13.71/5.39 YES 16.04/6.02 proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs 16.04/6.02 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 16.04/6.02 16.04/6.02 16.04/6.02 H-Termination with start terms of the given HASKELL could be proven: 16.04/6.02 16.04/6.02 (0) HASKELL 16.04/6.02 (1) LR [EQUIVALENT, 0 ms] 16.04/6.02 (2) HASKELL 16.04/6.02 (3) CR [EQUIVALENT, 0 ms] 16.04/6.02 (4) HASKELL 16.04/6.02 (5) IFR [EQUIVALENT, 0 ms] 16.04/6.02 (6) HASKELL 16.04/6.02 (7) BR [EQUIVALENT, 0 ms] 16.04/6.02 (8) HASKELL 16.04/6.02 (9) COR [EQUIVALENT, 11 ms] 16.04/6.02 (10) HASKELL 16.04/6.02 (11) Narrow [SOUND, 0 ms] 16.04/6.02 (12) AND 16.04/6.02 (13) QDP 16.04/6.02 (14) DependencyGraphProof [EQUIVALENT, 0 ms] 16.04/6.02 (15) AND 16.04/6.02 (16) QDP 16.04/6.02 (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] 16.04/6.02 (18) YES 16.04/6.02 (19) QDP 16.04/6.02 (20) QDPSizeChangeProof [EQUIVALENT, 0 ms] 16.04/6.02 (21) YES 16.04/6.02 (22) QDP 16.04/6.02 (23) QDPSizeChangeProof [EQUIVALENT, 0 ms] 16.04/6.02 (24) YES 16.04/6.02 (25) QDP 16.04/6.02 (26) QDPSizeChangeProof [EQUIVALENT, 0 ms] 16.04/6.02 (27) YES 16.04/6.02 (28) QDP 16.04/6.02 (29) QDPSizeChangeProof [EQUIVALENT, 0 ms] 16.04/6.02 (30) YES 16.04/6.02 (31) QDP 16.04/6.02 (32) QDPSizeChangeProof [EQUIVALENT, 0 ms] 16.04/6.02 (33) YES 16.04/6.02 (34) QDP 16.04/6.02 (35) QDPSizeChangeProof [EQUIVALENT, 0 ms] 16.04/6.02 (36) YES 16.04/6.02 16.04/6.02 16.04/6.02 ---------------------------------------- 16.04/6.02 16.04/6.02 (0) 16.04/6.02 Obligation: 16.04/6.02 mainModule Main 16.04/6.02 module Maybe where { 16.04/6.02 import qualified List; 16.04/6.02 import qualified Main; 16.04/6.02 import qualified Prelude; 16.04/6.02 } 16.04/6.02 module List where { 16.04/6.02 import qualified Main; 16.04/6.02 import qualified Maybe; 16.04/6.02 import qualified Prelude; 16.04/6.02 intersect :: Eq a => [a] -> [a] -> [a]; 16.04/6.02 intersect = intersectBy (==); 16.04/6.02 16.04/6.02 intersectBy :: (a -> a -> Bool) -> [a] -> [a] -> [a]; 16.04/6.02 intersectBy eq xs ys = concatMap (\vv2 ->case vv2 of { 16.04/6.02 x-> if any (eq x) ys then x : [] else []; 16.04/6.02 _-> []; 16.04/6.02 } ) xs; 16.04/6.02 16.04/6.02 } 16.04/6.02 module Main where { 16.04/6.02 import qualified List; 16.04/6.02 import qualified Maybe; 16.04/6.02 import qualified Prelude; 16.04/6.02 } 16.04/6.02 16.04/6.02 ---------------------------------------- 16.04/6.02 16.04/6.02 (1) LR (EQUIVALENT) 16.04/6.02 Lambda Reductions: 16.04/6.02 The following Lambda expression 16.04/6.02 "\vv2->case vv2 of { 16.04/6.02 x -> if any (eq x) ys then x : [] else []; 16.04/6.02 _ -> []} 16.04/6.02 " 16.04/6.02 is transformed to 16.04/6.02 "intersectBy0 eq ys vv2 = case vv2 of { 16.04/6.02 x -> if any (eq x) ys then x : [] else []; 16.04/6.02 _ -> []} 16.04/6.02 ; 16.04/6.02 " 16.04/6.02 16.04/6.02 ---------------------------------------- 16.04/6.02 16.04/6.02 (2) 16.04/6.02 Obligation: 16.04/6.02 mainModule Main 16.04/6.02 module Maybe where { 16.04/6.02 import qualified List; 16.04/6.02 import qualified Main; 16.04/6.02 import qualified Prelude; 16.04/6.02 } 16.04/6.02 module List where { 16.04/6.02 import qualified Main; 16.04/6.02 import qualified Maybe; 16.04/6.02 import qualified Prelude; 16.04/6.02 intersect :: Eq a => [a] -> [a] -> [a]; 16.04/6.02 intersect = intersectBy (==); 16.04/6.02 16.04/6.02 intersectBy :: (a -> a -> Bool) -> [a] -> [a] -> [a]; 16.04/6.02 intersectBy eq xs ys = concatMap (intersectBy0 eq ys) xs; 16.04/6.02 16.04/6.02 intersectBy0 eq ys vv2 = case vv2 of { 16.04/6.02 x-> if any (eq x) ys then x : [] else []; 16.04/6.02 _-> []; 16.04/6.02 } ; 16.04/6.02 16.04/6.02 } 16.04/6.02 module Main where { 16.04/6.02 import qualified List; 16.04/6.02 import qualified Maybe; 16.04/6.02 import qualified Prelude; 16.04/6.02 } 16.04/6.02 16.04/6.02 ---------------------------------------- 16.04/6.02 16.04/6.02 (3) CR (EQUIVALENT) 16.04/6.02 Case Reductions: 16.04/6.02 The following Case expression 16.04/6.02 "case vv2 of { 16.04/6.02 x -> if any (eq x) ys then x : [] else []; 16.04/6.02 _ -> []} 16.04/6.02 " 16.04/6.02 is transformed to 16.04/6.02 "intersectBy00 eq ys x = if any (eq x) ys then x : [] else []; 16.04/6.02 intersectBy00 eq ys _ = []; 16.04/6.02 " 16.04/6.02 16.04/6.02 ---------------------------------------- 16.04/6.02 16.04/6.02 (4) 16.04/6.02 Obligation: 16.04/6.02 mainModule Main 16.04/6.02 module Maybe where { 16.04/6.02 import qualified List; 16.04/6.02 import qualified Main; 16.04/6.02 import qualified Prelude; 16.04/6.02 } 16.04/6.02 module List where { 16.04/6.02 import qualified Main; 16.04/6.02 import qualified Maybe; 16.04/6.02 import qualified Prelude; 16.04/6.02 intersect :: Eq a => [a] -> [a] -> [a]; 16.04/6.02 intersect = intersectBy (==); 16.04/6.02 16.04/6.02 intersectBy :: (a -> a -> Bool) -> [a] -> [a] -> [a]; 16.04/6.02 intersectBy eq xs ys = concatMap (intersectBy0 eq ys) xs; 16.04/6.02 16.04/6.02 intersectBy0 eq ys vv2 = intersectBy00 eq ys vv2; 16.04/6.02 16.04/6.02 intersectBy00 eq ys x = if any (eq x) ys then x : [] else []; 16.04/6.02 intersectBy00 eq ys _ = []; 16.04/6.02 16.04/6.02 } 16.04/6.02 module Main where { 16.04/6.02 import qualified List; 16.04/6.02 import qualified Maybe; 16.04/6.02 import qualified Prelude; 16.04/6.02 } 16.04/6.02 16.04/6.02 ---------------------------------------- 16.04/6.02 16.04/6.02 (5) IFR (EQUIVALENT) 16.04/6.02 If Reductions: 16.04/6.02 The following If expression 16.04/6.02 "if any (eq x) ys then x : [] else []" 16.04/6.02 is transformed to 16.04/6.02 "intersectBy000 x True = x : []; 16.04/6.02 intersectBy000 x False = []; 16.04/6.02 " 16.04/6.02 16.04/6.02 ---------------------------------------- 16.04/6.02 16.04/6.02 (6) 16.04/6.02 Obligation: 16.04/6.02 mainModule Main 16.04/6.02 module Maybe where { 16.04/6.02 import qualified List; 16.04/6.02 import qualified Main; 16.04/6.02 import qualified Prelude; 16.04/6.02 } 16.04/6.02 module List where { 16.04/6.02 import qualified Main; 16.04/6.02 import qualified Maybe; 16.04/6.02 import qualified Prelude; 16.04/6.02 intersect :: Eq a => [a] -> [a] -> [a]; 16.04/6.02 intersect = intersectBy (==); 16.04/6.02 16.04/6.02 intersectBy :: (a -> a -> Bool) -> [a] -> [a] -> [a]; 16.04/6.02 intersectBy eq xs ys = concatMap (intersectBy0 eq ys) xs; 16.04/6.02 16.04/6.02 intersectBy0 eq ys vv2 = intersectBy00 eq ys vv2; 16.04/6.02 16.04/6.02 intersectBy00 eq ys x = intersectBy000 x (any (eq x) ys); 16.04/6.02 intersectBy00 eq ys _ = []; 16.04/6.02 16.04/6.02 intersectBy000 x True = x : []; 16.04/6.02 intersectBy000 x False = []; 16.04/6.02 16.04/6.02 } 16.04/6.02 module Main where { 16.04/6.02 import qualified List; 16.04/6.02 import qualified Maybe; 16.04/6.02 import qualified Prelude; 16.04/6.02 } 16.04/6.02 16.04/6.02 ---------------------------------------- 16.04/6.02 16.04/6.02 (7) BR (EQUIVALENT) 16.04/6.02 Replaced joker patterns by fresh variables and removed binding patterns. 16.04/6.02 ---------------------------------------- 16.04/6.02 16.04/6.02 (8) 16.04/6.02 Obligation: 16.04/6.02 mainModule Main 16.04/6.02 module Maybe where { 16.04/6.02 import qualified List; 16.04/6.02 import qualified Main; 16.04/6.02 import qualified Prelude; 16.04/6.02 } 16.04/6.02 module List where { 16.04/6.02 import qualified Main; 16.04/6.02 import qualified Maybe; 16.04/6.02 import qualified Prelude; 16.04/6.02 intersect :: Eq a => [a] -> [a] -> [a]; 16.04/6.02 intersect = intersectBy (==); 16.04/6.02 16.04/6.02 intersectBy :: (a -> a -> Bool) -> [a] -> [a] -> [a]; 16.04/6.02 intersectBy eq xs ys = concatMap (intersectBy0 eq ys) xs; 16.04/6.02 16.04/6.02 intersectBy0 eq ys vv2 = intersectBy00 eq ys vv2; 16.04/6.02 16.04/6.02 intersectBy00 eq ys x = intersectBy000 x (any (eq x) ys); 16.04/6.02 intersectBy00 eq ys xw = []; 16.04/6.02 16.04/6.02 intersectBy000 x True = x : []; 16.04/6.02 intersectBy000 x False = []; 16.04/6.02 16.04/6.02 } 16.04/6.02 module Main where { 16.04/6.02 import qualified List; 16.04/6.02 import qualified Maybe; 16.04/6.02 import qualified Prelude; 16.04/6.02 } 16.04/6.02 16.04/6.02 ---------------------------------------- 16.04/6.02 16.04/6.02 (9) COR (EQUIVALENT) 16.04/6.02 Cond Reductions: 16.04/6.02 The following Function with conditions 16.04/6.02 "undefined |Falseundefined; 16.04/6.02 " 16.04/6.02 is transformed to 16.04/6.02 "undefined = undefined1; 16.04/6.02 " 16.04/6.02 "undefined0 True = undefined; 16.04/6.02 " 16.04/6.02 "undefined1 = undefined0 False; 16.04/6.02 " 16.04/6.02 16.04/6.02 ---------------------------------------- 16.04/6.02 16.04/6.02 (10) 16.04/6.02 Obligation: 16.04/6.02 mainModule Main 16.04/6.02 module Maybe where { 16.04/6.02 import qualified List; 16.04/6.02 import qualified Main; 16.04/6.02 import qualified Prelude; 16.04/6.02 } 16.04/6.02 module List where { 16.04/6.02 import qualified Main; 16.04/6.02 import qualified Maybe; 16.04/6.02 import qualified Prelude; 16.04/6.02 intersect :: Eq a => [a] -> [a] -> [a]; 16.04/6.02 intersect = intersectBy (==); 16.04/6.02 16.04/6.02 intersectBy :: (a -> a -> Bool) -> [a] -> [a] -> [a]; 16.04/6.02 intersectBy eq xs ys = concatMap (intersectBy0 eq ys) xs; 16.04/6.02 16.04/6.02 intersectBy0 eq ys vv2 = intersectBy00 eq ys vv2; 16.04/6.02 16.04/6.02 intersectBy00 eq ys x = intersectBy000 x (any (eq x) ys); 16.04/6.02 intersectBy00 eq ys xw = []; 16.04/6.02 16.04/6.02 intersectBy000 x True = x : []; 16.04/6.02 intersectBy000 x False = []; 16.04/6.02 16.04/6.02 } 16.04/6.02 module Main where { 16.04/6.02 import qualified List; 16.04/6.02 import qualified Maybe; 16.04/6.02 import qualified Prelude; 16.04/6.02 } 16.04/6.02 16.04/6.02 ---------------------------------------- 16.04/6.02 16.04/6.02 (11) Narrow (SOUND) 16.04/6.02 Haskell To QDPs 16.04/6.02 16.04/6.02 digraph dp_graph { 16.04/6.02 node [outthreshold=100, inthreshold=100];1[label="List.intersect",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 16.04/6.02 3[label="List.intersect xx3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 16.04/6.02 4[label="List.intersect xx3 xx4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3]; 16.04/6.02 5[label="List.intersectBy (==) xx3 xx4",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3]; 16.04/6.02 6[label="concatMap (List.intersectBy0 (==) xx4) xx3",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3]; 16.04/6.02 7[label="concat . map (List.intersectBy0 (==) xx4)",fontsize=16,color="black",shape="box"];7 -> 8[label="",style="solid", color="black", weight=3]; 16.04/6.02 8[label="concat (map (List.intersectBy0 (==) xx4) xx3)",fontsize=16,color="black",shape="box"];8 -> 9[label="",style="solid", color="black", weight=3]; 16.04/6.02 9[label="foldr (++) [] (map (List.intersectBy0 (==) xx4) xx3)",fontsize=16,color="burlywood",shape="triangle"];1012[label="xx3/xx30 : xx31",fontsize=10,color="white",style="solid",shape="box"];9 -> 1012[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1012 -> 10[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1013[label="xx3/[]",fontsize=10,color="white",style="solid",shape="box"];9 -> 1013[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1013 -> 11[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 10[label="foldr (++) [] (map (List.intersectBy0 (==) xx4) (xx30 : xx31))",fontsize=16,color="black",shape="box"];10 -> 12[label="",style="solid", color="black", weight=3]; 16.04/6.02 11[label="foldr (++) [] (map (List.intersectBy0 (==) xx4) [])",fontsize=16,color="black",shape="box"];11 -> 13[label="",style="solid", color="black", weight=3]; 16.04/6.02 12[label="foldr (++) [] (List.intersectBy0 (==) xx4 xx30 : map (List.intersectBy0 (==) xx4) xx31)",fontsize=16,color="black",shape="box"];12 -> 14[label="",style="solid", color="black", weight=3]; 16.04/6.02 13[label="foldr (++) [] []",fontsize=16,color="black",shape="box"];13 -> 15[label="",style="solid", color="black", weight=3]; 16.04/6.02 14 -> 16[label="",style="dashed", color="red", weight=0]; 16.04/6.02 14[label="(++) List.intersectBy0 (==) xx4 xx30 foldr (++) [] (map (List.intersectBy0 (==) xx4) xx31)",fontsize=16,color="magenta"];14 -> 17[label="",style="dashed", color="magenta", weight=3]; 16.04/6.02 15[label="[]",fontsize=16,color="green",shape="box"];17 -> 9[label="",style="dashed", color="red", weight=0]; 16.04/6.02 17[label="foldr (++) [] (map (List.intersectBy0 (==) xx4) xx31)",fontsize=16,color="magenta"];17 -> 18[label="",style="dashed", color="magenta", weight=3]; 16.04/6.02 16[label="(++) List.intersectBy0 (==) xx4 xx30 xx5",fontsize=16,color="black",shape="triangle"];16 -> 19[label="",style="solid", color="black", weight=3]; 16.04/6.02 18[label="xx31",fontsize=16,color="green",shape="box"];19[label="(++) List.intersectBy00 (==) xx4 xx30 xx5",fontsize=16,color="black",shape="box"];19 -> 20[label="",style="solid", color="black", weight=3]; 16.04/6.02 20[label="(++) List.intersectBy000 xx30 (any ((==) xx30) xx4) xx5",fontsize=16,color="black",shape="box"];20 -> 21[label="",style="solid", color="black", weight=3]; 16.04/6.02 21[label="(++) List.intersectBy000 xx30 (or . map ((==) xx30)) xx5",fontsize=16,color="black",shape="box"];21 -> 22[label="",style="solid", color="black", weight=3]; 16.04/6.02 22[label="(++) List.intersectBy000 xx30 (or (map ((==) xx30) xx4)) xx5",fontsize=16,color="black",shape="box"];22 -> 23[label="",style="solid", color="black", weight=3]; 16.04/6.02 23[label="(++) List.intersectBy000 xx30 (foldr (||) False (map ((==) xx30) xx4)) xx5",fontsize=16,color="burlywood",shape="triangle"];1014[label="xx4/xx40 : xx41",fontsize=10,color="white",style="solid",shape="box"];23 -> 1014[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1014 -> 24[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1015[label="xx4/[]",fontsize=10,color="white",style="solid",shape="box"];23 -> 1015[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1015 -> 25[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 24[label="(++) List.intersectBy000 xx30 (foldr (||) False (map ((==) xx30) (xx40 : xx41))) xx5",fontsize=16,color="black",shape="box"];24 -> 26[label="",style="solid", color="black", weight=3]; 16.04/6.02 25[label="(++) List.intersectBy000 xx30 (foldr (||) False (map ((==) xx30) [])) xx5",fontsize=16,color="black",shape="box"];25 -> 27[label="",style="solid", color="black", weight=3]; 16.04/6.02 26[label="(++) List.intersectBy000 xx30 (foldr (||) False (((==) xx30 xx40) : map ((==) xx30) xx41)) xx5",fontsize=16,color="black",shape="box"];26 -> 28[label="",style="solid", color="black", weight=3]; 16.04/6.02 27[label="(++) List.intersectBy000 xx30 (foldr (||) False []) xx5",fontsize=16,color="black",shape="box"];27 -> 29[label="",style="solid", color="black", weight=3]; 16.04/6.02 28[label="(++) List.intersectBy000 xx30 ((||) (==) xx30 xx40 foldr (||) False (map ((==) xx30) xx41)) xx5",fontsize=16,color="burlywood",shape="box"];1016[label="xx30/xx300 : xx301",fontsize=10,color="white",style="solid",shape="box"];28 -> 1016[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1016 -> 30[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1017[label="xx30/[]",fontsize=10,color="white",style="solid",shape="box"];28 -> 1017[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1017 -> 31[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 29[label="(++) List.intersectBy000 xx30 False xx5",fontsize=16,color="black",shape="box"];29 -> 32[label="",style="solid", color="black", weight=3]; 16.04/6.02 30[label="(++) List.intersectBy000 (xx300 : xx301) ((||) (==) xx300 : xx301 xx40 foldr (||) False (map ((==) xx300 : xx301) xx41)) xx5",fontsize=16,color="burlywood",shape="box"];1018[label="xx40/xx400 : xx401",fontsize=10,color="white",style="solid",shape="box"];30 -> 1018[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1018 -> 33[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1019[label="xx40/[]",fontsize=10,color="white",style="solid",shape="box"];30 -> 1019[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1019 -> 34[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 31[label="(++) List.intersectBy000 [] ((||) (==) [] xx40 foldr (||) False (map ((==) []) xx41)) xx5",fontsize=16,color="burlywood",shape="box"];1020[label="xx40/xx400 : xx401",fontsize=10,color="white",style="solid",shape="box"];31 -> 1020[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1020 -> 35[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1021[label="xx40/[]",fontsize=10,color="white",style="solid",shape="box"];31 -> 1021[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1021 -> 36[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 32[label="(++) [] xx5",fontsize=16,color="black",shape="triangle"];32 -> 37[label="",style="solid", color="black", weight=3]; 16.04/6.02 33[label="(++) List.intersectBy000 (xx300 : xx301) ((||) (==) xx300 : xx301 xx400 : xx401 foldr (||) False (map ((==) xx300 : xx301) xx41)) xx5",fontsize=16,color="black",shape="box"];33 -> 38[label="",style="solid", color="black", weight=3]; 16.04/6.02 34[label="(++) List.intersectBy000 (xx300 : xx301) ((||) (==) xx300 : xx301 [] foldr (||) False (map ((==) xx300 : xx301) xx41)) xx5",fontsize=16,color="black",shape="box"];34 -> 39[label="",style="solid", color="black", weight=3]; 16.04/6.02 35[label="(++) List.intersectBy000 [] ((||) (==) [] xx400 : xx401 foldr (||) False (map ((==) []) xx41)) xx5",fontsize=16,color="black",shape="box"];35 -> 40[label="",style="solid", color="black", weight=3]; 16.04/6.02 36[label="(++) List.intersectBy000 [] ((||) (==) [] [] foldr (||) False (map ((==) []) xx41)) xx5",fontsize=16,color="black",shape="box"];36 -> 41[label="",style="solid", color="black", weight=3]; 16.04/6.02 37[label="xx5",fontsize=16,color="green",shape="box"];38 -> 135[label="",style="dashed", color="red", weight=0]; 16.04/6.02 38[label="(++) List.intersectBy000 (xx300 : xx301) ((||) xx300 == xx400 && xx301 == xx401 foldr (||) False (map ((==) xx300 : xx301) xx41)) xx5",fontsize=16,color="magenta"];38 -> 136[label="",style="dashed", color="magenta", weight=3]; 16.04/6.02 38 -> 137[label="",style="dashed", color="magenta", weight=3]; 16.04/6.02 38 -> 138[label="",style="dashed", color="magenta", weight=3]; 16.04/6.02 38 -> 139[label="",style="dashed", color="magenta", weight=3]; 16.04/6.02 38 -> 140[label="",style="dashed", color="magenta", weight=3]; 16.04/6.02 39 -> 135[label="",style="dashed", color="red", weight=0]; 16.04/6.02 39[label="(++) List.intersectBy000 (xx300 : xx301) ((||) False foldr (||) False (map ((==) xx300 : xx301) xx41)) xx5",fontsize=16,color="magenta"];39 -> 141[label="",style="dashed", color="magenta", weight=3]; 16.04/6.02 39 -> 142[label="",style="dashed", color="magenta", weight=3]; 16.04/6.02 39 -> 143[label="",style="dashed", color="magenta", weight=3]; 16.04/6.02 39 -> 144[label="",style="dashed", color="magenta", weight=3]; 16.04/6.02 39 -> 145[label="",style="dashed", color="magenta", weight=3]; 16.04/6.02 40[label="(++) List.intersectBy000 [] ((||) False foldr (||) False (map ((==) []) xx41)) xx5",fontsize=16,color="black",shape="box"];40 -> 50[label="",style="solid", color="black", weight=3]; 16.04/6.02 41[label="(++) List.intersectBy000 [] ((||) True foldr (||) False (map ((==) []) xx41)) xx5",fontsize=16,color="black",shape="box"];41 -> 51[label="",style="solid", color="black", weight=3]; 16.04/6.02 136[label="xx301",fontsize=16,color="green",shape="box"];137[label="xx41",fontsize=16,color="green",shape="box"];138 -> 376[label="",style="dashed", color="red", weight=0]; 16.04/6.02 138[label="xx300 == xx400 && xx301 == xx401",fontsize=16,color="magenta"];138 -> 377[label="",style="dashed", color="magenta", weight=3]; 16.04/6.02 138 -> 378[label="",style="dashed", color="magenta", weight=3]; 16.04/6.02 139[label="xx5",fontsize=16,color="green",shape="box"];140[label="xx300",fontsize=16,color="green",shape="box"];135[label="(++) List.intersectBy000 (xx13 : xx14) ((||) xx19 foldr (||) False (map ((==) xx13 : xx14) xx17)) xx18",fontsize=16,color="burlywood",shape="triangle"];1022[label="xx19/False",fontsize=10,color="white",style="solid",shape="box"];135 -> 1022[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1022 -> 153[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1023[label="xx19/True",fontsize=10,color="white",style="solid",shape="box"];135 -> 1023[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1023 -> 154[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 141[label="xx301",fontsize=16,color="green",shape="box"];142[label="xx41",fontsize=16,color="green",shape="box"];143[label="False",fontsize=16,color="green",shape="box"];144[label="xx5",fontsize=16,color="green",shape="box"];145[label="xx300",fontsize=16,color="green",shape="box"];50 -> 23[label="",style="dashed", color="red", weight=0]; 16.04/6.02 50[label="(++) List.intersectBy000 [] (foldr (||) False (map ((==) []) xx41)) xx5",fontsize=16,color="magenta"];50 -> 70[label="",style="dashed", color="magenta", weight=3]; 16.04/6.02 50 -> 71[label="",style="dashed", color="magenta", weight=3]; 16.04/6.02 51[label="(++) List.intersectBy000 [] True xx5",fontsize=16,color="black",shape="box"];51 -> 72[label="",style="solid", color="black", weight=3]; 16.04/6.02 377[label="xx300 == xx400",fontsize=16,color="blue",shape="box"];1024[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];377 -> 1024[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1024 -> 381[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1025[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];377 -> 1025[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1025 -> 382[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1026[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];377 -> 1026[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1026 -> 383[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1027[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];377 -> 1027[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1027 -> 384[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1028[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];377 -> 1028[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1028 -> 385[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1029[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];377 -> 1029[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1029 -> 386[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1030[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];377 -> 1030[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1030 -> 387[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1031[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];377 -> 1031[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1031 -> 388[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1032[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];377 -> 1032[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1032 -> 389[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1033[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];377 -> 1033[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1033 -> 390[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1034[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];377 -> 1034[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1034 -> 391[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1035[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];377 -> 1035[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1035 -> 392[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1036[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];377 -> 1036[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1036 -> 393[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1037[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];377 -> 1037[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1037 -> 394[label="",style="solid", color="blue", weight=3]; 16.04/6.02 378[label="xx301 == xx401",fontsize=16,color="burlywood",shape="triangle"];1038[label="xx301/xx3010 : xx3011",fontsize=10,color="white",style="solid",shape="box"];378 -> 1038[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1038 -> 395[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1039[label="xx301/[]",fontsize=10,color="white",style="solid",shape="box"];378 -> 1039[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1039 -> 396[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 376[label="xx31 && xx32",fontsize=16,color="burlywood",shape="triangle"];1040[label="xx31/False",fontsize=10,color="white",style="solid",shape="box"];376 -> 1040[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1040 -> 397[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1041[label="xx31/True",fontsize=10,color="white",style="solid",shape="box"];376 -> 1041[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1041 -> 398[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 153[label="(++) List.intersectBy000 (xx13 : xx14) ((||) False foldr (||) False (map ((==) xx13 : xx14) xx17)) xx18",fontsize=16,color="black",shape="box"];153 -> 172[label="",style="solid", color="black", weight=3]; 16.04/6.02 154[label="(++) List.intersectBy000 (xx13 : xx14) ((||) True foldr (||) False (map ((==) xx13 : xx14) xx17)) xx18",fontsize=16,color="black",shape="box"];154 -> 173[label="",style="solid", color="black", weight=3]; 16.04/6.02 70[label="xx41",fontsize=16,color="green",shape="box"];71[label="[]",fontsize=16,color="green",shape="box"];72[label="(++) ([] : []) xx5",fontsize=16,color="black",shape="box"];72 -> 95[label="",style="solid", color="black", weight=3]; 16.04/6.02 381[label="xx300 == xx400",fontsize=16,color="burlywood",shape="triangle"];1042[label="xx300/()",fontsize=10,color="white",style="solid",shape="box"];381 -> 1042[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1042 -> 400[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 382[label="xx300 == xx400",fontsize=16,color="black",shape="triangle"];382 -> 401[label="",style="solid", color="black", weight=3]; 16.04/6.02 383[label="xx300 == xx400",fontsize=16,color="burlywood",shape="triangle"];1043[label="xx300/xx3000 :% xx3001",fontsize=10,color="white",style="solid",shape="box"];383 -> 1043[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1043 -> 402[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 384[label="xx300 == xx400",fontsize=16,color="black",shape="triangle"];384 -> 403[label="",style="solid", color="black", weight=3]; 16.04/6.02 385[label="xx300 == xx400",fontsize=16,color="black",shape="triangle"];385 -> 404[label="",style="solid", color="black", weight=3]; 16.04/6.02 386[label="xx300 == xx400",fontsize=16,color="burlywood",shape="triangle"];1044[label="xx300/Integer xx3000",fontsize=10,color="white",style="solid",shape="box"];386 -> 1044[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1044 -> 405[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 387[label="xx300 == xx400",fontsize=16,color="black",shape="triangle"];387 -> 406[label="",style="solid", color="black", weight=3]; 16.04/6.02 388[label="xx300 == xx400",fontsize=16,color="burlywood",shape="triangle"];1045[label="xx300/LT",fontsize=10,color="white",style="solid",shape="box"];388 -> 1045[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1045 -> 407[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1046[label="xx300/EQ",fontsize=10,color="white",style="solid",shape="box"];388 -> 1046[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1046 -> 408[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1047[label="xx300/GT",fontsize=10,color="white",style="solid",shape="box"];388 -> 1047[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1047 -> 409[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 389[label="xx300 == xx400",fontsize=16,color="burlywood",shape="triangle"];1048[label="xx300/Left xx3000",fontsize=10,color="white",style="solid",shape="box"];389 -> 1048[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1048 -> 410[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1049[label="xx300/Right xx3000",fontsize=10,color="white",style="solid",shape="box"];389 -> 1049[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1049 -> 411[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 390[label="xx300 == xx400",fontsize=16,color="burlywood",shape="triangle"];1050[label="xx300/(xx3000,xx3001,xx3002)",fontsize=10,color="white",style="solid",shape="box"];390 -> 1050[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1050 -> 412[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 391[label="xx300 == xx400",fontsize=16,color="burlywood",shape="triangle"];1051[label="xx300/False",fontsize=10,color="white",style="solid",shape="box"];391 -> 1051[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1051 -> 413[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1052[label="xx300/True",fontsize=10,color="white",style="solid",shape="box"];391 -> 1052[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1052 -> 414[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 392[label="xx300 == xx400",fontsize=16,color="burlywood",shape="triangle"];1053[label="xx300/(xx3000,xx3001)",fontsize=10,color="white",style="solid",shape="box"];392 -> 1053[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1053 -> 415[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 393[label="xx300 == xx400",fontsize=16,color="burlywood",shape="triangle"];1054[label="xx300/Nothing",fontsize=10,color="white",style="solid",shape="box"];393 -> 1054[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1054 -> 416[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1055[label="xx300/Just xx3000",fontsize=10,color="white",style="solid",shape="box"];393 -> 1055[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1055 -> 417[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 394 -> 378[label="",style="dashed", color="red", weight=0]; 16.04/6.02 394[label="xx300 == xx400",fontsize=16,color="magenta"];394 -> 418[label="",style="dashed", color="magenta", weight=3]; 16.04/6.02 394 -> 419[label="",style="dashed", color="magenta", weight=3]; 16.04/6.02 395[label="xx3010 : xx3011 == xx401",fontsize=16,color="burlywood",shape="box"];1056[label="xx401/xx4010 : xx4011",fontsize=10,color="white",style="solid",shape="box"];395 -> 1056[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1056 -> 420[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1057[label="xx401/[]",fontsize=10,color="white",style="solid",shape="box"];395 -> 1057[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1057 -> 421[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 396[label="[] == xx401",fontsize=16,color="burlywood",shape="box"];1058[label="xx401/xx4010 : xx4011",fontsize=10,color="white",style="solid",shape="box"];396 -> 1058[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1058 -> 422[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1059[label="xx401/[]",fontsize=10,color="white",style="solid",shape="box"];396 -> 1059[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1059 -> 423[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 397[label="False && xx32",fontsize=16,color="black",shape="box"];397 -> 424[label="",style="solid", color="black", weight=3]; 16.04/6.02 398[label="True && xx32",fontsize=16,color="black",shape="box"];398 -> 425[label="",style="solid", color="black", weight=3]; 16.04/6.02 172 -> 23[label="",style="dashed", color="red", weight=0]; 16.04/6.02 172[label="(++) List.intersectBy000 (xx13 : xx14) (foldr (||) False (map ((==) xx13 : xx14) xx17)) xx18",fontsize=16,color="magenta"];172 -> 196[label="",style="dashed", color="magenta", weight=3]; 16.04/6.02 172 -> 197[label="",style="dashed", color="magenta", weight=3]; 16.04/6.02 172 -> 198[label="",style="dashed", color="magenta", weight=3]; 16.04/6.02 173[label="(++) List.intersectBy000 (xx13 : xx14) True xx18",fontsize=16,color="black",shape="box"];173 -> 199[label="",style="solid", color="black", weight=3]; 16.04/6.02 95[label="[] : [] ++ xx5",fontsize=16,color="green",shape="box"];95 -> 171[label="",style="dashed", color="green", weight=3]; 16.04/6.02 400[label="() == xx400",fontsize=16,color="burlywood",shape="box"];1060[label="xx400/()",fontsize=10,color="white",style="solid",shape="box"];400 -> 1060[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1060 -> 426[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 401[label="primEqInt xx300 xx400",fontsize=16,color="burlywood",shape="triangle"];1061[label="xx300/Pos xx3000",fontsize=10,color="white",style="solid",shape="box"];401 -> 1061[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1061 -> 427[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1062[label="xx300/Neg xx3000",fontsize=10,color="white",style="solid",shape="box"];401 -> 1062[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1062 -> 428[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 402[label="xx3000 :% xx3001 == xx400",fontsize=16,color="burlywood",shape="box"];1063[label="xx400/xx4000 :% xx4001",fontsize=10,color="white",style="solid",shape="box"];402 -> 1063[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1063 -> 429[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 403[label="primEqFloat xx300 xx400",fontsize=16,color="burlywood",shape="box"];1064[label="xx300/Float xx3000 xx3001",fontsize=10,color="white",style="solid",shape="box"];403 -> 1064[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1064 -> 430[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 404[label="primEqDouble xx300 xx400",fontsize=16,color="burlywood",shape="box"];1065[label="xx300/Double xx3000 xx3001",fontsize=10,color="white",style="solid",shape="box"];404 -> 1065[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1065 -> 431[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 405[label="Integer xx3000 == xx400",fontsize=16,color="burlywood",shape="box"];1066[label="xx400/Integer xx4000",fontsize=10,color="white",style="solid",shape="box"];405 -> 1066[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1066 -> 432[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 406[label="primEqChar xx300 xx400",fontsize=16,color="burlywood",shape="box"];1067[label="xx300/Char xx3000",fontsize=10,color="white",style="solid",shape="box"];406 -> 1067[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1067 -> 433[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 407[label="LT == xx400",fontsize=16,color="burlywood",shape="box"];1068[label="xx400/LT",fontsize=10,color="white",style="solid",shape="box"];407 -> 1068[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1068 -> 434[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1069[label="xx400/EQ",fontsize=10,color="white",style="solid",shape="box"];407 -> 1069[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1069 -> 435[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1070[label="xx400/GT",fontsize=10,color="white",style="solid",shape="box"];407 -> 1070[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1070 -> 436[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 408[label="EQ == xx400",fontsize=16,color="burlywood",shape="box"];1071[label="xx400/LT",fontsize=10,color="white",style="solid",shape="box"];408 -> 1071[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1071 -> 437[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1072[label="xx400/EQ",fontsize=10,color="white",style="solid",shape="box"];408 -> 1072[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1072 -> 438[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1073[label="xx400/GT",fontsize=10,color="white",style="solid",shape="box"];408 -> 1073[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1073 -> 439[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 409[label="GT == xx400",fontsize=16,color="burlywood",shape="box"];1074[label="xx400/LT",fontsize=10,color="white",style="solid",shape="box"];409 -> 1074[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1074 -> 440[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1075[label="xx400/EQ",fontsize=10,color="white",style="solid",shape="box"];409 -> 1075[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1075 -> 441[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1076[label="xx400/GT",fontsize=10,color="white",style="solid",shape="box"];409 -> 1076[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1076 -> 442[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 410[label="Left xx3000 == xx400",fontsize=16,color="burlywood",shape="box"];1077[label="xx400/Left xx4000",fontsize=10,color="white",style="solid",shape="box"];410 -> 1077[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1077 -> 443[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1078[label="xx400/Right xx4000",fontsize=10,color="white",style="solid",shape="box"];410 -> 1078[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1078 -> 444[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 411[label="Right xx3000 == xx400",fontsize=16,color="burlywood",shape="box"];1079[label="xx400/Left xx4000",fontsize=10,color="white",style="solid",shape="box"];411 -> 1079[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1079 -> 445[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1080[label="xx400/Right xx4000",fontsize=10,color="white",style="solid",shape="box"];411 -> 1080[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1080 -> 446[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 412[label="(xx3000,xx3001,xx3002) == xx400",fontsize=16,color="burlywood",shape="box"];1081[label="xx400/(xx4000,xx4001,xx4002)",fontsize=10,color="white",style="solid",shape="box"];412 -> 1081[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1081 -> 447[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 413[label="False == xx400",fontsize=16,color="burlywood",shape="box"];1082[label="xx400/False",fontsize=10,color="white",style="solid",shape="box"];413 -> 1082[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1082 -> 448[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1083[label="xx400/True",fontsize=10,color="white",style="solid",shape="box"];413 -> 1083[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1083 -> 449[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 414[label="True == xx400",fontsize=16,color="burlywood",shape="box"];1084[label="xx400/False",fontsize=10,color="white",style="solid",shape="box"];414 -> 1084[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1084 -> 450[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1085[label="xx400/True",fontsize=10,color="white",style="solid",shape="box"];414 -> 1085[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1085 -> 451[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 415[label="(xx3000,xx3001) == xx400",fontsize=16,color="burlywood",shape="box"];1086[label="xx400/(xx4000,xx4001)",fontsize=10,color="white",style="solid",shape="box"];415 -> 1086[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1086 -> 452[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 416[label="Nothing == xx400",fontsize=16,color="burlywood",shape="box"];1087[label="xx400/Nothing",fontsize=10,color="white",style="solid",shape="box"];416 -> 1087[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1087 -> 453[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1088[label="xx400/Just xx4000",fontsize=10,color="white",style="solid",shape="box"];416 -> 1088[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1088 -> 454[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 417[label="Just xx3000 == xx400",fontsize=16,color="burlywood",shape="box"];1089[label="xx400/Nothing",fontsize=10,color="white",style="solid",shape="box"];417 -> 1089[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1089 -> 455[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1090[label="xx400/Just xx4000",fontsize=10,color="white",style="solid",shape="box"];417 -> 1090[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1090 -> 456[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 418[label="xx400",fontsize=16,color="green",shape="box"];419[label="xx300",fontsize=16,color="green",shape="box"];420[label="xx3010 : xx3011 == xx4010 : xx4011",fontsize=16,color="black",shape="box"];420 -> 457[label="",style="solid", color="black", weight=3]; 16.04/6.02 421[label="xx3010 : xx3011 == []",fontsize=16,color="black",shape="box"];421 -> 458[label="",style="solid", color="black", weight=3]; 16.04/6.02 422[label="[] == xx4010 : xx4011",fontsize=16,color="black",shape="box"];422 -> 459[label="",style="solid", color="black", weight=3]; 16.04/6.02 423[label="[] == []",fontsize=16,color="black",shape="box"];423 -> 460[label="",style="solid", color="black", weight=3]; 16.04/6.02 424[label="False",fontsize=16,color="green",shape="box"];425[label="xx32",fontsize=16,color="green",shape="box"];196[label="xx17",fontsize=16,color="green",shape="box"];197[label="xx13 : xx14",fontsize=16,color="green",shape="box"];198[label="xx18",fontsize=16,color="green",shape="box"];199[label="(++) ((xx13 : xx14) : []) xx18",fontsize=16,color="black",shape="box"];199 -> 249[label="",style="solid", color="black", weight=3]; 16.04/6.02 171 -> 32[label="",style="dashed", color="red", weight=0]; 16.04/6.02 171[label="[] ++ xx5",fontsize=16,color="magenta"];426[label="() == ()",fontsize=16,color="black",shape="box"];426 -> 461[label="",style="solid", color="black", weight=3]; 16.04/6.02 427[label="primEqInt (Pos xx3000) xx400",fontsize=16,color="burlywood",shape="box"];1091[label="xx3000/Succ xx30000",fontsize=10,color="white",style="solid",shape="box"];427 -> 1091[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1091 -> 462[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1092[label="xx3000/Zero",fontsize=10,color="white",style="solid",shape="box"];427 -> 1092[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1092 -> 463[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 428[label="primEqInt (Neg xx3000) xx400",fontsize=16,color="burlywood",shape="box"];1093[label="xx3000/Succ xx30000",fontsize=10,color="white",style="solid",shape="box"];428 -> 1093[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1093 -> 464[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1094[label="xx3000/Zero",fontsize=10,color="white",style="solid",shape="box"];428 -> 1094[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1094 -> 465[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 429[label="xx3000 :% xx3001 == xx4000 :% xx4001",fontsize=16,color="black",shape="box"];429 -> 466[label="",style="solid", color="black", weight=3]; 16.04/6.02 430[label="primEqFloat (Float xx3000 xx3001) xx400",fontsize=16,color="burlywood",shape="box"];1095[label="xx400/Float xx4000 xx4001",fontsize=10,color="white",style="solid",shape="box"];430 -> 1095[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1095 -> 467[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 431[label="primEqDouble (Double xx3000 xx3001) xx400",fontsize=16,color="burlywood",shape="box"];1096[label="xx400/Double xx4000 xx4001",fontsize=10,color="white",style="solid",shape="box"];431 -> 1096[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1096 -> 468[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 432[label="Integer xx3000 == Integer xx4000",fontsize=16,color="black",shape="box"];432 -> 469[label="",style="solid", color="black", weight=3]; 16.04/6.02 433[label="primEqChar (Char xx3000) xx400",fontsize=16,color="burlywood",shape="box"];1097[label="xx400/Char xx4000",fontsize=10,color="white",style="solid",shape="box"];433 -> 1097[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1097 -> 470[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 434[label="LT == LT",fontsize=16,color="black",shape="box"];434 -> 471[label="",style="solid", color="black", weight=3]; 16.04/6.02 435[label="LT == EQ",fontsize=16,color="black",shape="box"];435 -> 472[label="",style="solid", color="black", weight=3]; 16.04/6.02 436[label="LT == GT",fontsize=16,color="black",shape="box"];436 -> 473[label="",style="solid", color="black", weight=3]; 16.04/6.02 437[label="EQ == LT",fontsize=16,color="black",shape="box"];437 -> 474[label="",style="solid", color="black", weight=3]; 16.04/6.02 438[label="EQ == EQ",fontsize=16,color="black",shape="box"];438 -> 475[label="",style="solid", color="black", weight=3]; 16.04/6.02 439[label="EQ == GT",fontsize=16,color="black",shape="box"];439 -> 476[label="",style="solid", color="black", weight=3]; 16.04/6.02 440[label="GT == LT",fontsize=16,color="black",shape="box"];440 -> 477[label="",style="solid", color="black", weight=3]; 16.04/6.02 441[label="GT == EQ",fontsize=16,color="black",shape="box"];441 -> 478[label="",style="solid", color="black", weight=3]; 16.04/6.02 442[label="GT == GT",fontsize=16,color="black",shape="box"];442 -> 479[label="",style="solid", color="black", weight=3]; 16.04/6.02 443[label="Left xx3000 == Left xx4000",fontsize=16,color="black",shape="box"];443 -> 480[label="",style="solid", color="black", weight=3]; 16.04/6.02 444[label="Left xx3000 == Right xx4000",fontsize=16,color="black",shape="box"];444 -> 481[label="",style="solid", color="black", weight=3]; 16.04/6.02 445[label="Right xx3000 == Left xx4000",fontsize=16,color="black",shape="box"];445 -> 482[label="",style="solid", color="black", weight=3]; 16.04/6.02 446[label="Right xx3000 == Right xx4000",fontsize=16,color="black",shape="box"];446 -> 483[label="",style="solid", color="black", weight=3]; 16.04/6.02 447[label="(xx3000,xx3001,xx3002) == (xx4000,xx4001,xx4002)",fontsize=16,color="black",shape="box"];447 -> 484[label="",style="solid", color="black", weight=3]; 16.04/6.02 448[label="False == False",fontsize=16,color="black",shape="box"];448 -> 485[label="",style="solid", color="black", weight=3]; 16.04/6.02 449[label="False == True",fontsize=16,color="black",shape="box"];449 -> 486[label="",style="solid", color="black", weight=3]; 16.04/6.02 450[label="True == False",fontsize=16,color="black",shape="box"];450 -> 487[label="",style="solid", color="black", weight=3]; 16.04/6.02 451[label="True == True",fontsize=16,color="black",shape="box"];451 -> 488[label="",style="solid", color="black", weight=3]; 16.04/6.02 452[label="(xx3000,xx3001) == (xx4000,xx4001)",fontsize=16,color="black",shape="box"];452 -> 489[label="",style="solid", color="black", weight=3]; 16.04/6.02 453[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];453 -> 490[label="",style="solid", color="black", weight=3]; 16.04/6.02 454[label="Nothing == Just xx4000",fontsize=16,color="black",shape="box"];454 -> 491[label="",style="solid", color="black", weight=3]; 16.04/6.02 455[label="Just xx3000 == Nothing",fontsize=16,color="black",shape="box"];455 -> 492[label="",style="solid", color="black", weight=3]; 16.04/6.02 456[label="Just xx3000 == Just xx4000",fontsize=16,color="black",shape="box"];456 -> 493[label="",style="solid", color="black", weight=3]; 16.04/6.02 457 -> 376[label="",style="dashed", color="red", weight=0]; 16.04/6.02 457[label="xx3010 == xx4010 && xx3011 == xx4011",fontsize=16,color="magenta"];457 -> 494[label="",style="dashed", color="magenta", weight=3]; 16.04/6.02 457 -> 495[label="",style="dashed", color="magenta", weight=3]; 16.04/6.02 458[label="False",fontsize=16,color="green",shape="box"];459[label="False",fontsize=16,color="green",shape="box"];460[label="True",fontsize=16,color="green",shape="box"];249[label="(xx13 : xx14) : [] ++ xx18",fontsize=16,color="green",shape="box"];249 -> 315[label="",style="dashed", color="green", weight=3]; 16.04/6.02 461[label="True",fontsize=16,color="green",shape="box"];462[label="primEqInt (Pos (Succ xx30000)) xx400",fontsize=16,color="burlywood",shape="box"];1098[label="xx400/Pos xx4000",fontsize=10,color="white",style="solid",shape="box"];462 -> 1098[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1098 -> 496[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1099[label="xx400/Neg xx4000",fontsize=10,color="white",style="solid",shape="box"];462 -> 1099[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1099 -> 497[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 463[label="primEqInt (Pos Zero) xx400",fontsize=16,color="burlywood",shape="box"];1100[label="xx400/Pos xx4000",fontsize=10,color="white",style="solid",shape="box"];463 -> 1100[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1100 -> 498[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1101[label="xx400/Neg xx4000",fontsize=10,color="white",style="solid",shape="box"];463 -> 1101[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1101 -> 499[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 464[label="primEqInt (Neg (Succ xx30000)) xx400",fontsize=16,color="burlywood",shape="box"];1102[label="xx400/Pos xx4000",fontsize=10,color="white",style="solid",shape="box"];464 -> 1102[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1102 -> 500[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1103[label="xx400/Neg xx4000",fontsize=10,color="white",style="solid",shape="box"];464 -> 1103[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1103 -> 501[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 465[label="primEqInt (Neg Zero) xx400",fontsize=16,color="burlywood",shape="box"];1104[label="xx400/Pos xx4000",fontsize=10,color="white",style="solid",shape="box"];465 -> 1104[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1104 -> 502[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1105[label="xx400/Neg xx4000",fontsize=10,color="white",style="solid",shape="box"];465 -> 1105[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1105 -> 503[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 466 -> 376[label="",style="dashed", color="red", weight=0]; 16.04/6.02 466[label="xx3000 == xx4000 && xx3001 == xx4001",fontsize=16,color="magenta"];466 -> 504[label="",style="dashed", color="magenta", weight=3]; 16.04/6.02 466 -> 505[label="",style="dashed", color="magenta", weight=3]; 16.04/6.02 467[label="primEqFloat (Float xx3000 xx3001) (Float xx4000 xx4001)",fontsize=16,color="black",shape="box"];467 -> 506[label="",style="solid", color="black", weight=3]; 16.04/6.02 468[label="primEqDouble (Double xx3000 xx3001) (Double xx4000 xx4001)",fontsize=16,color="black",shape="box"];468 -> 507[label="",style="solid", color="black", weight=3]; 16.04/6.02 469 -> 401[label="",style="dashed", color="red", weight=0]; 16.04/6.02 469[label="primEqInt xx3000 xx4000",fontsize=16,color="magenta"];469 -> 508[label="",style="dashed", color="magenta", weight=3]; 16.04/6.02 469 -> 509[label="",style="dashed", color="magenta", weight=3]; 16.04/6.02 470[label="primEqChar (Char xx3000) (Char xx4000)",fontsize=16,color="black",shape="box"];470 -> 510[label="",style="solid", color="black", weight=3]; 16.04/6.02 471[label="True",fontsize=16,color="green",shape="box"];472[label="False",fontsize=16,color="green",shape="box"];473[label="False",fontsize=16,color="green",shape="box"];474[label="False",fontsize=16,color="green",shape="box"];475[label="True",fontsize=16,color="green",shape="box"];476[label="False",fontsize=16,color="green",shape="box"];477[label="False",fontsize=16,color="green",shape="box"];478[label="False",fontsize=16,color="green",shape="box"];479[label="True",fontsize=16,color="green",shape="box"];480[label="xx3000 == xx4000",fontsize=16,color="blue",shape="box"];1106[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1106[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1106 -> 511[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1107[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1107[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1107 -> 512[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1108[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1108[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1108 -> 513[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1109[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1109[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1109 -> 514[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1110[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1110[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1110 -> 515[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1111[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1111[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1111 -> 516[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1112[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1112[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1112 -> 517[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1113[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1113[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1113 -> 518[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1114[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1114[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1114 -> 519[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1115[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1115[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1115 -> 520[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1116[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1116[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1116 -> 521[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1117[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1117[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1117 -> 522[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1118[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1118[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1118 -> 523[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1119[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1119[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1119 -> 524[label="",style="solid", color="blue", weight=3]; 16.04/6.02 481[label="False",fontsize=16,color="green",shape="box"];482[label="False",fontsize=16,color="green",shape="box"];483[label="xx3000 == xx4000",fontsize=16,color="blue",shape="box"];1120[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];483 -> 1120[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1120 -> 525[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1121[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];483 -> 1121[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1121 -> 526[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1122[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];483 -> 1122[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1122 -> 527[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1123[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];483 -> 1123[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1123 -> 528[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1124[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];483 -> 1124[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1124 -> 529[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1125[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];483 -> 1125[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1125 -> 530[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1126[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];483 -> 1126[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1126 -> 531[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1127[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];483 -> 1127[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1127 -> 532[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1128[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];483 -> 1128[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1128 -> 533[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1129[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];483 -> 1129[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1129 -> 534[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1130[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];483 -> 1130[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1130 -> 535[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1131[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];483 -> 1131[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1131 -> 536[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1132[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];483 -> 1132[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1132 -> 537[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1133[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];483 -> 1133[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1133 -> 538[label="",style="solid", color="blue", weight=3]; 16.04/6.02 484 -> 376[label="",style="dashed", color="red", weight=0]; 16.04/6.02 484[label="xx3000 == xx4000 && xx3001 == xx4001 && xx3002 == xx4002",fontsize=16,color="magenta"];484 -> 539[label="",style="dashed", color="magenta", weight=3]; 16.04/6.02 484 -> 540[label="",style="dashed", color="magenta", weight=3]; 16.04/6.02 485[label="True",fontsize=16,color="green",shape="box"];486[label="False",fontsize=16,color="green",shape="box"];487[label="False",fontsize=16,color="green",shape="box"];488[label="True",fontsize=16,color="green",shape="box"];489 -> 376[label="",style="dashed", color="red", weight=0]; 16.04/6.02 489[label="xx3000 == xx4000 && xx3001 == xx4001",fontsize=16,color="magenta"];489 -> 541[label="",style="dashed", color="magenta", weight=3]; 16.04/6.02 489 -> 542[label="",style="dashed", color="magenta", weight=3]; 16.04/6.02 490[label="True",fontsize=16,color="green",shape="box"];491[label="False",fontsize=16,color="green",shape="box"];492[label="False",fontsize=16,color="green",shape="box"];493[label="xx3000 == xx4000",fontsize=16,color="blue",shape="box"];1134[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];493 -> 1134[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1134 -> 543[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1135[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];493 -> 1135[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1135 -> 544[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1136[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];493 -> 1136[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1136 -> 545[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1137[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];493 -> 1137[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1137 -> 546[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1138[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];493 -> 1138[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1138 -> 547[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1139[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];493 -> 1139[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1139 -> 548[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1140[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];493 -> 1140[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1140 -> 549[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1141[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];493 -> 1141[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1141 -> 550[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1142[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];493 -> 1142[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1142 -> 551[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1143[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];493 -> 1143[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1143 -> 552[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1144[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];493 -> 1144[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1144 -> 553[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1145[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];493 -> 1145[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1145 -> 554[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1146[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];493 -> 1146[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1146 -> 555[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1147[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];493 -> 1147[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1147 -> 556[label="",style="solid", color="blue", weight=3]; 16.04/6.02 494[label="xx3010 == xx4010",fontsize=16,color="blue",shape="box"];1148[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1148[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1148 -> 557[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1149[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1149[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1149 -> 558[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1150[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1150[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1150 -> 559[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1151[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1151[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1151 -> 560[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1152[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1152[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1152 -> 561[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1153[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1153[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1153 -> 562[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1154[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1154[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1154 -> 563[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1155[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1155[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1155 -> 564[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1156[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1156[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1156 -> 565[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1157[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1157[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1157 -> 566[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1158[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1158[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1158 -> 567[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1159[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1159[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1159 -> 568[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1160[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1160[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1160 -> 569[label="",style="solid", color="blue", weight=3]; 16.04/6.02 1161[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1161[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1161 -> 570[label="",style="solid", color="blue", weight=3]; 16.04/6.02 495 -> 378[label="",style="dashed", color="red", weight=0]; 16.04/6.02 495[label="xx3011 == xx4011",fontsize=16,color="magenta"];495 -> 571[label="",style="dashed", color="magenta", weight=3]; 16.04/6.02 495 -> 572[label="",style="dashed", color="magenta", weight=3]; 16.04/6.02 315 -> 32[label="",style="dashed", color="red", weight=0]; 16.04/6.02 315[label="[] ++ xx18",fontsize=16,color="magenta"];315 -> 399[label="",style="dashed", color="magenta", weight=3]; 16.04/6.02 496[label="primEqInt (Pos (Succ xx30000)) (Pos xx4000)",fontsize=16,color="burlywood",shape="box"];1162[label="xx4000/Succ xx40000",fontsize=10,color="white",style="solid",shape="box"];496 -> 1162[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1162 -> 573[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1163[label="xx4000/Zero",fontsize=10,color="white",style="solid",shape="box"];496 -> 1163[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1163 -> 574[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 497[label="primEqInt (Pos (Succ xx30000)) (Neg xx4000)",fontsize=16,color="black",shape="box"];497 -> 575[label="",style="solid", color="black", weight=3]; 16.04/6.02 498[label="primEqInt (Pos Zero) (Pos xx4000)",fontsize=16,color="burlywood",shape="box"];1164[label="xx4000/Succ xx40000",fontsize=10,color="white",style="solid",shape="box"];498 -> 1164[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1164 -> 576[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1165[label="xx4000/Zero",fontsize=10,color="white",style="solid",shape="box"];498 -> 1165[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1165 -> 577[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 499[label="primEqInt (Pos Zero) (Neg xx4000)",fontsize=16,color="burlywood",shape="box"];1166[label="xx4000/Succ xx40000",fontsize=10,color="white",style="solid",shape="box"];499 -> 1166[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1166 -> 578[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1167[label="xx4000/Zero",fontsize=10,color="white",style="solid",shape="box"];499 -> 1167[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1167 -> 579[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 500[label="primEqInt (Neg (Succ xx30000)) (Pos xx4000)",fontsize=16,color="black",shape="box"];500 -> 580[label="",style="solid", color="black", weight=3]; 16.04/6.02 501[label="primEqInt (Neg (Succ xx30000)) (Neg xx4000)",fontsize=16,color="burlywood",shape="box"];1168[label="xx4000/Succ xx40000",fontsize=10,color="white",style="solid",shape="box"];501 -> 1168[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1168 -> 581[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1169[label="xx4000/Zero",fontsize=10,color="white",style="solid",shape="box"];501 -> 1169[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1169 -> 582[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 502[label="primEqInt (Neg Zero) (Pos xx4000)",fontsize=16,color="burlywood",shape="box"];1170[label="xx4000/Succ xx40000",fontsize=10,color="white",style="solid",shape="box"];502 -> 1170[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1170 -> 583[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1171[label="xx4000/Zero",fontsize=10,color="white",style="solid",shape="box"];502 -> 1171[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1171 -> 584[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 503[label="primEqInt (Neg Zero) (Neg xx4000)",fontsize=16,color="burlywood",shape="box"];1172[label="xx4000/Succ xx40000",fontsize=10,color="white",style="solid",shape="box"];503 -> 1172[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1172 -> 585[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 1173[label="xx4000/Zero",fontsize=10,color="white",style="solid",shape="box"];503 -> 1173[label="",style="solid", color="burlywood", weight=9]; 16.04/6.02 1173 -> 586[label="",style="solid", color="burlywood", weight=3]; 16.04/6.02 504[label="xx3000 == xx4000",fontsize=16,color="blue",shape="box"];1174[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];504 -> 1174[label="",style="solid", color="blue", weight=9]; 16.04/6.02 1174 -> 587[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1175[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];504 -> 1175[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1175 -> 588[label="",style="solid", color="blue", weight=3]; 16.09/6.03 505[label="xx3001 == xx4001",fontsize=16,color="blue",shape="box"];1176[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];505 -> 1176[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1176 -> 589[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1177[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];505 -> 1177[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1177 -> 590[label="",style="solid", color="blue", weight=3]; 16.09/6.03 506 -> 382[label="",style="dashed", color="red", weight=0]; 16.09/6.03 506[label="xx3000 * xx4001 == xx3001 * xx4000",fontsize=16,color="magenta"];506 -> 591[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 506 -> 592[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 507 -> 382[label="",style="dashed", color="red", weight=0]; 16.09/6.03 507[label="xx3000 * xx4001 == xx3001 * xx4000",fontsize=16,color="magenta"];507 -> 593[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 507 -> 594[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 508[label="xx4000",fontsize=16,color="green",shape="box"];509[label="xx3000",fontsize=16,color="green",shape="box"];510[label="primEqNat xx3000 xx4000",fontsize=16,color="burlywood",shape="triangle"];1178[label="xx3000/Succ xx30000",fontsize=10,color="white",style="solid",shape="box"];510 -> 1178[label="",style="solid", color="burlywood", weight=9]; 16.09/6.03 1178 -> 595[label="",style="solid", color="burlywood", weight=3]; 16.09/6.03 1179[label="xx3000/Zero",fontsize=10,color="white",style="solid",shape="box"];510 -> 1179[label="",style="solid", color="burlywood", weight=9]; 16.09/6.03 1179 -> 596[label="",style="solid", color="burlywood", weight=3]; 16.09/6.03 511 -> 381[label="",style="dashed", color="red", weight=0]; 16.09/6.03 511[label="xx3000 == xx4000",fontsize=16,color="magenta"];511 -> 597[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 511 -> 598[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 512 -> 382[label="",style="dashed", color="red", weight=0]; 16.09/6.03 512[label="xx3000 == xx4000",fontsize=16,color="magenta"];512 -> 599[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 512 -> 600[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 513 -> 383[label="",style="dashed", color="red", weight=0]; 16.09/6.03 513[label="xx3000 == xx4000",fontsize=16,color="magenta"];513 -> 601[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 513 -> 602[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 514 -> 384[label="",style="dashed", color="red", weight=0]; 16.09/6.03 514[label="xx3000 == xx4000",fontsize=16,color="magenta"];514 -> 603[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 514 -> 604[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 515 -> 385[label="",style="dashed", color="red", weight=0]; 16.09/6.03 515[label="xx3000 == xx4000",fontsize=16,color="magenta"];515 -> 605[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 515 -> 606[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 516 -> 386[label="",style="dashed", color="red", weight=0]; 16.09/6.03 516[label="xx3000 == xx4000",fontsize=16,color="magenta"];516 -> 607[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 516 -> 608[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 517 -> 387[label="",style="dashed", color="red", weight=0]; 16.09/6.03 517[label="xx3000 == xx4000",fontsize=16,color="magenta"];517 -> 609[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 517 -> 610[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 518 -> 388[label="",style="dashed", color="red", weight=0]; 16.09/6.03 518[label="xx3000 == xx4000",fontsize=16,color="magenta"];518 -> 611[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 518 -> 612[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 519 -> 389[label="",style="dashed", color="red", weight=0]; 16.09/6.03 519[label="xx3000 == xx4000",fontsize=16,color="magenta"];519 -> 613[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 519 -> 614[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 520 -> 390[label="",style="dashed", color="red", weight=0]; 16.09/6.03 520[label="xx3000 == xx4000",fontsize=16,color="magenta"];520 -> 615[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 520 -> 616[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 521 -> 391[label="",style="dashed", color="red", weight=0]; 16.09/6.03 521[label="xx3000 == xx4000",fontsize=16,color="magenta"];521 -> 617[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 521 -> 618[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 522 -> 392[label="",style="dashed", color="red", weight=0]; 16.09/6.03 522[label="xx3000 == xx4000",fontsize=16,color="magenta"];522 -> 619[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 522 -> 620[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 523 -> 393[label="",style="dashed", color="red", weight=0]; 16.09/6.03 523[label="xx3000 == xx4000",fontsize=16,color="magenta"];523 -> 621[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 523 -> 622[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 524 -> 378[label="",style="dashed", color="red", weight=0]; 16.09/6.03 524[label="xx3000 == xx4000",fontsize=16,color="magenta"];524 -> 623[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 524 -> 624[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 525 -> 381[label="",style="dashed", color="red", weight=0]; 16.09/6.03 525[label="xx3000 == xx4000",fontsize=16,color="magenta"];525 -> 625[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 525 -> 626[label="",style="dashed", 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16.09/6.03 1193[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];539 -> 1193[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1193 -> 666[label="",style="solid", color="blue", weight=3]; 16.09/6.03 540 -> 376[label="",style="dashed", color="red", weight=0]; 16.09/6.03 540[label="xx3001 == xx4001 && xx3002 == xx4002",fontsize=16,color="magenta"];540 -> 667[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 540 -> 668[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 541[label="xx3000 == xx4000",fontsize=16,color="blue",shape="box"];1194[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1194[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1194 -> 669[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1195[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1195[label="",style="solid", color="blue", 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674[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1200[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1200[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1200 -> 675[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1201[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1201[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1201 -> 676[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1202[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1202[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1202 -> 677[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1203[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1203[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1203 -> 678[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1204[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1204[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1204 -> 679[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1205[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1205[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1205 -> 680[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1206[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1206[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1206 -> 681[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1207[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1207[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1207 -> 682[label="",style="solid", color="blue", weight=3]; 16.09/6.03 542[label="xx3001 == xx4001",fontsize=16,color="blue",shape="box"];1208[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];542 -> 1208[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1208 -> 683[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1209[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];542 -> 1209[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1209 -> 684[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1210[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];542 -> 1210[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1210 -> 685[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1211[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];542 -> 1211[label="",style="solid", color="blue", 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690[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1216[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];542 -> 1216[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1216 -> 691[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1217[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];542 -> 1217[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1217 -> 692[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1218[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];542 -> 1218[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1218 -> 693[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1219[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];542 -> 1219[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1219 -> 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color="magenta", weight=3]; 16.09/6.03 559 -> 383[label="",style="dashed", color="red", weight=0]; 16.09/6.03 559[label="xx3010 == xx4010",fontsize=16,color="magenta"];559 -> 729[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 559 -> 730[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 560 -> 384[label="",style="dashed", color="red", weight=0]; 16.09/6.03 560[label="xx3010 == xx4010",fontsize=16,color="magenta"];560 -> 731[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 560 -> 732[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 561 -> 385[label="",style="dashed", color="red", weight=0]; 16.09/6.03 561[label="xx3010 == xx4010",fontsize=16,color="magenta"];561 -> 733[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 561 -> 734[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 562 -> 386[label="",style="dashed", color="red", weight=0]; 16.09/6.03 562[label="xx3010 == xx4010",fontsize=16,color="magenta"];562 -> 735[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 562 -> 736[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 563 -> 387[label="",style="dashed", color="red", weight=0]; 16.09/6.03 563[label="xx3010 == xx4010",fontsize=16,color="magenta"];563 -> 737[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 563 -> 738[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 564 -> 388[label="",style="dashed", color="red", weight=0]; 16.09/6.03 564[label="xx3010 == xx4010",fontsize=16,color="magenta"];564 -> 739[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 564 -> 740[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 565 -> 389[label="",style="dashed", color="red", weight=0]; 16.09/6.03 565[label="xx3010 == xx4010",fontsize=16,color="magenta"];565 -> 741[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 565 -> 742[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 566 -> 390[label="",style="dashed", color="red", weight=0]; 16.09/6.03 566[label="xx3010 == xx4010",fontsize=16,color="magenta"];566 -> 743[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 566 -> 744[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 567 -> 391[label="",style="dashed", color="red", weight=0]; 16.09/6.03 567[label="xx3010 == xx4010",fontsize=16,color="magenta"];567 -> 745[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 567 -> 746[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 568 -> 392[label="",style="dashed", color="red", weight=0]; 16.09/6.03 568[label="xx3010 == xx4010",fontsize=16,color="magenta"];568 -> 747[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 568 -> 748[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 569 -> 393[label="",style="dashed", color="red", weight=0]; 16.09/6.03 569[label="xx3010 == xx4010",fontsize=16,color="magenta"];569 -> 749[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 569 -> 750[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 570 -> 378[label="",style="dashed", color="red", weight=0]; 16.09/6.03 570[label="xx3010 == xx4010",fontsize=16,color="magenta"];570 -> 751[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 570 -> 752[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 571[label="xx4011",fontsize=16,color="green",shape="box"];572[label="xx3011",fontsize=16,color="green",shape="box"];399[label="xx18",fontsize=16,color="green",shape="box"];573[label="primEqInt (Pos (Succ xx30000)) (Pos (Succ xx40000))",fontsize=16,color="black",shape="box"];573 -> 753[label="",style="solid", color="black", weight=3]; 16.09/6.03 574[label="primEqInt (Pos (Succ xx30000)) (Pos Zero)",fontsize=16,color="black",shape="box"];574 -> 754[label="",style="solid", color="black", weight=3]; 16.09/6.03 575[label="False",fontsize=16,color="green",shape="box"];576[label="primEqInt (Pos Zero) (Pos (Succ xx40000))",fontsize=16,color="black",shape="box"];576 -> 755[label="",style="solid", color="black", weight=3]; 16.09/6.03 577[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];577 -> 756[label="",style="solid", color="black", weight=3]; 16.09/6.03 578[label="primEqInt (Pos Zero) (Neg (Succ xx40000))",fontsize=16,color="black",shape="box"];578 -> 757[label="",style="solid", color="black", weight=3]; 16.09/6.03 579[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];579 -> 758[label="",style="solid", color="black", weight=3]; 16.09/6.03 580[label="False",fontsize=16,color="green",shape="box"];581[label="primEqInt (Neg (Succ xx30000)) (Neg (Succ xx40000))",fontsize=16,color="black",shape="box"];581 -> 759[label="",style="solid", color="black", weight=3]; 16.09/6.03 582[label="primEqInt (Neg (Succ xx30000)) (Neg 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color="magenta", weight=3]; 16.09/6.03 588 -> 386[label="",style="dashed", color="red", weight=0]; 16.09/6.03 588[label="xx3000 == xx4000",fontsize=16,color="magenta"];588 -> 767[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 588 -> 768[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 589 -> 382[label="",style="dashed", color="red", weight=0]; 16.09/6.03 589[label="xx3001 == xx4001",fontsize=16,color="magenta"];589 -> 769[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 589 -> 770[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 590 -> 386[label="",style="dashed", color="red", weight=0]; 16.09/6.03 590[label="xx3001 == xx4001",fontsize=16,color="magenta"];590 -> 771[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 590 -> 772[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 591[label="xx3001 * xx4000",fontsize=16,color="black",shape="triangle"];591 -> 773[label="",style="solid", color="black", weight=3]; 16.09/6.03 592 -> 591[label="",style="dashed", color="red", weight=0]; 16.09/6.03 592[label="xx3000 * xx4001",fontsize=16,color="magenta"];592 -> 774[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 592 -> 775[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 593 -> 591[label="",style="dashed", color="red", weight=0]; 16.09/6.03 593[label="xx3001 * xx4000",fontsize=16,color="magenta"];593 -> 776[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 593 -> 777[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 594 -> 591[label="",style="dashed", color="red", weight=0]; 16.09/6.03 594[label="xx3000 * xx4001",fontsize=16,color="magenta"];594 -> 778[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 594 -> 779[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 595[label="primEqNat (Succ xx30000) xx4000",fontsize=16,color="burlywood",shape="box"];1222[label="xx4000/Succ xx40000",fontsize=10,color="white",style="solid",shape="box"];595 -> 1222[label="",style="solid", color="burlywood", weight=9]; 16.09/6.03 1222 -> 780[label="",style="solid", color="burlywood", weight=3]; 16.09/6.03 1223[label="xx4000/Zero",fontsize=10,color="white",style="solid",shape="box"];595 -> 1223[label="",style="solid", color="burlywood", weight=9]; 16.09/6.03 1223 -> 781[label="",style="solid", color="burlywood", weight=3]; 16.09/6.03 596[label="primEqNat Zero xx4000",fontsize=16,color="burlywood",shape="box"];1224[label="xx4000/Succ xx40000",fontsize=10,color="white",style="solid",shape="box"];596 -> 1224[label="",style="solid", color="burlywood", weight=9]; 16.09/6.03 1224 -> 782[label="",style="solid", color="burlywood", weight=3]; 16.09/6.03 1225[label="xx4000/Zero",fontsize=10,color="white",style="solid",shape="box"];596 -> 1225[label="",style="solid", color="burlywood", weight=9]; 16.09/6.03 1225 -> 783[label="",style="solid", color="burlywood", weight=3]; 16.09/6.03 597[label="xx4000",fontsize=16,color="green",shape="box"];598[label="xx3000",fontsize=16,color="green",shape="box"];599[label="xx4000",fontsize=16,color="green",shape="box"];600[label="xx3000",fontsize=16,color="green",shape="box"];601[label="xx4000",fontsize=16,color="green",shape="box"];602[label="xx3000",fontsize=16,color="green",shape="box"];603[label="xx4000",fontsize=16,color="green",shape="box"];604[label="xx3000",fontsize=16,color="green",shape="box"];605[label="xx4000",fontsize=16,color="green",shape="box"];606[label="xx3000",fontsize=16,color="green",shape="box"];607[label="xx4000",fontsize=16,color="green",shape="box"];608[label="xx3000",fontsize=16,color="green",shape="box"];609[label="xx4000",fontsize=16,color="green",shape="box"];610[label="xx3000",fontsize=16,color="green",shape="box"];611[label="xx4000",fontsize=16,color="green",shape="box"];612[label="xx3000",fontsize=16,color="green",shape="box"];613[label="xx4000",fontsize=16,color="green",shape="box"];614[label="xx3000",fontsize=16,color="green",shape="box"];615[label="xx4000",fontsize=16,color="green",shape="box"];616[label="xx3000",fontsize=16,color="green",shape="box"];617[label="xx4000",fontsize=16,color="green",shape="box"];618[label="xx3000",fontsize=16,color="green",shape="box"];619[label="xx4000",fontsize=16,color="green",shape="box"];620[label="xx3000",fontsize=16,color="green",shape="box"];621[label="xx4000",fontsize=16,color="green",shape="box"];622[label="xx3000",fontsize=16,color="green",shape="box"];623[label="xx4000",fontsize=16,color="green",shape="box"];624[label="xx3000",fontsize=16,color="green",shape="box"];625[label="xx4000",fontsize=16,color="green",shape="box"];626[label="xx3000",fontsize=16,color="green",shape="box"];627[label="xx4000",fontsize=16,color="green",shape="box"];628[label="xx3000",fontsize=16,color="green",shape="box"];629[label="xx4000",fontsize=16,color="green",shape="box"];630[label="xx3000",fontsize=16,color="green",shape="box"];631[label="xx4000",fontsize=16,color="green",shape="box"];632[label="xx3000",fontsize=16,color="green",shape="box"];633[label="xx4000",fontsize=16,color="green",shape="box"];634[label="xx3000",fontsize=16,color="green",shape="box"];635[label="xx4000",fontsize=16,color="green",shape="box"];636[label="xx3000",fontsize=16,color="green",shape="box"];637[label="xx4000",fontsize=16,color="green",shape="box"];638[label="xx3000",fontsize=16,color="green",shape="box"];639[label="xx4000",fontsize=16,color="green",shape="box"];640[label="xx3000",fontsize=16,color="green",shape="box"];641[label="xx4000",fontsize=16,color="green",shape="box"];642[label="xx3000",fontsize=16,color="green",shape="box"];643[label="xx4000",fontsize=16,color="green",shape="box"];644[label="xx3000",fontsize=16,color="green",shape="box"];645[label="xx4000",fontsize=16,color="green",shape="box"];646[label="xx3000",fontsize=16,color="green",shape="box"];647[label="xx4000",fontsize=16,color="green",shape="box"];648[label="xx3000",fontsize=16,color="green",shape="box"];649[label="xx4000",fontsize=16,color="green",shape="box"];650[label="xx3000",fontsize=16,color="green",shape="box"];651[label="xx4000",fontsize=16,color="green",shape="box"];652[label="xx3000",fontsize=16,color="green",shape="box"];653 -> 381[label="",style="dashed", color="red", weight=0]; 16.09/6.03 653[label="xx3000 == xx4000",fontsize=16,color="magenta"];653 -> 784[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 653 -> 785[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 654 -> 382[label="",style="dashed", color="red", weight=0]; 16.09/6.03 654[label="xx3000 == xx4000",fontsize=16,color="magenta"];654 -> 786[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 654 -> 787[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 655 -> 383[label="",style="dashed", color="red", weight=0]; 16.09/6.03 655[label="xx3000 == xx4000",fontsize=16,color="magenta"];655 -> 788[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 655 -> 789[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 656 -> 384[label="",style="dashed", color="red", weight=0]; 16.09/6.03 656[label="xx3000 == xx4000",fontsize=16,color="magenta"];656 -> 790[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 656 -> 791[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 657 -> 385[label="",style="dashed", color="red", weight=0]; 16.09/6.03 657[label="xx3000 == xx4000",fontsize=16,color="magenta"];657 -> 792[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 657 -> 793[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 658 -> 386[label="",style="dashed", color="red", weight=0]; 16.09/6.03 658[label="xx3000 == xx4000",fontsize=16,color="magenta"];658 -> 794[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 658 -> 795[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 659 -> 387[label="",style="dashed", color="red", weight=0]; 16.09/6.03 659[label="xx3000 == xx4000",fontsize=16,color="magenta"];659 -> 796[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 659 -> 797[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 660 -> 388[label="",style="dashed", color="red", weight=0]; 16.09/6.03 660[label="xx3000 == xx4000",fontsize=16,color="magenta"];660 -> 798[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 660 -> 799[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 661 -> 389[label="",style="dashed", color="red", weight=0]; 16.09/6.03 661[label="xx3000 == xx4000",fontsize=16,color="magenta"];661 -> 800[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 661 -> 801[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 662 -> 390[label="",style="dashed", color="red", weight=0]; 16.09/6.03 662[label="xx3000 == xx4000",fontsize=16,color="magenta"];662 -> 802[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 662 -> 803[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 663 -> 391[label="",style="dashed", color="red", weight=0]; 16.09/6.03 663[label="xx3000 == xx4000",fontsize=16,color="magenta"];663 -> 804[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 663 -> 805[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 664 -> 392[label="",style="dashed", color="red", weight=0]; 16.09/6.03 664[label="xx3000 == xx4000",fontsize=16,color="magenta"];664 -> 806[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 664 -> 807[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 665 -> 393[label="",style="dashed", color="red", weight=0]; 16.09/6.03 665[label="xx3000 == xx4000",fontsize=16,color="magenta"];665 -> 808[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 665 -> 809[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 666 -> 378[label="",style="dashed", color="red", weight=0]; 16.09/6.03 666[label="xx3000 == xx4000",fontsize=16,color="magenta"];666 -> 810[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 666 -> 811[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 667[label="xx3001 == xx4001",fontsize=16,color="blue",shape="box"];1226[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];667 -> 1226[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1226 -> 812[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1227[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];667 -> 1227[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1227 -> 813[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1228[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];667 -> 1228[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1228 -> 814[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1229[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];667 -> 1229[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1229 -> 815[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1230[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];667 -> 1230[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1230 -> 816[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1231[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];667 -> 1231[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1231 -> 817[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1232[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];667 -> 1232[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1232 -> 818[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1233[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];667 -> 1233[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1233 -> 819[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1234[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];667 -> 1234[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1234 -> 820[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1235[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];667 -> 1235[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1235 -> 821[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1236[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];667 -> 1236[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1236 -> 822[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1237[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];667 -> 1237[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1237 -> 823[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1238[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];667 -> 1238[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1238 -> 824[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1239[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];667 -> 1239[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1239 -> 825[label="",style="solid", color="blue", weight=3]; 16.09/6.03 668[label="xx3002 == xx4002",fontsize=16,color="blue",shape="box"];1240[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];668 -> 1240[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1240 -> 826[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1241[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];668 -> 1241[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1241 -> 827[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1242[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];668 -> 1242[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1242 -> 828[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1243[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];668 -> 1243[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1243 -> 829[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1244[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];668 -> 1244[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1244 -> 830[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1245[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];668 -> 1245[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1245 -> 831[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1246[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];668 -> 1246[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1246 -> 832[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1247[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];668 -> 1247[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1247 -> 833[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1248[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];668 -> 1248[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1248 -> 834[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1249[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];668 -> 1249[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1249 -> 835[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1250[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];668 -> 1250[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1250 -> 836[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1251[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];668 -> 1251[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1251 -> 837[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1252[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];668 -> 1252[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1252 -> 838[label="",style="solid", color="blue", weight=3]; 16.09/6.03 1253[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];668 -> 1253[label="",style="solid", color="blue", weight=9]; 16.09/6.03 1253 -> 839[label="",style="solid", color="blue", weight=3]; 16.09/6.03 669 -> 381[label="",style="dashed", color="red", weight=0]; 16.09/6.03 669[label="xx3000 == xx4000",fontsize=16,color="magenta"];669 -> 840[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 669 -> 841[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 670 -> 382[label="",style="dashed", color="red", weight=0]; 16.09/6.03 670[label="xx3000 == xx4000",fontsize=16,color="magenta"];670 -> 842[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 670 -> 843[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 671 -> 383[label="",style="dashed", color="red", weight=0]; 16.09/6.03 671[label="xx3000 == xx4000",fontsize=16,color="magenta"];671 -> 844[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 671 -> 845[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 672 -> 384[label="",style="dashed", color="red", weight=0]; 16.09/6.03 672[label="xx3000 == xx4000",fontsize=16,color="magenta"];672 -> 846[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 672 -> 847[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 673 -> 385[label="",style="dashed", color="red", weight=0]; 16.09/6.03 673[label="xx3000 == xx4000",fontsize=16,color="magenta"];673 -> 848[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 673 -> 849[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 674 -> 386[label="",style="dashed", color="red", weight=0]; 16.09/6.03 674[label="xx3000 == xx4000",fontsize=16,color="magenta"];674 -> 850[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 674 -> 851[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 675 -> 387[label="",style="dashed", color="red", weight=0]; 16.09/6.03 675[label="xx3000 == xx4000",fontsize=16,color="magenta"];675 -> 852[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 675 -> 853[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 676 -> 388[label="",style="dashed", color="red", weight=0]; 16.09/6.03 676[label="xx3000 == xx4000",fontsize=16,color="magenta"];676 -> 854[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 676 -> 855[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 677 -> 389[label="",style="dashed", color="red", weight=0]; 16.09/6.03 677[label="xx3000 == xx4000",fontsize=16,color="magenta"];677 -> 856[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 677 -> 857[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 678 -> 390[label="",style="dashed", color="red", weight=0]; 16.09/6.03 678[label="xx3000 == xx4000",fontsize=16,color="magenta"];678 -> 858[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 678 -> 859[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 679 -> 391[label="",style="dashed", color="red", weight=0]; 16.09/6.03 679[label="xx3000 == xx4000",fontsize=16,color="magenta"];679 -> 860[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 679 -> 861[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 680 -> 392[label="",style="dashed", color="red", weight=0]; 16.09/6.03 680[label="xx3000 == xx4000",fontsize=16,color="magenta"];680 -> 862[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 680 -> 863[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 681 -> 393[label="",style="dashed", color="red", weight=0]; 16.09/6.03 681[label="xx3000 == xx4000",fontsize=16,color="magenta"];681 -> 864[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 681 -> 865[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 682 -> 378[label="",style="dashed", color="red", weight=0]; 16.09/6.03 682[label="xx3000 == xx4000",fontsize=16,color="magenta"];682 -> 866[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 682 -> 867[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 683 -> 381[label="",style="dashed", color="red", weight=0]; 16.09/6.03 683[label="xx3001 == xx4001",fontsize=16,color="magenta"];683 -> 868[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 683 -> 869[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 684 -> 382[label="",style="dashed", color="red", weight=0]; 16.09/6.03 684[label="xx3001 == xx4001",fontsize=16,color="magenta"];684 -> 870[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 684 -> 871[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 685 -> 383[label="",style="dashed", color="red", weight=0]; 16.09/6.03 685[label="xx3001 == xx4001",fontsize=16,color="magenta"];685 -> 872[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 685 -> 873[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 686 -> 384[label="",style="dashed", color="red", weight=0]; 16.09/6.03 686[label="xx3001 == xx4001",fontsize=16,color="magenta"];686 -> 874[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 686 -> 875[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 687 -> 385[label="",style="dashed", color="red", weight=0]; 16.09/6.03 687[label="xx3001 == xx4001",fontsize=16,color="magenta"];687 -> 876[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 687 -> 877[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 688 -> 386[label="",style="dashed", color="red", weight=0]; 16.09/6.03 688[label="xx3001 == xx4001",fontsize=16,color="magenta"];688 -> 878[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 688 -> 879[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 689 -> 387[label="",style="dashed", color="red", weight=0]; 16.09/6.03 689[label="xx3001 == xx4001",fontsize=16,color="magenta"];689 -> 880[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 689 -> 881[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 690 -> 388[label="",style="dashed", color="red", weight=0]; 16.09/6.03 690[label="xx3001 == xx4001",fontsize=16,color="magenta"];690 -> 882[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 690 -> 883[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 691 -> 389[label="",style="dashed", color="red", weight=0]; 16.09/6.03 691[label="xx3001 == xx4001",fontsize=16,color="magenta"];691 -> 884[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 691 -> 885[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 692 -> 390[label="",style="dashed", color="red", weight=0]; 16.09/6.03 692[label="xx3001 == xx4001",fontsize=16,color="magenta"];692 -> 886[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 692 -> 887[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 693 -> 391[label="",style="dashed", color="red", weight=0]; 16.09/6.03 693[label="xx3001 == xx4001",fontsize=16,color="magenta"];693 -> 888[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 693 -> 889[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 694 -> 392[label="",style="dashed", color="red", weight=0]; 16.09/6.03 694[label="xx3001 == xx4001",fontsize=16,color="magenta"];694 -> 890[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 694 -> 891[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 695 -> 393[label="",style="dashed", color="red", weight=0]; 16.09/6.03 695[label="xx3001 == xx4001",fontsize=16,color="magenta"];695 -> 892[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 695 -> 893[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 696 -> 378[label="",style="dashed", color="red", weight=0]; 16.09/6.03 696[label="xx3001 == xx4001",fontsize=16,color="magenta"];696 -> 894[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 696 -> 895[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 697[label="xx4000",fontsize=16,color="green",shape="box"];698[label="xx3000",fontsize=16,color="green",shape="box"];699[label="xx4000",fontsize=16,color="green",shape="box"];700[label="xx3000",fontsize=16,color="green",shape="box"];701[label="xx4000",fontsize=16,color="green",shape="box"];702[label="xx3000",fontsize=16,color="green",shape="box"];703[label="xx4000",fontsize=16,color="green",shape="box"];704[label="xx3000",fontsize=16,color="green",shape="box"];705[label="xx4000",fontsize=16,color="green",shape="box"];706[label="xx3000",fontsize=16,color="green",shape="box"];707[label="xx4000",fontsize=16,color="green",shape="box"];708[label="xx3000",fontsize=16,color="green",shape="box"];709[label="xx4000",fontsize=16,color="green",shape="box"];710[label="xx3000",fontsize=16,color="green",shape="box"];711[label="xx4000",fontsize=16,color="green",shape="box"];712[label="xx3000",fontsize=16,color="green",shape="box"];713[label="xx4000",fontsize=16,color="green",shape="box"];714[label="xx3000",fontsize=16,color="green",shape="box"];715[label="xx4000",fontsize=16,color="green",shape="box"];716[label="xx3000",fontsize=16,color="green",shape="box"];717[label="xx4000",fontsize=16,color="green",shape="box"];718[label="xx3000",fontsize=16,color="green",shape="box"];719[label="xx4000",fontsize=16,color="green",shape="box"];720[label="xx3000",fontsize=16,color="green",shape="box"];721[label="xx4000",fontsize=16,color="green",shape="box"];722[label="xx3000",fontsize=16,color="green",shape="box"];723[label="xx4000",fontsize=16,color="green",shape="box"];724[label="xx3000",fontsize=16,color="green",shape="box"];725[label="xx4010",fontsize=16,color="green",shape="box"];726[label="xx3010",fontsize=16,color="green",shape="box"];727[label="xx4010",fontsize=16,color="green",shape="box"];728[label="xx3010",fontsize=16,color="green",shape="box"];729[label="xx4010",fontsize=16,color="green",shape="box"];730[label="xx3010",fontsize=16,color="green",shape="box"];731[label="xx4010",fontsize=16,color="green",shape="box"];732[label="xx3010",fontsize=16,color="green",shape="box"];733[label="xx4010",fontsize=16,color="green",shape="box"];734[label="xx3010",fontsize=16,color="green",shape="box"];735[label="xx4010",fontsize=16,color="green",shape="box"];736[label="xx3010",fontsize=16,color="green",shape="box"];737[label="xx4010",fontsize=16,color="green",shape="box"];738[label="xx3010",fontsize=16,color="green",shape="box"];739[label="xx4010",fontsize=16,color="green",shape="box"];740[label="xx3010",fontsize=16,color="green",shape="box"];741[label="xx4010",fontsize=16,color="green",shape="box"];742[label="xx3010",fontsize=16,color="green",shape="box"];743[label="xx4010",fontsize=16,color="green",shape="box"];744[label="xx3010",fontsize=16,color="green",shape="box"];745[label="xx4010",fontsize=16,color="green",shape="box"];746[label="xx3010",fontsize=16,color="green",shape="box"];747[label="xx4010",fontsize=16,color="green",shape="box"];748[label="xx3010",fontsize=16,color="green",shape="box"];749[label="xx4010",fontsize=16,color="green",shape="box"];750[label="xx3010",fontsize=16,color="green",shape="box"];751[label="xx4010",fontsize=16,color="green",shape="box"];752[label="xx3010",fontsize=16,color="green",shape="box"];753 -> 510[label="",style="dashed", color="red", weight=0]; 16.09/6.03 753[label="primEqNat xx30000 xx40000",fontsize=16,color="magenta"];753 -> 896[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 753 -> 897[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 754[label="False",fontsize=16,color="green",shape="box"];755[label="False",fontsize=16,color="green",shape="box"];756[label="True",fontsize=16,color="green",shape="box"];757[label="False",fontsize=16,color="green",shape="box"];758[label="True",fontsize=16,color="green",shape="box"];759 -> 510[label="",style="dashed", color="red", weight=0]; 16.09/6.03 759[label="primEqNat xx30000 xx40000",fontsize=16,color="magenta"];759 -> 898[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 759 -> 899[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 760[label="False",fontsize=16,color="green",shape="box"];761[label="False",fontsize=16,color="green",shape="box"];762[label="True",fontsize=16,color="green",shape="box"];763[label="False",fontsize=16,color="green",shape="box"];764[label="True",fontsize=16,color="green",shape="box"];765[label="xx4000",fontsize=16,color="green",shape="box"];766[label="xx3000",fontsize=16,color="green",shape="box"];767[label="xx4000",fontsize=16,color="green",shape="box"];768[label="xx3000",fontsize=16,color="green",shape="box"];769[label="xx4001",fontsize=16,color="green",shape="box"];770[label="xx3001",fontsize=16,color="green",shape="box"];771[label="xx4001",fontsize=16,color="green",shape="box"];772[label="xx3001",fontsize=16,color="green",shape="box"];773[label="primMulInt xx3001 xx4000",fontsize=16,color="burlywood",shape="box"];1254[label="xx3001/Pos xx30010",fontsize=10,color="white",style="solid",shape="box"];773 -> 1254[label="",style="solid", color="burlywood", weight=9]; 16.09/6.03 1254 -> 900[label="",style="solid", color="burlywood", weight=3]; 16.09/6.03 1255[label="xx3001/Neg xx30010",fontsize=10,color="white",style="solid",shape="box"];773 -> 1255[label="",style="solid", color="burlywood", weight=9]; 16.09/6.03 1255 -> 901[label="",style="solid", color="burlywood", weight=3]; 16.09/6.03 774[label="xx4001",fontsize=16,color="green",shape="box"];775[label="xx3000",fontsize=16,color="green",shape="box"];776[label="xx4000",fontsize=16,color="green",shape="box"];777[label="xx3001",fontsize=16,color="green",shape="box"];778[label="xx4001",fontsize=16,color="green",shape="box"];779[label="xx3000",fontsize=16,color="green",shape="box"];780[label="primEqNat (Succ xx30000) (Succ xx40000)",fontsize=16,color="black",shape="box"];780 -> 902[label="",style="solid", color="black", weight=3]; 16.09/6.03 781[label="primEqNat (Succ xx30000) Zero",fontsize=16,color="black",shape="box"];781 -> 903[label="",style="solid", color="black", weight=3]; 16.09/6.03 782[label="primEqNat Zero (Succ xx40000)",fontsize=16,color="black",shape="box"];782 -> 904[label="",style="solid", color="black", weight=3]; 16.09/6.03 783[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];783 -> 905[label="",style="solid", color="black", weight=3]; 16.09/6.03 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weight=0]; 16.09/6.03 973[label="primMulNat xx30010 xx40000",fontsize=16,color="magenta"];973 -> 978[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 974 -> 972[label="",style="dashed", color="red", weight=0]; 16.09/6.03 974[label="primMulNat xx30010 xx40000",fontsize=16,color="magenta"];974 -> 979[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 975 -> 972[label="",style="dashed", color="red", weight=0]; 16.09/6.03 975[label="primMulNat xx30010 xx40000",fontsize=16,color="magenta"];975 -> 980[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 975 -> 981[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 976[label="primMulNat (Succ xx300100) xx40000",fontsize=16,color="burlywood",shape="box"];1262[label="xx40000/Succ xx400000",fontsize=10,color="white",style="solid",shape="box"];976 -> 1262[label="",style="solid", color="burlywood", weight=9]; 16.09/6.03 1262 -> 982[label="",style="solid", color="burlywood", weight=3]; 16.09/6.03 1263[label="xx40000/Zero",fontsize=10,color="white",style="solid",shape="box"];976 -> 1263[label="",style="solid", color="burlywood", weight=9]; 16.09/6.03 1263 -> 983[label="",style="solid", color="burlywood", weight=3]; 16.09/6.03 977[label="primMulNat Zero xx40000",fontsize=16,color="burlywood",shape="box"];1264[label="xx40000/Succ xx400000",fontsize=10,color="white",style="solid",shape="box"];977 -> 1264[label="",style="solid", color="burlywood", weight=9]; 16.09/6.03 1264 -> 984[label="",style="solid", color="burlywood", weight=3]; 16.09/6.03 1265[label="xx40000/Zero",fontsize=10,color="white",style="solid",shape="box"];977 -> 1265[label="",style="solid", color="burlywood", weight=9]; 16.09/6.03 1265 -> 985[label="",style="solid", color="burlywood", weight=3]; 16.09/6.03 978[label="xx40000",fontsize=16,color="green",shape="box"];979[label="xx30010",fontsize=16,color="green",shape="box"];980[label="xx40000",fontsize=16,color="green",shape="box"];981[label="xx30010",fontsize=16,color="green",shape="box"];982[label="primMulNat (Succ xx300100) (Succ xx400000)",fontsize=16,color="black",shape="box"];982 -> 986[label="",style="solid", color="black", weight=3]; 16.09/6.03 983[label="primMulNat (Succ xx300100) Zero",fontsize=16,color="black",shape="box"];983 -> 987[label="",style="solid", color="black", weight=3]; 16.09/6.03 984[label="primMulNat Zero (Succ xx400000)",fontsize=16,color="black",shape="box"];984 -> 988[label="",style="solid", color="black", weight=3]; 16.09/6.03 985[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];985 -> 989[label="",style="solid", color="black", weight=3]; 16.09/6.03 986 -> 990[label="",style="dashed", color="red", weight=0]; 16.09/6.03 986[label="primPlusNat (primMulNat xx300100 (Succ xx400000)) (Succ xx400000)",fontsize=16,color="magenta"];986 -> 991[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 987[label="Zero",fontsize=16,color="green",shape="box"];988[label="Zero",fontsize=16,color="green",shape="box"];989[label="Zero",fontsize=16,color="green",shape="box"];991 -> 972[label="",style="dashed", color="red", weight=0]; 16.09/6.03 991[label="primMulNat xx300100 (Succ xx400000)",fontsize=16,color="magenta"];991 -> 992[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 991 -> 993[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 990[label="primPlusNat xx33 (Succ xx400000)",fontsize=16,color="burlywood",shape="triangle"];1266[label="xx33/Succ xx330",fontsize=10,color="white",style="solid",shape="box"];990 -> 1266[label="",style="solid", color="burlywood", weight=9]; 16.09/6.03 1266 -> 994[label="",style="solid", color="burlywood", weight=3]; 16.09/6.03 1267[label="xx33/Zero",fontsize=10,color="white",style="solid",shape="box"];990 -> 1267[label="",style="solid", color="burlywood", weight=9]; 16.09/6.03 1267 -> 995[label="",style="solid", color="burlywood", weight=3]; 16.09/6.03 992[label="Succ xx400000",fontsize=16,color="green",shape="box"];993[label="xx300100",fontsize=16,color="green",shape="box"];994[label="primPlusNat (Succ xx330) (Succ xx400000)",fontsize=16,color="black",shape="box"];994 -> 996[label="",style="solid", color="black", weight=3]; 16.09/6.03 995[label="primPlusNat Zero (Succ xx400000)",fontsize=16,color="black",shape="box"];995 -> 997[label="",style="solid", color="black", weight=3]; 16.09/6.03 996[label="Succ (Succ (primPlusNat xx330 xx400000))",fontsize=16,color="green",shape="box"];996 -> 998[label="",style="dashed", color="green", weight=3]; 16.09/6.03 997[label="Succ xx400000",fontsize=16,color="green",shape="box"];998[label="primPlusNat xx330 xx400000",fontsize=16,color="burlywood",shape="triangle"];1268[label="xx330/Succ xx3300",fontsize=10,color="white",style="solid",shape="box"];998 -> 1268[label="",style="solid", color="burlywood", weight=9]; 16.09/6.03 1268 -> 999[label="",style="solid", color="burlywood", weight=3]; 16.09/6.03 1269[label="xx330/Zero",fontsize=10,color="white",style="solid",shape="box"];998 -> 1269[label="",style="solid", color="burlywood", weight=9]; 16.09/6.03 1269 -> 1000[label="",style="solid", color="burlywood", weight=3]; 16.09/6.03 999[label="primPlusNat (Succ xx3300) xx400000",fontsize=16,color="burlywood",shape="box"];1270[label="xx400000/Succ xx4000000",fontsize=10,color="white",style="solid",shape="box"];999 -> 1270[label="",style="solid", color="burlywood", weight=9]; 16.09/6.03 1270 -> 1001[label="",style="solid", color="burlywood", weight=3]; 16.09/6.03 1271[label="xx400000/Zero",fontsize=10,color="white",style="solid",shape="box"];999 -> 1271[label="",style="solid", color="burlywood", weight=9]; 16.09/6.03 1271 -> 1002[label="",style="solid", color="burlywood", weight=3]; 16.09/6.03 1000[label="primPlusNat Zero xx400000",fontsize=16,color="burlywood",shape="box"];1272[label="xx400000/Succ xx4000000",fontsize=10,color="white",style="solid",shape="box"];1000 -> 1272[label="",style="solid", color="burlywood", weight=9]; 16.09/6.03 1272 -> 1003[label="",style="solid", color="burlywood", weight=3]; 16.09/6.03 1273[label="xx400000/Zero",fontsize=10,color="white",style="solid",shape="box"];1000 -> 1273[label="",style="solid", color="burlywood", weight=9]; 16.09/6.03 1273 -> 1004[label="",style="solid", color="burlywood", weight=3]; 16.09/6.03 1001[label="primPlusNat (Succ xx3300) (Succ xx4000000)",fontsize=16,color="black",shape="box"];1001 -> 1005[label="",style="solid", color="black", weight=3]; 16.09/6.03 1002[label="primPlusNat (Succ xx3300) Zero",fontsize=16,color="black",shape="box"];1002 -> 1006[label="",style="solid", color="black", weight=3]; 16.09/6.03 1003[label="primPlusNat Zero (Succ xx4000000)",fontsize=16,color="black",shape="box"];1003 -> 1007[label="",style="solid", color="black", weight=3]; 16.09/6.03 1004[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];1004 -> 1008[label="",style="solid", color="black", weight=3]; 16.09/6.03 1005[label="Succ (Succ (primPlusNat xx3300 xx4000000))",fontsize=16,color="green",shape="box"];1005 -> 1009[label="",style="dashed", color="green", weight=3]; 16.09/6.03 1006[label="Succ xx3300",fontsize=16,color="green",shape="box"];1007[label="Succ xx4000000",fontsize=16,color="green",shape="box"];1008[label="Zero",fontsize=16,color="green",shape="box"];1009 -> 998[label="",style="dashed", color="red", weight=0]; 16.09/6.03 1009[label="primPlusNat xx3300 xx4000000",fontsize=16,color="magenta"];1009 -> 1010[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 1009 -> 1011[label="",style="dashed", color="magenta", weight=3]; 16.09/6.03 1010[label="xx4000000",fontsize=16,color="green",shape="box"];1011[label="xx3300",fontsize=16,color="green",shape="box"];} 16.09/6.03 16.09/6.03 ---------------------------------------- 16.09/6.03 16.09/6.03 (12) 16.09/6.03 Complex Obligation (AND) 16.09/6.03 16.09/6.03 ---------------------------------------- 16.09/6.03 16.09/6.03 (13) 16.09/6.03 Obligation: 16.09/6.03 Q DP problem: 16.09/6.03 The TRS P consists of the following rules: 16.09/6.03 16.09/6.03 new_psPs0(:(xx300, xx301), :([], xx41), xx5, bb) -> new_psPs(xx300, xx301, False, xx41, xx5, bb) 16.09/6.03 new_psPs0(:(xx300, xx301), :(:(xx400, xx401), xx41), xx5, bb) -> new_psPs(xx300, xx301, new_asAs(new_esEs4(xx300, xx400, bb), new_esEs5(xx301, xx401, bb)), xx41, xx5, bb) 16.09/6.03 new_psPs(xx13, xx14, False, xx17, xx18, ba) -> new_psPs0(:(xx13, xx14), xx17, xx18, ba) 16.09/6.03 new_psPs0([], :(:(xx400, xx401), xx41), xx5, bb) -> new_psPs0([], xx41, xx5, bb) 16.09/6.03 16.09/6.03 The TRS R consists of the following rules: 16.09/6.03 16.09/6.03 new_esEs23(xx3002, xx4002, app(ty_Ratio, bba)) -> new_esEs10(xx3002, xx4002, bba) 16.09/6.03 new_esEs14(GT, GT) -> True 16.09/6.03 new_primEqInt(Pos(Zero), Pos(Zero)) -> True 16.09/6.03 new_esEs19(xx3000, xx4000, ty_Integer) -> new_esEs12(xx3000, xx4000) 16.09/6.03 new_primPlusNat0(Zero, Zero) -> Zero 16.09/6.03 new_esEs22(xx3001, xx4001, app(app(app(ty_@3, bab), bac), bad)) -> new_esEs16(xx3001, xx4001, bab, bac, bad) 16.09/6.03 new_esEs4(xx300, xx400, ty_Float) -> new_esEs11(xx300, xx400) 16.09/6.03 new_esEs8(Nothing, Nothing, bc) -> True 16.09/6.03 new_esEs15(Left(xx3000), Right(xx4000), cg, da) -> False 16.09/6.03 new_esEs15(Right(xx3000), Left(xx4000), cg, da) -> False 16.09/6.03 new_esEs22(xx3001, xx4001, app(app(ty_Either, hh), baa)) -> new_esEs15(xx3001, xx4001, hh, baa) 16.09/6.03 new_esEs23(xx3002, xx4002, ty_Char) -> new_esEs13(xx3002, xx4002) 16.09/6.03 new_esEs4(xx300, xx400, ty_Char) -> new_esEs13(xx300, xx400) 16.09/6.03 new_esEs15(Left(xx3000), Left(xx4000), ty_Ordering, da) -> new_esEs14(xx3000, xx4000) 16.09/6.03 new_esEs15(Right(xx3000), Right(xx4000), cg, app(app(ty_@2, bec), bed)) -> new_esEs18(xx3000, xx4000, bec, bed) 16.09/6.03 new_esEs8(Nothing, Just(xx4000), bc) -> False 16.09/6.03 new_esEs8(Just(xx3000), Nothing, bc) -> False 16.09/6.03 new_esEs25(xx3001, xx4001, ty_Integer) -> new_esEs12(xx3001, xx4001) 16.09/6.03 new_esEs20(xx3001, xx4001, ty_Bool) -> new_esEs17(xx3001, xx4001) 16.09/6.03 new_esEs14(EQ, EQ) -> True 16.09/6.03 new_esEs22(xx3001, xx4001, app(ty_Maybe, bag)) -> new_esEs8(xx3001, xx4001, bag) 16.09/6.03 new_esEs15(Right(xx3000), Right(xx4000), cg, app(app(app(ty_@3, bdh), bea), beb)) -> new_esEs16(xx3000, xx4000, bdh, bea, beb) 16.09/6.03 new_esEs26(xx3010, xx4010, ty_Double) -> new_esEs6(xx3010, xx4010) 16.09/6.03 new_primMulNat0(Succ(xx300100), Succ(xx400000)) -> new_primPlusNat1(new_primMulNat0(xx300100, Succ(xx400000)), xx400000) 16.09/6.03 new_esEs5([], [], bb) -> True 16.09/6.03 new_esEs14(EQ, GT) -> False 16.09/6.03 new_esEs14(GT, EQ) -> False 16.09/6.03 new_esEs23(xx3002, xx4002, ty_@0) -> new_esEs9(xx3002, xx4002) 16.09/6.03 new_esEs15(Right(xx3000), Right(xx4000), cg, ty_Ordering) -> new_esEs14(xx3000, xx4000) 16.09/6.03 new_esEs8(Just(xx3000), Just(xx4000), ty_@0) -> new_esEs9(xx3000, xx4000) 16.09/6.03 new_esEs20(xx3001, xx4001, app(ty_[], gd)) -> new_esEs5(xx3001, xx4001, gd) 16.09/6.03 new_esEs15(Right(xx3000), Right(xx4000), cg, ty_@0) -> new_esEs9(xx3000, xx4000) 16.09/6.03 new_asAs(True, xx32) -> xx32 16.09/6.03 new_esEs19(xx3000, xx4000, ty_Float) -> new_esEs11(xx3000, xx4000) 16.09/6.03 new_esEs4(xx300, xx400, ty_Integer) -> new_esEs12(xx300, xx400) 16.09/6.03 new_esEs26(xx3010, xx4010, app(app(ty_@2, de), df)) -> new_esEs18(xx3010, xx4010, de, df) 16.09/6.03 new_esEs21(xx3000, xx4000, ty_Int) -> new_esEs7(xx3000, xx4000) 16.09/6.03 new_esEs15(Left(xx3000), Left(xx4000), ty_Char, da) -> new_esEs13(xx3000, xx4000) 16.09/6.03 new_esEs17(False, True) -> False 16.09/6.03 new_esEs17(True, False) -> False 16.09/6.03 new_esEs15(Right(xx3000), Right(xx4000), cg, ty_Float) -> new_esEs11(xx3000, xx4000) 16.09/6.03 new_primEqInt(Pos(Succ(xx30000)), Pos(Zero)) -> False 16.09/6.03 new_primEqInt(Pos(Zero), Pos(Succ(xx40000))) -> False 16.09/6.03 new_esEs8(Just(xx3000), Just(xx4000), ty_Float) -> new_esEs11(xx3000, xx4000) 16.09/6.03 new_esEs19(xx3000, xx4000, ty_Char) -> new_esEs13(xx3000, xx4000) 16.09/6.03 new_esEs8(Just(xx3000), Just(xx4000), ty_Integer) -> new_esEs12(xx3000, xx4000) 16.09/6.03 new_esEs15(Left(xx3000), Left(xx4000), ty_Float, da) -> new_esEs11(xx3000, xx4000) 16.09/6.03 new_esEs4(xx300, xx400, app(ty_[], dg)) -> new_esEs5(xx300, xx400, dg) 16.09/6.03 new_esEs19(xx3000, xx4000, app(ty_[], fa)) -> new_esEs5(xx3000, xx4000, fa) 16.09/6.03 new_esEs15(Right(xx3000), Right(xx4000), cg, ty_Char) -> new_esEs13(xx3000, xx4000) 16.09/6.03 new_esEs8(Just(xx3000), Just(xx4000), ty_Char) -> new_esEs13(xx3000, xx4000) 16.09/6.03 new_primEqNat0(Succ(xx30000), Succ(xx40000)) -> new_primEqNat0(xx30000, xx40000) 16.09/6.03 new_esEs8(Just(xx3000), Just(xx4000), app(ty_Ratio, bd)) -> new_esEs10(xx3000, xx4000, bd) 16.09/6.03 new_esEs4(xx300, xx400, app(ty_Ratio, cf)) -> new_esEs10(xx300, xx400, cf) 16.09/6.03 new_esEs19(xx3000, xx4000, app(ty_Ratio, dh)) -> new_esEs10(xx3000, xx4000, dh) 16.09/6.03 new_esEs22(xx3001, xx4001, app(ty_[], bah)) -> new_esEs5(xx3001, xx4001, bah) 16.09/6.03 new_esEs20(xx3001, xx4001, app(ty_Maybe, gc)) -> new_esEs8(xx3001, xx4001, gc) 16.09/6.03 new_esEs8(Just(xx3000), Just(xx4000), ty_Bool) -> new_esEs17(xx3000, xx4000) 16.09/6.03 new_esEs9(@0, @0) -> True 16.09/6.03 new_esEs22(xx3001, xx4001, ty_Bool) -> new_esEs17(xx3001, xx4001) 16.09/6.03 new_esEs26(xx3010, xx4010, ty_Int) -> new_esEs7(xx3010, xx4010) 16.09/6.03 new_esEs4(xx300, xx400, ty_@0) -> new_esEs9(xx300, xx400) 16.09/6.03 new_esEs19(xx3000, xx4000, ty_@0) -> new_esEs9(xx3000, xx4000) 16.09/6.03 new_esEs8(Just(xx3000), Just(xx4000), app(ty_[], ce)) -> new_esEs5(xx3000, xx4000, ce) 16.09/6.03 new_esEs8(Just(xx3000), Just(xx4000), app(app(ty_Either, be), bf)) -> new_esEs15(xx3000, xx4000, be, bf) 16.09/6.03 new_esEs21(xx3000, xx4000, ty_Double) -> new_esEs6(xx3000, xx4000) 16.09/6.03 new_esEs23(xx3002, xx4002, app(app(ty_@2, bbg), bbh)) -> new_esEs18(xx3002, xx4002, bbg, bbh) 16.09/6.03 new_esEs23(xx3002, xx4002, ty_Int) -> new_esEs7(xx3002, xx4002) 16.09/6.03 new_primMulNat0(Zero, Zero) -> Zero 16.09/6.03 new_esEs19(xx3000, xx4000, app(app(app(ty_@3, ec), ed), ee)) -> new_esEs16(xx3000, xx4000, ec, ed, ee) 16.09/6.03 new_esEs23(xx3002, xx4002, app(ty_[], bcb)) -> new_esEs5(xx3002, xx4002, bcb) 16.09/6.03 new_esEs15(Left(xx3000), Left(xx4000), ty_Double, da) -> new_esEs6(xx3000, xx4000) 16.09/6.03 new_esEs8(Just(xx3000), Just(xx4000), app(app(app(ty_@3, bg), bh), ca)) -> new_esEs16(xx3000, xx4000, bg, bh, ca) 16.09/6.03 new_esEs20(xx3001, xx4001, ty_Float) -> new_esEs11(xx3001, xx4001) 16.09/6.03 new_esEs19(xx3000, xx4000, ty_Bool) -> new_esEs17(xx3000, xx4000) 16.09/6.03 new_esEs4(xx300, xx400, ty_Ordering) -> new_esEs14(xx300, xx400) 16.09/6.03 new_esEs15(Right(xx3000), Right(xx4000), cg, ty_Int) -> new_esEs7(xx3000, xx4000) 16.09/6.03 new_esEs26(xx3010, xx4010, app(app(ty_Either, cg), da)) -> new_esEs15(xx3010, xx4010, cg, da) 16.09/6.03 new_esEs15(Right(xx3000), Right(xx4000), cg, ty_Double) -> new_esEs6(xx3000, xx4000) 16.09/6.03 new_esEs15(Left(xx3000), Left(xx4000), app(app(ty_Either, bcd), bce), da) -> new_esEs15(xx3000, xx4000, bcd, bce) 16.09/6.03 new_esEs4(xx300, xx400, ty_Int) -> new_esEs7(xx300, xx400) 16.09/6.03 new_esEs15(Right(xx3000), Right(xx4000), cg, ty_Integer) -> new_esEs12(xx3000, xx4000) 16.09/6.03 new_primEqNat0(Succ(xx30000), Zero) -> False 16.09/6.03 new_primEqNat0(Zero, Succ(xx40000)) -> False 16.09/6.03 new_esEs26(xx3010, xx4010, app(ty_Maybe, bc)) -> new_esEs8(xx3010, xx4010, bc) 16.09/6.03 new_esEs11(Float(xx3000, xx3001), Float(xx4000, xx4001)) -> new_esEs7(new_sr(xx3000, xx4001), new_sr(xx3001, xx4000)) 16.09/6.03 new_esEs12(Integer(xx3000), Integer(xx4000)) -> new_primEqInt(xx3000, xx4000) 16.09/6.03 new_esEs21(xx3000, xx4000, ty_Float) -> new_esEs11(xx3000, xx4000) 16.09/6.03 new_esEs10(:%(xx3000, xx3001), :%(xx4000, xx4001), cf) -> new_asAs(new_esEs24(xx3000, xx4000, cf), new_esEs25(xx3001, xx4001, cf)) 16.09/6.03 new_esEs19(xx3000, xx4000, app(app(ty_Either, ea), eb)) -> new_esEs15(xx3000, xx4000, ea, eb) 16.09/6.03 new_esEs22(xx3001, xx4001, ty_Double) -> new_esEs6(xx3001, xx4001) 16.09/6.03 new_esEs15(Left(xx3000), Left(xx4000), ty_Int, da) -> new_esEs7(xx3000, xx4000) 16.09/6.03 new_esEs15(Right(xx3000), Right(xx4000), cg, app(ty_Maybe, bee)) -> new_esEs8(xx3000, xx4000, bee) 16.09/6.03 new_esEs20(xx3001, xx4001, app(app(ty_Either, fc), fd)) -> new_esEs15(xx3001, xx4001, fc, fd) 16.09/6.03 new_esEs26(xx3010, xx4010, ty_Float) -> new_esEs11(xx3010, xx4010) 16.09/6.03 new_esEs23(xx3002, xx4002, ty_Integer) -> new_esEs12(xx3002, xx4002) 16.09/6.03 new_esEs20(xx3001, xx4001, app(app(app(ty_@3, ff), fg), fh)) -> new_esEs16(xx3001, xx4001, ff, fg, fh) 16.09/6.03 new_esEs21(xx3000, xx4000, app(ty_Maybe, he)) -> new_esEs8(xx3000, xx4000, he) 16.09/6.03 new_esEs26(xx3010, xx4010, app(ty_Ratio, cf)) -> new_esEs10(xx3010, xx4010, cf) 16.09/6.03 new_primEqInt(Neg(Succ(xx30000)), Neg(Zero)) -> False 16.09/6.03 new_primEqInt(Neg(Zero), Neg(Succ(xx40000))) -> False 16.09/6.03 new_primEqInt(Pos(Succ(xx30000)), Pos(Succ(xx40000))) -> new_primEqNat0(xx30000, xx40000) 16.09/6.03 new_esEs23(xx3002, xx4002, ty_Ordering) -> new_esEs14(xx3002, xx4002) 16.09/6.03 new_esEs7(xx300, xx400) -> new_primEqInt(xx300, xx400) 16.09/6.03 new_sr(Pos(xx30010), Neg(xx40000)) -> Neg(new_primMulNat0(xx30010, xx40000)) 16.09/6.03 new_sr(Neg(xx30010), Pos(xx40000)) -> Neg(new_primMulNat0(xx30010, xx40000)) 16.09/6.03 new_primEqInt(Pos(Succ(xx30000)), Neg(xx4000)) -> False 16.09/6.03 new_primEqInt(Neg(Succ(xx30000)), Pos(xx4000)) -> False 16.09/6.03 new_esEs22(xx3001, xx4001, ty_Int) -> new_esEs7(xx3001, xx4001) 16.09/6.03 new_esEs15(Right(xx3000), Right(xx4000), cg, app(ty_Ratio, bde)) -> new_esEs10(xx3000, xx4000, bde) 16.09/6.03 new_esEs26(xx3010, xx4010, ty_Bool) -> new_esEs17(xx3010, xx4010) 16.09/6.03 new_esEs26(xx3010, xx4010, app(app(app(ty_@3, db), dc), dd)) -> new_esEs16(xx3010, xx4010, db, dc, dd) 16.09/6.03 new_esEs21(xx3000, xx4000, app(ty_Ratio, ge)) -> new_esEs10(xx3000, xx4000, ge) 16.09/6.03 new_esEs18(@2(xx3000, xx3001), @2(xx4000, xx4001), de, df) -> new_asAs(new_esEs19(xx3000, xx4000, de), new_esEs20(xx3001, xx4001, df)) 16.09/6.03 new_esEs15(Left(xx3000), Left(xx4000), app(ty_Maybe, bdc), da) -> new_esEs8(xx3000, xx4000, bdc) 16.09/6.03 new_esEs17(True, True) -> True 16.09/6.03 new_esEs23(xx3002, xx4002, app(ty_Maybe, bca)) -> new_esEs8(xx3002, xx4002, bca) 16.09/6.03 new_esEs26(xx3010, xx4010, ty_Integer) -> new_esEs12(xx3010, xx4010) 16.09/6.03 new_esEs15(Right(xx3000), Right(xx4000), cg, ty_Bool) -> new_esEs17(xx3000, xx4000) 16.09/6.03 new_esEs13(Char(xx3000), Char(xx4000)) -> new_primEqNat0(xx3000, xx4000) 16.09/6.03 new_esEs15(Left(xx3000), Left(xx4000), app(app(app(ty_@3, bcf), bcg), bch), da) -> new_esEs16(xx3000, xx4000, bcf, bcg, bch) 16.09/6.03 new_esEs8(Just(xx3000), Just(xx4000), ty_Int) -> new_esEs7(xx3000, xx4000) 16.09/6.03 new_esEs15(Left(xx3000), Left(xx4000), app(app(ty_@2, bda), bdb), da) -> new_esEs18(xx3000, xx4000, bda, bdb) 16.09/6.03 new_sr(Neg(xx30010), Neg(xx40000)) -> Pos(new_primMulNat0(xx30010, xx40000)) 16.09/6.03 new_esEs21(xx3000, xx4000, ty_Bool) -> new_esEs17(xx3000, xx4000) 16.09/6.03 new_esEs19(xx3000, xx4000, ty_Double) -> new_esEs6(xx3000, xx4000) 16.09/6.03 new_esEs15(Left(xx3000), Left(xx4000), app(ty_Ratio, bcc), da) -> new_esEs10(xx3000, xx4000, bcc) 16.09/6.03 new_esEs26(xx3010, xx4010, ty_@0) -> new_esEs9(xx3010, xx4010) 16.09/6.03 new_esEs19(xx3000, xx4000, ty_Int) -> new_esEs7(xx3000, xx4000) 16.09/6.03 new_esEs15(Left(xx3000), Left(xx4000), ty_Bool, da) -> new_esEs17(xx3000, xx4000) 16.09/6.03 new_esEs8(Just(xx3000), Just(xx4000), ty_Double) -> new_esEs6(xx3000, xx4000) 16.09/6.03 new_esEs23(xx3002, xx4002, ty_Bool) -> new_esEs17(xx3002, xx4002) 16.09/6.03 new_esEs21(xx3000, xx4000, app(app(ty_Either, gf), gg)) -> new_esEs15(xx3000, xx4000, gf, gg) 16.09/6.03 new_esEs21(xx3000, xx4000, app(app(app(ty_@3, gh), ha), hb)) -> new_esEs16(xx3000, xx4000, gh, ha, hb) 16.09/6.03 new_esEs4(xx300, xx400, app(ty_Maybe, bc)) -> new_esEs8(xx300, xx400, bc) 16.09/6.03 new_esEs8(Just(xx3000), Just(xx4000), app(app(ty_@2, cb), cc)) -> new_esEs18(xx3000, xx4000, cb, cc) 16.09/6.03 new_primEqInt(Pos(Zero), Neg(Succ(xx40000))) -> False 16.09/6.03 new_primEqInt(Neg(Zero), Pos(Succ(xx40000))) -> False 16.09/6.03 new_esEs19(xx3000, xx4000, app(app(ty_@2, ef), eg)) -> new_esEs18(xx3000, xx4000, ef, eg) 16.09/6.03 new_esEs20(xx3001, xx4001, ty_Ordering) -> new_esEs14(xx3001, xx4001) 16.09/6.03 new_primPlusNat0(Succ(xx3300), Succ(xx4000000)) -> Succ(Succ(new_primPlusNat0(xx3300, xx4000000))) 16.09/6.03 new_esEs4(xx300, xx400, app(app(ty_Either, cg), da)) -> new_esEs15(xx300, xx400, cg, da) 16.09/6.03 new_esEs8(Just(xx3000), Just(xx4000), ty_Ordering) -> new_esEs14(xx3000, xx4000) 16.09/6.03 new_esEs20(xx3001, xx4001, ty_Int) -> new_esEs7(xx3001, xx4001) 16.09/6.03 new_esEs5(:(xx3010, xx3011), :(xx4010, xx4011), bb) -> new_asAs(new_esEs26(xx3010, xx4010, bb), new_esEs5(xx3011, xx4011, bb)) 16.09/6.03 new_esEs22(xx3001, xx4001, ty_Float) -> new_esEs11(xx3001, xx4001) 16.09/6.03 new_primEqInt(Neg(Succ(xx30000)), Neg(Succ(xx40000))) -> new_primEqNat0(xx30000, xx40000) 16.09/6.03 new_esEs24(xx3000, xx4000, ty_Integer) -> new_esEs12(xx3000, xx4000) 16.09/6.03 new_esEs20(xx3001, xx4001, app(ty_Ratio, fb)) -> new_esEs10(xx3001, xx4001, fb) 16.09/6.03 new_esEs20(xx3001, xx4001, app(app(ty_@2, ga), gb)) -> new_esEs18(xx3001, xx4001, ga, gb) 16.09/6.03 new_esEs4(xx300, xx400, app(app(app(ty_@3, db), dc), dd)) -> new_esEs16(xx300, xx400, db, dc, dd) 16.09/6.03 new_esEs4(xx300, xx400, ty_Bool) -> new_esEs17(xx300, xx400) 16.09/6.03 new_esEs23(xx3002, xx4002, ty_Double) -> new_esEs6(xx3002, xx4002) 16.09/6.03 new_esEs4(xx300, xx400, ty_Double) -> new_esEs6(xx300, xx400) 16.09/6.03 new_esEs19(xx3000, xx4000, ty_Ordering) -> new_esEs14(xx3000, xx4000) 16.09/6.03 new_esEs22(xx3001, xx4001, ty_@0) -> new_esEs9(xx3001, xx4001) 16.09/6.03 new_esEs22(xx3001, xx4001, app(ty_Ratio, hg)) -> new_esEs10(xx3001, xx4001, hg) 16.09/6.03 new_esEs14(LT, GT) -> False 16.09/6.03 new_esEs14(GT, LT) -> False 16.09/6.03 new_esEs22(xx3001, xx4001, ty_Integer) -> new_esEs12(xx3001, xx4001) 16.09/6.03 new_esEs15(Left(xx3000), Left(xx4000), ty_Integer, da) -> new_esEs12(xx3000, xx4000) 16.09/6.03 new_primMulNat0(Succ(xx300100), Zero) -> Zero 16.09/6.03 new_primMulNat0(Zero, Succ(xx400000)) -> Zero 16.09/6.03 new_sr(Pos(xx30010), Pos(xx40000)) -> Pos(new_primMulNat0(xx30010, xx40000)) 16.09/6.03 new_esEs14(LT, LT) -> True 16.09/6.03 new_primPlusNat1(Succ(xx330), xx400000) -> Succ(Succ(new_primPlusNat0(xx330, xx400000))) 16.09/6.03 new_esEs20(xx3001, xx4001, ty_Double) -> new_esEs6(xx3001, xx4001) 16.09/6.03 new_esEs22(xx3001, xx4001, ty_Char) -> new_esEs13(xx3001, xx4001) 16.09/6.03 new_esEs14(LT, EQ) -> False 16.09/6.03 new_esEs14(EQ, LT) -> False 16.09/6.03 new_esEs22(xx3001, xx4001, ty_Ordering) -> new_esEs14(xx3001, xx4001) 16.09/6.03 new_esEs20(xx3001, xx4001, ty_@0) -> new_esEs9(xx3001, xx4001) 16.09/6.03 new_esEs21(xx3000, xx4000, ty_Integer) -> new_esEs12(xx3000, xx4000) 16.09/6.03 new_primPlusNat0(Succ(xx3300), Zero) -> Succ(xx3300) 16.09/6.03 new_primPlusNat0(Zero, Succ(xx4000000)) -> Succ(xx4000000) 16.09/6.03 new_primEqInt(Neg(Zero), Neg(Zero)) -> True 16.09/6.03 new_esEs17(False, False) -> True 16.09/6.03 new_primPlusNat1(Zero, xx400000) -> Succ(xx400000) 16.09/6.03 new_esEs15(Right(xx3000), Right(xx4000), cg, app(app(ty_Either, bdf), bdg)) -> new_esEs15(xx3000, xx4000, bdf, bdg) 16.09/6.03 new_esEs20(xx3001, xx4001, ty_Integer) -> new_esEs12(xx3001, xx4001) 16.09/6.03 new_esEs6(Double(xx3000, xx3001), Double(xx4000, xx4001)) -> new_esEs7(new_sr(xx3000, xx4001), new_sr(xx3001, xx4000)) 16.09/6.03 new_esEs19(xx3000, xx4000, app(ty_Maybe, eh)) -> new_esEs8(xx3000, xx4000, eh) 16.09/6.03 new_esEs22(xx3001, xx4001, app(app(ty_@2, bae), baf)) -> new_esEs18(xx3001, xx4001, bae, baf) 16.09/6.03 new_esEs24(xx3000, xx4000, ty_Int) -> new_esEs7(xx3000, xx4000) 16.09/6.03 new_esEs4(xx300, xx400, app(app(ty_@2, de), df)) -> new_esEs18(xx300, xx400, de, df) 16.09/6.03 new_primEqInt(Pos(Zero), Neg(Zero)) -> True 16.09/6.03 new_primEqInt(Neg(Zero), Pos(Zero)) -> True 16.09/6.03 new_esEs21(xx3000, xx4000, app(app(ty_@2, hc), hd)) -> new_esEs18(xx3000, xx4000, hc, hd) 16.09/6.03 new_esEs8(Just(xx3000), Just(xx4000), app(ty_Maybe, cd)) -> new_esEs8(xx3000, xx4000, cd) 16.09/6.03 new_esEs15(Left(xx3000), Left(xx4000), app(ty_[], bdd), da) -> new_esEs5(xx3000, xx4000, bdd) 16.09/6.03 new_esEs20(xx3001, xx4001, ty_Char) -> new_esEs13(xx3001, xx4001) 16.09/6.03 new_esEs15(Left(xx3000), Left(xx4000), ty_@0, da) -> new_esEs9(xx3000, xx4000) 16.09/6.03 new_esEs15(Right(xx3000), Right(xx4000), cg, app(ty_[], bef)) -> new_esEs5(xx3000, xx4000, bef) 16.09/6.03 new_esEs25(xx3001, xx4001, ty_Int) -> new_esEs7(xx3001, xx4001) 16.09/6.03 new_esEs5(:(xx3010, xx3011), [], bb) -> False 16.09/6.03 new_esEs5([], :(xx4010, xx4011), bb) -> False 16.09/6.03 new_primEqNat0(Zero, Zero) -> True 16.09/6.03 new_esEs16(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), db, dc, dd) -> new_asAs(new_esEs21(xx3000, xx4000, db), new_asAs(new_esEs22(xx3001, xx4001, dc), new_esEs23(xx3002, xx4002, dd))) 16.09/6.03 new_esEs21(xx3000, xx4000, app(ty_[], hf)) -> new_esEs5(xx3000, xx4000, hf) 16.09/6.03 new_asAs(False, xx32) -> False 16.09/6.03 new_esEs21(xx3000, xx4000, ty_Ordering) -> new_esEs14(xx3000, xx4000) 16.09/6.03 new_esEs21(xx3000, xx4000, ty_Char) -> new_esEs13(xx3000, xx4000) 16.09/6.03 new_esEs23(xx3002, xx4002, app(app(app(ty_@3, bbd), bbe), bbf)) -> new_esEs16(xx3002, xx4002, bbd, bbe, bbf) 16.09/6.03 new_esEs23(xx3002, xx4002, ty_Float) -> new_esEs11(xx3002, xx4002) 16.09/6.03 new_esEs26(xx3010, xx4010, app(ty_[], dg)) -> new_esEs5(xx3010, xx4010, dg) 16.09/6.03 new_esEs23(xx3002, xx4002, app(app(ty_Either, bbb), bbc)) -> new_esEs15(xx3002, xx4002, bbb, bbc) 16.09/6.03 new_esEs26(xx3010, xx4010, ty_Ordering) -> new_esEs14(xx3010, xx4010) 16.09/6.03 new_esEs26(xx3010, xx4010, ty_Char) -> new_esEs13(xx3010, xx4010) 16.09/6.03 new_esEs21(xx3000, xx4000, ty_@0) -> new_esEs9(xx3000, xx4000) 16.09/6.03 16.09/6.03 The set Q consists of the following terms: 16.09/6.03 16.09/6.03 new_esEs14(EQ, EQ) 16.09/6.03 new_esEs26(x0, x1, ty_Double) 16.09/6.03 new_primPlusNat0(Zero, Succ(x0)) 16.09/6.03 new_esEs4(x0, x1, ty_Ordering) 16.09/6.03 new_esEs20(x0, x1, ty_Double) 16.09/6.03 new_esEs26(x0, x1, ty_Float) 16.09/6.03 new_primPlusNat1(Zero, x0) 16.09/6.03 new_primEqInt(Neg(Succ(x0)), Neg(Zero)) 16.09/6.03 new_esEs23(x0, x1, ty_Ordering) 16.09/6.03 new_esEs8(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) 16.09/6.03 new_esEs23(x0, x1, ty_Int) 16.09/6.03 new_esEs22(x0, x1, ty_Double) 16.09/6.03 new_esEs19(x0, x1, app(ty_Ratio, x2)) 16.09/6.03 new_esEs26(x0, x1, ty_Ordering) 16.09/6.03 new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) 16.09/6.03 new_esEs15(Left(x0), Left(x1), ty_Float, x2) 16.09/6.03 new_esEs15(Left(x0), Left(x1), ty_Double, x2) 16.09/6.03 new_primMulNat0(Zero, Zero) 16.09/6.03 new_esEs13(Char(x0), Char(x1)) 16.09/6.03 new_esEs19(x0, x1, ty_Char) 16.09/6.03 new_esEs20(x0, x1, ty_Float) 16.09/6.03 new_esEs23(x0, x1, app(ty_[], x2)) 16.09/6.03 new_esEs24(x0, x1, ty_Integer) 16.09/6.03 new_esEs4(x0, x1, ty_Int) 16.09/6.03 new_esEs15(Right(x0), Right(x1), x2, ty_Integer) 16.09/6.03 new_primPlusNat0(Succ(x0), Succ(x1)) 16.09/6.03 new_primPlusNat0(Succ(x0), Zero) 16.09/6.03 new_esEs17(True, True) 16.09/6.03 new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) 16.09/6.03 new_esEs22(x0, x1, app(ty_Maybe, x2)) 16.09/6.03 new_esEs4(x0, x1, app(ty_Ratio, x2)) 16.09/6.03 new_primEqInt(Pos(Zero), Pos(Zero)) 16.09/6.03 new_esEs8(Just(x0), Just(x1), app(ty_Ratio, x2)) 16.09/6.03 new_esEs20(x0, x1, app(ty_Maybe, x2)) 16.09/6.03 new_esEs23(x0, x1, ty_Char) 16.09/6.03 new_esEs23(x0, x1, ty_Double) 16.09/6.03 new_esEs22(x0, x1, app(ty_Ratio, x2)) 16.09/6.03 new_esEs23(x0, x1, app(ty_Maybe, x2)) 16.09/6.03 new_esEs17(False, False) 16.09/6.03 new_esEs26(x0, x1, ty_Int) 16.09/6.03 new_esEs15(Right(x0), Right(x1), x2, ty_@0) 16.09/6.03 new_esEs26(x0, x1, app(ty_Ratio, x2)) 16.09/6.03 new_esEs20(x0, x1, ty_Ordering) 16.09/6.03 new_esEs5([], [], x0) 16.09/6.03 new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) 16.09/6.03 new_esEs19(x0, x1, ty_Bool) 16.09/6.03 new_esEs15(Left(x0), Left(x1), ty_Int, x2) 16.09/6.03 new_sr(Pos(x0), Neg(x1)) 16.09/6.03 new_sr(Neg(x0), Pos(x1)) 16.09/6.03 new_esEs4(x0, x1, ty_Char) 16.09/6.03 new_primEqInt(Pos(Succ(x0)), Pos(Zero)) 16.09/6.03 new_esEs12(Integer(x0), Integer(x1)) 16.09/6.03 new_esEs4(x0, x1, ty_Double) 16.09/6.03 new_primEqInt(Neg(Zero), Neg(Zero)) 16.09/6.03 new_esEs20(x0, x1, ty_Int) 16.09/6.03 new_esEs8(Just(x0), Just(x1), ty_Double) 16.09/6.03 new_esEs15(Left(x0), Left(x1), ty_Ordering, x2) 16.09/6.03 new_esEs15(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) 16.09/6.03 new_esEs26(x0, x1, ty_Char) 16.09/6.03 new_esEs15(Left(x0), Left(x1), app(ty_Maybe, x2), x3) 16.09/6.03 new_primPlusNat0(Zero, Zero) 16.09/6.03 new_esEs22(x0, x1, ty_Integer) 16.09/6.03 new_esEs15(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) 16.09/6.03 new_esEs15(Right(x0), Right(x1), x2, app(ty_[], x3)) 16.09/6.03 new_esEs20(x0, x1, app(ty_Ratio, x2)) 16.09/6.03 new_esEs19(x0, x1, app(ty_[], x2)) 16.09/6.03 new_esEs21(x0, x1, ty_Bool) 16.09/6.03 new_sr(Pos(x0), Pos(x1)) 16.09/6.03 new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.09/6.03 new_esEs21(x0, x1, ty_Float) 16.09/6.03 new_esEs25(x0, x1, ty_Integer) 16.09/6.03 new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) 16.09/6.03 new_esEs19(x0, x1, ty_Float) 16.09/6.03 new_esEs4(x0, x1, app(ty_[], x2)) 16.09/6.03 new_esEs14(EQ, GT) 16.09/6.03 new_esEs14(GT, EQ) 16.09/6.03 new_esEs8(Just(x0), Just(x1), ty_Bool) 16.09/6.03 new_esEs8(Just(x0), Just(x1), ty_Ordering) 16.09/6.03 new_esEs15(Right(x0), Right(x1), x2, ty_Float) 16.09/6.03 new_esEs19(x0, x1, ty_Double) 16.09/6.03 new_esEs21(x0, x1, ty_Double) 16.09/6.03 new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) 16.09/6.03 new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) 16.09/6.03 new_primEqInt(Pos(Zero), Neg(Zero)) 16.09/6.03 new_primEqInt(Neg(Zero), Pos(Zero)) 16.09/6.03 new_esEs23(x0, x1, ty_@0) 16.09/6.03 new_esEs17(False, True) 16.09/6.03 new_esEs17(True, False) 16.09/6.03 new_esEs4(x0, x1, ty_Integer) 16.09/6.03 new_esEs22(x0, x1, ty_Ordering) 16.09/6.03 new_esEs8(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) 16.09/6.03 new_esEs8(Just(x0), Just(x1), ty_Integer) 16.09/6.03 new_esEs21(x0, x1, ty_Int) 16.09/6.03 new_esEs15(Left(x0), Left(x1), app(ty_[], x2), x3) 16.09/6.03 new_esEs21(x0, x1, ty_@0) 16.09/6.03 new_asAs(False, x0) 16.09/6.03 new_esEs19(x0, x1, ty_Int) 16.09/6.03 new_esEs8(Nothing, Just(x0), x1) 16.09/6.03 new_esEs23(x0, x1, ty_Float) 16.09/6.03 new_esEs20(x0, x1, app(ty_[], x2)) 16.09/6.03 new_primMulNat0(Zero, Succ(x0)) 16.09/6.03 new_esEs20(x0, x1, app(app(ty_Either, x2), x3)) 16.09/6.03 new_esEs8(Just(x0), Just(x1), app(ty_[], x2)) 16.09/6.03 new_esEs24(x0, x1, ty_Int) 16.09/6.03 new_esEs19(x0, x1, ty_@0) 16.09/6.03 new_esEs8(Nothing, Nothing, x0) 16.09/6.03 new_esEs15(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) 16.09/6.03 new_esEs9(@0, @0) 16.09/6.03 new_esEs15(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) 16.09/6.03 new_esEs7(x0, x1) 16.09/6.03 new_esEs26(x0, x1, ty_@0) 16.09/6.03 new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) 16.09/6.03 new_esEs16(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) 16.09/6.03 new_primEqInt(Pos(Succ(x0)), Neg(x1)) 16.09/6.03 new_primEqInt(Neg(Succ(x0)), Pos(x1)) 16.09/6.03 new_esEs20(x0, x1, ty_@0) 16.09/6.03 new_primEqInt(Neg(Zero), Neg(Succ(x0))) 16.09/6.03 new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.09/6.03 new_esEs4(x0, x1, ty_Bool) 16.09/6.03 new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.09/6.03 new_esEs20(x0, x1, ty_Bool) 16.09/6.03 new_primEqNat0(Succ(x0), Succ(x1)) 16.09/6.03 new_esEs15(Left(x0), Left(x1), ty_Bool, x2) 16.09/6.03 new_esEs21(x0, x1, ty_Char) 16.09/6.03 new_esEs11(Float(x0, x1), Float(x2, x3)) 16.09/6.03 new_primEqInt(Pos(Zero), Pos(Succ(x0))) 16.09/6.03 new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) 16.09/6.03 new_esEs19(x0, x1, app(ty_Maybe, x2)) 16.09/6.03 new_esEs8(Just(x0), Nothing, x1) 16.09/6.03 new_esEs26(x0, x1, ty_Bool) 16.09/6.03 new_esEs4(x0, x1, ty_@0) 16.09/6.03 new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.09/6.03 new_esEs8(Just(x0), Just(x1), app(ty_Maybe, x2)) 16.09/6.03 new_esEs5([], :(x0, x1), x2) 16.09/6.03 new_esEs14(LT, EQ) 16.09/6.03 new_esEs14(EQ, LT) 16.09/6.03 new_esEs8(Just(x0), Just(x1), ty_@0) 16.09/6.03 new_esEs15(Left(x0), Left(x1), ty_Integer, x2) 16.09/6.03 new_esEs15(Right(x0), Right(x1), x2, ty_Ordering) 16.09/6.03 new_esEs6(Double(x0, x1), Double(x2, x3)) 16.09/6.03 new_esEs19(x0, x1, app(app(ty_@2, x2), x3)) 16.09/6.03 new_esEs23(x0, x1, app(ty_Ratio, x2)) 16.09/6.03 new_esEs15(Right(x0), Right(x1), x2, ty_Double) 16.09/6.03 new_esEs4(x0, x1, app(ty_Maybe, x2)) 16.09/6.03 new_primMulNat0(Succ(x0), Zero) 16.09/6.03 new_esEs15(Right(x0), Right(x1), x2, ty_Char) 16.09/6.03 new_esEs14(GT, GT) 16.09/6.03 new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) 16.09/6.03 new_esEs15(Left(x0), Left(x1), app(ty_Ratio, x2), x3) 16.09/6.03 new_asAs(True, x0) 16.09/6.03 new_primMulNat0(Succ(x0), Succ(x1)) 16.09/6.03 new_primEqInt(Pos(Zero), Neg(Succ(x0))) 16.09/6.03 new_primEqInt(Neg(Zero), Pos(Succ(x0))) 16.09/6.03 new_esEs14(LT, GT) 16.09/6.03 new_esEs14(GT, LT) 16.09/6.03 new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.09/6.03 new_esEs22(x0, x1, ty_Bool) 16.09/6.03 new_esEs10(:%(x0, x1), :%(x2, x3), x4) 16.09/6.03 new_esEs15(Left(x0), Left(x1), ty_@0, x2) 16.09/6.03 new_esEs15(Right(x0), Right(x1), x2, ty_Int) 16.09/6.03 new_primEqNat0(Zero, Succ(x0)) 16.09/6.03 new_esEs8(Just(x0), Just(x1), ty_Char) 16.09/6.03 new_esEs26(x0, x1, app(ty_Maybe, x2)) 16.09/6.03 new_primEqNat0(Succ(x0), Zero) 16.09/6.03 new_esEs23(x0, x1, ty_Bool) 16.09/6.03 new_esEs20(x0, x1, ty_Char) 16.09/6.03 new_primEqNat0(Zero, Zero) 16.09/6.03 new_esEs15(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) 16.09/6.03 new_esEs15(Left(x0), Right(x1), x2, x3) 16.09/6.03 new_esEs15(Right(x0), Left(x1), x2, x3) 16.09/6.03 new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) 16.09/6.03 new_esEs21(x0, x1, app(ty_Maybe, x2)) 16.09/6.03 new_esEs21(x0, x1, app(ty_Ratio, x2)) 16.09/6.03 new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.09/6.03 new_esEs22(x0, x1, ty_Int) 16.09/6.03 new_esEs26(x0, x1, ty_Integer) 16.09/6.03 new_esEs8(Just(x0), Just(x1), ty_Int) 16.09/6.03 new_esEs8(Just(x0), Just(x1), ty_Float) 16.09/6.03 new_esEs19(x0, x1, app(app(ty_Either, x2), x3)) 16.09/6.03 new_esEs18(@2(x0, x1), @2(x2, x3), x4, x5) 16.09/6.03 new_esEs15(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) 16.09/6.03 new_esEs20(x0, x1, ty_Integer) 16.09/6.03 new_esEs15(Left(x0), Left(x1), ty_Char, x2) 16.09/6.03 new_esEs14(LT, LT) 16.09/6.03 new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) 16.09/6.03 new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.09/6.03 new_esEs22(x0, x1, ty_Char) 16.09/6.03 new_esEs26(x0, x1, app(ty_[], x2)) 16.09/6.03 new_esEs21(x0, x1, app(ty_[], x2)) 16.09/6.03 new_esEs5(:(x0, x1), :(x2, x3), x4) 16.09/6.03 new_esEs15(Right(x0), Right(x1), x2, ty_Bool) 16.09/6.03 new_esEs21(x0, x1, ty_Integer) 16.09/6.03 new_esEs19(x0, x1, ty_Integer) 16.09/6.03 new_esEs15(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) 16.09/6.03 new_esEs8(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) 16.09/6.03 new_primPlusNat1(Succ(x0), x1) 16.09/6.03 new_esEs5(:(x0, x1), [], x2) 16.09/6.03 new_sr(Neg(x0), Neg(x1)) 16.09/6.03 new_esEs22(x0, x1, ty_Float) 16.09/6.03 new_esEs15(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) 16.09/6.03 new_esEs22(x0, x1, ty_@0) 16.09/6.03 new_esEs4(x0, x1, ty_Float) 16.09/6.03 new_esEs23(x0, x1, ty_Integer) 16.09/6.03 new_esEs25(x0, x1, ty_Int) 16.09/6.03 new_esEs20(x0, x1, app(app(ty_@2, x2), x3)) 16.09/6.03 new_esEs22(x0, x1, app(ty_[], x2)) 16.09/6.03 new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) 16.09/6.03 new_esEs21(x0, x1, ty_Ordering) 16.09/6.03 new_esEs19(x0, x1, ty_Ordering) 16.09/6.03 16.09/6.03 We have to consider all minimal (P,Q,R)-chains. 16.09/6.03 ---------------------------------------- 16.09/6.03 16.09/6.03 (14) DependencyGraphProof (EQUIVALENT) 16.09/6.03 The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 2 SCCs. 16.09/6.03 ---------------------------------------- 16.09/6.03 16.09/6.03 (15) 16.09/6.03 Complex Obligation (AND) 16.09/6.03 16.09/6.03 ---------------------------------------- 16.09/6.03 16.09/6.03 (16) 16.09/6.03 Obligation: 16.09/6.03 Q DP problem: 16.09/6.03 The TRS P consists of the following rules: 16.09/6.03 16.09/6.03 new_psPs0([], :(:(xx400, xx401), xx41), xx5, bb) -> new_psPs0([], xx41, xx5, bb) 16.09/6.03 16.09/6.03 The TRS R consists of the following rules: 16.09/6.03 16.09/6.03 new_esEs23(xx3002, xx4002, app(ty_Ratio, bba)) -> new_esEs10(xx3002, xx4002, bba) 16.09/6.03 new_esEs14(GT, GT) -> True 16.09/6.03 new_primEqInt(Pos(Zero), Pos(Zero)) -> True 16.09/6.03 new_esEs19(xx3000, xx4000, ty_Integer) -> new_esEs12(xx3000, xx4000) 16.09/6.03 new_primPlusNat0(Zero, Zero) -> Zero 16.09/6.03 new_esEs22(xx3001, xx4001, app(app(app(ty_@3, bab), bac), bad)) -> new_esEs16(xx3001, xx4001, bab, bac, bad) 16.09/6.03 new_esEs4(xx300, xx400, ty_Float) -> new_esEs11(xx300, xx400) 16.09/6.03 new_esEs8(Nothing, Nothing, bc) -> True 16.09/6.03 new_esEs15(Left(xx3000), Right(xx4000), cg, da) -> False 16.09/6.03 new_esEs15(Right(xx3000), Left(xx4000), cg, da) -> False 16.09/6.03 new_esEs22(xx3001, xx4001, app(app(ty_Either, hh), baa)) -> new_esEs15(xx3001, xx4001, hh, baa) 16.09/6.03 new_esEs23(xx3002, xx4002, ty_Char) -> new_esEs13(xx3002, xx4002) 16.09/6.03 new_esEs4(xx300, xx400, ty_Char) -> new_esEs13(xx300, xx400) 16.09/6.03 new_esEs15(Left(xx3000), Left(xx4000), ty_Ordering, da) -> new_esEs14(xx3000, xx4000) 16.09/6.03 new_esEs15(Right(xx3000), Right(xx4000), cg, app(app(ty_@2, bec), bed)) -> new_esEs18(xx3000, xx4000, bec, bed) 16.09/6.03 new_esEs8(Nothing, Just(xx4000), bc) -> False 16.09/6.03 new_esEs8(Just(xx3000), Nothing, bc) -> False 16.09/6.03 new_esEs25(xx3001, xx4001, ty_Integer) -> new_esEs12(xx3001, xx4001) 16.09/6.03 new_esEs20(xx3001, xx4001, ty_Bool) -> new_esEs17(xx3001, xx4001) 16.09/6.03 new_esEs14(EQ, EQ) -> True 16.09/6.03 new_esEs22(xx3001, xx4001, app(ty_Maybe, bag)) -> new_esEs8(xx3001, xx4001, bag) 16.09/6.03 new_esEs15(Right(xx3000), Right(xx4000), cg, app(app(app(ty_@3, bdh), bea), beb)) -> new_esEs16(xx3000, xx4000, bdh, bea, beb) 16.09/6.03 new_esEs26(xx3010, xx4010, ty_Double) -> new_esEs6(xx3010, xx4010) 16.09/6.03 new_primMulNat0(Succ(xx300100), Succ(xx400000)) -> new_primPlusNat1(new_primMulNat0(xx300100, Succ(xx400000)), xx400000) 16.09/6.03 new_esEs5([], [], bb) -> True 16.09/6.03 new_esEs14(EQ, GT) -> False 16.09/6.03 new_esEs14(GT, EQ) -> False 16.09/6.03 new_esEs23(xx3002, xx4002, ty_@0) -> new_esEs9(xx3002, xx4002) 16.09/6.03 new_esEs15(Right(xx3000), Right(xx4000), cg, ty_Ordering) -> new_esEs14(xx3000, xx4000) 16.09/6.04 new_esEs8(Just(xx3000), Just(xx4000), ty_@0) -> new_esEs9(xx3000, xx4000) 16.09/6.04 new_esEs20(xx3001, xx4001, app(ty_[], gd)) -> new_esEs5(xx3001, xx4001, gd) 16.09/6.04 new_esEs15(Right(xx3000), Right(xx4000), cg, ty_@0) -> new_esEs9(xx3000, xx4000) 16.09/6.04 new_asAs(True, xx32) -> xx32 16.09/6.04 new_esEs19(xx3000, xx4000, ty_Float) -> new_esEs11(xx3000, xx4000) 16.09/6.04 new_esEs4(xx300, xx400, ty_Integer) -> new_esEs12(xx300, xx400) 16.09/6.04 new_esEs26(xx3010, xx4010, app(app(ty_@2, de), df)) -> new_esEs18(xx3010, xx4010, de, df) 16.09/6.04 new_esEs21(xx3000, xx4000, ty_Int) -> new_esEs7(xx3000, xx4000) 16.09/6.04 new_esEs15(Left(xx3000), Left(xx4000), ty_Char, da) -> new_esEs13(xx3000, xx4000) 16.09/6.04 new_esEs17(False, True) -> False 16.09/6.04 new_esEs17(True, False) -> False 16.09/6.04 new_esEs15(Right(xx3000), Right(xx4000), cg, ty_Float) -> new_esEs11(xx3000, xx4000) 16.09/6.04 new_primEqInt(Pos(Succ(xx30000)), Pos(Zero)) -> False 16.09/6.04 new_primEqInt(Pos(Zero), Pos(Succ(xx40000))) -> False 16.09/6.04 new_esEs8(Just(xx3000), Just(xx4000), ty_Float) -> new_esEs11(xx3000, xx4000) 16.09/6.04 new_esEs19(xx3000, xx4000, ty_Char) -> new_esEs13(xx3000, xx4000) 16.09/6.04 new_esEs8(Just(xx3000), Just(xx4000), ty_Integer) -> new_esEs12(xx3000, xx4000) 16.09/6.04 new_esEs15(Left(xx3000), Left(xx4000), ty_Float, da) -> new_esEs11(xx3000, xx4000) 16.09/6.04 new_esEs4(xx300, xx400, app(ty_[], dg)) -> new_esEs5(xx300, xx400, dg) 16.09/6.04 new_esEs19(xx3000, xx4000, app(ty_[], fa)) -> new_esEs5(xx3000, xx4000, fa) 16.09/6.04 new_esEs15(Right(xx3000), Right(xx4000), cg, ty_Char) -> new_esEs13(xx3000, xx4000) 16.09/6.04 new_esEs8(Just(xx3000), Just(xx4000), ty_Char) -> new_esEs13(xx3000, xx4000) 16.09/6.04 new_primEqNat0(Succ(xx30000), Succ(xx40000)) -> new_primEqNat0(xx30000, xx40000) 16.09/6.04 new_esEs8(Just(xx3000), Just(xx4000), app(ty_Ratio, bd)) -> new_esEs10(xx3000, xx4000, bd) 16.09/6.04 new_esEs4(xx300, xx400, app(ty_Ratio, cf)) -> new_esEs10(xx300, xx400, cf) 16.09/6.04 new_esEs19(xx3000, xx4000, app(ty_Ratio, dh)) -> new_esEs10(xx3000, xx4000, dh) 16.09/6.04 new_esEs22(xx3001, xx4001, app(ty_[], bah)) -> new_esEs5(xx3001, xx4001, bah) 16.09/6.04 new_esEs20(xx3001, xx4001, app(ty_Maybe, gc)) -> new_esEs8(xx3001, xx4001, gc) 16.09/6.04 new_esEs8(Just(xx3000), Just(xx4000), ty_Bool) -> new_esEs17(xx3000, xx4000) 16.09/6.04 new_esEs9(@0, @0) -> True 16.09/6.04 new_esEs22(xx3001, xx4001, ty_Bool) -> new_esEs17(xx3001, xx4001) 16.09/6.04 new_esEs26(xx3010, xx4010, ty_Int) -> new_esEs7(xx3010, xx4010) 16.09/6.04 new_esEs4(xx300, xx400, ty_@0) -> new_esEs9(xx300, xx400) 16.09/6.04 new_esEs19(xx3000, xx4000, ty_@0) -> new_esEs9(xx3000, xx4000) 16.09/6.04 new_esEs8(Just(xx3000), Just(xx4000), app(ty_[], ce)) -> new_esEs5(xx3000, xx4000, ce) 16.09/6.04 new_esEs8(Just(xx3000), Just(xx4000), app(app(ty_Either, be), bf)) -> new_esEs15(xx3000, xx4000, be, bf) 16.09/6.04 new_esEs21(xx3000, xx4000, ty_Double) -> new_esEs6(xx3000, xx4000) 16.09/6.04 new_esEs23(xx3002, xx4002, app(app(ty_@2, bbg), bbh)) -> new_esEs18(xx3002, xx4002, bbg, bbh) 16.09/6.04 new_esEs23(xx3002, xx4002, ty_Int) -> new_esEs7(xx3002, xx4002) 16.09/6.04 new_primMulNat0(Zero, Zero) -> Zero 16.09/6.04 new_esEs19(xx3000, xx4000, app(app(app(ty_@3, ec), ed), ee)) -> new_esEs16(xx3000, xx4000, ec, ed, ee) 16.09/6.04 new_esEs23(xx3002, xx4002, app(ty_[], bcb)) -> new_esEs5(xx3002, xx4002, bcb) 16.09/6.04 new_esEs15(Left(xx3000), Left(xx4000), ty_Double, da) -> new_esEs6(xx3000, xx4000) 16.09/6.04 new_esEs8(Just(xx3000), Just(xx4000), app(app(app(ty_@3, bg), bh), ca)) -> new_esEs16(xx3000, xx4000, bg, bh, ca) 16.09/6.04 new_esEs20(xx3001, xx4001, ty_Float) -> new_esEs11(xx3001, xx4001) 16.09/6.04 new_esEs19(xx3000, xx4000, ty_Bool) -> new_esEs17(xx3000, xx4000) 16.09/6.04 new_esEs4(xx300, xx400, ty_Ordering) -> new_esEs14(xx300, xx400) 16.09/6.04 new_esEs15(Right(xx3000), Right(xx4000), cg, ty_Int) -> new_esEs7(xx3000, xx4000) 16.09/6.04 new_esEs26(xx3010, xx4010, app(app(ty_Either, cg), da)) -> new_esEs15(xx3010, xx4010, cg, da) 16.09/6.04 new_esEs15(Right(xx3000), Right(xx4000), cg, ty_Double) -> new_esEs6(xx3000, xx4000) 16.09/6.04 new_esEs15(Left(xx3000), Left(xx4000), app(app(ty_Either, bcd), bce), da) -> new_esEs15(xx3000, xx4000, bcd, bce) 16.09/6.04 new_esEs4(xx300, xx400, ty_Int) -> new_esEs7(xx300, xx400) 16.09/6.04 new_esEs15(Right(xx3000), Right(xx4000), cg, ty_Integer) -> new_esEs12(xx3000, xx4000) 16.09/6.04 new_primEqNat0(Succ(xx30000), Zero) -> False 16.09/6.04 new_primEqNat0(Zero, Succ(xx40000)) -> False 16.09/6.04 new_esEs26(xx3010, xx4010, app(ty_Maybe, bc)) -> new_esEs8(xx3010, xx4010, bc) 16.09/6.04 new_esEs11(Float(xx3000, xx3001), Float(xx4000, xx4001)) -> new_esEs7(new_sr(xx3000, xx4001), new_sr(xx3001, xx4000)) 16.09/6.04 new_esEs12(Integer(xx3000), Integer(xx4000)) -> new_primEqInt(xx3000, xx4000) 16.09/6.04 new_esEs21(xx3000, xx4000, ty_Float) -> new_esEs11(xx3000, xx4000) 16.09/6.04 new_esEs10(:%(xx3000, xx3001), :%(xx4000, xx4001), cf) -> new_asAs(new_esEs24(xx3000, xx4000, cf), new_esEs25(xx3001, xx4001, cf)) 16.09/6.04 new_esEs19(xx3000, xx4000, app(app(ty_Either, ea), eb)) -> new_esEs15(xx3000, xx4000, ea, eb) 16.09/6.04 new_esEs22(xx3001, xx4001, ty_Double) -> new_esEs6(xx3001, xx4001) 16.09/6.04 new_esEs15(Left(xx3000), Left(xx4000), ty_Int, da) -> new_esEs7(xx3000, xx4000) 16.09/6.04 new_esEs15(Right(xx3000), Right(xx4000), cg, app(ty_Maybe, bee)) -> new_esEs8(xx3000, xx4000, bee) 16.09/6.04 new_esEs20(xx3001, xx4001, app(app(ty_Either, fc), fd)) -> new_esEs15(xx3001, xx4001, fc, fd) 16.09/6.04 new_esEs26(xx3010, xx4010, ty_Float) -> new_esEs11(xx3010, xx4010) 16.09/6.04 new_esEs23(xx3002, xx4002, ty_Integer) -> new_esEs12(xx3002, xx4002) 16.09/6.04 new_esEs20(xx3001, xx4001, app(app(app(ty_@3, ff), fg), fh)) -> new_esEs16(xx3001, xx4001, ff, fg, fh) 16.09/6.04 new_esEs21(xx3000, xx4000, app(ty_Maybe, he)) -> new_esEs8(xx3000, xx4000, he) 16.09/6.04 new_esEs26(xx3010, xx4010, app(ty_Ratio, cf)) -> new_esEs10(xx3010, xx4010, cf) 16.09/6.04 new_primEqInt(Neg(Succ(xx30000)), Neg(Zero)) -> False 16.09/6.04 new_primEqInt(Neg(Zero), Neg(Succ(xx40000))) -> False 16.09/6.04 new_primEqInt(Pos(Succ(xx30000)), Pos(Succ(xx40000))) -> new_primEqNat0(xx30000, xx40000) 16.09/6.04 new_esEs23(xx3002, xx4002, ty_Ordering) -> new_esEs14(xx3002, xx4002) 16.09/6.04 new_esEs7(xx300, xx400) -> new_primEqInt(xx300, xx400) 16.09/6.04 new_sr(Pos(xx30010), Neg(xx40000)) -> Neg(new_primMulNat0(xx30010, xx40000)) 16.09/6.04 new_sr(Neg(xx30010), Pos(xx40000)) -> Neg(new_primMulNat0(xx30010, xx40000)) 16.09/6.04 new_primEqInt(Pos(Succ(xx30000)), Neg(xx4000)) -> False 16.09/6.04 new_primEqInt(Neg(Succ(xx30000)), Pos(xx4000)) -> False 16.09/6.04 new_esEs22(xx3001, xx4001, ty_Int) -> new_esEs7(xx3001, xx4001) 16.09/6.04 new_esEs15(Right(xx3000), Right(xx4000), cg, app(ty_Ratio, bde)) -> new_esEs10(xx3000, xx4000, bde) 16.09/6.04 new_esEs26(xx3010, xx4010, ty_Bool) -> new_esEs17(xx3010, xx4010) 16.09/6.04 new_esEs26(xx3010, xx4010, app(app(app(ty_@3, db), dc), dd)) -> new_esEs16(xx3010, xx4010, db, dc, dd) 16.09/6.04 new_esEs21(xx3000, xx4000, app(ty_Ratio, ge)) -> new_esEs10(xx3000, xx4000, ge) 16.09/6.04 new_esEs18(@2(xx3000, xx3001), @2(xx4000, xx4001), de, df) -> new_asAs(new_esEs19(xx3000, xx4000, de), new_esEs20(xx3001, xx4001, df)) 16.09/6.04 new_esEs15(Left(xx3000), Left(xx4000), app(ty_Maybe, bdc), da) -> new_esEs8(xx3000, xx4000, bdc) 16.09/6.04 new_esEs17(True, True) -> True 16.09/6.04 new_esEs23(xx3002, xx4002, app(ty_Maybe, bca)) -> new_esEs8(xx3002, xx4002, bca) 16.09/6.04 new_esEs26(xx3010, xx4010, ty_Integer) -> new_esEs12(xx3010, xx4010) 16.09/6.04 new_esEs15(Right(xx3000), Right(xx4000), cg, ty_Bool) -> new_esEs17(xx3000, xx4000) 16.09/6.04 new_esEs13(Char(xx3000), Char(xx4000)) -> new_primEqNat0(xx3000, xx4000) 16.09/6.04 new_esEs15(Left(xx3000), Left(xx4000), app(app(app(ty_@3, bcf), bcg), bch), da) -> new_esEs16(xx3000, xx4000, bcf, bcg, bch) 16.09/6.04 new_esEs8(Just(xx3000), Just(xx4000), ty_Int) -> new_esEs7(xx3000, xx4000) 16.09/6.04 new_esEs15(Left(xx3000), Left(xx4000), app(app(ty_@2, bda), bdb), da) -> new_esEs18(xx3000, xx4000, bda, bdb) 16.09/6.04 new_sr(Neg(xx30010), Neg(xx40000)) -> Pos(new_primMulNat0(xx30010, xx40000)) 16.09/6.04 new_esEs21(xx3000, xx4000, ty_Bool) -> new_esEs17(xx3000, xx4000) 16.09/6.04 new_esEs19(xx3000, xx4000, ty_Double) -> new_esEs6(xx3000, xx4000) 16.09/6.04 new_esEs15(Left(xx3000), Left(xx4000), app(ty_Ratio, bcc), da) -> new_esEs10(xx3000, xx4000, bcc) 16.09/6.04 new_esEs26(xx3010, xx4010, ty_@0) -> new_esEs9(xx3010, xx4010) 16.09/6.04 new_esEs19(xx3000, xx4000, ty_Int) -> new_esEs7(xx3000, xx4000) 16.09/6.04 new_esEs15(Left(xx3000), Left(xx4000), ty_Bool, da) -> new_esEs17(xx3000, xx4000) 16.09/6.04 new_esEs8(Just(xx3000), Just(xx4000), ty_Double) -> new_esEs6(xx3000, xx4000) 16.09/6.04 new_esEs23(xx3002, xx4002, ty_Bool) -> new_esEs17(xx3002, xx4002) 16.09/6.04 new_esEs21(xx3000, xx4000, app(app(ty_Either, gf), gg)) -> new_esEs15(xx3000, xx4000, gf, gg) 16.09/6.04 new_esEs21(xx3000, xx4000, app(app(app(ty_@3, gh), ha), hb)) -> new_esEs16(xx3000, xx4000, gh, ha, hb) 16.09/6.04 new_esEs4(xx300, xx400, app(ty_Maybe, bc)) -> new_esEs8(xx300, xx400, bc) 16.09/6.04 new_esEs8(Just(xx3000), Just(xx4000), app(app(ty_@2, cb), cc)) -> new_esEs18(xx3000, xx4000, cb, cc) 16.09/6.04 new_primEqInt(Pos(Zero), Neg(Succ(xx40000))) -> False 16.09/6.04 new_primEqInt(Neg(Zero), Pos(Succ(xx40000))) -> False 16.09/6.04 new_esEs19(xx3000, xx4000, app(app(ty_@2, ef), eg)) -> new_esEs18(xx3000, xx4000, ef, eg) 16.09/6.04 new_esEs20(xx3001, xx4001, ty_Ordering) -> new_esEs14(xx3001, xx4001) 16.09/6.04 new_primPlusNat0(Succ(xx3300), Succ(xx4000000)) -> Succ(Succ(new_primPlusNat0(xx3300, xx4000000))) 16.09/6.04 new_esEs4(xx300, xx400, app(app(ty_Either, cg), da)) -> new_esEs15(xx300, xx400, cg, da) 16.09/6.04 new_esEs8(Just(xx3000), Just(xx4000), ty_Ordering) -> new_esEs14(xx3000, xx4000) 16.09/6.04 new_esEs20(xx3001, xx4001, ty_Int) -> new_esEs7(xx3001, xx4001) 16.09/6.04 new_esEs5(:(xx3010, xx3011), :(xx4010, xx4011), bb) -> new_asAs(new_esEs26(xx3010, xx4010, bb), new_esEs5(xx3011, xx4011, bb)) 16.09/6.04 new_esEs22(xx3001, xx4001, ty_Float) -> new_esEs11(xx3001, xx4001) 16.09/6.04 new_primEqInt(Neg(Succ(xx30000)), Neg(Succ(xx40000))) -> new_primEqNat0(xx30000, xx40000) 16.09/6.04 new_esEs24(xx3000, xx4000, ty_Integer) -> new_esEs12(xx3000, xx4000) 16.09/6.04 new_esEs20(xx3001, xx4001, app(ty_Ratio, fb)) -> new_esEs10(xx3001, xx4001, fb) 16.09/6.04 new_esEs20(xx3001, xx4001, app(app(ty_@2, ga), gb)) -> new_esEs18(xx3001, xx4001, ga, gb) 16.09/6.04 new_esEs4(xx300, xx400, app(app(app(ty_@3, db), dc), dd)) -> new_esEs16(xx300, xx400, db, dc, dd) 16.09/6.04 new_esEs4(xx300, xx400, ty_Bool) -> new_esEs17(xx300, xx400) 16.09/6.04 new_esEs23(xx3002, xx4002, ty_Double) -> new_esEs6(xx3002, xx4002) 16.09/6.04 new_esEs4(xx300, xx400, ty_Double) -> new_esEs6(xx300, xx400) 16.09/6.04 new_esEs19(xx3000, xx4000, ty_Ordering) -> new_esEs14(xx3000, xx4000) 16.09/6.04 new_esEs22(xx3001, xx4001, ty_@0) -> new_esEs9(xx3001, xx4001) 16.09/6.04 new_esEs22(xx3001, xx4001, app(ty_Ratio, hg)) -> new_esEs10(xx3001, xx4001, hg) 16.09/6.04 new_esEs14(LT, GT) -> False 16.09/6.04 new_esEs14(GT, LT) -> False 16.09/6.04 new_esEs22(xx3001, xx4001, ty_Integer) -> new_esEs12(xx3001, xx4001) 16.09/6.04 new_esEs15(Left(xx3000), Left(xx4000), ty_Integer, da) -> new_esEs12(xx3000, xx4000) 16.09/6.04 new_primMulNat0(Succ(xx300100), Zero) -> Zero 16.09/6.04 new_primMulNat0(Zero, Succ(xx400000)) -> Zero 16.09/6.04 new_sr(Pos(xx30010), Pos(xx40000)) -> Pos(new_primMulNat0(xx30010, xx40000)) 16.09/6.04 new_esEs14(LT, LT) -> True 16.09/6.04 new_primPlusNat1(Succ(xx330), xx400000) -> Succ(Succ(new_primPlusNat0(xx330, xx400000))) 16.09/6.04 new_esEs20(xx3001, xx4001, ty_Double) -> new_esEs6(xx3001, xx4001) 16.09/6.04 new_esEs22(xx3001, xx4001, ty_Char) -> new_esEs13(xx3001, xx4001) 16.09/6.04 new_esEs14(LT, EQ) -> False 16.09/6.04 new_esEs14(EQ, LT) -> False 16.09/6.04 new_esEs22(xx3001, xx4001, ty_Ordering) -> new_esEs14(xx3001, xx4001) 16.09/6.04 new_esEs20(xx3001, xx4001, ty_@0) -> new_esEs9(xx3001, xx4001) 16.09/6.04 new_esEs21(xx3000, xx4000, ty_Integer) -> new_esEs12(xx3000, xx4000) 16.09/6.04 new_primPlusNat0(Succ(xx3300), Zero) -> Succ(xx3300) 16.09/6.04 new_primPlusNat0(Zero, Succ(xx4000000)) -> Succ(xx4000000) 16.09/6.04 new_primEqInt(Neg(Zero), Neg(Zero)) -> True 16.09/6.04 new_esEs17(False, False) -> True 16.09/6.04 new_primPlusNat1(Zero, xx400000) -> Succ(xx400000) 16.09/6.04 new_esEs15(Right(xx3000), Right(xx4000), cg, app(app(ty_Either, bdf), bdg)) -> new_esEs15(xx3000, xx4000, bdf, bdg) 16.09/6.04 new_esEs20(xx3001, xx4001, ty_Integer) -> new_esEs12(xx3001, xx4001) 16.09/6.04 new_esEs6(Double(xx3000, xx3001), Double(xx4000, xx4001)) -> new_esEs7(new_sr(xx3000, xx4001), new_sr(xx3001, xx4000)) 16.09/6.04 new_esEs19(xx3000, xx4000, app(ty_Maybe, eh)) -> new_esEs8(xx3000, xx4000, eh) 16.09/6.04 new_esEs22(xx3001, xx4001, app(app(ty_@2, bae), baf)) -> new_esEs18(xx3001, xx4001, bae, baf) 16.09/6.04 new_esEs24(xx3000, xx4000, ty_Int) -> new_esEs7(xx3000, xx4000) 16.09/6.04 new_esEs4(xx300, xx400, app(app(ty_@2, de), df)) -> new_esEs18(xx300, xx400, de, df) 16.09/6.04 new_primEqInt(Pos(Zero), Neg(Zero)) -> True 16.09/6.04 new_primEqInt(Neg(Zero), Pos(Zero)) -> True 16.09/6.04 new_esEs21(xx3000, xx4000, app(app(ty_@2, hc), hd)) -> new_esEs18(xx3000, xx4000, hc, hd) 16.09/6.04 new_esEs8(Just(xx3000), Just(xx4000), app(ty_Maybe, cd)) -> new_esEs8(xx3000, xx4000, cd) 16.09/6.04 new_esEs15(Left(xx3000), Left(xx4000), app(ty_[], bdd), da) -> new_esEs5(xx3000, xx4000, bdd) 16.09/6.04 new_esEs20(xx3001, xx4001, ty_Char) -> new_esEs13(xx3001, xx4001) 16.09/6.04 new_esEs15(Left(xx3000), Left(xx4000), ty_@0, da) -> new_esEs9(xx3000, xx4000) 16.09/6.04 new_esEs15(Right(xx3000), Right(xx4000), cg, app(ty_[], bef)) -> new_esEs5(xx3000, xx4000, bef) 16.09/6.04 new_esEs25(xx3001, xx4001, ty_Int) -> new_esEs7(xx3001, xx4001) 16.09/6.04 new_esEs5(:(xx3010, xx3011), [], bb) -> False 16.09/6.04 new_esEs5([], :(xx4010, xx4011), bb) -> False 16.09/6.04 new_primEqNat0(Zero, Zero) -> True 16.09/6.04 new_esEs16(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), db, dc, dd) -> new_asAs(new_esEs21(xx3000, xx4000, db), new_asAs(new_esEs22(xx3001, xx4001, dc), new_esEs23(xx3002, xx4002, dd))) 16.09/6.04 new_esEs21(xx3000, xx4000, app(ty_[], hf)) -> new_esEs5(xx3000, xx4000, hf) 16.09/6.04 new_asAs(False, xx32) -> False 16.09/6.04 new_esEs21(xx3000, xx4000, ty_Ordering) -> new_esEs14(xx3000, xx4000) 16.09/6.04 new_esEs21(xx3000, xx4000, ty_Char) -> new_esEs13(xx3000, xx4000) 16.09/6.04 new_esEs23(xx3002, xx4002, app(app(app(ty_@3, bbd), bbe), bbf)) -> new_esEs16(xx3002, xx4002, bbd, bbe, bbf) 16.09/6.04 new_esEs23(xx3002, xx4002, ty_Float) -> new_esEs11(xx3002, xx4002) 16.09/6.04 new_esEs26(xx3010, xx4010, app(ty_[], dg)) -> new_esEs5(xx3010, xx4010, dg) 16.09/6.04 new_esEs23(xx3002, xx4002, app(app(ty_Either, bbb), bbc)) -> new_esEs15(xx3002, xx4002, bbb, bbc) 16.09/6.04 new_esEs26(xx3010, xx4010, ty_Ordering) -> new_esEs14(xx3010, xx4010) 16.09/6.04 new_esEs26(xx3010, xx4010, ty_Char) -> new_esEs13(xx3010, xx4010) 16.09/6.04 new_esEs21(xx3000, xx4000, ty_@0) -> new_esEs9(xx3000, xx4000) 16.09/6.04 16.09/6.04 The set Q consists of the following terms: 16.09/6.04 16.09/6.04 new_esEs14(EQ, EQ) 16.09/6.04 new_esEs26(x0, x1, ty_Double) 16.09/6.04 new_primPlusNat0(Zero, Succ(x0)) 16.09/6.04 new_esEs4(x0, x1, ty_Ordering) 16.09/6.04 new_esEs20(x0, x1, ty_Double) 16.09/6.04 new_esEs26(x0, x1, ty_Float) 16.09/6.04 new_primPlusNat1(Zero, x0) 16.09/6.04 new_primEqInt(Neg(Succ(x0)), Neg(Zero)) 16.09/6.04 new_esEs23(x0, x1, ty_Ordering) 16.09/6.04 new_esEs8(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) 16.09/6.04 new_esEs23(x0, x1, ty_Int) 16.09/6.04 new_esEs22(x0, x1, ty_Double) 16.09/6.04 new_esEs19(x0, x1, app(ty_Ratio, x2)) 16.09/6.04 new_esEs26(x0, x1, ty_Ordering) 16.09/6.04 new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) 16.09/6.04 new_esEs15(Left(x0), Left(x1), ty_Float, x2) 16.09/6.04 new_esEs15(Left(x0), Left(x1), ty_Double, x2) 16.09/6.04 new_primMulNat0(Zero, Zero) 16.09/6.04 new_esEs13(Char(x0), Char(x1)) 16.09/6.04 new_esEs19(x0, x1, ty_Char) 16.09/6.04 new_esEs20(x0, x1, ty_Float) 16.09/6.04 new_esEs23(x0, x1, app(ty_[], x2)) 16.09/6.04 new_esEs24(x0, x1, ty_Integer) 16.09/6.04 new_esEs4(x0, x1, ty_Int) 16.09/6.04 new_esEs15(Right(x0), Right(x1), x2, ty_Integer) 16.09/6.04 new_primPlusNat0(Succ(x0), Succ(x1)) 16.09/6.04 new_primPlusNat0(Succ(x0), Zero) 16.09/6.04 new_esEs17(True, True) 16.09/6.04 new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) 16.09/6.04 new_esEs22(x0, x1, app(ty_Maybe, x2)) 16.09/6.04 new_esEs4(x0, x1, app(ty_Ratio, x2)) 16.09/6.04 new_primEqInt(Pos(Zero), Pos(Zero)) 16.09/6.04 new_esEs8(Just(x0), Just(x1), app(ty_Ratio, x2)) 16.09/6.04 new_esEs20(x0, x1, app(ty_Maybe, x2)) 16.09/6.04 new_esEs23(x0, x1, ty_Char) 16.09/6.04 new_esEs23(x0, x1, ty_Double) 16.09/6.04 new_esEs22(x0, x1, app(ty_Ratio, x2)) 16.09/6.04 new_esEs23(x0, x1, app(ty_Maybe, x2)) 16.09/6.04 new_esEs17(False, False) 16.09/6.04 new_esEs26(x0, x1, ty_Int) 16.09/6.04 new_esEs15(Right(x0), Right(x1), x2, ty_@0) 16.09/6.04 new_esEs26(x0, x1, app(ty_Ratio, x2)) 16.09/6.04 new_esEs20(x0, x1, ty_Ordering) 16.09/6.04 new_esEs5([], [], x0) 16.09/6.04 new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) 16.09/6.04 new_esEs19(x0, x1, ty_Bool) 16.09/6.04 new_esEs15(Left(x0), Left(x1), ty_Int, x2) 16.09/6.04 new_sr(Pos(x0), Neg(x1)) 16.09/6.04 new_sr(Neg(x0), Pos(x1)) 16.09/6.04 new_esEs4(x0, x1, ty_Char) 16.09/6.04 new_primEqInt(Pos(Succ(x0)), Pos(Zero)) 16.09/6.04 new_esEs12(Integer(x0), Integer(x1)) 16.09/6.04 new_esEs4(x0, x1, ty_Double) 16.09/6.04 new_primEqInt(Neg(Zero), Neg(Zero)) 16.09/6.04 new_esEs20(x0, x1, ty_Int) 16.09/6.04 new_esEs8(Just(x0), Just(x1), ty_Double) 16.09/6.04 new_esEs15(Left(x0), Left(x1), ty_Ordering, x2) 16.09/6.04 new_esEs15(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) 16.09/6.04 new_esEs26(x0, x1, ty_Char) 16.09/6.04 new_esEs15(Left(x0), Left(x1), app(ty_Maybe, x2), x3) 16.09/6.04 new_primPlusNat0(Zero, Zero) 16.09/6.04 new_esEs22(x0, x1, ty_Integer) 16.09/6.04 new_esEs15(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) 16.09/6.04 new_esEs15(Right(x0), Right(x1), x2, app(ty_[], x3)) 16.09/6.04 new_esEs20(x0, x1, app(ty_Ratio, x2)) 16.09/6.04 new_esEs19(x0, x1, app(ty_[], x2)) 16.09/6.04 new_esEs21(x0, x1, ty_Bool) 16.09/6.04 new_sr(Pos(x0), Pos(x1)) 16.09/6.04 new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.09/6.04 new_esEs21(x0, x1, ty_Float) 16.09/6.04 new_esEs25(x0, x1, ty_Integer) 16.09/6.04 new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) 16.09/6.04 new_esEs19(x0, x1, ty_Float) 16.09/6.04 new_esEs4(x0, x1, app(ty_[], x2)) 16.09/6.04 new_esEs14(EQ, GT) 16.09/6.04 new_esEs14(GT, EQ) 16.09/6.04 new_esEs8(Just(x0), Just(x1), ty_Bool) 16.09/6.04 new_esEs8(Just(x0), Just(x1), ty_Ordering) 16.09/6.04 new_esEs15(Right(x0), Right(x1), x2, ty_Float) 16.09/6.04 new_esEs19(x0, x1, ty_Double) 16.09/6.04 new_esEs21(x0, x1, ty_Double) 16.09/6.04 new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) 16.09/6.04 new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) 16.09/6.04 new_primEqInt(Pos(Zero), Neg(Zero)) 16.09/6.04 new_primEqInt(Neg(Zero), Pos(Zero)) 16.09/6.04 new_esEs23(x0, x1, ty_@0) 16.09/6.04 new_esEs17(False, True) 16.09/6.04 new_esEs17(True, False) 16.09/6.04 new_esEs4(x0, x1, ty_Integer) 16.09/6.04 new_esEs22(x0, x1, ty_Ordering) 16.09/6.04 new_esEs8(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) 16.09/6.04 new_esEs8(Just(x0), Just(x1), ty_Integer) 16.09/6.04 new_esEs21(x0, x1, ty_Int) 16.09/6.04 new_esEs15(Left(x0), Left(x1), app(ty_[], x2), x3) 16.09/6.04 new_esEs21(x0, x1, ty_@0) 16.09/6.04 new_asAs(False, x0) 16.09/6.04 new_esEs19(x0, x1, ty_Int) 16.09/6.04 new_esEs8(Nothing, Just(x0), x1) 16.09/6.04 new_esEs23(x0, x1, ty_Float) 16.09/6.04 new_esEs20(x0, x1, app(ty_[], x2)) 16.09/6.04 new_primMulNat0(Zero, Succ(x0)) 16.09/6.04 new_esEs20(x0, x1, app(app(ty_Either, x2), x3)) 16.09/6.04 new_esEs8(Just(x0), Just(x1), app(ty_[], x2)) 16.09/6.04 new_esEs24(x0, x1, ty_Int) 16.09/6.04 new_esEs19(x0, x1, ty_@0) 16.09/6.04 new_esEs8(Nothing, Nothing, x0) 16.09/6.04 new_esEs15(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) 16.09/6.04 new_esEs9(@0, @0) 16.09/6.04 new_esEs15(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) 16.09/6.04 new_esEs7(x0, x1) 16.09/6.04 new_esEs26(x0, x1, ty_@0) 16.09/6.04 new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) 16.09/6.04 new_esEs16(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) 16.09/6.04 new_primEqInt(Pos(Succ(x0)), Neg(x1)) 16.09/6.04 new_primEqInt(Neg(Succ(x0)), Pos(x1)) 16.09/6.04 new_esEs20(x0, x1, ty_@0) 16.09/6.04 new_primEqInt(Neg(Zero), Neg(Succ(x0))) 16.09/6.04 new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.09/6.04 new_esEs4(x0, x1, ty_Bool) 16.09/6.04 new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.09/6.04 new_esEs20(x0, x1, ty_Bool) 16.09/6.04 new_primEqNat0(Succ(x0), Succ(x1)) 16.09/6.04 new_esEs15(Left(x0), Left(x1), ty_Bool, x2) 16.09/6.04 new_esEs21(x0, x1, ty_Char) 16.09/6.04 new_esEs11(Float(x0, x1), Float(x2, x3)) 16.09/6.04 new_primEqInt(Pos(Zero), Pos(Succ(x0))) 16.09/6.04 new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) 16.09/6.04 new_esEs19(x0, x1, app(ty_Maybe, x2)) 16.09/6.04 new_esEs8(Just(x0), Nothing, x1) 16.09/6.04 new_esEs26(x0, x1, ty_Bool) 16.09/6.04 new_esEs4(x0, x1, ty_@0) 16.09/6.04 new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.09/6.04 new_esEs8(Just(x0), Just(x1), app(ty_Maybe, x2)) 16.09/6.04 new_esEs5([], :(x0, x1), x2) 16.09/6.04 new_esEs14(LT, EQ) 16.09/6.04 new_esEs14(EQ, LT) 16.09/6.04 new_esEs8(Just(x0), Just(x1), ty_@0) 16.09/6.04 new_esEs15(Left(x0), Left(x1), ty_Integer, x2) 16.09/6.04 new_esEs15(Right(x0), Right(x1), x2, ty_Ordering) 16.09/6.04 new_esEs6(Double(x0, x1), Double(x2, x3)) 16.09/6.04 new_esEs19(x0, x1, app(app(ty_@2, x2), x3)) 16.09/6.04 new_esEs23(x0, x1, app(ty_Ratio, x2)) 16.09/6.04 new_esEs15(Right(x0), Right(x1), x2, ty_Double) 16.09/6.04 new_esEs4(x0, x1, app(ty_Maybe, x2)) 16.09/6.04 new_primMulNat0(Succ(x0), Zero) 16.09/6.04 new_esEs15(Right(x0), Right(x1), x2, ty_Char) 16.09/6.04 new_esEs14(GT, GT) 16.09/6.04 new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) 16.09/6.04 new_esEs15(Left(x0), Left(x1), app(ty_Ratio, x2), x3) 16.09/6.04 new_asAs(True, x0) 16.09/6.04 new_primMulNat0(Succ(x0), Succ(x1)) 16.09/6.04 new_primEqInt(Pos(Zero), Neg(Succ(x0))) 16.09/6.04 new_primEqInt(Neg(Zero), Pos(Succ(x0))) 16.09/6.04 new_esEs14(LT, GT) 16.09/6.04 new_esEs14(GT, LT) 16.09/6.04 new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.09/6.04 new_esEs22(x0, x1, ty_Bool) 16.09/6.04 new_esEs10(:%(x0, x1), :%(x2, x3), x4) 16.09/6.04 new_esEs15(Left(x0), Left(x1), ty_@0, x2) 16.09/6.04 new_esEs15(Right(x0), Right(x1), x2, ty_Int) 16.09/6.04 new_primEqNat0(Zero, Succ(x0)) 16.09/6.04 new_esEs8(Just(x0), Just(x1), ty_Char) 16.09/6.04 new_esEs26(x0, x1, app(ty_Maybe, x2)) 16.09/6.04 new_primEqNat0(Succ(x0), Zero) 16.09/6.04 new_esEs23(x0, x1, ty_Bool) 16.09/6.04 new_esEs20(x0, x1, ty_Char) 16.09/6.04 new_primEqNat0(Zero, Zero) 16.09/6.04 new_esEs15(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) 16.09/6.04 new_esEs15(Left(x0), Right(x1), x2, x3) 16.09/6.04 new_esEs15(Right(x0), Left(x1), x2, x3) 16.09/6.04 new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) 16.09/6.04 new_esEs21(x0, x1, app(ty_Maybe, x2)) 16.09/6.04 new_esEs21(x0, x1, app(ty_Ratio, x2)) 16.09/6.04 new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.09/6.04 new_esEs22(x0, x1, ty_Int) 16.09/6.04 new_esEs26(x0, x1, ty_Integer) 16.09/6.04 new_esEs8(Just(x0), Just(x1), ty_Int) 16.09/6.04 new_esEs8(Just(x0), Just(x1), ty_Float) 16.09/6.04 new_esEs19(x0, x1, app(app(ty_Either, x2), x3)) 16.09/6.04 new_esEs18(@2(x0, x1), @2(x2, x3), x4, x5) 16.09/6.04 new_esEs15(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) 16.09/6.04 new_esEs20(x0, x1, ty_Integer) 16.09/6.04 new_esEs15(Left(x0), Left(x1), ty_Char, x2) 16.09/6.04 new_esEs14(LT, LT) 16.09/6.04 new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) 16.09/6.04 new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.09/6.04 new_esEs22(x0, x1, ty_Char) 16.09/6.04 new_esEs26(x0, x1, app(ty_[], x2)) 16.09/6.04 new_esEs21(x0, x1, app(ty_[], x2)) 16.09/6.04 new_esEs5(:(x0, x1), :(x2, x3), x4) 16.09/6.04 new_esEs15(Right(x0), Right(x1), x2, ty_Bool) 16.09/6.04 new_esEs21(x0, x1, ty_Integer) 16.09/6.04 new_esEs19(x0, x1, ty_Integer) 16.09/6.04 new_esEs15(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) 16.09/6.04 new_esEs8(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) 16.09/6.04 new_primPlusNat1(Succ(x0), x1) 16.09/6.04 new_esEs5(:(x0, x1), [], x2) 16.09/6.04 new_sr(Neg(x0), Neg(x1)) 16.09/6.04 new_esEs22(x0, x1, ty_Float) 16.09/6.04 new_esEs15(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) 16.09/6.04 new_esEs22(x0, x1, ty_@0) 16.09/6.04 new_esEs4(x0, x1, ty_Float) 16.09/6.04 new_esEs23(x0, x1, ty_Integer) 16.09/6.04 new_esEs25(x0, x1, ty_Int) 16.09/6.04 new_esEs20(x0, x1, app(app(ty_@2, x2), x3)) 16.09/6.04 new_esEs22(x0, x1, app(ty_[], x2)) 16.09/6.04 new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) 16.09/6.04 new_esEs21(x0, x1, ty_Ordering) 16.09/6.04 new_esEs19(x0, x1, ty_Ordering) 16.09/6.04 16.09/6.04 We have to consider all minimal (P,Q,R)-chains. 16.09/6.04 ---------------------------------------- 16.09/6.04 16.09/6.04 (17) QDPSizeChangeProof (EQUIVALENT) 16.09/6.04 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. 16.09/6.04 16.09/6.04 From the DPs we obtained the following set of size-change graphs: 16.09/6.04 *new_psPs0([], :(:(xx400, xx401), xx41), xx5, bb) -> new_psPs0([], xx41, xx5, bb) 16.09/6.04 The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3, 4 >= 4 16.09/6.04 16.09/6.04 16.09/6.04 ---------------------------------------- 16.09/6.04 16.09/6.04 (18) 16.09/6.04 YES 16.09/6.04 16.09/6.04 ---------------------------------------- 16.09/6.04 16.09/6.04 (19) 16.09/6.04 Obligation: 16.09/6.04 Q DP problem: 16.09/6.04 The TRS P consists of the following rules: 16.09/6.04 16.09/6.04 new_psPs(xx13, xx14, False, xx17, xx18, ba) -> new_psPs0(:(xx13, xx14), xx17, xx18, ba) 16.09/6.04 new_psPs0(:(xx300, xx301), :([], xx41), xx5, bb) -> new_psPs(xx300, xx301, False, xx41, xx5, bb) 16.09/6.04 new_psPs0(:(xx300, xx301), :(:(xx400, xx401), xx41), xx5, bb) -> new_psPs(xx300, xx301, new_asAs(new_esEs4(xx300, xx400, bb), new_esEs5(xx301, xx401, bb)), xx41, xx5, bb) 16.09/6.04 16.09/6.04 The TRS R consists of the following rules: 16.09/6.04 16.09/6.04 new_esEs23(xx3002, xx4002, app(ty_Ratio, bba)) -> new_esEs10(xx3002, xx4002, bba) 16.09/6.04 new_esEs14(GT, GT) -> True 16.09/6.04 new_primEqInt(Pos(Zero), Pos(Zero)) -> True 16.09/6.04 new_esEs19(xx3000, xx4000, ty_Integer) -> new_esEs12(xx3000, xx4000) 16.09/6.04 new_primPlusNat0(Zero, Zero) -> Zero 16.09/6.04 new_esEs22(xx3001, xx4001, app(app(app(ty_@3, bab), bac), bad)) -> new_esEs16(xx3001, xx4001, bab, bac, bad) 16.09/6.04 new_esEs4(xx300, xx400, ty_Float) -> new_esEs11(xx300, xx400) 16.09/6.04 new_esEs8(Nothing, Nothing, bc) -> True 16.09/6.04 new_esEs15(Left(xx3000), Right(xx4000), cg, da) -> False 16.09/6.04 new_esEs15(Right(xx3000), Left(xx4000), cg, da) -> False 16.09/6.04 new_esEs22(xx3001, xx4001, app(app(ty_Either, hh), baa)) -> new_esEs15(xx3001, xx4001, hh, baa) 16.09/6.04 new_esEs23(xx3002, xx4002, ty_Char) -> new_esEs13(xx3002, xx4002) 16.09/6.04 new_esEs4(xx300, xx400, ty_Char) -> new_esEs13(xx300, xx400) 16.09/6.04 new_esEs15(Left(xx3000), Left(xx4000), ty_Ordering, da) -> new_esEs14(xx3000, xx4000) 16.09/6.04 new_esEs15(Right(xx3000), Right(xx4000), cg, app(app(ty_@2, bec), bed)) -> new_esEs18(xx3000, xx4000, bec, bed) 16.09/6.04 new_esEs8(Nothing, Just(xx4000), bc) -> False 16.09/6.04 new_esEs8(Just(xx3000), Nothing, bc) -> False 16.09/6.04 new_esEs25(xx3001, xx4001, ty_Integer) -> new_esEs12(xx3001, xx4001) 16.09/6.04 new_esEs20(xx3001, xx4001, ty_Bool) -> new_esEs17(xx3001, xx4001) 16.09/6.04 new_esEs14(EQ, EQ) -> True 16.09/6.04 new_esEs22(xx3001, xx4001, app(ty_Maybe, bag)) -> new_esEs8(xx3001, xx4001, bag) 16.09/6.04 new_esEs15(Right(xx3000), Right(xx4000), cg, app(app(app(ty_@3, bdh), bea), beb)) -> new_esEs16(xx3000, xx4000, bdh, bea, beb) 16.09/6.04 new_esEs26(xx3010, xx4010, ty_Double) -> new_esEs6(xx3010, xx4010) 16.09/6.04 new_primMulNat0(Succ(xx300100), Succ(xx400000)) -> new_primPlusNat1(new_primMulNat0(xx300100, Succ(xx400000)), xx400000) 16.09/6.04 new_esEs5([], [], bb) -> True 16.09/6.04 new_esEs14(EQ, GT) -> False 16.09/6.04 new_esEs14(GT, EQ) -> False 16.09/6.04 new_esEs23(xx3002, xx4002, ty_@0) -> new_esEs9(xx3002, xx4002) 16.09/6.04 new_esEs15(Right(xx3000), Right(xx4000), cg, ty_Ordering) -> new_esEs14(xx3000, xx4000) 16.09/6.04 new_esEs8(Just(xx3000), Just(xx4000), ty_@0) -> new_esEs9(xx3000, xx4000) 16.09/6.04 new_esEs20(xx3001, xx4001, app(ty_[], gd)) -> new_esEs5(xx3001, xx4001, gd) 16.09/6.04 new_esEs15(Right(xx3000), Right(xx4000), cg, ty_@0) -> new_esEs9(xx3000, xx4000) 16.09/6.04 new_asAs(True, xx32) -> xx32 16.09/6.04 new_esEs19(xx3000, xx4000, ty_Float) -> new_esEs11(xx3000, xx4000) 16.09/6.04 new_esEs4(xx300, xx400, ty_Integer) -> new_esEs12(xx300, xx400) 16.09/6.04 new_esEs26(xx3010, xx4010, app(app(ty_@2, de), df)) -> new_esEs18(xx3010, xx4010, de, df) 16.09/6.04 new_esEs21(xx3000, xx4000, ty_Int) -> new_esEs7(xx3000, xx4000) 16.09/6.04 new_esEs15(Left(xx3000), Left(xx4000), ty_Char, da) -> new_esEs13(xx3000, xx4000) 16.09/6.04 new_esEs17(False, True) -> False 16.09/6.04 new_esEs17(True, False) -> False 16.09/6.04 new_esEs15(Right(xx3000), Right(xx4000), cg, ty_Float) -> new_esEs11(xx3000, xx4000) 16.09/6.04 new_primEqInt(Pos(Succ(xx30000)), Pos(Zero)) -> False 16.09/6.04 new_primEqInt(Pos(Zero), Pos(Succ(xx40000))) -> False 16.09/6.04 new_esEs8(Just(xx3000), Just(xx4000), ty_Float) -> new_esEs11(xx3000, xx4000) 16.09/6.04 new_esEs19(xx3000, xx4000, ty_Char) -> new_esEs13(xx3000, xx4000) 16.09/6.04 new_esEs8(Just(xx3000), Just(xx4000), ty_Integer) -> new_esEs12(xx3000, xx4000) 16.09/6.04 new_esEs15(Left(xx3000), Left(xx4000), ty_Float, da) -> new_esEs11(xx3000, xx4000) 16.09/6.04 new_esEs4(xx300, xx400, app(ty_[], dg)) -> new_esEs5(xx300, xx400, dg) 16.09/6.04 new_esEs19(xx3000, xx4000, app(ty_[], fa)) -> new_esEs5(xx3000, xx4000, fa) 16.09/6.04 new_esEs15(Right(xx3000), Right(xx4000), cg, ty_Char) -> new_esEs13(xx3000, xx4000) 16.09/6.04 new_esEs8(Just(xx3000), Just(xx4000), ty_Char) -> new_esEs13(xx3000, xx4000) 16.09/6.04 new_primEqNat0(Succ(xx30000), Succ(xx40000)) -> new_primEqNat0(xx30000, xx40000) 16.09/6.04 new_esEs8(Just(xx3000), Just(xx4000), app(ty_Ratio, bd)) -> new_esEs10(xx3000, xx4000, bd) 16.09/6.04 new_esEs4(xx300, xx400, app(ty_Ratio, cf)) -> new_esEs10(xx300, xx400, cf) 16.09/6.04 new_esEs19(xx3000, xx4000, app(ty_Ratio, dh)) -> new_esEs10(xx3000, xx4000, dh) 16.09/6.04 new_esEs22(xx3001, xx4001, app(ty_[], bah)) -> new_esEs5(xx3001, xx4001, bah) 16.09/6.04 new_esEs20(xx3001, xx4001, app(ty_Maybe, gc)) -> new_esEs8(xx3001, xx4001, gc) 16.09/6.04 new_esEs8(Just(xx3000), Just(xx4000), ty_Bool) -> new_esEs17(xx3000, xx4000) 16.09/6.04 new_esEs9(@0, @0) -> True 16.09/6.04 new_esEs22(xx3001, xx4001, ty_Bool) -> new_esEs17(xx3001, xx4001) 16.09/6.04 new_esEs26(xx3010, xx4010, ty_Int) -> new_esEs7(xx3010, xx4010) 16.09/6.04 new_esEs4(xx300, xx400, ty_@0) -> new_esEs9(xx300, xx400) 16.09/6.04 new_esEs19(xx3000, xx4000, ty_@0) -> new_esEs9(xx3000, xx4000) 16.09/6.04 new_esEs8(Just(xx3000), Just(xx4000), app(ty_[], ce)) -> new_esEs5(xx3000, xx4000, ce) 16.09/6.04 new_esEs8(Just(xx3000), Just(xx4000), app(app(ty_Either, be), bf)) -> new_esEs15(xx3000, xx4000, be, bf) 16.09/6.04 new_esEs21(xx3000, xx4000, ty_Double) -> new_esEs6(xx3000, xx4000) 16.09/6.04 new_esEs23(xx3002, xx4002, app(app(ty_@2, bbg), bbh)) -> new_esEs18(xx3002, xx4002, bbg, bbh) 16.09/6.04 new_esEs23(xx3002, xx4002, ty_Int) -> new_esEs7(xx3002, xx4002) 16.09/6.04 new_primMulNat0(Zero, Zero) -> Zero 16.09/6.04 new_esEs19(xx3000, xx4000, app(app(app(ty_@3, ec), ed), ee)) -> new_esEs16(xx3000, xx4000, ec, ed, ee) 16.09/6.04 new_esEs23(xx3002, xx4002, app(ty_[], bcb)) -> new_esEs5(xx3002, xx4002, bcb) 16.09/6.04 new_esEs15(Left(xx3000), Left(xx4000), ty_Double, da) -> new_esEs6(xx3000, xx4000) 16.09/6.04 new_esEs8(Just(xx3000), Just(xx4000), app(app(app(ty_@3, bg), bh), ca)) -> new_esEs16(xx3000, xx4000, bg, bh, ca) 16.09/6.04 new_esEs20(xx3001, xx4001, ty_Float) -> new_esEs11(xx3001, xx4001) 16.09/6.04 new_esEs19(xx3000, xx4000, ty_Bool) -> new_esEs17(xx3000, xx4000) 16.09/6.04 new_esEs4(xx300, xx400, ty_Ordering) -> new_esEs14(xx300, xx400) 16.09/6.04 new_esEs15(Right(xx3000), Right(xx4000), cg, ty_Int) -> new_esEs7(xx3000, xx4000) 16.09/6.04 new_esEs26(xx3010, xx4010, app(app(ty_Either, cg), da)) -> new_esEs15(xx3010, xx4010, cg, da) 16.09/6.04 new_esEs15(Right(xx3000), Right(xx4000), cg, ty_Double) -> new_esEs6(xx3000, xx4000) 16.09/6.04 new_esEs15(Left(xx3000), Left(xx4000), app(app(ty_Either, bcd), bce), da) -> new_esEs15(xx3000, xx4000, bcd, bce) 16.09/6.04 new_esEs4(xx300, xx400, ty_Int) -> new_esEs7(xx300, xx400) 16.09/6.04 new_esEs15(Right(xx3000), Right(xx4000), cg, ty_Integer) -> new_esEs12(xx3000, xx4000) 16.09/6.04 new_primEqNat0(Succ(xx30000), Zero) -> False 16.09/6.04 new_primEqNat0(Zero, Succ(xx40000)) -> False 16.09/6.04 new_esEs26(xx3010, xx4010, app(ty_Maybe, bc)) -> new_esEs8(xx3010, xx4010, bc) 16.09/6.04 new_esEs11(Float(xx3000, xx3001), Float(xx4000, xx4001)) -> new_esEs7(new_sr(xx3000, xx4001), new_sr(xx3001, xx4000)) 16.09/6.04 new_esEs12(Integer(xx3000), Integer(xx4000)) -> new_primEqInt(xx3000, xx4000) 16.09/6.04 new_esEs21(xx3000, xx4000, ty_Float) -> new_esEs11(xx3000, xx4000) 16.09/6.04 new_esEs10(:%(xx3000, xx3001), :%(xx4000, xx4001), cf) -> new_asAs(new_esEs24(xx3000, xx4000, cf), new_esEs25(xx3001, xx4001, cf)) 16.09/6.04 new_esEs19(xx3000, xx4000, app(app(ty_Either, ea), eb)) -> new_esEs15(xx3000, xx4000, ea, eb) 16.09/6.04 new_esEs22(xx3001, xx4001, ty_Double) -> new_esEs6(xx3001, xx4001) 16.09/6.04 new_esEs15(Left(xx3000), Left(xx4000), ty_Int, da) -> new_esEs7(xx3000, xx4000) 16.09/6.04 new_esEs15(Right(xx3000), Right(xx4000), cg, app(ty_Maybe, bee)) -> new_esEs8(xx3000, xx4000, bee) 16.09/6.04 new_esEs20(xx3001, xx4001, app(app(ty_Either, fc), fd)) -> new_esEs15(xx3001, xx4001, fc, fd) 16.09/6.04 new_esEs26(xx3010, xx4010, ty_Float) -> new_esEs11(xx3010, xx4010) 16.09/6.04 new_esEs23(xx3002, xx4002, ty_Integer) -> new_esEs12(xx3002, xx4002) 16.09/6.04 new_esEs20(xx3001, xx4001, app(app(app(ty_@3, ff), fg), fh)) -> new_esEs16(xx3001, xx4001, ff, fg, fh) 16.09/6.04 new_esEs21(xx3000, xx4000, app(ty_Maybe, he)) -> new_esEs8(xx3000, xx4000, he) 16.09/6.04 new_esEs26(xx3010, xx4010, app(ty_Ratio, cf)) -> new_esEs10(xx3010, xx4010, cf) 16.09/6.04 new_primEqInt(Neg(Succ(xx30000)), Neg(Zero)) -> False 16.09/6.04 new_primEqInt(Neg(Zero), Neg(Succ(xx40000))) -> False 16.09/6.04 new_primEqInt(Pos(Succ(xx30000)), Pos(Succ(xx40000))) -> new_primEqNat0(xx30000, xx40000) 16.09/6.04 new_esEs23(xx3002, xx4002, ty_Ordering) -> new_esEs14(xx3002, xx4002) 16.09/6.04 new_esEs7(xx300, xx400) -> new_primEqInt(xx300, xx400) 16.09/6.04 new_sr(Pos(xx30010), Neg(xx40000)) -> Neg(new_primMulNat0(xx30010, xx40000)) 16.09/6.04 new_sr(Neg(xx30010), Pos(xx40000)) -> Neg(new_primMulNat0(xx30010, xx40000)) 16.09/6.04 new_primEqInt(Pos(Succ(xx30000)), Neg(xx4000)) -> False 16.09/6.04 new_primEqInt(Neg(Succ(xx30000)), Pos(xx4000)) -> False 16.09/6.04 new_esEs22(xx3001, xx4001, ty_Int) -> new_esEs7(xx3001, xx4001) 16.09/6.04 new_esEs15(Right(xx3000), Right(xx4000), cg, app(ty_Ratio, bde)) -> new_esEs10(xx3000, xx4000, bde) 16.09/6.04 new_esEs26(xx3010, xx4010, ty_Bool) -> new_esEs17(xx3010, xx4010) 16.09/6.04 new_esEs26(xx3010, xx4010, app(app(app(ty_@3, db), dc), dd)) -> new_esEs16(xx3010, xx4010, db, dc, dd) 16.09/6.04 new_esEs21(xx3000, xx4000, app(ty_Ratio, ge)) -> new_esEs10(xx3000, xx4000, ge) 16.09/6.04 new_esEs18(@2(xx3000, xx3001), @2(xx4000, xx4001), de, df) -> new_asAs(new_esEs19(xx3000, xx4000, de), new_esEs20(xx3001, xx4001, df)) 16.09/6.04 new_esEs15(Left(xx3000), Left(xx4000), app(ty_Maybe, bdc), da) -> new_esEs8(xx3000, xx4000, bdc) 16.09/6.04 new_esEs17(True, True) -> True 16.09/6.04 new_esEs23(xx3002, xx4002, app(ty_Maybe, bca)) -> new_esEs8(xx3002, xx4002, bca) 16.09/6.04 new_esEs26(xx3010, xx4010, ty_Integer) -> new_esEs12(xx3010, xx4010) 16.09/6.04 new_esEs15(Right(xx3000), Right(xx4000), cg, ty_Bool) -> new_esEs17(xx3000, xx4000) 16.09/6.04 new_esEs13(Char(xx3000), Char(xx4000)) -> new_primEqNat0(xx3000, xx4000) 16.09/6.04 new_esEs15(Left(xx3000), Left(xx4000), app(app(app(ty_@3, bcf), bcg), bch), da) -> new_esEs16(xx3000, xx4000, bcf, bcg, bch) 16.09/6.04 new_esEs8(Just(xx3000), Just(xx4000), ty_Int) -> new_esEs7(xx3000, xx4000) 16.09/6.04 new_esEs15(Left(xx3000), Left(xx4000), app(app(ty_@2, bda), bdb), da) -> new_esEs18(xx3000, xx4000, bda, bdb) 16.09/6.04 new_sr(Neg(xx30010), Neg(xx40000)) -> Pos(new_primMulNat0(xx30010, xx40000)) 16.09/6.04 new_esEs21(xx3000, xx4000, ty_Bool) -> new_esEs17(xx3000, xx4000) 16.09/6.04 new_esEs19(xx3000, xx4000, ty_Double) -> new_esEs6(xx3000, xx4000) 16.09/6.04 new_esEs15(Left(xx3000), Left(xx4000), app(ty_Ratio, bcc), da) -> new_esEs10(xx3000, xx4000, bcc) 16.09/6.04 new_esEs26(xx3010, xx4010, ty_@0) -> new_esEs9(xx3010, xx4010) 16.09/6.04 new_esEs19(xx3000, xx4000, ty_Int) -> new_esEs7(xx3000, xx4000) 16.09/6.04 new_esEs15(Left(xx3000), Left(xx4000), ty_Bool, da) -> new_esEs17(xx3000, xx4000) 16.09/6.04 new_esEs8(Just(xx3000), Just(xx4000), ty_Double) -> new_esEs6(xx3000, xx4000) 16.09/6.04 new_esEs23(xx3002, xx4002, ty_Bool) -> new_esEs17(xx3002, xx4002) 16.09/6.04 new_esEs21(xx3000, xx4000, app(app(ty_Either, gf), gg)) -> new_esEs15(xx3000, xx4000, gf, gg) 16.09/6.04 new_esEs21(xx3000, xx4000, app(app(app(ty_@3, gh), ha), hb)) -> new_esEs16(xx3000, xx4000, gh, ha, hb) 16.09/6.04 new_esEs4(xx300, xx400, app(ty_Maybe, bc)) -> new_esEs8(xx300, xx400, bc) 16.09/6.04 new_esEs8(Just(xx3000), Just(xx4000), app(app(ty_@2, cb), cc)) -> new_esEs18(xx3000, xx4000, cb, cc) 16.09/6.04 new_primEqInt(Pos(Zero), Neg(Succ(xx40000))) -> False 16.09/6.04 new_primEqInt(Neg(Zero), Pos(Succ(xx40000))) -> False 16.09/6.04 new_esEs19(xx3000, xx4000, app(app(ty_@2, ef), eg)) -> new_esEs18(xx3000, xx4000, ef, eg) 16.09/6.04 new_esEs20(xx3001, xx4001, ty_Ordering) -> new_esEs14(xx3001, xx4001) 16.09/6.04 new_primPlusNat0(Succ(xx3300), Succ(xx4000000)) -> Succ(Succ(new_primPlusNat0(xx3300, xx4000000))) 16.09/6.04 new_esEs4(xx300, xx400, app(app(ty_Either, cg), da)) -> new_esEs15(xx300, xx400, cg, da) 16.09/6.04 new_esEs8(Just(xx3000), Just(xx4000), ty_Ordering) -> new_esEs14(xx3000, xx4000) 16.09/6.04 new_esEs20(xx3001, xx4001, ty_Int) -> new_esEs7(xx3001, xx4001) 16.09/6.04 new_esEs5(:(xx3010, xx3011), :(xx4010, xx4011), bb) -> new_asAs(new_esEs26(xx3010, xx4010, bb), new_esEs5(xx3011, xx4011, bb)) 16.09/6.04 new_esEs22(xx3001, xx4001, ty_Float) -> new_esEs11(xx3001, xx4001) 16.09/6.04 new_primEqInt(Neg(Succ(xx30000)), Neg(Succ(xx40000))) -> new_primEqNat0(xx30000, xx40000) 16.09/6.04 new_esEs24(xx3000, xx4000, ty_Integer) -> new_esEs12(xx3000, xx4000) 16.09/6.04 new_esEs20(xx3001, xx4001, app(ty_Ratio, fb)) -> new_esEs10(xx3001, xx4001, fb) 16.09/6.04 new_esEs20(xx3001, xx4001, app(app(ty_@2, ga), gb)) -> new_esEs18(xx3001, xx4001, ga, gb) 16.09/6.04 new_esEs4(xx300, xx400, app(app(app(ty_@3, db), dc), dd)) -> new_esEs16(xx300, xx400, db, dc, dd) 16.09/6.04 new_esEs4(xx300, xx400, ty_Bool) -> new_esEs17(xx300, xx400) 16.09/6.04 new_esEs23(xx3002, xx4002, ty_Double) -> new_esEs6(xx3002, xx4002) 16.09/6.04 new_esEs4(xx300, xx400, ty_Double) -> new_esEs6(xx300, xx400) 16.09/6.04 new_esEs19(xx3000, xx4000, ty_Ordering) -> new_esEs14(xx3000, xx4000) 16.09/6.04 new_esEs22(xx3001, xx4001, ty_@0) -> new_esEs9(xx3001, xx4001) 16.09/6.04 new_esEs22(xx3001, xx4001, app(ty_Ratio, hg)) -> new_esEs10(xx3001, xx4001, hg) 16.09/6.04 new_esEs14(LT, GT) -> False 16.09/6.04 new_esEs14(GT, LT) -> False 16.09/6.04 new_esEs22(xx3001, xx4001, ty_Integer) -> new_esEs12(xx3001, xx4001) 16.09/6.04 new_esEs15(Left(xx3000), Left(xx4000), ty_Integer, da) -> new_esEs12(xx3000, xx4000) 16.09/6.04 new_primMulNat0(Succ(xx300100), Zero) -> Zero 16.09/6.04 new_primMulNat0(Zero, Succ(xx400000)) -> Zero 16.09/6.04 new_sr(Pos(xx30010), Pos(xx40000)) -> Pos(new_primMulNat0(xx30010, xx40000)) 16.09/6.04 new_esEs14(LT, LT) -> True 16.09/6.04 new_primPlusNat1(Succ(xx330), xx400000) -> Succ(Succ(new_primPlusNat0(xx330, xx400000))) 16.09/6.04 new_esEs20(xx3001, xx4001, ty_Double) -> new_esEs6(xx3001, xx4001) 16.09/6.04 new_esEs22(xx3001, xx4001, ty_Char) -> new_esEs13(xx3001, xx4001) 16.09/6.04 new_esEs14(LT, EQ) -> False 16.09/6.04 new_esEs14(EQ, LT) -> False 16.09/6.04 new_esEs22(xx3001, xx4001, ty_Ordering) -> new_esEs14(xx3001, xx4001) 16.09/6.04 new_esEs20(xx3001, xx4001, ty_@0) -> new_esEs9(xx3001, xx4001) 16.09/6.04 new_esEs21(xx3000, xx4000, ty_Integer) -> new_esEs12(xx3000, xx4000) 16.09/6.04 new_primPlusNat0(Succ(xx3300), Zero) -> Succ(xx3300) 16.09/6.04 new_primPlusNat0(Zero, Succ(xx4000000)) -> Succ(xx4000000) 16.09/6.04 new_primEqInt(Neg(Zero), Neg(Zero)) -> True 16.09/6.04 new_esEs17(False, False) -> True 16.09/6.04 new_primPlusNat1(Zero, xx400000) -> Succ(xx400000) 16.09/6.04 new_esEs15(Right(xx3000), Right(xx4000), cg, app(app(ty_Either, bdf), bdg)) -> new_esEs15(xx3000, xx4000, bdf, bdg) 16.09/6.04 new_esEs20(xx3001, xx4001, ty_Integer) -> new_esEs12(xx3001, xx4001) 16.09/6.04 new_esEs6(Double(xx3000, xx3001), Double(xx4000, xx4001)) -> new_esEs7(new_sr(xx3000, xx4001), new_sr(xx3001, xx4000)) 16.09/6.04 new_esEs19(xx3000, xx4000, app(ty_Maybe, eh)) -> new_esEs8(xx3000, xx4000, eh) 16.09/6.04 new_esEs22(xx3001, xx4001, app(app(ty_@2, bae), baf)) -> new_esEs18(xx3001, xx4001, bae, baf) 16.09/6.04 new_esEs24(xx3000, xx4000, ty_Int) -> new_esEs7(xx3000, xx4000) 16.09/6.04 new_esEs4(xx300, xx400, app(app(ty_@2, de), df)) -> new_esEs18(xx300, xx400, de, df) 16.09/6.04 new_primEqInt(Pos(Zero), Neg(Zero)) -> True 16.09/6.04 new_primEqInt(Neg(Zero), Pos(Zero)) -> True 16.09/6.04 new_esEs21(xx3000, xx4000, app(app(ty_@2, hc), hd)) -> new_esEs18(xx3000, xx4000, hc, hd) 16.09/6.04 new_esEs8(Just(xx3000), Just(xx4000), app(ty_Maybe, cd)) -> new_esEs8(xx3000, xx4000, cd) 16.09/6.04 new_esEs15(Left(xx3000), Left(xx4000), app(ty_[], bdd), da) -> new_esEs5(xx3000, xx4000, bdd) 16.09/6.04 new_esEs20(xx3001, xx4001, ty_Char) -> new_esEs13(xx3001, xx4001) 16.09/6.04 new_esEs15(Left(xx3000), Left(xx4000), ty_@0, da) -> new_esEs9(xx3000, xx4000) 16.09/6.04 new_esEs15(Right(xx3000), Right(xx4000), cg, app(ty_[], bef)) -> new_esEs5(xx3000, xx4000, bef) 16.09/6.04 new_esEs25(xx3001, xx4001, ty_Int) -> new_esEs7(xx3001, xx4001) 16.09/6.04 new_esEs5(:(xx3010, xx3011), [], bb) -> False 16.09/6.04 new_esEs5([], :(xx4010, xx4011), bb) -> False 16.09/6.04 new_primEqNat0(Zero, Zero) -> True 16.09/6.04 new_esEs16(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), db, dc, dd) -> new_asAs(new_esEs21(xx3000, xx4000, db), new_asAs(new_esEs22(xx3001, xx4001, dc), new_esEs23(xx3002, xx4002, dd))) 16.09/6.04 new_esEs21(xx3000, xx4000, app(ty_[], hf)) -> new_esEs5(xx3000, xx4000, hf) 16.09/6.04 new_asAs(False, xx32) -> False 16.09/6.04 new_esEs21(xx3000, xx4000, ty_Ordering) -> new_esEs14(xx3000, xx4000) 16.09/6.04 new_esEs21(xx3000, xx4000, ty_Char) -> new_esEs13(xx3000, xx4000) 16.09/6.04 new_esEs23(xx3002, xx4002, app(app(app(ty_@3, bbd), bbe), bbf)) -> new_esEs16(xx3002, xx4002, bbd, bbe, bbf) 16.09/6.04 new_esEs23(xx3002, xx4002, ty_Float) -> new_esEs11(xx3002, xx4002) 16.09/6.04 new_esEs26(xx3010, xx4010, app(ty_[], dg)) -> new_esEs5(xx3010, xx4010, dg) 16.09/6.04 new_esEs23(xx3002, xx4002, app(app(ty_Either, bbb), bbc)) -> new_esEs15(xx3002, xx4002, bbb, bbc) 16.09/6.04 new_esEs26(xx3010, xx4010, ty_Ordering) -> new_esEs14(xx3010, xx4010) 16.09/6.04 new_esEs26(xx3010, xx4010, ty_Char) -> new_esEs13(xx3010, xx4010) 16.09/6.04 new_esEs21(xx3000, xx4000, ty_@0) -> new_esEs9(xx3000, xx4000) 16.09/6.04 16.09/6.04 The set Q consists of the following terms: 16.09/6.04 16.09/6.04 new_esEs14(EQ, EQ) 16.09/6.04 new_esEs26(x0, x1, ty_Double) 16.09/6.04 new_primPlusNat0(Zero, Succ(x0)) 16.09/6.04 new_esEs4(x0, x1, ty_Ordering) 16.09/6.04 new_esEs20(x0, x1, ty_Double) 16.09/6.04 new_esEs26(x0, x1, ty_Float) 16.09/6.04 new_primPlusNat1(Zero, x0) 16.09/6.04 new_primEqInt(Neg(Succ(x0)), Neg(Zero)) 16.09/6.04 new_esEs23(x0, x1, ty_Ordering) 16.09/6.04 new_esEs8(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) 16.09/6.04 new_esEs23(x0, x1, ty_Int) 16.09/6.04 new_esEs22(x0, x1, ty_Double) 16.09/6.04 new_esEs19(x0, x1, app(ty_Ratio, x2)) 16.09/6.04 new_esEs26(x0, x1, ty_Ordering) 16.09/6.04 new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) 16.09/6.04 new_esEs15(Left(x0), Left(x1), ty_Float, x2) 16.09/6.04 new_esEs15(Left(x0), Left(x1), ty_Double, x2) 16.09/6.04 new_primMulNat0(Zero, Zero) 16.09/6.04 new_esEs13(Char(x0), Char(x1)) 16.09/6.04 new_esEs19(x0, x1, ty_Char) 16.09/6.04 new_esEs20(x0, x1, ty_Float) 16.09/6.04 new_esEs23(x0, x1, app(ty_[], x2)) 16.09/6.04 new_esEs24(x0, x1, ty_Integer) 16.09/6.04 new_esEs4(x0, x1, ty_Int) 16.09/6.04 new_esEs15(Right(x0), Right(x1), x2, ty_Integer) 16.09/6.04 new_primPlusNat0(Succ(x0), Succ(x1)) 16.09/6.04 new_primPlusNat0(Succ(x0), Zero) 16.09/6.04 new_esEs17(True, True) 16.09/6.04 new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) 16.09/6.04 new_esEs22(x0, x1, app(ty_Maybe, x2)) 16.09/6.04 new_esEs4(x0, x1, app(ty_Ratio, x2)) 16.09/6.04 new_primEqInt(Pos(Zero), Pos(Zero)) 16.09/6.04 new_esEs8(Just(x0), Just(x1), app(ty_Ratio, x2)) 16.09/6.04 new_esEs20(x0, x1, app(ty_Maybe, x2)) 16.09/6.04 new_esEs23(x0, x1, ty_Char) 16.09/6.04 new_esEs23(x0, x1, ty_Double) 16.09/6.04 new_esEs22(x0, x1, app(ty_Ratio, x2)) 16.09/6.04 new_esEs23(x0, x1, app(ty_Maybe, x2)) 16.09/6.04 new_esEs17(False, False) 16.09/6.04 new_esEs26(x0, x1, ty_Int) 16.09/6.04 new_esEs15(Right(x0), Right(x1), x2, ty_@0) 16.09/6.04 new_esEs26(x0, x1, app(ty_Ratio, x2)) 16.09/6.04 new_esEs20(x0, x1, ty_Ordering) 16.09/6.04 new_esEs5([], [], x0) 16.09/6.04 new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) 16.09/6.04 new_esEs19(x0, x1, ty_Bool) 16.09/6.04 new_esEs15(Left(x0), Left(x1), ty_Int, x2) 16.09/6.04 new_sr(Pos(x0), Neg(x1)) 16.09/6.04 new_sr(Neg(x0), Pos(x1)) 16.09/6.04 new_esEs4(x0, x1, ty_Char) 16.09/6.04 new_primEqInt(Pos(Succ(x0)), Pos(Zero)) 16.09/6.04 new_esEs12(Integer(x0), Integer(x1)) 16.09/6.04 new_esEs4(x0, x1, ty_Double) 16.09/6.04 new_primEqInt(Neg(Zero), Neg(Zero)) 16.09/6.04 new_esEs20(x0, x1, ty_Int) 16.09/6.04 new_esEs8(Just(x0), Just(x1), ty_Double) 16.09/6.04 new_esEs15(Left(x0), Left(x1), ty_Ordering, x2) 16.09/6.04 new_esEs15(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) 16.09/6.04 new_esEs26(x0, x1, ty_Char) 16.09/6.04 new_esEs15(Left(x0), Left(x1), app(ty_Maybe, x2), x3) 16.09/6.04 new_primPlusNat0(Zero, Zero) 16.09/6.04 new_esEs22(x0, x1, ty_Integer) 16.09/6.04 new_esEs15(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) 16.09/6.04 new_esEs15(Right(x0), Right(x1), x2, app(ty_[], x3)) 16.09/6.04 new_esEs20(x0, x1, app(ty_Ratio, x2)) 16.09/6.04 new_esEs19(x0, x1, app(ty_[], x2)) 16.09/6.04 new_esEs21(x0, x1, ty_Bool) 16.09/6.04 new_sr(Pos(x0), Pos(x1)) 16.09/6.04 new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.09/6.04 new_esEs21(x0, x1, ty_Float) 16.09/6.04 new_esEs25(x0, x1, ty_Integer) 16.09/6.04 new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) 16.09/6.04 new_esEs19(x0, x1, ty_Float) 16.09/6.04 new_esEs4(x0, x1, app(ty_[], x2)) 16.09/6.04 new_esEs14(EQ, GT) 16.09/6.04 new_esEs14(GT, EQ) 16.09/6.04 new_esEs8(Just(x0), Just(x1), ty_Bool) 16.09/6.04 new_esEs8(Just(x0), Just(x1), ty_Ordering) 16.09/6.04 new_esEs15(Right(x0), Right(x1), x2, ty_Float) 16.09/6.04 new_esEs19(x0, x1, ty_Double) 16.09/6.04 new_esEs21(x0, x1, ty_Double) 16.09/6.04 new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) 16.09/6.04 new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) 16.09/6.04 new_primEqInt(Pos(Zero), Neg(Zero)) 16.09/6.04 new_primEqInt(Neg(Zero), Pos(Zero)) 16.09/6.04 new_esEs23(x0, x1, ty_@0) 16.09/6.04 new_esEs17(False, True) 16.09/6.04 new_esEs17(True, False) 16.09/6.04 new_esEs4(x0, x1, ty_Integer) 16.09/6.04 new_esEs22(x0, x1, ty_Ordering) 16.09/6.04 new_esEs8(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) 16.09/6.04 new_esEs8(Just(x0), Just(x1), ty_Integer) 16.09/6.04 new_esEs21(x0, x1, ty_Int) 16.09/6.04 new_esEs15(Left(x0), Left(x1), app(ty_[], x2), x3) 16.09/6.04 new_esEs21(x0, x1, ty_@0) 16.09/6.04 new_asAs(False, x0) 16.09/6.04 new_esEs19(x0, x1, ty_Int) 16.09/6.04 new_esEs8(Nothing, Just(x0), x1) 16.09/6.04 new_esEs23(x0, x1, ty_Float) 16.09/6.04 new_esEs20(x0, x1, app(ty_[], x2)) 16.09/6.04 new_primMulNat0(Zero, Succ(x0)) 16.09/6.04 new_esEs20(x0, x1, app(app(ty_Either, x2), x3)) 16.09/6.04 new_esEs8(Just(x0), Just(x1), app(ty_[], x2)) 16.09/6.04 new_esEs24(x0, x1, ty_Int) 16.09/6.04 new_esEs19(x0, x1, ty_@0) 16.09/6.04 new_esEs8(Nothing, Nothing, x0) 16.09/6.04 new_esEs15(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) 16.09/6.04 new_esEs9(@0, @0) 16.09/6.04 new_esEs15(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) 16.09/6.04 new_esEs7(x0, x1) 16.09/6.04 new_esEs26(x0, x1, ty_@0) 16.09/6.04 new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) 16.09/6.04 new_esEs16(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) 16.09/6.04 new_primEqInt(Pos(Succ(x0)), Neg(x1)) 16.09/6.04 new_primEqInt(Neg(Succ(x0)), Pos(x1)) 16.09/6.04 new_esEs20(x0, x1, ty_@0) 16.09/6.04 new_primEqInt(Neg(Zero), Neg(Succ(x0))) 16.09/6.04 new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.09/6.04 new_esEs4(x0, x1, ty_Bool) 16.09/6.04 new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.09/6.04 new_esEs20(x0, x1, ty_Bool) 16.09/6.04 new_primEqNat0(Succ(x0), Succ(x1)) 16.09/6.04 new_esEs15(Left(x0), Left(x1), ty_Bool, x2) 16.09/6.04 new_esEs21(x0, x1, ty_Char) 16.09/6.04 new_esEs11(Float(x0, x1), Float(x2, x3)) 16.09/6.04 new_primEqInt(Pos(Zero), Pos(Succ(x0))) 16.09/6.04 new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) 16.09/6.04 new_esEs19(x0, x1, app(ty_Maybe, x2)) 16.09/6.04 new_esEs8(Just(x0), Nothing, x1) 16.09/6.04 new_esEs26(x0, x1, ty_Bool) 16.09/6.04 new_esEs4(x0, x1, ty_@0) 16.09/6.04 new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.09/6.04 new_esEs8(Just(x0), Just(x1), app(ty_Maybe, x2)) 16.09/6.04 new_esEs5([], :(x0, x1), x2) 16.09/6.04 new_esEs14(LT, EQ) 16.09/6.04 new_esEs14(EQ, LT) 16.09/6.04 new_esEs8(Just(x0), Just(x1), ty_@0) 16.09/6.04 new_esEs15(Left(x0), Left(x1), ty_Integer, x2) 16.09/6.04 new_esEs15(Right(x0), Right(x1), x2, ty_Ordering) 16.09/6.04 new_esEs6(Double(x0, x1), Double(x2, x3)) 16.09/6.04 new_esEs19(x0, x1, app(app(ty_@2, x2), x3)) 16.09/6.04 new_esEs23(x0, x1, app(ty_Ratio, x2)) 16.09/6.04 new_esEs15(Right(x0), Right(x1), x2, ty_Double) 16.09/6.04 new_esEs4(x0, x1, app(ty_Maybe, x2)) 16.09/6.04 new_primMulNat0(Succ(x0), Zero) 16.09/6.04 new_esEs15(Right(x0), Right(x1), x2, ty_Char) 16.09/6.04 new_esEs14(GT, GT) 16.09/6.04 new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) 16.09/6.04 new_esEs15(Left(x0), Left(x1), app(ty_Ratio, x2), x3) 16.09/6.04 new_asAs(True, x0) 16.09/6.04 new_primMulNat0(Succ(x0), Succ(x1)) 16.09/6.04 new_primEqInt(Pos(Zero), Neg(Succ(x0))) 16.09/6.04 new_primEqInt(Neg(Zero), Pos(Succ(x0))) 16.09/6.04 new_esEs14(LT, GT) 16.09/6.04 new_esEs14(GT, LT) 16.09/6.04 new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.09/6.04 new_esEs22(x0, x1, ty_Bool) 16.09/6.04 new_esEs10(:%(x0, x1), :%(x2, x3), x4) 16.09/6.04 new_esEs15(Left(x0), Left(x1), ty_@0, x2) 16.09/6.04 new_esEs15(Right(x0), Right(x1), x2, ty_Int) 16.09/6.04 new_primEqNat0(Zero, Succ(x0)) 16.09/6.04 new_esEs8(Just(x0), Just(x1), ty_Char) 16.09/6.04 new_esEs26(x0, x1, app(ty_Maybe, x2)) 16.09/6.04 new_primEqNat0(Succ(x0), Zero) 16.09/6.04 new_esEs23(x0, x1, ty_Bool) 16.09/6.04 new_esEs20(x0, x1, ty_Char) 16.09/6.04 new_primEqNat0(Zero, Zero) 16.09/6.04 new_esEs15(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) 16.09/6.04 new_esEs15(Left(x0), Right(x1), x2, x3) 16.09/6.04 new_esEs15(Right(x0), Left(x1), x2, x3) 16.09/6.04 new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) 16.09/6.04 new_esEs21(x0, x1, app(ty_Maybe, x2)) 16.09/6.04 new_esEs21(x0, x1, app(ty_Ratio, x2)) 16.09/6.04 new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.09/6.04 new_esEs22(x0, x1, ty_Int) 16.09/6.04 new_esEs26(x0, x1, ty_Integer) 16.09/6.04 new_esEs8(Just(x0), Just(x1), ty_Int) 16.09/6.04 new_esEs8(Just(x0), Just(x1), ty_Float) 16.09/6.04 new_esEs19(x0, x1, app(app(ty_Either, x2), x3)) 16.09/6.04 new_esEs18(@2(x0, x1), @2(x2, x3), x4, x5) 16.09/6.04 new_esEs15(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) 16.09/6.04 new_esEs20(x0, x1, ty_Integer) 16.09/6.04 new_esEs15(Left(x0), Left(x1), ty_Char, x2) 16.09/6.04 new_esEs14(LT, LT) 16.09/6.04 new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) 16.09/6.04 new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.09/6.04 new_esEs22(x0, x1, ty_Char) 16.09/6.04 new_esEs26(x0, x1, app(ty_[], x2)) 16.09/6.04 new_esEs21(x0, x1, app(ty_[], x2)) 16.09/6.04 new_esEs5(:(x0, x1), :(x2, x3), x4) 16.09/6.04 new_esEs15(Right(x0), Right(x1), x2, ty_Bool) 16.09/6.04 new_esEs21(x0, x1, ty_Integer) 16.09/6.04 new_esEs19(x0, x1, ty_Integer) 16.09/6.04 new_esEs15(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) 16.09/6.04 new_esEs8(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) 16.09/6.04 new_primPlusNat1(Succ(x0), x1) 16.09/6.04 new_esEs5(:(x0, x1), [], x2) 16.09/6.04 new_sr(Neg(x0), Neg(x1)) 16.09/6.04 new_esEs22(x0, x1, ty_Float) 16.09/6.04 new_esEs15(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) 16.09/6.04 new_esEs22(x0, x1, ty_@0) 16.09/6.04 new_esEs4(x0, x1, ty_Float) 16.09/6.04 new_esEs23(x0, x1, ty_Integer) 16.09/6.04 new_esEs25(x0, x1, ty_Int) 16.09/6.04 new_esEs20(x0, x1, app(app(ty_@2, x2), x3)) 16.09/6.04 new_esEs22(x0, x1, app(ty_[], x2)) 16.09/6.04 new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) 16.09/6.04 new_esEs21(x0, x1, ty_Ordering) 16.09/6.04 new_esEs19(x0, x1, ty_Ordering) 16.09/6.04 16.09/6.04 We have to consider all minimal (P,Q,R)-chains. 16.09/6.04 ---------------------------------------- 16.09/6.04 16.09/6.04 (20) QDPSizeChangeProof (EQUIVALENT) 16.09/6.04 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. 16.09/6.04 16.09/6.04 From the DPs we obtained the following set of size-change graphs: 16.09/6.04 *new_psPs(xx13, xx14, False, xx17, xx18, ba) -> new_psPs0(:(xx13, xx14), xx17, xx18, ba) 16.09/6.04 The graph contains the following edges 4 >= 2, 5 >= 3, 6 >= 4 16.09/6.04 16.09/6.04 16.09/6.04 *new_psPs0(:(xx300, xx301), :([], xx41), xx5, bb) -> new_psPs(xx300, xx301, False, xx41, xx5, bb) 16.09/6.04 The graph contains the following edges 1 > 1, 1 > 2, 2 > 4, 3 >= 5, 4 >= 6 16.09/6.04 16.09/6.04 16.09/6.04 *new_psPs0(:(xx300, xx301), :(:(xx400, xx401), xx41), xx5, bb) -> new_psPs(xx300, xx301, new_asAs(new_esEs4(xx300, xx400, bb), new_esEs5(xx301, xx401, bb)), xx41, xx5, bb) 16.09/6.04 The graph contains the following edges 1 > 1, 1 > 2, 2 > 4, 3 >= 5, 4 >= 6 16.09/6.04 16.09/6.04 16.09/6.04 ---------------------------------------- 16.09/6.04 16.09/6.04 (21) 16.09/6.04 YES 16.09/6.04 16.09/6.04 ---------------------------------------- 16.09/6.04 16.09/6.04 (22) 16.09/6.04 Obligation: 16.09/6.04 Q DP problem: 16.09/6.04 The TRS P consists of the following rules: 16.09/6.04 16.09/6.04 new_esEs(Left(xx3000), Left(xx4000), app(app(app(ty_@3, bd), be), bf), bc) -> new_esEs0(xx3000, xx4000, bd, be, bf) 16.09/6.04 new_esEs2(Just(xx3000), Just(xx4000), app(app(ty_@2, bcf), bcg)) -> new_esEs1(xx3000, xx4000, bcf, bcg) 16.09/6.04 new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), fa, app(ty_Maybe, gb), ea) -> new_esEs2(xx3001, xx4001, gb) 16.09/6.04 new_esEs(Right(xx3000), Right(xx4000), cc, app(app(app(ty_@3, cf), cg), da)) -> new_esEs0(xx3000, xx4000, cf, cg, da) 16.09/6.04 new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), app(ty_Maybe, eg), dh, ea) -> new_esEs2(xx3000, xx4000, eg) 16.09/6.04 new_esEs3(:(xx3010, xx3011), :(xx4010, xx4011), app(app(ty_Either, cc), bc)) -> new_esEs(xx3010, xx4010, cc, bc) 16.09/6.04 new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), fa, dh, app(app(ty_@2, ha), hb)) -> new_esEs1(xx3002, xx4002, ha, hb) 16.09/6.04 new_esEs(Right(xx3000), Right(xx4000), cc, app(app(ty_@2, db), dc)) -> new_esEs1(xx3000, xx4000, db, dc) 16.09/6.04 new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), app(app(ty_Either, df), dg), dh, ea) -> new_esEs(xx3000, xx4000, df, dg) 16.09/6.04 new_esEs(Left(xx3000), Left(xx4000), app(ty_Maybe, ca), bc) -> new_esEs2(xx3000, xx4000, ca) 16.09/6.04 new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), fa, app(app(app(ty_@3, fd), ff), fg), ea) -> new_esEs0(xx3001, xx4001, fd, ff, fg) 16.09/6.04 new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), fa, app(app(ty_@2, fh), ga), ea) -> new_esEs1(xx3001, xx4001, fh, ga) 16.09/6.04 new_esEs3(:(xx3010, xx3011), :(xx4010, xx4011), app(ty_Maybe, bdb)) -> new_esEs2(xx3010, xx4010, bdb) 16.09/6.04 new_esEs3(:(xx3010, xx3011), :(xx4010, xx4011), app(ty_[], bdc)) -> new_esEs3(xx3010, xx4010, bdc) 16.09/6.04 new_esEs2(Just(xx3000), Just(xx4000), app(ty_Maybe, bch)) -> new_esEs2(xx3000, xx4000, bch) 16.09/6.04 new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), fa, dh, app(app(ty_Either, gd), ge)) -> new_esEs(xx3002, xx4002, gd, ge) 16.09/6.04 new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), bag, app(app(ty_Either, bah), bba)) -> new_esEs(xx3001, xx4001, bah, bba) 16.09/6.04 new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), app(app(app(ty_@3, hh), baa), bab), hg) -> new_esEs0(xx3000, xx4000, hh, baa, bab) 16.09/6.04 new_esEs(Left(xx3000), Left(xx4000), app(app(ty_@2, bg), bh), bc) -> new_esEs1(xx3000, xx4000, bg, bh) 16.09/6.04 new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), fa, dh, app(ty_[], hd)) -> new_esEs3(xx3002, xx4002, hd) 16.09/6.04 new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), app(ty_[], baf), hg) -> new_esEs3(xx3000, xx4000, baf) 16.09/6.04 new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), bag, app(ty_Maybe, bbg)) -> new_esEs2(xx3001, xx4001, bbg) 16.09/6.04 new_esEs2(Just(xx3000), Just(xx4000), app(ty_[], bda)) -> new_esEs3(xx3000, xx4000, bda) 16.09/6.04 new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), fa, dh, app(app(app(ty_@3, gf), gg), gh)) -> new_esEs0(xx3002, xx4002, gf, gg, gh) 16.09/6.04 new_esEs3(:(xx3010, xx3011), :(xx4010, xx4011), app(app(ty_@2, bag), hg)) -> new_esEs1(xx3010, xx4010, bag, hg) 16.09/6.04 new_esEs(Right(xx3000), Right(xx4000), cc, app(app(ty_Either, cd), ce)) -> new_esEs(xx3000, xx4000, cd, ce) 16.09/6.04 new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), fa, dh, app(ty_Maybe, hc)) -> new_esEs2(xx3002, xx4002, hc) 16.09/6.04 new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), bag, app(ty_[], bbh)) -> new_esEs3(xx3001, xx4001, bbh) 16.09/6.04 new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), app(ty_Maybe, bae), hg) -> new_esEs2(xx3000, xx4000, bae) 16.09/6.04 new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), bag, app(app(app(ty_@3, bbb), bbc), bbd)) -> new_esEs0(xx3001, xx4001, bbb, bbc, bbd) 16.09/6.04 new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), fa, app(app(ty_Either, fb), fc), ea) -> new_esEs(xx3001, xx4001, fb, fc) 16.09/6.04 new_esEs3(:(xx3010, xx3011), :(xx4010, xx4011), bdd) -> new_esEs3(xx3011, xx4011, bdd) 16.09/6.04 new_esEs(Right(xx3000), Right(xx4000), cc, app(ty_[], de)) -> new_esEs3(xx3000, xx4000, de) 16.09/6.04 new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), fa, app(ty_[], gc), ea) -> new_esEs3(xx3001, xx4001, gc) 16.09/6.04 new_esEs(Left(xx3000), Left(xx4000), app(app(ty_Either, ba), bb), bc) -> new_esEs(xx3000, xx4000, ba, bb) 16.09/6.04 new_esEs3(:(xx3010, xx3011), :(xx4010, xx4011), app(app(app(ty_@3, fa), dh), ea)) -> new_esEs0(xx3010, xx4010, fa, dh, ea) 16.09/6.04 new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), app(ty_[], eh), dh, ea) -> new_esEs3(xx3000, xx4000, eh) 16.09/6.04 new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), app(app(ty_@2, bac), bad), hg) -> new_esEs1(xx3000, xx4000, bac, bad) 16.09/6.04 new_esEs(Right(xx3000), Right(xx4000), cc, app(ty_Maybe, dd)) -> new_esEs2(xx3000, xx4000, dd) 16.09/6.04 new_esEs2(Just(xx3000), Just(xx4000), app(app(ty_Either, bca), bcb)) -> new_esEs(xx3000, xx4000, bca, bcb) 16.09/6.04 new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), app(app(ty_Either, he), hf), hg) -> new_esEs(xx3000, xx4000, he, hf) 16.09/6.04 new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), bag, app(app(ty_@2, bbe), bbf)) -> new_esEs1(xx3001, xx4001, bbe, bbf) 16.09/6.04 new_esEs2(Just(xx3000), Just(xx4000), app(app(app(ty_@3, bcc), bcd), bce)) -> new_esEs0(xx3000, xx4000, bcc, bcd, bce) 16.09/6.04 new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), app(app(app(ty_@3, eb), ec), ed), dh, ea) -> new_esEs0(xx3000, xx4000, eb, ec, ed) 16.09/6.04 new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), app(app(ty_@2, ee), ef), dh, ea) -> new_esEs1(xx3000, xx4000, ee, ef) 16.09/6.04 new_esEs(Left(xx3000), Left(xx4000), app(ty_[], cb), bc) -> new_esEs3(xx3000, xx4000, cb) 16.09/6.04 16.09/6.04 R is empty. 16.09/6.04 Q is empty. 16.09/6.04 We have to consider all minimal (P,Q,R)-chains. 16.09/6.04 ---------------------------------------- 16.09/6.04 16.09/6.04 (23) QDPSizeChangeProof (EQUIVALENT) 16.09/6.04 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. 16.09/6.04 16.09/6.04 From the DPs we obtained the following set of size-change graphs: 16.09/6.04 *new_esEs2(Just(xx3000), Just(xx4000), app(app(ty_Either, bca), bcb)) -> new_esEs(xx3000, xx4000, bca, bcb) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs2(Just(xx3000), Just(xx4000), app(ty_Maybe, bch)) -> new_esEs2(xx3000, xx4000, bch) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs2(Just(xx3000), Just(xx4000), app(app(app(ty_@3, bcc), bcd), bce)) -> new_esEs0(xx3000, xx4000, bcc, bcd, bce) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs3(:(xx3010, xx3011), :(xx4010, xx4011), app(app(ty_Either, cc), bc)) -> new_esEs(xx3010, xx4010, cc, bc) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs3(:(xx3010, xx3011), :(xx4010, xx4011), app(ty_Maybe, bdb)) -> new_esEs2(xx3010, xx4010, bdb) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs2(Just(xx3000), Just(xx4000), app(ty_[], bda)) -> new_esEs3(xx3000, xx4000, bda) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs2(Just(xx3000), Just(xx4000), app(app(ty_@2, bcf), bcg)) -> new_esEs1(xx3000, xx4000, bcf, bcg) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs3(:(xx3010, xx3011), :(xx4010, xx4011), app(app(app(ty_@3, fa), dh), ea)) -> new_esEs0(xx3010, xx4010, fa, dh, ea) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs3(:(xx3010, xx3011), :(xx4010, xx4011), app(app(ty_@2, bag), hg)) -> new_esEs1(xx3010, xx4010, bag, hg) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), app(app(ty_Either, df), dg), dh, ea) -> new_esEs(xx3000, xx4000, df, dg) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), fa, dh, app(app(ty_Either, gd), ge)) -> new_esEs(xx3002, xx4002, gd, ge) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), fa, app(app(ty_Either, fb), fc), ea) -> new_esEs(xx3001, xx4001, fb, fc) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), fa, app(ty_Maybe, gb), ea) -> new_esEs2(xx3001, xx4001, gb) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), app(ty_Maybe, eg), dh, ea) -> new_esEs2(xx3000, xx4000, eg) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), fa, dh, app(ty_Maybe, hc)) -> new_esEs2(xx3002, xx4002, hc) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), fa, app(app(app(ty_@3, fd), ff), fg), ea) -> new_esEs0(xx3001, xx4001, fd, ff, fg) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), fa, dh, app(app(app(ty_@3, gf), gg), gh)) -> new_esEs0(xx3002, xx4002, gf, gg, gh) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), app(app(app(ty_@3, eb), ec), ed), dh, ea) -> new_esEs0(xx3000, xx4000, eb, ec, ed) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), fa, dh, app(ty_[], hd)) -> new_esEs3(xx3002, xx4002, hd) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), fa, app(ty_[], gc), ea) -> new_esEs3(xx3001, xx4001, gc) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), app(ty_[], eh), dh, ea) -> new_esEs3(xx3000, xx4000, eh) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), fa, dh, app(app(ty_@2, ha), hb)) -> new_esEs1(xx3002, xx4002, ha, hb) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), fa, app(app(ty_@2, fh), ga), ea) -> new_esEs1(xx3001, xx4001, fh, ga) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), app(app(ty_@2, ee), ef), dh, ea) -> new_esEs1(xx3000, xx4000, ee, ef) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), bag, app(app(ty_Either, bah), bba)) -> new_esEs(xx3001, xx4001, bah, bba) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), app(app(ty_Either, he), hf), hg) -> new_esEs(xx3000, xx4000, he, hf) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs(Right(xx3000), Right(xx4000), cc, app(app(ty_Either, cd), ce)) -> new_esEs(xx3000, xx4000, cd, ce) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs(Left(xx3000), Left(xx4000), app(app(ty_Either, ba), bb), bc) -> new_esEs(xx3000, xx4000, ba, bb) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), bag, app(ty_Maybe, bbg)) -> new_esEs2(xx3001, xx4001, bbg) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), app(ty_Maybe, bae), hg) -> new_esEs2(xx3000, xx4000, bae) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), app(app(app(ty_@3, hh), baa), bab), hg) -> new_esEs0(xx3000, xx4000, hh, baa, bab) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), bag, app(app(app(ty_@3, bbb), bbc), bbd)) -> new_esEs0(xx3001, xx4001, bbb, bbc, bbd) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), app(ty_[], baf), hg) -> new_esEs3(xx3000, xx4000, baf) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), bag, app(ty_[], bbh)) -> new_esEs3(xx3001, xx4001, bbh) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), app(app(ty_@2, bac), bad), hg) -> new_esEs1(xx3000, xx4000, bac, bad) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), bag, app(app(ty_@2, bbe), bbf)) -> new_esEs1(xx3001, xx4001, bbe, bbf) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs(Left(xx3000), Left(xx4000), app(ty_Maybe, ca), bc) -> new_esEs2(xx3000, xx4000, ca) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs(Right(xx3000), Right(xx4000), cc, app(ty_Maybe, dd)) -> new_esEs2(xx3000, xx4000, dd) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs(Left(xx3000), Left(xx4000), app(app(app(ty_@3, bd), be), bf), bc) -> new_esEs0(xx3000, xx4000, bd, be, bf) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs(Right(xx3000), Right(xx4000), cc, app(app(app(ty_@3, cf), cg), da)) -> new_esEs0(xx3000, xx4000, cf, cg, da) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs(Right(xx3000), Right(xx4000), cc, app(ty_[], de)) -> new_esEs3(xx3000, xx4000, de) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs(Left(xx3000), Left(xx4000), app(ty_[], cb), bc) -> new_esEs3(xx3000, xx4000, cb) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs(Right(xx3000), Right(xx4000), cc, app(app(ty_@2, db), dc)) -> new_esEs1(xx3000, xx4000, db, dc) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs(Left(xx3000), Left(xx4000), app(app(ty_@2, bg), bh), bc) -> new_esEs1(xx3000, xx4000, bg, bh) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs3(:(xx3010, xx3011), :(xx4010, xx4011), app(ty_[], bdc)) -> new_esEs3(xx3010, xx4010, bdc) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 16.09/6.04 16.09/6.04 16.09/6.04 *new_esEs3(:(xx3010, xx3011), :(xx4010, xx4011), bdd) -> new_esEs3(xx3011, xx4011, bdd) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 16.09/6.04 16.09/6.04 16.09/6.04 ---------------------------------------- 16.09/6.04 16.09/6.04 (24) 16.09/6.04 YES 16.09/6.04 16.09/6.04 ---------------------------------------- 16.09/6.04 16.09/6.04 (25) 16.09/6.04 Obligation: 16.09/6.04 Q DP problem: 16.09/6.04 The TRS P consists of the following rules: 16.09/6.04 16.09/6.04 new_foldr(xx4, :(xx30, xx31), ba) -> new_foldr(xx4, xx31, ba) 16.09/6.04 16.09/6.04 R is empty. 16.09/6.04 Q is empty. 16.09/6.04 We have to consider all minimal (P,Q,R)-chains. 16.09/6.04 ---------------------------------------- 16.09/6.04 16.09/6.04 (26) QDPSizeChangeProof (EQUIVALENT) 16.09/6.04 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. 16.09/6.04 16.09/6.04 From the DPs we obtained the following set of size-change graphs: 16.09/6.04 *new_foldr(xx4, :(xx30, xx31), ba) -> new_foldr(xx4, xx31, ba) 16.09/6.04 The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3 16.09/6.04 16.09/6.04 16.09/6.04 ---------------------------------------- 16.09/6.04 16.09/6.04 (27) 16.09/6.04 YES 16.09/6.04 16.09/6.04 ---------------------------------------- 16.09/6.04 16.09/6.04 (28) 16.09/6.04 Obligation: 16.09/6.04 Q DP problem: 16.09/6.04 The TRS P consists of the following rules: 16.09/6.04 16.09/6.04 new_primMulNat(Succ(xx300100), Succ(xx400000)) -> new_primMulNat(xx300100, Succ(xx400000)) 16.09/6.04 16.09/6.04 R is empty. 16.09/6.04 Q is empty. 16.09/6.04 We have to consider all minimal (P,Q,R)-chains. 16.09/6.04 ---------------------------------------- 16.09/6.04 16.09/6.04 (29) QDPSizeChangeProof (EQUIVALENT) 16.09/6.04 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. 16.09/6.04 16.09/6.04 From the DPs we obtained the following set of size-change graphs: 16.09/6.04 *new_primMulNat(Succ(xx300100), Succ(xx400000)) -> new_primMulNat(xx300100, Succ(xx400000)) 16.09/6.04 The graph contains the following edges 1 > 1, 2 >= 2 16.09/6.04 16.09/6.04 16.09/6.04 ---------------------------------------- 16.09/6.04 16.09/6.04 (30) 16.09/6.04 YES 16.09/6.04 16.09/6.04 ---------------------------------------- 16.09/6.04 16.09/6.04 (31) 16.09/6.04 Obligation: 16.09/6.04 Q DP problem: 16.09/6.04 The TRS P consists of the following rules: 16.09/6.04 16.09/6.04 new_primPlusNat(Succ(xx3300), Succ(xx4000000)) -> new_primPlusNat(xx3300, xx4000000) 16.09/6.04 16.09/6.04 R is empty. 16.09/6.04 Q is empty. 16.09/6.04 We have to consider all minimal (P,Q,R)-chains. 16.09/6.04 ---------------------------------------- 16.09/6.04 16.09/6.04 (32) QDPSizeChangeProof (EQUIVALENT) 16.09/6.04 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. 16.09/6.04 16.09/6.04 From the DPs we obtained the following set of size-change graphs: 16.09/6.04 *new_primPlusNat(Succ(xx3300), Succ(xx4000000)) -> new_primPlusNat(xx3300, xx4000000) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2 16.09/6.04 16.09/6.04 16.09/6.04 ---------------------------------------- 16.09/6.04 16.09/6.04 (33) 16.09/6.04 YES 16.09/6.04 16.09/6.04 ---------------------------------------- 16.09/6.04 16.09/6.04 (34) 16.09/6.04 Obligation: 16.09/6.04 Q DP problem: 16.09/6.04 The TRS P consists of the following rules: 16.09/6.04 16.09/6.04 new_primEqNat(Succ(xx30000), Succ(xx40000)) -> new_primEqNat(xx30000, xx40000) 16.09/6.04 16.09/6.04 R is empty. 16.09/6.04 Q is empty. 16.09/6.04 We have to consider all minimal (P,Q,R)-chains. 16.09/6.04 ---------------------------------------- 16.09/6.04 16.09/6.04 (35) QDPSizeChangeProof (EQUIVALENT) 16.09/6.04 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. 16.09/6.04 16.09/6.04 From the DPs we obtained the following set of size-change graphs: 16.09/6.04 *new_primEqNat(Succ(xx30000), Succ(xx40000)) -> new_primEqNat(xx30000, xx40000) 16.09/6.04 The graph contains the following edges 1 > 1, 2 > 2 16.09/6.04 16.09/6.04 16.09/6.04 ---------------------------------------- 16.09/6.04 16.09/6.04 (36) 16.09/6.04 YES 16.09/6.10 EOF