv400",fontsize=16,color="magenta"];240 -> 322[label="",style="dashed", color="magenta", weight=3]; 240 -> 323[label="",style="dashed", color="magenta", weight=3]; 241 -> 133[label="",style="dashed", color="red", weight=0]; 241[label="xv300 == xv400",fontsize=16,color="magenta"];241 -> 324[label="",style="dashed", color="magenta", weight=3]; 241 -> 325[label="",style="dashed", color="magenta", weight=3]; 242 -> 134[label="",style="dashed", color="red", weight=0]; 242[label="xv300 == xv400",fontsize=16,color="magenta"];242 -> 326[label="",style="dashed", color="magenta", weight=3]; 242 -> 327[label="",style="dashed", color="magenta", weight=3]; 243 -> 135[label="",style="dashed", color="red", weight=0]; 243[label="xv300 == 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xv400",fontsize=16,color="magenta"];259 -> 360[label="",style="dashed", color="magenta", weight=3]; 259 -> 361[label="",style="dashed", color="magenta", weight=3]; 260 -> 138[label="",style="dashed", color="red", weight=0]; 260[label="xv300 == xv400",fontsize=16,color="magenta"];260 -> 362[label="",style="dashed", color="magenta", weight=3]; 260 -> 363[label="",style="dashed", color="magenta", weight=3]; 261 -> 139[label="",style="dashed", color="red", weight=0]; 261[label="xv300 == xv400",fontsize=16,color="magenta"];261 -> 364[label="",style="dashed", color="magenta", weight=3]; 261 -> 365[label="",style="dashed", color="magenta", weight=3]; 262 -> 140[label="",style="dashed", color="red", weight=0]; 262[label="xv300 == xv400",fontsize=16,color="magenta"];262 -> 366[label="",style="dashed", color="magenta", weight=3]; 262 -> 367[label="",style="dashed", color="magenta", weight=3]; 263[label="xv300",fontsize=16,color="green",shape="box"];264[label="xv400",fontsize=16,color="green",shape="box"];265[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];845[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];265 -> 845[label="",style="solid", color="blue", weight=9]; 845 -> 368[label="",style="solid", color="blue", weight=3]; 846[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];265 -> 846[label="",style="solid", color="blue", weight=9]; 846 -> 369[label="",style="solid", color="blue", weight=3]; 847[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];265 -> 847[label="",style="solid", color="blue", weight=9]; 847 -> 370[label="",style="solid", color="blue", weight=3]; 848[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];265 -> 848[label="",style="solid", color="blue", weight=9]; 848 -> 371[label="",style="solid", color="blue", weight=3]; 849[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];265 -> 849[label="",style="solid", color="blue", weight=9]; 849 -> 372[label="",style="solid", color="blue", weight=3]; 850[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];265 -> 850[label="",style="solid", color="blue", weight=9]; 850 -> 373[label="",style="solid", color="blue", weight=3]; 851[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];265 -> 851[label="",style="solid", color="blue", weight=9]; 851 -> 374[label="",style="solid", color="blue", weight=3]; 852[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];265 -> 852[label="",style="solid", color="blue", weight=9]; 852 -> 375[label="",style="solid", color="blue", weight=3]; 853[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];265 -> 853[label="",style="solid", color="blue", weight=9]; 853 -> 376[label="",style="solid", color="blue", weight=3]; 854[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];265 -> 854[label="",style="solid", color="blue", weight=9]; 854 -> 377[label="",style="solid", color="blue", weight=3]; 855[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];265 -> 855[label="",style="solid", color="blue", weight=9]; 855 -> 378[label="",style="solid", color="blue", weight=3]; 856[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];265 -> 856[label="",style="solid", color="blue", weight=9]; 856 -> 379[label="",style="solid", color="blue", weight=3]; 857[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];265 -> 857[label="",style="solid", color="blue", weight=9]; 857 -> 380[label="",style="solid", color="blue", weight=3]; 858[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];265 -> 858[label="",style="solid", color="blue", weight=9]; 858 -> 381[label="",style="solid", color="blue", weight=3]; 266[label="xv301 == xv401",fontsize=16,color="blue",shape="box"];859[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];266 -> 859[label="",style="solid", color="blue", weight=9]; 859 -> 382[label="",style="solid", color="blue", weight=3]; 860[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];266 -> 860[label="",style="solid", color="blue", weight=9]; 860 -> 383[label="",style="solid", color="blue", weight=3]; 861[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];266 -> 861[label="",style="solid", color="blue", weight=9]; 861 -> 384[label="",style="solid", color="blue", weight=3]; 862[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];266 -> 862[label="",style="solid", color="blue", weight=9]; 862 -> 385[label="",style="solid", color="blue", weight=3]; 863[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];266 -> 863[label="",style="solid", color="blue", weight=9]; 863 -> 386[label="",style="solid", color="blue", weight=3]; 864[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];266 -> 864[label="",style="solid", color="blue", weight=9]; 864 -> 387[label="",style="solid", color="blue", weight=3]; 865[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];266 -> 865[label="",style="solid", color="blue", weight=9]; 865 -> 388[label="",style="solid", color="blue", weight=3]; 866[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];266 -> 866[label="",style="solid", color="blue", weight=9]; 866 -> 389[label="",style="solid", color="blue", weight=3]; 867[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];266 -> 867[label="",style="solid", color="blue", weight=9]; 867 -> 390[label="",style="solid", color="blue", weight=3]; 868[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];266 -> 868[label="",style="solid", color="blue", weight=9]; 868 -> 391[label="",style="solid", color="blue", weight=3]; 869[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];266 -> 869[label="",style="solid", color="blue", weight=9]; 869 -> 392[label="",style="solid", color="blue", weight=3]; 870[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];266 -> 870[label="",style="solid", color="blue", weight=9]; 870 -> 393[label="",style="solid", color="blue", weight=3]; 871[label="== :: (Maybe a) -> (Maybe 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xv400",fontsize=16,color="magenta"];283 -> 428[label="",style="dashed", color="magenta", weight=3]; 283 -> 429[label="",style="dashed", color="magenta", weight=3]; 284[label="primEqInt (Pos (Succ xv3000)) (Pos xv400)",fontsize=16,color="burlywood",shape="box"];877[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];284 -> 877[label="",style="solid", color="burlywood", weight=9]; 877 -> 430[label="",style="solid", color="burlywood", weight=3]; 878[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];284 -> 878[label="",style="solid", color="burlywood", weight=9]; 878 -> 431[label="",style="solid", color="burlywood", weight=3]; 285[label="primEqInt (Pos (Succ xv3000)) (Neg xv400)",fontsize=16,color="black",shape="box"];285 -> 432[label="",style="solid", color="black", weight=3]; 286[label="primEqInt (Pos Zero) (Pos xv400)",fontsize=16,color="burlywood",shape="box"];879[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];286 -> 879[label="",style="solid", color="burlywood", weight=9]; 879 -> 433[label="",style="solid", color="burlywood", weight=3]; 880[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];286 -> 880[label="",style="solid", color="burlywood", weight=9]; 880 -> 434[label="",style="solid", color="burlywood", weight=3]; 287[label="primEqInt (Pos Zero) (Neg xv400)",fontsize=16,color="burlywood",shape="box"];881[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];287 -> 881[label="",style="solid", color="burlywood", weight=9]; 881 -> 435[label="",style="solid", color="burlywood", weight=3]; 882[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];287 -> 882[label="",style="solid", color="burlywood", weight=9]; 882 -> 436[label="",style="solid", color="burlywood", weight=3]; 288[label="primEqInt (Neg (Succ xv3000)) (Pos xv400)",fontsize=16,color="black",shape="box"];288 -> 437[label="",style="solid", color="black", weight=3]; 289[label="primEqInt (Neg (Succ xv3000)) (Neg xv400)",fontsize=16,color="burlywood",shape="box"];883[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];289 -> 883[label="",style="solid", color="burlywood", weight=9]; 883 -> 438[label="",style="solid", color="burlywood", weight=3]; 884[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];289 -> 884[label="",style="solid", color="burlywood", weight=9]; 884 -> 439[label="",style="solid", color="burlywood", weight=3]; 290[label="primEqInt (Neg Zero) (Pos xv400)",fontsize=16,color="burlywood",shape="box"];885[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];290 -> 885[label="",style="solid", color="burlywood", weight=9]; 885 -> 440[label="",style="solid", color="burlywood", weight=3]; 886[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];290 -> 886[label="",style="solid", color="burlywood", weight=9]; 886 -> 441[label="",style="solid", color="burlywood", weight=3]; 291[label="primEqInt (Neg Zero) (Neg xv400)",fontsize=16,color="burlywood",shape="box"];887[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];291 -> 887[label="",style="solid", color="burlywood", weight=9]; 887 -> 442[label="",style="solid", color="burlywood", weight=3]; 888[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];291 -> 888[label="",style="solid", color="burlywood", weight=9]; 888 -> 443[label="",style="solid", color="burlywood", weight=3]; 292[label="xv300 * xv401",fontsize=16,color="black",shape="triangle"];292 -> 444[label="",style="solid", color="black", weight=3]; 293 -> 292[label="",style="dashed", color="red", weight=0]; 293[label="xv301 * xv400",fontsize=16,color="magenta"];293 -> 445[label="",style="dashed", color="magenta", weight=3]; 293 -> 446[label="",style="dashed", color="magenta", weight=3]; 294 -> 127[label="",style="dashed", color="red", weight=0]; 294[label="xv300 == xv400",fontsize=16,color="magenta"];294 -> 447[label="",style="dashed", color="magenta", weight=3]; 294 -> 448[label="",style="dashed", color="magenta", weight=3]; 295 -> 96[label="",style="dashed", color="red", weight=0]; 295[label="xv300 == xv400",fontsize=16,color="magenta"];295 -> 449[label="",style="dashed", color="magenta", weight=3]; 295 -> 450[label="",style="dashed", color="magenta", weight=3]; 296 -> 129[label="",style="dashed", color="red", weight=0]; 296[label="xv300 == xv400",fontsize=16,color="magenta"];296 -> 451[label="",style="dashed", color="magenta", weight=3]; 296 -> 452[label="",style="dashed", color="magenta", weight=3]; 297 -> 130[label="",style="dashed", color="red", weight=0]; 297[label="xv300 == xv400",fontsize=16,color="magenta"];297 -> 453[label="",style="dashed", color="magenta", weight=3]; 297 -> 454[label="",style="dashed", color="magenta", weight=3]; 298 -> 131[label="",style="dashed", color="red", weight=0]; 298[label="xv300 == xv400",fontsize=16,color="magenta"];298 -> 455[label="",style="dashed", color="magenta", weight=3]; 298 -> 456[label="",style="dashed", color="magenta", weight=3]; 299 -> 132[label="",style="dashed", color="red", weight=0]; 299[label="xv300 == xv400",fontsize=16,color="magenta"];299 -> 457[label="",style="dashed", color="magenta", weight=3]; 299 -> 458[label="",style="dashed", color="magenta", weight=3]; 300 -> 133[label="",style="dashed", color="red", weight=0]; 300[label="xv300 == xv400",fontsize=16,color="magenta"];300 -> 459[label="",style="dashed", color="magenta", weight=3]; 300 -> 460[label="",style="dashed", color="magenta", weight=3]; 301 -> 134[label="",style="dashed", color="red", weight=0]; 301[label="xv300 == xv400",fontsize=16,color="magenta"];301 -> 461[label="",style="dashed", color="magenta", weight=3]; 301 -> 462[label="",style="dashed", color="magenta", weight=3]; 302 -> 135[label="",style="dashed", color="red", weight=0]; 302[label="xv300 == xv400",fontsize=16,color="magenta"];302 -> 463[label="",style="dashed", color="magenta", weight=3]; 302 -> 464[label="",style="dashed", color="magenta", weight=3]; 303 -> 136[label="",style="dashed", color="red", weight=0]; 303[label="xv300 == xv400",fontsize=16,color="magenta"];303 -> 465[label="",style="dashed", color="magenta", weight=3]; 303 -> 466[label="",style="dashed", color="magenta", weight=3]; 304 -> 137[label="",style="dashed", color="red", weight=0]; 304[label="xv300 == xv400",fontsize=16,color="magenta"];304 -> 467[label="",style="dashed", color="magenta", weight=3]; 304 -> 468[label="",style="dashed", color="magenta", weight=3]; 305 -> 138[label="",style="dashed", color="red", weight=0]; 305[label="xv300 == xv400",fontsize=16,color="magenta"];305 -> 469[label="",style="dashed", color="magenta", weight=3]; 305 -> 470[label="",style="dashed", color="magenta", weight=3]; 306 -> 139[label="",style="dashed", color="red", weight=0]; 306[label="xv300 == xv400",fontsize=16,color="magenta"];306 -> 471[label="",style="dashed", color="magenta", weight=3]; 306 -> 472[label="",style="dashed", color="magenta", weight=3]; 307 -> 140[label="",style="dashed", color="red", weight=0]; 307[label="xv300 == xv400",fontsize=16,color="magenta"];307 -> 473[label="",style="dashed", color="magenta", weight=3]; 307 -> 474[label="",style="dashed", color="magenta", weight=3]; 308[label="xv301 == xv401",fontsize=16,color="blue",shape="box"];889[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];308 -> 889[label="",style="solid", color="blue", weight=9]; 889 -> 475[label="",style="solid", color="blue", weight=3]; 890[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];308 -> 890[label="",style="solid", color="blue", weight=9]; 890 -> 476[label="",style="solid", color="blue", weight=3]; 891[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];308 -> 891[label="",style="solid", color="blue", weight=9]; 891 -> 477[label="",style="solid", color="blue", weight=3]; 892[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];308 -> 892[label="",style="solid", color="blue", weight=9]; 892 -> 478[label="",style="solid", color="blue", weight=3]; 893[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];308 -> 893[label="",style="solid", color="blue", weight=9]; 893 -> 479[label="",style="solid", color="blue", weight=3]; 894[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];308 -> 894[label="",style="solid", color="blue", weight=9]; 894 -> 480[label="",style="solid", color="blue", weight=3]; 895[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];308 -> 895[label="",style="solid", color="blue", weight=9]; 895 -> 481[label="",style="solid", color="blue", weight=3]; 896[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];308 -> 896[label="",style="solid", color="blue", weight=9]; 896 -> 482[label="",style="solid", color="blue", weight=3]; 897[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];308 -> 897[label="",style="solid", color="blue", weight=9]; 897 -> 483[label="",style="solid", color="blue", weight=3]; 898[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];308 -> 898[label="",style="solid", color="blue", weight=9]; 898 -> 484[label="",style="solid", color="blue", weight=3]; 899[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];308 -> 899[label="",style="solid", color="blue", weight=9]; 899 -> 485[label="",style="solid", color="blue", weight=3]; 900[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];308 -> 900[label="",style="solid", color="blue", weight=9]; 900 -> 486[label="",style="solid", color="blue", weight=3]; 901[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];308 -> 901[label="",style="solid", color="blue", weight=9]; 901 -> 487[label="",style="solid", color="blue", weight=3]; 902[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];308 -> 902[label="",style="solid", color="blue", weight=9]; 902 -> 488[label="",style="solid", color="blue", weight=3]; 309[label="xv302 == xv402",fontsize=16,color="blue",shape="box"];903[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];309 -> 903[label="",style="solid", color="blue", weight=9]; 903 -> 489[label="",style="solid", color="blue", weight=3]; 904[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];309 -> 904[label="",style="solid", color="blue", weight=9]; 904 -> 490[label="",style="solid", color="blue", weight=3]; 905[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];309 -> 905[label="",style="solid", color="blue", weight=9]; 905 -> 491[label="",style="solid", color="blue", weight=3]; 906[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];309 -> 906[label="",style="solid", color="blue", weight=9]; 906 -> 492[label="",style="solid", color="blue", weight=3]; 907[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];309 -> 907[label="",style="solid", color="blue", weight=9]; 907 -> 493[label="",style="solid", color="blue", weight=3]; 908[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];309 -> 908[label="",style="solid", color="blue", weight=9]; 908 -> 494[label="",style="solid", color="blue", weight=3]; 909[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];309 -> 909[label="",style="solid", color="blue", weight=9]; 909 -> 495[label="",style="solid", color="blue", weight=3]; 910[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];309 -> 910[label="",style="solid", color="blue", weight=9]; 910 -> 496[label="",style="solid", color="blue", weight=3]; 911[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];309 -> 911[label="",style="solid", color="blue", weight=9]; 911 -> 497[label="",style="solid", color="blue", weight=3]; 912[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];309 -> 912[label="",style="solid", color="blue", weight=9]; 912 -> 498[label="",style="solid", color="blue", weight=3]; 913[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];309 -> 913[label="",style="solid", color="blue", weight=9]; 913 -> 499[label="",style="solid", color="blue", weight=3]; 914[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];309 -> 914[label="",style="solid", color="blue", weight=9]; 914 -> 500[label="",style="solid", color="blue", weight=3]; 915[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];309 -> 915[label="",style="solid", color="blue", weight=9]; 915 -> 501[label="",style="solid", color="blue", weight=3]; 916[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];309 -> 916[label="",style="solid", color="blue", weight=9]; 916 -> 502[label="",style="solid", color="blue", weight=3]; 310[label="primEqNat (Succ xv3000) xv400",fontsize=16,color="burlywood",shape="box"];917[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];310 -> 917[label="",style="solid", color="burlywood", weight=9]; 917 -> 503[label="",style="solid", color="burlywood", weight=3]; 918[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];310 -> 918[label="",style="solid", color="burlywood", weight=9]; 918 -> 504[label="",style="solid", color="burlywood", weight=3]; 311[label="primEqNat Zero xv400",fontsize=16,color="burlywood",shape="box"];919[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];311 -> 919[label="",style="solid", color="burlywood", weight=9]; 919 -> 505[label="",style="solid", color="burlywood", weight=3]; 920[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];311 -> 920[label="",style="solid", color="burlywood", weight=9]; 920 -> 506[label="",style="solid", color="burlywood", weight=3]; 312[label="xv300",fontsize=16,color="green",shape="box"];313[label="xv400",fontsize=16,color="green",shape="box"];314[label="xv400",fontsize=16,color="green",shape="box"];315[label="xv300",fontsize=16,color="green",shape="box"];316[label="xv300",fontsize=16,color="green",shape="box"];317[label="xv400",fontsize=16,color="green",shape="box"];318[label="xv300",fontsize=16,color="green",shape="box"];319[label="xv400",fontsize=16,color="green",shape="box"];320[label="xv300",fontsize=16,color="green",shape="box"];321[label="xv400",fontsize=16,color="green",shape="box"];322[label="xv300",fontsize=16,color="green",shape="box"];323[label="xv400",fontsize=16,color="green",shape="box"];324[label="xv300",fontsize=16,color="green",shape="box"];325[label="xv400",fontsize=16,color="green",shape="box"];326[label="xv300",fontsize=16,color="green",shape="box"];327[label="xv400",fontsize=16,color="green",shape="box"];328[label="xv300",fontsize=16,color="green",shape="box"];329[label="xv400",fontsize=16,color="green",shape="box"];330[label="xv300",fontsize=16,color="green",shape="box"];331[label="xv400",fontsize=16,color="green",shape="box"];332[label="xv300",fontsize=16,color="green",shape="box"];333[label="xv400",fontsize=16,color="green",shape="box"];334[label="xv300",fontsize=16,color="green",shape="box"];335[label="xv400",fontsize=16,color="green",shape="box"];336[label="xv300",fontsize=16,color="green",shape="box"];337[label="xv400",fontsize=16,color="green",shape="box"];338[label="xv300",fontsize=16,color="green",shape="box"];339[label="xv400",fontsize=16,color="green",shape="box"];340[label="xv300",fontsize=16,color="green",shape="box"];341[label="xv400",fontsize=16,color="green",shape="box"];342[label="xv400",fontsize=16,color="green",shape="box"];343[label="xv300",fontsize=16,color="green",shape="box"];344[label="xv300",fontsize=16,color="green",shape="box"];345[label="xv400",fontsize=16,color="green",shape="box"];346[label="xv300",fontsize=16,color="green",shape="box"];347[label="xv400",fontsize=16,color="green",shape="box"];348[label="xv300",fontsize=16,color="green",shape="box"];349[label="xv400",fontsize=16,color="green",shape="box"];350[label="xv300",fontsize=16,color="green",shape="box"];351[label="xv400",fontsize=16,color="green",shape="box"];352[label="xv300",fontsize=16,color="green",shape="box"];353[label="xv400",fontsize=16,color="green",shape="box"];354[label="xv300",fontsize=16,color="green",shape="box"];355[label="xv400",fontsize=16,color="green",shape="box"];356[label="xv300",fontsize=16,color="green",shape="box"];357[label="xv400",fontsize=16,color="green",shape="box"];358[label="xv300",fontsize=16,color="green",shape="box"];359[label="xv400",fontsize=16,color="green",shape="box"];360[label="xv300",fontsize=16,color="green",shape="box"];361[label="xv400",fontsize=16,color="green",shape="box"];362[label="xv300",fontsize=16,color="green",shape="box"];363[label="xv400",fontsize=16,color="green",shape="box"];364[label="xv300",fontsize=16,color="green",shape="box"];365[label="xv400",fontsize=16,color="green",shape="box"];366[label="xv300",fontsize=16,color="green",shape="box"];367[label="xv400",fontsize=16,color="green",shape="box"];368 -> 127[label="",style="dashed", color="red", weight=0]; 368[label="xv300 == xv400",fontsize=16,color="magenta"];368 -> 507[label="",style="dashed", color="magenta", weight=3]; 368 -> 508[label="",style="dashed", color="magenta", weight=3]; 369 -> 96[label="",style="dashed", color="red", weight=0]; 369[label="xv300 == xv400",fontsize=16,color="magenta"];369 -> 509[label="",style="dashed", color="magenta", weight=3]; 369 -> 510[label="",style="dashed", color="magenta", weight=3]; 370 -> 129[label="",style="dashed", color="red", weight=0]; 370[label="xv300 == xv400",fontsize=16,color="magenta"];370 -> 511[label="",style="dashed", color="magenta", weight=3]; 370 -> 512[label="",style="dashed", color="magenta", weight=3]; 371 -> 130[label="",style="dashed", color="red", weight=0]; 371[label="xv300 == xv400",fontsize=16,color="magenta"];371 -> 513[label="",style="dashed", color="magenta", weight=3]; 371 -> 514[label="",style="dashed", color="magenta", weight=3]; 372 -> 131[label="",style="dashed", color="red", weight=0]; 372[label="xv300 == xv400",fontsize=16,color="magenta"];372 -> 515[label="",style="dashed", color="magenta", weight=3]; 372 -> 516[label="",style="dashed", color="magenta", weight=3]; 373 -> 132[label="",style="dashed", color="red", weight=0]; 373[label="xv300 == xv400",fontsize=16,color="magenta"];373 -> 517[label="",style="dashed", color="magenta", weight=3]; 373 -> 518[label="",style="dashed", color="magenta", weight=3]; 374 -> 133[label="",style="dashed", color="red", weight=0]; 374[label="xv300 == xv400",fontsize=16,color="magenta"];374 -> 519[label="",style="dashed", color="magenta", weight=3]; 374 -> 520[label="",style="dashed", color="magenta", weight=3]; 375 -> 134[label="",style="dashed", color="red", weight=0]; 375[label="xv300 == xv400",fontsize=16,color="magenta"];375 -> 521[label="",style="dashed", color="magenta", weight=3]; 375 -> 522[label="",style="dashed", color="magenta", weight=3]; 376 -> 135[label="",style="dashed", color="red", weight=0]; 376[label="xv300 == xv400",fontsize=16,color="magenta"];376 -> 523[label="",style="dashed", color="magenta", weight=3]; 376 -> 524[label="",style="dashed", color="magenta", weight=3]; 377 -> 136[label="",style="dashed", color="red", weight=0]; 377[label="xv300 == xv400",fontsize=16,color="magenta"];377 -> 525[label="",style="dashed", color="magenta", weight=3]; 377 -> 526[label="",style="dashed", color="magenta", weight=3]; 378 -> 137[label="",style="dashed", color="red", weight=0]; 378[label="xv300 == xv400",fontsize=16,color="magenta"];378 -> 527[label="",style="dashed", color="magenta", weight=3]; 378 -> 528[label="",style="dashed", color="magenta", weight=3]; 379 -> 138[label="",style="dashed", color="red", weight=0]; 379[label="xv300 == xv400",fontsize=16,color="magenta"];379 -> 529[label="",style="dashed", color="magenta", weight=3]; 379 -> 530[label="",style="dashed", color="magenta", weight=3]; 380 -> 139[label="",style="dashed", color="red", weight=0]; 380[label="xv300 == xv400",fontsize=16,color="magenta"];380 -> 531[label="",style="dashed", color="magenta", weight=3]; 380 -> 532[label="",style="dashed", color="magenta", weight=3]; 381 -> 140[label="",style="dashed", color="red", weight=0]; 381[label="xv300 == xv400",fontsize=16,color="magenta"];381 -> 533[label="",style="dashed", color="magenta", weight=3]; 381 -> 534[label="",style="dashed", color="magenta", weight=3]; 382 -> 127[label="",style="dashed", color="red", weight=0]; 382[label="xv301 == xv401",fontsize=16,color="magenta"];382 -> 535[label="",style="dashed", color="magenta", weight=3]; 382 -> 536[label="",style="dashed", color="magenta", weight=3]; 383 -> 96[label="",style="dashed", color="red", weight=0]; 383[label="xv301 == xv401",fontsize=16,color="magenta"];383 -> 537[label="",style="dashed", color="magenta", weight=3]; 383 -> 538[label="",style="dashed", color="magenta", weight=3]; 384 -> 129[label="",style="dashed", color="red", weight=0]; 384[label="xv301 == xv401",fontsize=16,color="magenta"];384 -> 539[label="",style="dashed", color="magenta", weight=3]; 384 -> 540[label="",style="dashed", color="magenta", weight=3]; 385 -> 130[label="",style="dashed", color="red", weight=0]; 385[label="xv301 == xv401",fontsize=16,color="magenta"];385 -> 541[label="",style="dashed", color="magenta", weight=3]; 385 -> 542[label="",style="dashed", color="magenta", weight=3]; 386 -> 131[label="",style="dashed", color="red", weight=0]; 386[label="xv301 == xv401",fontsize=16,color="magenta"];386 -> 543[label="",style="dashed", color="magenta", weight=3]; 386 -> 544[label="",style="dashed", color="magenta", weight=3]; 387 -> 132[label="",style="dashed", color="red", weight=0]; 387[label="xv301 == xv401",fontsize=16,color="magenta"];387 -> 545[label="",style="dashed", color="magenta", weight=3]; 387 -> 546[label="",style="dashed", color="magenta", weight=3]; 388 -> 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402[label="xv300",fontsize=16,color="green",shape="box"];403[label="xv400",fontsize=16,color="green",shape="box"];404[label="xv400",fontsize=16,color="green",shape="box"];405[label="xv300",fontsize=16,color="green",shape="box"];406[label="xv300",fontsize=16,color="green",shape="box"];407[label="xv400",fontsize=16,color="green",shape="box"];408[label="xv300",fontsize=16,color="green",shape="box"];409[label="xv400",fontsize=16,color="green",shape="box"];410[label="xv300",fontsize=16,color="green",shape="box"];411[label="xv400",fontsize=16,color="green",shape="box"];412[label="xv300",fontsize=16,color="green",shape="box"];413[label="xv400",fontsize=16,color="green",shape="box"];414[label="xv300",fontsize=16,color="green",shape="box"];415[label="xv400",fontsize=16,color="green",shape="box"];416[label="xv300",fontsize=16,color="green",shape="box"];417[label="xv400",fontsize=16,color="green",shape="box"];418[label="xv300",fontsize=16,color="green",shape="box"];419[label="xv400",fontsize=16,color="green",shape="box"];420[label="xv300",fontsize=16,color="green",shape="box"];421[label="xv400",fontsize=16,color="green",shape="box"];422[label="xv300",fontsize=16,color="green",shape="box"];423[label="xv400",fontsize=16,color="green",shape="box"];424[label="xv300",fontsize=16,color="green",shape="box"];425[label="xv400",fontsize=16,color="green",shape="box"];426[label="xv300",fontsize=16,color="green",shape="box"];427[label="xv400",fontsize=16,color="green",shape="box"];428[label="xv300",fontsize=16,color="green",shape="box"];429[label="xv400",fontsize=16,color="green",shape="box"];430[label="primEqInt 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445[label="xv400",fontsize=16,color="green",shape="box"];446[label="xv301",fontsize=16,color="green",shape="box"];447[label="xv300",fontsize=16,color="green",shape="box"];448[label="xv400",fontsize=16,color="green",shape="box"];449[label="xv400",fontsize=16,color="green",shape="box"];450[label="xv300",fontsize=16,color="green",shape="box"];451[label="xv300",fontsize=16,color="green",shape="box"];452[label="xv400",fontsize=16,color="green",shape="box"];453[label="xv300",fontsize=16,color="green",shape="box"];454[label="xv400",fontsize=16,color="green",shape="box"];455[label="xv300",fontsize=16,color="green",shape="box"];456[label="xv400",fontsize=16,color="green",shape="box"];457[label="xv300",fontsize=16,color="green",shape="box"];458[label="xv400",fontsize=16,color="green",shape="box"];459[label="xv300",fontsize=16,color="green",shape="box"];460[label="xv400",fontsize=16,color="green",shape="box"];461[label="xv300",fontsize=16,color="green",shape="box"];462[label="xv400",fontsize=16,color="green",shape="box"];463[label="xv300",fontsize=16,color="green",shape="box"];464[label="xv400",fontsize=16,color="green",shape="box"];465[label="xv300",fontsize=16,color="green",shape="box"];466[label="xv400",fontsize=16,color="green",shape="box"];467[label="xv300",fontsize=16,color="green",shape="box"];468[label="xv400",fontsize=16,color="green",shape="box"];469[label="xv300",fontsize=16,color="green",shape="box"];470[label="xv400",fontsize=16,color="green",shape="box"];471[label="xv300",fontsize=16,color="green",shape="box"];472[label="xv400",fontsize=16,color="green",shape="box"];473[label="xv300",fontsize=16,color="green",shape="box"];474[label="xv400",fontsize=16,color="green",shape="box"];475 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xv3000) (Succ xv4000)",fontsize=16,color="black",shape="box"];503 -> 645[label="",style="solid", color="black", weight=3]; 504[label="primEqNat (Succ xv3000) Zero",fontsize=16,color="black",shape="box"];504 -> 646[label="",style="solid", color="black", weight=3]; 505[label="primEqNat Zero (Succ xv4000)",fontsize=16,color="black",shape="box"];505 -> 647[label="",style="solid", color="black", weight=3]; 506[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];506 -> 648[label="",style="solid", color="black", weight=3]; 507[label="xv300",fontsize=16,color="green",shape="box"];508[label="xv400",fontsize=16,color="green",shape="box"];509[label="xv400",fontsize=16,color="green",shape="box"];510[label="xv300",fontsize=16,color="green",shape="box"];511[label="xv300",fontsize=16,color="green",shape="box"];512[label="xv400",fontsize=16,color="green",shape="box"];513[label="xv300",fontsize=16,color="green",shape="box"];514[label="xv400",fontsize=16,color="green",shape="box"];515[label="xv300",fontsize=16,color="green",shape="box"];516[label="xv400",fontsize=16,color="green",shape="box"];517[label="xv300",fontsize=16,color="green",shape="box"];518[label="xv400",fontsize=16,color="green",shape="box"];519[label="xv300",fontsize=16,color="green",shape="box"];520[label="xv400",fontsize=16,color="green",shape="box"];521[label="xv300",fontsize=16,color="green",shape="box"];522[label="xv400",fontsize=16,color="green",shape="box"];523[label="xv300",fontsize=16,color="green",shape="box"];524[label="xv400",fontsize=16,color="green",shape="box"];525[label="xv300",fontsize=16,color="green",shape="box"];526[label="xv400",fontsize=16,color="green",shape="box"];527[label="xv300",fontsize=16,color="green",shape="box"];528[label="xv400",fontsize=16,color="green",shape="box"];529[label="xv300",fontsize=16,color="green",shape="box"];530[label="xv400",fontsize=16,color="green",shape="box"];531[label="xv300",fontsize=16,color="green",shape="box"];532[label="xv400",fontsize=16,color="green",shape="box"];533[label="xv300",fontsize=16,color="green",shape="box"];534[label="xv400",fontsize=16,color="green",shape="box"];535[label="xv301",fontsize=16,color="green",shape="box"];536[label="xv401",fontsize=16,color="green",shape="box"];537[label="xv401",fontsize=16,color="green",shape="box"];538[label="xv301",fontsize=16,color="green",shape="box"];539[label="xv301",fontsize=16,color="green",shape="box"];540[label="xv401",fontsize=16,color="green",shape="box"];541[label="xv301",fontsize=16,color="green",shape="box"];542[label="xv401",fontsize=16,color="green",shape="box"];543[label="xv301",fontsize=16,color="green",shape="box"];544[label="xv401",fontsize=16,color="green",shape="box"];545[label="xv301",fontsize=16,color="green",shape="box"];546[label="xv401",fontsize=16,color="green",shape="box"];547[label="xv301",fontsize=16,color="green",shape="box"];548[label="xv401",fontsize=16,color="green",shape="box"];549[label="xv301",fontsize=16,color="green",shape="box"];550[label="xv401",fontsize=16,color="green",shape="box"];551[label="xv301",fontsize=16,color="green",shape="box"];552[label="xv401",fontsize=16,color="green",shape="box"];553[label="xv301",fontsize=16,color="green",shape="box"];554[label="xv401",fontsize=16,color="green",shape="box"];555[label="xv301",fontsize=16,color="green",shape="box"];556[label="xv401",fontsize=16,color="green",shape="box"];557[label="xv301",fontsize=16,color="green",shape="box"];558[label="xv401",fontsize=16,color="green",shape="box"];559[label="xv301",fontsize=16,color="green",shape="box"];560[label="xv401",fontsize=16,color="green",shape="box"];561[label="xv301",fontsize=16,color="green",shape="box"];562[label="xv401",fontsize=16,color="green",shape="box"];563[label="xv401",fontsize=16,color="green",shape="box"];564[label="xv300",fontsize=16,color="green",shape="box"];565[label="xv400",fontsize=16,color="green",shape="box"];566[label="xv301",fontsize=16,color="green",shape="box"];567[label="xv300",fontsize=16,color="green",shape="box"];568[label="xv400",fontsize=16,color="green",shape="box"];569[label="xv300",fontsize=16,color="green",shape="box"];570[label="xv400",fontsize=16,color="green",shape="box"];571[label="xv301",fontsize=16,color="green",shape="box"];572[label="xv401",fontsize=16,color="green",shape="box"];573[label="xv301",fontsize=16,color="green",shape="box"];574[label="xv401",fontsize=16,color="green",shape="box"];575 -> 234[label="",style="dashed", color="red", weight=0]; 575[label="primEqNat xv3000 xv4000",fontsize=16,color="magenta"];575 -> 649[label="",style="dashed", color="magenta", weight=3]; 575 -> 650[label="",style="dashed", color="magenta", weight=3]; 576[label="False",fontsize=16,color="green",shape="box"];577[label="False",fontsize=16,color="green",shape="box"];578[label="True",fontsize=16,color="green",shape="box"];579[label="False",fontsize=16,color="green",shape="box"];580[label="True",fontsize=16,color="green",shape="box"];581 -> 234[label="",style="dashed", color="red", weight=0]; 581[label="primEqNat xv3000 xv4000",fontsize=16,color="magenta"];581 -> 651[label="",style="dashed", color="magenta", weight=3]; 581 -> 652[label="",style="dashed", color="magenta", weight=3]; 582[label="False",fontsize=16,color="green",shape="box"];583[label="False",fontsize=16,color="green",shape="box"];584[label="True",fontsize=16,color="green",shape="box"];585[label="False",fontsize=16,color="green",shape="box"];586[label="True",fontsize=16,color="green",shape="box"];587[label="primMulInt (Pos xv3000) xv401",fontsize=16,color="burlywood",shape="box"];923[label="xv401/Pos xv4010",fontsize=10,color="white",style="solid",shape="box"];587 -> 923[label="",style="solid", color="burlywood", weight=9]; 923 -> 653[label="",style="solid", color="burlywood", weight=3]; 924[label="xv401/Neg xv4010",fontsize=10,color="white",style="solid",shape="box"];587 -> 924[label="",style="solid", color="burlywood", weight=9]; 924 -> 654[label="",style="solid", color="burlywood", weight=3]; 588[label="primMulInt (Neg xv3000) xv401",fontsize=16,color="burlywood",shape="box"];925[label="xv401/Pos xv4010",fontsize=10,color="white",style="solid",shape="box"];588 -> 925[label="",style="solid", color="burlywood", weight=9]; 925 -> 655[label="",style="solid", color="burlywood", weight=3]; 926[label="xv401/Neg xv4010",fontsize=10,color="white",style="solid",shape="box"];588 -> 926[label="",style="solid", color="burlywood", weight=9]; 926 -> 656[label="",style="solid", color="burlywood", weight=3]; 589[label="xv301",fontsize=16,color="green",shape="box"];590[label="xv401",fontsize=16,color="green",shape="box"];591[label="xv401",fontsize=16,color="green",shape="box"];592[label="xv301",fontsize=16,color="green",shape="box"];593[label="xv301",fontsize=16,color="green",shape="box"];594[label="xv401",fontsize=16,color="green",shape="box"];595[label="xv301",fontsize=16,color="green",shape="box"];596[label="xv401",fontsize=16,color="green",shape="box"];597[label="xv301",fontsize=16,color="green",shape="box"];598[label="xv401",fontsize=16,color="green",shape="box"];599[label="xv301",fontsize=16,color="green",shape="box"];600[label="xv401",fontsize=16,color="green",shape="box"];601[label="xv301",fontsize=16,color="green",shape="box"];602[label="xv401",fontsize=16,color="green",shape="box"];603[label="xv301",fontsize=16,color="green",shape="box"];604[label="xv401",fontsize=16,color="green",shape="box"];605[label="xv301",fontsize=16,color="green",shape="box"];606[label="xv401",fontsize=16,color="green",shape="box"];607[label="xv301",fontsize=16,color="green",shape="box"];608[label="xv401",fontsize=16,color="green",shape="box"];609[label="xv301",fontsize=16,color="green",shape="box"];610[label="xv401",fontsize=16,color="green",shape="box"];611[label="xv301",fontsize=16,color="green",shape="box"];612[label="xv401",fontsize=16,color="green",shape="box"];613[label="xv301",fontsize=16,color="green",shape="box"];614[label="xv401",fontsize=16,color="green",shape="box"];615[label="xv301",fontsize=16,color="green",shape="box"];616[label="xv401",fontsize=16,color="green",shape="box"];617[label="xv302",fontsize=16,color="green",shape="box"];618[label="xv402",fontsize=16,color="green",shape="box"];619[label="xv402",fontsize=16,color="green",shape="box"];620[label="xv302",fontsize=16,color="green",shape="box"];621[label="xv302",fontsize=16,color="green",shape="box"];622[label="xv402",fontsize=16,color="green",shape="box"];623[label="xv302",fontsize=16,color="green",shape="box"];624[label="xv402",fontsize=16,color="green",shape="box"];625[label="xv302",fontsize=16,color="green",shape="box"];626[label="xv402",fontsize=16,color="green",shape="box"];627[label="xv302",fontsize=16,color="green",shape="box"];628[label="xv402",fontsize=16,color="green",shape="box"];629[label="xv302",fontsize=16,color="green",shape="box"];630[label="xv402",fontsize=16,color="green",shape="box"];631[label="xv302",fontsize=16,color="green",shape="box"];632[label="xv402",fontsize=16,color="green",shape="box"];633[label="xv302",fontsize=16,color="green",shape="box"];634[label="xv402",fontsize=16,color="green",shape="box"];635[label="xv302",fontsize=16,color="green",shape="box"];636[label="xv402",fontsize=16,color="green",shape="box"];637[label="xv302",fontsize=16,color="green",shape="box"];638[label="xv402",fontsize=16,color="green",shape="box"];639[label="xv302",fontsize=16,color="green",shape="box"];640[label="xv402",fontsize=16,color="green",shape="box"];641[label="xv302",fontsize=16,color="green",shape="box"];642[label="xv402",fontsize=16,color="green",shape="box"];643[label="xv302",fontsize=16,color="green",shape="box"];644[label="xv402",fontsize=16,color="green",shape="box"];645 -> 234[label="",style="dashed", color="red", weight=0]; 645[label="primEqNat xv3000 xv4000",fontsize=16,color="magenta"];645 -> 657[label="",style="dashed", color="magenta", weight=3]; 645 -> 658[label="",style="dashed", color="magenta", weight=3]; 646[label="False",fontsize=16,color="green",shape="box"];647[label="False",fontsize=16,color="green",shape="box"];648[label="True",fontsize=16,color="green",shape="box"];649[label="xv3000",fontsize=16,color="green",shape="box"];650[label="xv4000",fontsize=16,color="green",shape="box"];651[label="xv3000",fontsize=16,color="green",shape="box"];652[label="xv4000",fontsize=16,color="green",shape="box"];653[label="primMulInt (Pos xv3000) (Pos xv4010)",fontsize=16,color="black",shape="box"];653 -> 659[label="",style="solid", color="black", weight=3]; 654[label="primMulInt (Pos xv3000) (Neg xv4010)",fontsize=16,color="black",shape="box"];654 -> 660[label="",style="solid", color="black", weight=3]; 655[label="primMulInt (Neg xv3000) (Pos xv4010)",fontsize=16,color="black",shape="box"];655 -> 661[label="",style="solid", color="black", weight=3]; 656[label="primMulInt (Neg xv3000) (Neg xv4010)",fontsize=16,color="black",shape="box"];656 -> 662[label="",style="solid", color="black", weight=3]; 657[label="xv3000",fontsize=16,color="green",shape="box"];658[label="xv4000",fontsize=16,color="green",shape="box"];659[label="Pos (primMulNat xv3000 xv4010)",fontsize=16,color="green",shape="box"];659 -> 663[label="",style="dashed", color="green", weight=3]; 660[label="Neg (primMulNat xv3000 xv4010)",fontsize=16,color="green",shape="box"];660 -> 664[label="",style="dashed", color="green", weight=3]; 661[label="Neg (primMulNat xv3000 xv4010)",fontsize=16,color="green",shape="box"];661 -> 665[label="",style="dashed", color="green", weight=3]; 662[label="Pos (primMulNat xv3000 xv4010)",fontsize=16,color="green",shape="box"];662 -> 666[label="",style="dashed", color="green", weight=3]; 663[label="primMulNat xv3000 xv4010",fontsize=16,color="burlywood",shape="triangle"];927[label="xv3000/Succ xv30000",fontsize=10,color="white",style="solid",shape="box"];663 -> 927[label="",style="solid", color="burlywood", weight=9]; 927 -> 667[label="",style="solid", color="burlywood", weight=3]; 928[label="xv3000/Zero",fontsize=10,color="white",style="solid",shape="box"];663 -> 928[label="",style="solid", color="burlywood", weight=9]; 928 -> 668[label="",style="solid", color="burlywood", weight=3]; 664 -> 663[label="",style="dashed", color="red", weight=0]; 664[label="primMulNat xv3000 xv4010",fontsize=16,color="magenta"];664 -> 669[label="",style="dashed", color="magenta", weight=3]; 665 -> 663[label="",style="dashed", color="red", weight=0]; 665[label="primMulNat xv3000 xv4010",fontsize=16,color="magenta"];665 -> 670[label="",style="dashed", color="magenta", weight=3]; 666 -> 663[label="",style="dashed", color="red", weight=0]; 666[label="primMulNat xv3000 xv4010",fontsize=16,color="magenta"];666 -> 671[label="",style="dashed", color="magenta", weight=3]; 666 -> 672[label="",style="dashed", color="magenta", weight=3]; 667[label="primMulNat (Succ xv30000) xv4010",fontsize=16,color="burlywood",shape="box"];929[label="xv4010/Succ xv40100",fontsize=10,color="white",style="solid",shape="box"];667 -> 929[label="",style="solid", color="burlywood", weight=9]; 929 -> 673[label="",style="solid", color="burlywood", weight=3]; 930[label="xv4010/Zero",fontsize=10,color="white",style="solid",shape="box"];667 -> 930[label="",style="solid", color="burlywood", weight=9]; 930 -> 674[label="",style="solid", color="burlywood", weight=3]; 668[label="primMulNat Zero xv4010",fontsize=16,color="burlywood",shape="box"];931[label="xv4010/Succ xv40100",fontsize=10,color="white",style="solid",shape="box"];668 -> 931[label="",style="solid", color="burlywood", weight=9]; 931 -> 675[label="",style="solid", color="burlywood", weight=3]; 932[label="xv4010/Zero",fontsize=10,color="white",style="solid",shape="box"];668 -> 932[label="",style="solid", color="burlywood", weight=9]; 932 -> 676[label="",style="solid", color="burlywood", weight=3]; 669[label="xv4010",fontsize=16,color="green",shape="box"];670[label="xv3000",fontsize=16,color="green",shape="box"];671[label="xv4010",fontsize=16,color="green",shape="box"];672[label="xv3000",fontsize=16,color="green",shape="box"];673[label="primMulNat (Succ xv30000) (Succ xv40100)",fontsize=16,color="black",shape="box"];673 -> 677[label="",style="solid", color="black", weight=3]; 674[label="primMulNat (Succ xv30000) Zero",fontsize=16,color="black",shape="box"];674 -> 678[label="",style="solid", color="black", weight=3]; 675[label="primMulNat Zero (Succ xv40100)",fontsize=16,color="black",shape="box"];675 -> 679[label="",style="solid", color="black", weight=3]; 676[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];676 -> 680[label="",style="solid", color="black", weight=3]; 677 -> 681[label="",style="dashed", color="red", weight=0]; 677[label="primPlusNat (primMulNat xv30000 (Succ xv40100)) (Succ xv40100)",fontsize=16,color="magenta"];677 -> 682[label="",style="dashed", color="magenta", weight=3]; 678[label="Zero",fontsize=16,color="green",shape="box"];679[label="Zero",fontsize=16,color="green",shape="box"];680[label="Zero",fontsize=16,color="green",shape="box"];682 -> 663[label="",style="dashed", color="red", weight=0]; 682[label="primMulNat xv30000 (Succ xv40100)",fontsize=16,color="magenta"];682 -> 683[label="",style="dashed", color="magenta", weight=3]; 682 -> 684[label="",style="dashed", color="magenta", weight=3]; 681[label="primPlusNat xv21 (Succ xv40100)",fontsize=16,color="burlywood",shape="triangle"];933[label="xv21/Succ xv210",fontsize=10,color="white",style="solid",shape="box"];681 -> 933[label="",style="solid", color="burlywood", weight=9]; 933 -> 685[label="",style="solid", color="burlywood", weight=3]; 934[label="xv21/Zero",fontsize=10,color="white",style="solid",shape="box"];681 -> 934[label="",style="solid", color="burlywood", weight=9]; 934 -> 686[label="",style="solid", color="burlywood", weight=3]; 683[label="Succ xv40100",fontsize=16,color="green",shape="box"];684[label="xv30000",fontsize=16,color="green",shape="box"];685[label="primPlusNat (Succ xv210) (Succ xv40100)",fontsize=16,color="black",shape="box"];685 -> 687[label="",style="solid", color="black", weight=3]; 686[label="primPlusNat Zero (Succ xv40100)",fontsize=16,color="black",shape="box"];686 -> 688[label="",style="solid", color="black", weight=3]; 687[label="Succ (Succ (primPlusNat xv210 xv40100))",fontsize=16,color="green",shape="box"];687 -> 689[label="",style="dashed", color="green", weight=3]; 688[label="Succ xv40100",fontsize=16,color="green",shape="box"];689[label="primPlusNat xv210 xv40100",fontsize=16,color="burlywood",shape="triangle"];935[label="xv210/Succ xv2100",fontsize=10,color="white",style="solid",shape="box"];689 -> 935[label="",style="solid", color="burlywood", weight=9]; 935 -> 690[label="",style="solid", color="burlywood", weight=3]; 936[label="xv210/Zero",fontsize=10,color="white",style="solid",shape="box"];689 -> 936[label="",style="solid", color="burlywood", weight=9]; 936 -> 691[label="",style="solid", color="burlywood", weight=3]; 690[label="primPlusNat (Succ xv2100) xv40100",fontsize=16,color="burlywood",shape="box"];937[label="xv40100/Succ xv401000",fontsize=10,color="white",style="solid",shape="box"];690 -> 937[label="",style="solid", color="burlywood", weight=9]; 937 -> 692[label="",style="solid", color="burlywood", weight=3]; 938[label="xv40100/Zero",fontsize=10,color="white",style="solid",shape="box"];690 -> 938[label="",style="solid", color="burlywood", weight=9]; 938 -> 693[label="",style="solid", color="burlywood", weight=3]; 691[label="primPlusNat Zero xv40100",fontsize=16,color="burlywood",shape="box"];939[label="xv40100/Succ xv401000",fontsize=10,color="white",style="solid",shape="box"];691 -> 939[label="",style="solid", color="burlywood", weight=9]; 939 -> 694[label="",style="solid", color="burlywood", weight=3]; 940[label="xv40100/Zero",fontsize=10,color="white",style="solid",shape="box"];691 -> 940[label="",style="solid", color="burlywood", weight=9]; 940 -> 695[label="",style="solid", color="burlywood", weight=3]; 692[label="primPlusNat (Succ xv2100) (Succ xv401000)",fontsize=16,color="black",shape="box"];692 -> 696[label="",style="solid", color="black", weight=3]; 693[label="primPlusNat (Succ xv2100) Zero",fontsize=16,color="black",shape="box"];693 -> 697[label="",style="solid", color="black", weight=3]; 694[label="primPlusNat Zero (Succ xv401000)",fontsize=16,color="black",shape="box"];694 -> 698[label="",style="solid", color="black", weight=3]; 695[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];695 -> 699[label="",style="solid", color="black", weight=3]; 696[label="Succ (Succ (primPlusNat xv2100 xv401000))",fontsize=16,color="green",shape="box"];696 -> 700[label="",style="dashed", color="green", weight=3]; 697[label="Succ xv2100",fontsize=16,color="green",shape="box"];698[label="Succ xv401000",fontsize=16,color="green",shape="box"];699[label="Zero",fontsize=16,color="green",shape="box"];700 -> 689[label="",style="dashed", color="red", weight=0]; 700[label="primPlusNat xv2100 xv401000",fontsize=16,color="magenta"];700 -> 701[label="",style="dashed", color="magenta", weight=3]; 700 -> 702[label="",style="dashed", color="magenta", weight=3]; 701[label="xv401000",fontsize=16,color="green",shape="box"];702[label="xv2100",fontsize=16,color="green",shape="box"];} ---------------------------------------- (6) Complex Obligation (AND) ---------------------------------------- (7) Obligation: Q DP problem: The TRS P consists of the following rules: new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, bag), app(ty_[], bah))) -> new_esEs(xv301, xv401, bah) new_esEs3(Just(xv300), Just(xv400), app(app(ty_Either, bce), bcf)) -> new_esEs1(xv300, xv400, bce, bcf) new_esEs1(Left(xv300), Left(xv400), app(app(ty_Either, ff), fg), fa) -> new_esEs1(xv300, xv400, ff, fg) new_esEs1(Right(xv300), Right(xv400), gc, app(ty_Maybe, hd)) -> new_esEs3(xv300, xv400, hd) new_esEs(:(Left(xv300), xv31), :(Left(xv400), xv41), app(app(ty_Either, app(app(app(ty_@3, fb), fc), fd)), fa)) -> new_esEs0(xv300, xv400, fb, fc, fd) new_esEs3(Just(xv300), Just(xv400), app(app(app(ty_@3, bcb), bcc), bcd)) -> new_esEs0(xv300, xv400, bcb, bcc, bcd) new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(ty_[], ba)), bb), bc)) -> new_esEs(xv300, xv400, ba) new_esEs(:(Left(xv300), xv31), :(Left(xv400), xv41), app(app(ty_Either, app(app(ty_@2, fh), ga)), fa)) -> new_esEs2(xv300, xv400, fh, ga) new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, cd), bb), app(ty_Maybe, eg))) -> new_esEs3(xv302, xv402, eg) new_esEs(:(Just(xv300), xv31), :(Just(xv400), xv41), app(ty_Maybe, app(app(app(ty_@3, bcb), bcc), bcd))) -> new_esEs0(xv300, xv400, bcb, bcc, bcd) new_esEs(:(Left(xv300), xv31), :(Left(xv400), xv41), app(app(ty_Either, app(ty_[], eh)), fa)) -> new_esEs(xv300, xv400, eh) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), cd, app(ty_Maybe, df), bc) -> new_esEs3(xv301, xv401, df) new_esEs2(@2(xv300, xv301), @2(xv400, xv401), bag, app(ty_Maybe, bbh)) -> new_esEs3(xv301, xv401, bbh) new_esEs(:(Left(xv300), xv31), :(Left(xv400), xv41), app(app(ty_Either, app(ty_Maybe, gb)), fa)) -> new_esEs3(xv300, xv400, gb) new_esEs2(@2(xv300, xv301), @2(xv400, xv401), bag, app(app(ty_@2, bbf), bbg)) -> new_esEs2(xv301, xv401, bbf, bbg) new_esEs(:(Right(xv300), xv31), :(Right(xv400), xv41), app(app(ty_Either, gc), app(ty_[], gd))) -> new_esEs(xv300, xv400, gd) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), cd, bb, app(ty_Maybe, eg)) -> new_esEs3(xv302, xv402, eg) new_esEs2(@2(xv300, xv301), @2(xv400, xv401), app(ty_Maybe, baf), hf) -> new_esEs3(xv300, xv400, baf) new_esEs(:(Right(xv300), xv31), :(Right(xv400), xv41), app(app(ty_Either, gc), app(app(ty_@2, hb), hc))) -> new_esEs2(xv300, xv400, hb, hc) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), cd, bb, app(app(ty_@2, ee), ef)) -> new_esEs2(xv302, xv402, ee, ef) new_esEs(:(xv30, xv31), :(xv40, xv41), app(ty_[], h)) -> new_esEs(xv30, xv40, h) new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, bag), app(app(ty_@2, bbf), bbg))) -> new_esEs2(xv301, xv401, bbf, bbg) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_Maybe, cc), bb, bc) -> new_esEs3(xv300, xv400, cc) new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, bag), app(app(ty_Either, bbd), bbe))) -> new_esEs1(xv301, xv401, bbd, bbe) new_esEs1(Left(xv300), Left(xv400), app(ty_Maybe, gb), fa) -> new_esEs3(xv300, xv400, gb) new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, app(app(ty_@2, bad), bae)), hf)) -> new_esEs2(xv300, xv400, bad, bae) new_esEs1(Left(xv300), Left(xv400), app(app(app(ty_@3, fb), fc), fd), fa) -> new_esEs0(xv300, xv400, fb, fc, fd) new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, bag), app(ty_Maybe, bbh))) -> new_esEs3(xv301, xv401, bbh) new_esEs3(Just(xv300), Just(xv400), app(ty_[], bca)) -> new_esEs(xv300, xv400, bca) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_[], ba), bb, bc) -> new_esEs(xv300, xv400, ba) new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(app(ty_@2, ca), cb)), bb), bc)) -> new_esEs2(xv300, xv400, ca, cb) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), cd, bb, app(ty_[], dg)) -> new_esEs(xv302, xv402, dg) new_esEs1(Left(xv300), Left(xv400), app(app(ty_@2, fh), ga), fa) -> new_esEs2(xv300, xv400, fh, ga) new_esEs1(Right(xv300), Right(xv400), gc, app(app(app(ty_@3, ge), gf), gg)) -> new_esEs0(xv300, xv400, ge, gf, gg) new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, app(ty_Maybe, baf)), hf)) -> new_esEs3(xv300, xv400, baf) new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, cd), app(app(ty_@2, dd), de)), bc)) -> new_esEs2(xv301, xv401, dd, de) new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, app(app(ty_Either, bab), bac)), hf)) -> new_esEs1(xv300, xv400, bab, bac) new_esEs2(@2(xv300, xv301), @2(xv400, xv401), app(app(ty_Either, bab), bac), hf) -> new_esEs1(xv300, xv400, bab, bac) new_esEs(:(Right(xv300), xv31), :(Right(xv400), xv41), app(app(ty_Either, gc), app(app(ty_Either, gh), ha))) -> new_esEs1(xv300, xv400, gh, ha) new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, cd), app(ty_[], ce)), bc)) -> new_esEs(xv301, xv401, ce) new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(app(app(ty_@3, bd), be), bf)), bb), bc)) -> new_esEs0(xv300, xv400, bd, be, bf) new_esEs(:(Right(xv300), xv31), :(Right(xv400), xv41), app(app(ty_Either, gc), app(app(app(ty_@3, ge), gf), gg))) -> new_esEs0(xv300, xv400, ge, gf, gg) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), cd, bb, app(app(ty_Either, ec), ed)) -> new_esEs1(xv302, xv402, ec, ed) new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, cd), app(app(app(ty_@3, cf), cg), da)), bc)) -> new_esEs0(xv301, xv401, cf, cg, da) new_esEs(:(Just(xv300), xv31), :(Just(xv400), xv41), app(ty_Maybe, app(ty_Maybe, bda))) -> new_esEs3(xv300, xv400, bda) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), cd, app(app(app(ty_@3, cf), cg), da), bc) -> new_esEs0(xv301, xv401, cf, cg, da) new_esEs(:(Just(xv300), xv31), :(Just(xv400), xv41), app(ty_Maybe, app(app(ty_@2, bcg), bch))) -> new_esEs2(xv300, xv400, bcg, bch) new_esEs2(@2(xv300, xv301), @2(xv400, xv401), bag, app(ty_[], bah)) -> new_esEs(xv301, xv401, bah) new_esEs(:(xv30, xv31), :(xv40, xv41), bdb) -> new_esEs(xv31, xv41, bdb) new_esEs(:(Left(xv300), xv31), :(Left(xv400), xv41), app(app(ty_Either, app(app(ty_Either, ff), fg)), fa)) -> new_esEs1(xv300, xv400, ff, fg) new_esEs(:(Just(xv300), xv31), :(Just(xv400), xv41), app(ty_Maybe, app(app(ty_Either, bce), bcf))) -> new_esEs1(xv300, xv400, bce, bcf) new_esEs3(Just(xv300), Just(xv400), app(ty_Maybe, bda)) -> new_esEs3(xv300, xv400, bda) new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, bag), app(app(app(ty_@3, bba), bbb), bbc))) -> new_esEs0(xv301, xv401, bba, bbb, bbc) new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, cd), app(app(ty_Either, db), dc)), bc)) -> new_esEs1(xv301, xv401, db, dc) new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, cd), bb), app(app(ty_Either, ec), ed))) -> new_esEs1(xv302, xv402, ec, ed) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_Either, bg), bh), bb, bc) -> new_esEs1(xv300, xv400, bg, bh) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), cd, app(app(ty_@2, dd), de), bc) -> new_esEs2(xv301, xv401, dd, de) new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, cd), bb), app(app(ty_@2, ee), ef))) -> new_esEs2(xv302, xv402, ee, ef) new_esEs2(@2(xv300, xv301), @2(xv400, xv401), app(app(ty_@2, bad), bae), hf) -> new_esEs2(xv300, xv400, bad, bae) new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, cd), bb), app(app(app(ty_@3, dh), ea), eb))) -> new_esEs0(xv302, xv402, dh, ea, eb) new_esEs1(Right(xv300), Right(xv400), gc, app(app(ty_@2, hb), hc)) -> new_esEs2(xv300, xv400, hb, hc) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), cd, bb, app(app(app(ty_@3, dh), ea), eb)) -> new_esEs0(xv302, xv402, dh, ea, eb) new_esEs1(Left(xv300), Left(xv400), app(ty_[], eh), fa) -> new_esEs(xv300, xv400, eh) new_esEs(:(Just(xv300), xv31), :(Just(xv400), xv41), app(ty_Maybe, app(ty_[], bca))) -> new_esEs(xv300, xv400, bca) new_esEs3(Just(xv300), Just(xv400), app(app(ty_@2, bcg), bch)) -> new_esEs2(xv300, xv400, bcg, bch) new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, app(ty_[], he)), hf)) -> new_esEs(xv300, xv400, he) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), cd, app(ty_[], ce), bc) -> new_esEs(xv301, xv401, ce) new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, cd), bb), app(ty_[], dg))) -> new_esEs(xv302, xv402, dg) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), cd, app(app(ty_Either, db), dc), bc) -> new_esEs1(xv301, xv401, db, dc) new_esEs2(@2(xv300, xv301), @2(xv400, xv401), app(ty_[], he), hf) -> new_esEs(xv300, xv400, he) new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, app(app(app(ty_@3, hg), hh), baa)), hf)) -> new_esEs0(xv300, xv400, hg, hh, baa) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_@2, ca), cb), bb, bc) -> new_esEs2(xv300, xv400, ca, cb) new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(app(ty_Either, bg), bh)), bb), bc)) -> new_esEs1(xv300, xv400, bg, bh) new_esEs2(@2(xv300, xv301), @2(xv400, xv401), app(app(app(ty_@3, hg), hh), baa), hf) -> new_esEs0(xv300, xv400, hg, hh, baa) new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, cd), app(ty_Maybe, df)), bc)) -> new_esEs3(xv301, xv401, df) new_esEs1(Right(xv300), Right(xv400), gc, app(ty_[], gd)) -> new_esEs(xv300, xv400, gd) new_esEs1(Right(xv300), Right(xv400), gc, app(app(ty_Either, gh), ha)) -> new_esEs1(xv300, xv400, gh, ha) new_esEs2(@2(xv300, xv301), @2(xv400, xv401), bag, app(app(ty_Either, bbd), bbe)) -> new_esEs1(xv301, xv401, bbd, bbe) new_esEs(:(Right(xv300), xv31), :(Right(xv400), xv41), app(app(ty_Either, gc), app(ty_Maybe, hd))) -> new_esEs3(xv300, xv400, hd) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(app(ty_@3, bd), be), bf), bb, bc) -> new_esEs0(xv300, xv400, bd, be, bf) new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(ty_Maybe, cc)), bb), bc)) -> new_esEs3(xv300, xv400, cc) new_esEs2(@2(xv300, xv301), @2(xv400, xv401), bag, app(app(app(ty_@3, bba), bbb), bbc)) -> new_esEs0(xv301, xv401, bba, bbb, bbc) 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(xv300), Just(xv400), app(ty_[], bca)) -> new_esEs(xv300, xv400, bca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Just(xv300), Just(xv400), app(ty_Maybe, bda)) -> new_esEs3(xv300, xv400, bda) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Just(xv300), Just(xv400), app(app(ty_Either, bce), bcf)) -> new_esEs1(xv300, xv400, bce, bcf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Just(xv300), Just(xv400), app(app(app(ty_@3, bcb), bcc), bcd)) -> new_esEs0(xv300, xv400, bcb, bcc, bcd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(Just(xv300), Just(xv400), app(app(ty_@2, bcg), bch)) -> new_esEs2(xv300, xv400, bcg, bch) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, bag), app(ty_[], bah))) -> new_esEs(xv301, xv401, bah) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(ty_[], ba)), bb), bc)) -> new_esEs(xv300, xv400, ba) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(Left(xv300), xv31), :(Left(xv400), xv41), app(app(ty_Either, app(ty_[], eh)), fa)) -> new_esEs(xv300, xv400, eh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(Right(xv300), xv31), :(Right(xv400), xv41), app(app(ty_Either, gc), app(ty_[], gd))) -> new_esEs(xv300, xv400, gd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(xv30, xv31), :(xv40, xv41), app(ty_[], h)) -> new_esEs(xv30, xv40, h) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, cd), app(ty_[], ce)), bc)) -> new_esEs(xv301, xv401, ce) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(xv30, xv31), :(xv40, xv41), bdb) -> new_esEs(xv31, xv41, bdb) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs(:(Just(xv300), xv31), :(Just(xv400), xv41), app(ty_Maybe, app(ty_[], bca))) -> new_esEs(xv300, xv400, bca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, app(ty_[], he)), hf)) -> new_esEs(xv300, xv400, he) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, cd), bb), app(ty_[], dg))) -> new_esEs(xv302, xv402, dg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, cd), bb), app(ty_Maybe, eg))) -> new_esEs3(xv302, xv402, eg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(Left(xv300), xv31), :(Left(xv400), xv41), app(app(ty_Either, app(ty_Maybe, gb)), fa)) -> new_esEs3(xv300, xv400, gb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, bag), app(ty_Maybe, bbh))) -> new_esEs3(xv301, xv401, bbh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, app(ty_Maybe, baf)), hf)) -> new_esEs3(xv300, xv400, baf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(Just(xv300), xv31), :(Just(xv400), xv41), app(ty_Maybe, app(ty_Maybe, bda))) -> new_esEs3(xv300, xv400, bda) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, cd), app(ty_Maybe, df)), bc)) -> new_esEs3(xv301, xv401, df) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(Right(xv300), xv31), :(Right(xv400), xv41), app(app(ty_Either, gc), app(ty_Maybe, hd))) -> new_esEs3(xv300, xv400, hd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(ty_Maybe, cc)), bb), bc)) -> new_esEs3(xv300, xv400, cc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, bag), app(app(ty_Either, bbd), bbe))) -> new_esEs1(xv301, xv401, bbd, bbe) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, app(app(ty_Either, bab), bac)), hf)) -> new_esEs1(xv300, xv400, bab, bac) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(Right(xv300), xv31), :(Right(xv400), xv41), app(app(ty_Either, gc), app(app(ty_Either, gh), ha))) -> new_esEs1(xv300, xv400, gh, ha) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(Left(xv300), xv31), :(Left(xv400), xv41), app(app(ty_Either, app(app(ty_Either, ff), fg)), fa)) -> new_esEs1(xv300, xv400, ff, fg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(Just(xv300), xv31), :(Just(xv400), xv41), app(ty_Maybe, app(app(ty_Either, bce), bcf))) -> new_esEs1(xv300, xv400, bce, bcf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, cd), app(app(ty_Either, db), dc)), bc)) -> new_esEs1(xv301, xv401, db, dc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, cd), bb), app(app(ty_Either, ec), ed))) -> new_esEs1(xv302, xv402, ec, ed) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(app(ty_Either, bg), bh)), bb), bc)) -> new_esEs1(xv300, xv400, bg, bh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(Left(xv300), xv31), :(Left(xv400), xv41), app(app(ty_Either, app(app(app(ty_@3, fb), fc), fd)), fa)) -> new_esEs0(xv300, xv400, fb, fc, fd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(:(Just(xv300), xv31), :(Just(xv400), xv41), app(ty_Maybe, app(app(app(ty_@3, bcb), bcc), bcd))) -> new_esEs0(xv300, xv400, bcb, bcc, bcd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(app(app(ty_@3, bd), be), bf)), bb), bc)) -> new_esEs0(xv300, xv400, bd, be, bf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(:(Right(xv300), xv31), :(Right(xv400), xv41), app(app(ty_Either, gc), app(app(app(ty_@3, ge), gf), gg))) -> new_esEs0(xv300, xv400, ge, gf, gg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, cd), app(app(app(ty_@3, cf), cg), da)), bc)) -> new_esEs0(xv301, xv401, cf, cg, da) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, bag), app(app(app(ty_@3, bba), bbb), bbc))) -> new_esEs0(xv301, xv401, bba, bbb, bbc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, cd), bb), app(app(app(ty_@3, dh), ea), eb))) -> new_esEs0(xv302, xv402, dh, ea, eb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, app(app(app(ty_@3, hg), hh), baa)), hf)) -> new_esEs0(xv300, xv400, hg, hh, baa) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(:(Left(xv300), xv31), :(Left(xv400), xv41), app(app(ty_Either, app(app(ty_@2, fh), ga)), fa)) -> new_esEs2(xv300, xv400, fh, ga) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(Right(xv300), xv31), :(Right(xv400), xv41), app(app(ty_Either, gc), app(app(ty_@2, hb), hc))) -> new_esEs2(xv300, xv400, hb, hc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, bag), app(app(ty_@2, bbf), bbg))) -> new_esEs2(xv301, xv401, bbf, bbg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, app(app(ty_@2, bad), bae)), hf)) -> new_esEs2(xv300, xv400, bad, bae) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(app(ty_@2, ca), cb)), bb), bc)) -> new_esEs2(xv300, xv400, ca, cb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, cd), app(app(ty_@2, dd), de)), bc)) -> new_esEs2(xv301, xv401, dd, de) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(Just(xv300), xv31), :(Just(xv400), xv41), app(ty_Maybe, app(app(ty_@2, bcg), bch))) -> new_esEs2(xv300, xv400, bcg, bch) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, cd), bb), app(app(ty_@2, ee), ef))) -> new_esEs2(xv302, xv402, ee, ef) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Left(xv300), Left(xv400), app(ty_[], eh), fa) -> new_esEs(xv300, xv400, eh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Right(xv300), Right(xv400), gc, app(ty_[], gd)) -> new_esEs(xv300, xv400, gd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_[], ba), bb, bc) -> new_esEs(xv300, xv400, ba) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), cd, bb, app(ty_[], dg)) -> new_esEs(xv302, xv402, dg) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), cd, app(ty_[], ce), bc) -> new_esEs(xv301, xv401, ce) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@2(xv300, xv301), @2(xv400, xv401), bag, app(ty_[], bah)) -> new_esEs(xv301, xv401, bah) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@2(xv300, xv301), @2(xv400, xv401), app(ty_[], he), hf) -> new_esEs(xv300, xv400, he) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Right(xv300), Right(xv400), gc, app(ty_Maybe, hd)) -> new_esEs3(xv300, xv400, hd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(Left(xv300), Left(xv400), app(ty_Maybe, gb), fa) -> new_esEs3(xv300, xv400, gb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Left(xv300), Left(xv400), app(app(ty_Either, ff), fg), fa) -> new_esEs1(xv300, xv400, ff, fg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Right(xv300), Right(xv400), gc, app(app(ty_Either, gh), ha)) -> new_esEs1(xv300, xv400, gh, ha) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(Left(xv300), Left(xv400), app(app(app(ty_@3, fb), fc), fd), fa) -> new_esEs0(xv300, xv400, fb, fc, fd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(Right(xv300), Right(xv400), gc, app(app(app(ty_@3, ge), gf), gg)) -> new_esEs0(xv300, xv400, ge, gf, gg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs1(Left(xv300), Left(xv400), app(app(ty_@2, fh), ga), fa) -> new_esEs2(xv300, xv400, fh, ga) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Right(xv300), Right(xv400), gc, app(app(ty_@2, hb), hc)) -> new_esEs2(xv300, xv400, hb, hc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), cd, app(ty_Maybe, df), bc) -> new_esEs3(xv301, xv401, df) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), cd, bb, app(ty_Maybe, eg)) -> new_esEs3(xv302, xv402, eg) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_Maybe, cc), bb, bc) -> new_esEs3(xv300, xv400, cc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@2(xv300, xv301), @2(xv400, xv401), bag, app(ty_Maybe, bbh)) -> new_esEs3(xv301, xv401, bbh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@2(xv300, xv301), @2(xv400, xv401), app(ty_Maybe, baf), hf) -> new_esEs3(xv300, xv400, baf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), cd, bb, app(app(ty_Either, ec), ed)) -> new_esEs1(xv302, xv402, ec, ed) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_Either, bg), bh), bb, bc) -> new_esEs1(xv300, xv400, bg, bh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), cd, app(app(ty_Either, db), dc), bc) -> new_esEs1(xv301, xv401, db, dc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@2(xv300, xv301), @2(xv400, xv401), app(app(ty_Either, bab), bac), hf) -> new_esEs1(xv300, xv400, bab, bac) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@2(xv300, xv301), @2(xv400, xv401), bag, app(app(ty_Either, bbd), bbe)) -> new_esEs1(xv301, xv401, bbd, bbe) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), cd, app(app(app(ty_@3, cf), cg), da), bc) -> new_esEs0(xv301, xv401, cf, cg, da) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), cd, bb, app(app(app(ty_@3, dh), ea), eb)) -> new_esEs0(xv302, xv402, dh, ea, eb) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(app(ty_@3, bd), be), bf), bb, bc) -> new_esEs0(xv300, xv400, bd, be, bf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), cd, bb, app(app(ty_@2, ee), ef)) -> new_esEs2(xv302, xv402, ee, ef) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), cd, app(app(ty_@2, dd), de), bc) -> new_esEs2(xv301, xv401, dd, de) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_@2, ca), cb), bb, bc) -> new_esEs2(xv300, xv400, ca, cb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@2(xv300, xv301), @2(xv400, xv401), app(app(app(ty_@3, hg), hh), baa), hf) -> new_esEs0(xv300, xv400, hg, hh, baa) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(@2(xv300, xv301), @2(xv400, xv401), bag, app(app(app(ty_@3, bba), bbb), bbc)) -> new_esEs0(xv301, xv401, bba, bbb, bbc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs2(@2(xv300, xv301), @2(xv400, xv401), bag, app(app(ty_@2, bbf), bbg)) -> new_esEs2(xv301, xv401, bbf, bbg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@2(xv300, xv301), @2(xv400, xv401), app(app(ty_@2, bad), bae), hf) -> new_esEs2(xv300, xv400, bad, bae) 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_primMulNat(Succ(xv30000), Succ(xv40100)) -> new_primMulNat(xv30000, Succ(xv40100)) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (11) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primMulNat(Succ(xv30000), Succ(xv40100)) -> new_primMulNat(xv30000, Succ(xv40100)) The graph contains the following edges 1 > 1, 2 >= 2 ---------------------------------------- (12) YES ---------------------------------------- (13) Obligation: Q DP problem: The TRS P consists of the following rules: new_primPlusNat(Succ(xv2100), Succ(xv401000)) -> new_primPlusNat(xv2100, xv401000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (14) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primPlusNat(Succ(xv2100), Succ(xv401000)) -> new_primPlusNat(xv2100, xv401000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (15) YES ---------------------------------------- (16) Obligation: Q DP problem: The TRS P consists of the following rules: new_primEqNat(Succ(xv3000), Succ(xv4000)) -> new_primEqNat(xv3000, xv4000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (17) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primEqNat(Succ(xv3000), Succ(xv4000)) -> new_primEqNat(xv3000, xv4000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (18) YES