13.69/5.66	YES
15.63/6.25	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
15.63/6.25	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
15.63/6.25	
15.63/6.25	
15.63/6.25	H-Termination with start terms of the given HASKELL could be proven:
15.63/6.25	
15.63/6.25	(0) HASKELL
15.63/6.25	(1) LR [EQUIVALENT, 0 ms]
15.63/6.25	(2) HASKELL
15.63/6.25	(3) BR [EQUIVALENT, 0 ms]
15.63/6.25	(4) HASKELL
15.63/6.25	(5) COR [EQUIVALENT, 0 ms]
15.63/6.25	(6) HASKELL
15.63/6.25	(7) Narrow [SOUND, 0 ms]
15.63/6.25	(8) AND
15.63/6.25	    (9) QDP
15.63/6.25	        (10) TransformationProof [EQUIVALENT, 4 ms]
15.63/6.25	        (11) QDP
15.63/6.25	        (12) TransformationProof [EQUIVALENT, 0 ms]
15.63/6.25	        (13) QDP
15.63/6.25	        (14) TransformationProof [EQUIVALENT, 0 ms]
15.63/6.25	        (15) QDP
15.63/6.25	        (16) QDPSizeChangeProof [EQUIVALENT, 0 ms]
15.63/6.25	        (17) YES
15.63/6.25	    (18) QDP
15.63/6.25	        (19) TransformationProof [EQUIVALENT, 0 ms]
15.63/6.25	        (20) QDP
15.63/6.25	        (21) TransformationProof [EQUIVALENT, 0 ms]
15.63/6.25	        (22) QDP
15.63/6.25	        (23) QDPSizeChangeProof [EQUIVALENT, 0 ms]
15.63/6.25	        (24) YES
15.63/6.25	    (25) QDP
15.63/6.25	        (26) TransformationProof [EQUIVALENT, 0 ms]
15.63/6.25	        (27) QDP
15.63/6.25	        (28) TransformationProof [EQUIVALENT, 0 ms]
15.63/6.25	        (29) QDP
15.63/6.25	        (30) TransformationProof [EQUIVALENT, 0 ms]
15.63/6.25	        (31) QDP
15.63/6.25	        (32) TransformationProof [EQUIVALENT, 0 ms]
15.63/6.25	        (33) QDP
15.63/6.25	        (34) TransformationProof [EQUIVALENT, 0 ms]
15.63/6.25	        (35) QDP
15.63/6.25	        (36) TransformationProof [EQUIVALENT, 0 ms]
15.63/6.25	        (37) QDP
15.63/6.25	        (38) TransformationProof [EQUIVALENT, 0 ms]
15.63/6.25	        (39) QDP
15.63/6.25	        (40) QDPSizeChangeProof [EQUIVALENT, 0 ms]
15.63/6.25	        (41) YES
15.63/6.25	    (42) QDP
15.63/6.25	        (43) DependencyGraphProof [EQUIVALENT, 0 ms]
15.63/6.25	        (44) AND
15.63/6.25	            (45) QDP
15.63/6.25	                (46) QDPSizeChangeProof [EQUIVALENT, 0 ms]
15.63/6.25	                (47) YES
15.63/6.25	            (48) QDP
15.63/6.25	                (49) QDPSizeChangeProof [EQUIVALENT, 0 ms]
15.63/6.25	                (50) YES
15.63/6.25	
15.63/6.25	
15.63/6.25	----------------------------------------
15.63/6.25	
15.63/6.25	(0)
15.63/6.25	Obligation:
15.63/6.25	mainModule Main 
15.63/6.25	module FiniteMap where {
15.63/6.25	import qualified Main;
15.63/6.25	import qualified Maybe;
15.63/6.25	import qualified Prelude;
15.63/6.25	data FiniteMap a b = EmptyFM  | Branch a b Int (FiniteMap a b) (FiniteMap a b) ;
15.63/6.25	
15.63/6.25	instance (Eq a, Eq b) => Eq FiniteMap b a where { 
15.63/6.25	}
15.63/6.25	fmToList_LE :: Ord b => FiniteMap b a  ->  b  ->  [(b,a)];
15.63/6.25	fmToList_LE fm fr = foldFM_LE (\key elt rest ->(key,elt) : rest) [] fr fm;
15.63/6.25	
15.63/6.25	foldFM_LE :: Ord c => (c  ->  a  ->  b  ->  b)  ->  b  ->  c  ->  FiniteMap c a  ->  b;
15.63/6.25	foldFM_LE k z fr EmptyFM = z;
15.63/6.25	foldFM_LE k z fr (Branch key elt _ fm_l fm_r)  | key <= fr = foldFM_LE k (k key elt (foldFM_LE k z fr fm_l)) fr fm_r
15.63/6.25	 | otherwise = foldFM_LE k z fr fm_l;
15.63/6.25	
15.63/6.25	}
15.63/6.25	module Maybe where {
15.63/6.25	import qualified FiniteMap;
15.63/6.25	import qualified Main;
15.63/6.25	import qualified Prelude;
15.63/6.25	}
15.63/6.25	module Main where {
15.63/6.25	import qualified FiniteMap;
15.63/6.25	import qualified Maybe;
15.63/6.25	import qualified Prelude;
15.63/6.25	}
15.63/6.25	
15.63/6.25	----------------------------------------
15.63/6.25	
15.63/6.25	(1) LR (EQUIVALENT)
15.63/6.25	Lambda Reductions:
15.63/6.25	The following Lambda expression
15.63/6.25	"\keyeltrest->(key,elt) : rest"
15.63/6.25	is transformed to
15.63/6.25	"fmToList_LE0 key elt rest = (key,elt) : rest;
15.63/6.25	"
15.63/6.25	
15.63/6.25	----------------------------------------
15.63/6.25	
15.63/6.25	(2)
15.63/6.25	Obligation:
15.63/6.25	mainModule Main 
15.63/6.25	module FiniteMap where {
15.63/6.25	import qualified Main;
15.63/6.25	import qualified Maybe;
15.63/6.25	import qualified Prelude;
15.63/6.25	data FiniteMap a b = EmptyFM  | Branch a b Int (FiniteMap a b) (FiniteMap a b) ;
15.63/6.25	
15.63/6.25	instance (Eq a, Eq b) => Eq FiniteMap a b where { 
15.63/6.25	}
15.63/6.25	fmToList_LE :: Ord b => FiniteMap b a  ->  b  ->  [(b,a)];
15.63/6.25	fmToList_LE fm fr = foldFM_LE fmToList_LE0 [] fr fm;
15.63/6.25	
15.63/6.25	fmToList_LE0 key elt rest = (key,elt) : rest;
15.63/6.25	
15.63/6.25	foldFM_LE :: Ord c => (c  ->  a  ->  b  ->  b)  ->  b  ->  c  ->  FiniteMap c a  ->  b;
15.63/6.25	foldFM_LE k z fr EmptyFM = z;
15.63/6.25	foldFM_LE k z fr (Branch key elt _ fm_l fm_r)  | key <= fr = foldFM_LE k (k key elt (foldFM_LE k z fr fm_l)) fr fm_r
15.63/6.25	 | otherwise = foldFM_LE k z fr fm_l;
15.63/6.25	
15.63/6.25	}
15.63/6.25	module Maybe where {
15.63/6.25	import qualified FiniteMap;
15.63/6.25	import qualified Main;
15.63/6.25	import qualified Prelude;
15.63/6.25	}
15.63/6.25	module Main where {
15.63/6.25	import qualified FiniteMap;
15.63/6.25	import qualified Maybe;
15.63/6.25	import qualified Prelude;
15.63/6.25	}
15.63/6.25	
15.63/6.25	----------------------------------------
15.63/6.25	
15.63/6.25	(3) BR (EQUIVALENT)
15.63/6.25	Replaced joker patterns by fresh variables and removed binding patterns.
15.63/6.25	----------------------------------------
15.63/6.25	
15.63/6.25	(4)
15.63/6.25	Obligation:
15.63/6.25	mainModule Main 
15.63/6.25	module FiniteMap where {
15.63/6.25	import qualified Main;
15.63/6.25	import qualified Maybe;
15.63/6.25	import qualified Prelude;
15.63/6.25	data FiniteMap a b = EmptyFM  | Branch a b Int (FiniteMap a b) (FiniteMap a b) ;
15.63/6.25	
15.63/6.25	instance (Eq a, Eq b) => Eq FiniteMap b a where { 
15.63/6.25	}
15.63/6.25	fmToList_LE :: Ord a => FiniteMap a b  ->  a  ->  [(a,b)];
15.63/6.25	fmToList_LE fm fr = foldFM_LE fmToList_LE0 [] fr fm;
15.63/6.25	
15.63/6.25	fmToList_LE0 key elt rest = (key,elt) : rest;
15.63/6.25	
15.63/6.25	foldFM_LE :: Ord a => (a  ->  c  ->  b  ->  b)  ->  b  ->  a  ->  FiniteMap a c  ->  b;
15.63/6.25	foldFM_LE k z fr EmptyFM = z;
15.63/6.25	foldFM_LE k z fr (Branch key elt vy fm_l fm_r)  | key <= fr = foldFM_LE k (k key elt (foldFM_LE k z fr fm_l)) fr fm_r
15.63/6.25	 | otherwise = foldFM_LE k z fr fm_l;
15.63/6.25	
15.63/6.25	}
15.63/6.25	module Maybe where {
15.63/6.25	import qualified FiniteMap;
15.63/6.25	import qualified Main;
15.63/6.25	import qualified Prelude;
15.63/6.25	}
15.63/6.25	module Main where {
15.63/6.25	import qualified FiniteMap;
15.63/6.25	import qualified Maybe;
15.63/6.25	import qualified Prelude;
15.63/6.25	}
15.63/6.25	
15.63/6.25	----------------------------------------
15.63/6.25	
15.63/6.25	(5) COR (EQUIVALENT)
15.63/6.25	Cond Reductions:
15.63/6.25	The following Function with conditions
15.63/6.25	"undefined |Falseundefined;
15.63/6.25	"
15.63/6.25	is transformed to
15.63/6.25	"undefined  = undefined1;
15.63/6.25	"
15.63/6.25	"undefined0 True = undefined;
15.63/6.25	"
15.63/6.25	"undefined1  = undefined0 False;
15.63/6.25	"
15.63/6.25	The following Function with conditions
15.63/6.25	"foldFM_LE k z fr EmptyFM = z;
15.63/6.25	foldFM_LE k z fr (Branch key elt vy fm_l fm_r)|key <= frfoldFM_LE k (k key elt (foldFM_LE k z fr fm_l)) fr fm_r|otherwisefoldFM_LE k z fr fm_l;
15.63/6.25	"
15.63/6.25	is transformed to
15.63/6.25	"foldFM_LE k z fr EmptyFM = foldFM_LE3 k z fr EmptyFM;
15.63/6.25	foldFM_LE k z fr (Branch key elt vy fm_l fm_r) = foldFM_LE2 k z fr (Branch key elt vy fm_l fm_r);
15.63/6.25	"
15.63/6.25	"foldFM_LE0 k z fr key elt vy fm_l fm_r True = foldFM_LE k z fr fm_l;
15.63/6.25	"
15.63/6.25	"foldFM_LE1 k z fr key elt vy fm_l fm_r True = foldFM_LE k (k key elt (foldFM_LE k z fr fm_l)) fr fm_r;
15.63/6.25	foldFM_LE1 k z fr key elt vy fm_l fm_r False = foldFM_LE0 k z fr key elt vy fm_l fm_r otherwise;
15.63/6.25	"
15.63/6.25	"foldFM_LE2 k z fr (Branch key elt vy fm_l fm_r) = foldFM_LE1 k z fr key elt vy fm_l fm_r (key <= fr);
15.63/6.25	"
15.63/6.25	"foldFM_LE3 k z fr EmptyFM = z;
15.63/6.25	foldFM_LE3 wv ww wx wy = foldFM_LE2 wv ww wx wy;
15.63/6.25	"
15.63/6.25	
15.63/6.25	----------------------------------------
15.63/6.25	
15.63/6.25	(6)
15.63/6.25	Obligation:
15.63/6.25	mainModule Main 
15.63/6.25	module FiniteMap where {
15.63/6.25	import qualified Main;
15.63/6.25	import qualified Maybe;
15.63/6.25	import qualified Prelude;
15.63/6.25	data FiniteMap a b = EmptyFM  | Branch a b Int (FiniteMap a b) (FiniteMap a b) ;
15.63/6.25	
15.63/6.25	instance (Eq a, Eq b) => Eq FiniteMap a b where { 
15.63/6.25	}
15.63/6.25	fmToList_LE :: Ord a => FiniteMap a b  ->  a  ->  [(a,b)];
15.63/6.25	fmToList_LE fm fr = foldFM_LE fmToList_LE0 [] fr fm;
15.63/6.25	
15.63/6.25	fmToList_LE0 key elt rest = (key,elt) : rest;
15.63/6.25	
15.63/6.25	foldFM_LE :: Ord a => (a  ->  c  ->  b  ->  b)  ->  b  ->  a  ->  FiniteMap a c  ->  b;
15.63/6.25	foldFM_LE k z fr EmptyFM = foldFM_LE3 k z fr EmptyFM;
15.63/6.25	foldFM_LE k z fr (Branch key elt vy fm_l fm_r) = foldFM_LE2 k z fr (Branch key elt vy fm_l fm_r);
15.63/6.25	
15.63/6.25	foldFM_LE0 k z fr key elt vy fm_l fm_r True = foldFM_LE k z fr fm_l;
15.63/6.25	
15.63/6.25	foldFM_LE1 k z fr key elt vy fm_l fm_r True = foldFM_LE k (k key elt (foldFM_LE k z fr fm_l)) fr fm_r;
15.63/6.25	foldFM_LE1 k z fr key elt vy fm_l fm_r False = foldFM_LE0 k z fr key elt vy fm_l fm_r otherwise;
15.63/6.25	
15.63/6.25	foldFM_LE2 k z fr (Branch key elt vy fm_l fm_r) = foldFM_LE1 k z fr key elt vy fm_l fm_r (key <= fr);
15.63/6.25	
15.63/6.25	foldFM_LE3 k z fr EmptyFM = z;
15.63/6.25	foldFM_LE3 wv ww wx wy = foldFM_LE2 wv ww wx wy;
15.63/6.25	
15.63/6.25	}
15.63/6.25	module Maybe where {
15.63/6.25	import qualified FiniteMap;
15.63/6.25	import qualified Main;
15.63/6.25	import qualified Prelude;
15.63/6.25	}
15.63/6.25	module Main where {
15.63/6.25	import qualified FiniteMap;
15.63/6.25	import qualified Maybe;
15.63/6.25	import qualified Prelude;
15.63/6.25	}
15.63/6.25	
15.63/6.25	----------------------------------------
15.63/6.25	
15.63/6.25	(7) Narrow (SOUND)
15.63/6.25	Haskell To QDPs
15.63/6.25	
15.63/6.25	digraph dp_graph {
15.63/6.25	node [outthreshold=100, inthreshold=100];1[label="FiniteMap.fmToList_LE",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
15.63/6.25	3[label="FiniteMap.fmToList_LE wz3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
15.63/6.25	4[label="FiniteMap.fmToList_LE wz3 wz4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3];
15.63/6.25	5[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 [] wz4 wz3",fontsize=16,color="burlywood",shape="triangle"];2593[label="wz3/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];5 -> 2593[label="",style="solid", color="burlywood", weight=9];
15.63/6.25	2593 -> 6[label="",style="solid", color="burlywood", weight=3];
15.63/6.25	2594[label="wz3/FiniteMap.Branch wz30 wz31 wz32 wz33 wz34",fontsize=10,color="white",style="solid",shape="box"];5 -> 2594[label="",style="solid", color="burlywood", weight=9];
15.63/6.25	2594 -> 7[label="",style="solid", color="burlywood", weight=3];
15.63/6.25	6[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 [] wz4 FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3];
15.63/6.25	7[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 [] wz4 (FiniteMap.Branch wz30 wz31 wz32 wz33 wz34)",fontsize=16,color="black",shape="box"];7 -> 9[label="",style="solid", color="black", weight=3];
15.63/6.25	8[label="FiniteMap.foldFM_LE3 FiniteMap.fmToList_LE0 [] wz4 FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];8 -> 10[label="",style="solid", color="black", weight=3];
15.63/6.25	9[label="FiniteMap.foldFM_LE2 FiniteMap.fmToList_LE0 [] wz4 (FiniteMap.Branch wz30 wz31 wz32 wz33 wz34)",fontsize=16,color="black",shape="box"];9 -> 11[label="",style="solid", color="black", weight=3];
15.63/6.25	10[label="[]",fontsize=16,color="green",shape="box"];11[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 [] wz4 wz30 wz31 wz32 wz33 wz34 (wz30 <= wz4)",fontsize=16,color="black",shape="box"];11 -> 12[label="",style="solid", color="black", weight=3];
15.63/6.25	12[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 [] wz4 wz30 wz31 wz32 wz33 wz34 (compare wz30 wz4 /= GT)",fontsize=16,color="black",shape="box"];12 -> 13[label="",style="solid", color="black", weight=3];
15.63/6.25	13[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 [] wz4 wz30 wz31 wz32 wz33 wz34 (not (compare wz30 wz4 == GT))",fontsize=16,color="black",shape="box"];13 -> 14[label="",style="solid", color="black", weight=3];
15.63/6.25	14[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 [] wz4 wz30 wz31 wz32 wz33 wz34 (not (primCmpInt wz30 wz4 == GT))",fontsize=16,color="burlywood",shape="box"];2595[label="wz30/Pos wz300",fontsize=10,color="white",style="solid",shape="box"];14 -> 2595[label="",style="solid", color="burlywood", weight=9];
15.63/6.25	2595 -> 15[label="",style="solid", color="burlywood", weight=3];
15.63/6.25	2596[label="wz30/Neg wz300",fontsize=10,color="white",style="solid",shape="box"];14 -> 2596[label="",style="solid", color="burlywood", weight=9];
15.63/6.25	2596 -> 16[label="",style="solid", color="burlywood", weight=3];
15.63/6.25	15[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 [] wz4 (Pos wz300) wz31 wz32 wz33 wz34 (not (primCmpInt (Pos wz300) wz4 == GT))",fontsize=16,color="burlywood",shape="box"];2597[label="wz300/Succ wz3000",fontsize=10,color="white",style="solid",shape="box"];15 -> 2597[label="",style="solid", color="burlywood", weight=9];
15.63/6.25	2597 -> 17[label="",style="solid", color="burlywood", weight=3];
15.63/6.25	2598[label="wz300/Zero",fontsize=10,color="white",style="solid",shape="box"];15 -> 2598[label="",style="solid", color="burlywood", weight=9];
15.63/6.25	2598 -> 18[label="",style="solid", color="burlywood", weight=3];
15.63/6.25	16[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 [] wz4 (Neg wz300) wz31 wz32 wz33 wz34 (not (primCmpInt (Neg wz300) wz4 == GT))",fontsize=16,color="burlywood",shape="box"];2599[label="wz300/Succ wz3000",fontsize=10,color="white",style="solid",shape="box"];16 -> 2599[label="",style="solid", color="burlywood", weight=9];
15.63/6.25	2599 -> 19[label="",style="solid", color="burlywood", weight=3];
15.63/6.25	2600[label="wz300/Zero",fontsize=10,color="white",style="solid",shape="box"];16 -> 2600[label="",style="solid", color="burlywood", weight=9];
15.63/6.25	2600 -> 20[label="",style="solid", color="burlywood", weight=3];
15.63/6.25	17[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 [] wz4 (Pos (Succ wz3000)) wz31 wz32 wz33 wz34 (not (primCmpInt (Pos (Succ wz3000)) wz4 == GT))",fontsize=16,color="burlywood",shape="box"];2601[label="wz4/Pos wz40",fontsize=10,color="white",style="solid",shape="box"];17 -> 2601[label="",style="solid", color="burlywood", weight=9];
15.63/6.25	2601 -> 21[label="",style="solid", color="burlywood", weight=3];
15.63/6.25	2602[label="wz4/Neg wz40",fontsize=10,color="white",style="solid",shape="box"];17 -> 2602[label="",style="solid", color="burlywood", weight=9];
15.63/6.25	2602 -> 22[label="",style="solid", color="burlywood", weight=3];
15.63/6.25	18[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 [] wz4 (Pos Zero) wz31 wz32 wz33 wz34 (not (primCmpInt (Pos Zero) wz4 == GT))",fontsize=16,color="burlywood",shape="box"];2603[label="wz4/Pos wz40",fontsize=10,color="white",style="solid",shape="box"];18 -> 2603[label="",style="solid", color="burlywood", weight=9];
15.63/6.25	2603 -> 23[label="",style="solid", color="burlywood", weight=3];
15.63/6.25	2604[label="wz4/Neg wz40",fontsize=10,color="white",style="solid",shape="box"];18 -> 2604[label="",style="solid", color="burlywood", weight=9];
15.63/6.25	2604 -> 24[label="",style="solid", color="burlywood", weight=3];
15.63/6.25	19[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 [] wz4 (Neg (Succ wz3000)) wz31 wz32 wz33 wz34 (not (primCmpInt (Neg (Succ wz3000)) wz4 == GT))",fontsize=16,color="burlywood",shape="box"];2605[label="wz4/Pos wz40",fontsize=10,color="white",style="solid",shape="box"];19 -> 2605[label="",style="solid", color="burlywood", weight=9];
15.63/6.25	2605 -> 25[label="",style="solid", color="burlywood", weight=3];
15.63/6.25	2606[label="wz4/Neg wz40",fontsize=10,color="white",style="solid",shape="box"];19 -> 2606[label="",style="solid", color="burlywood", weight=9];
15.63/6.25	2606 -> 26[label="",style="solid", color="burlywood", weight=3];
15.63/6.25	20[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 [] wz4 (Neg Zero) wz31 wz32 wz33 wz34 (not (primCmpInt (Neg Zero) wz4 == GT))",fontsize=16,color="burlywood",shape="box"];2607[label="wz4/Pos wz40",fontsize=10,color="white",style="solid",shape="box"];20 -> 2607[label="",style="solid", color="burlywood", weight=9];
15.63/6.25	2607 -> 27[label="",style="solid", color="burlywood", weight=3];
15.63/6.25	2608[label="wz4/Neg wz40",fontsize=10,color="white",style="solid",shape="box"];20 -> 2608[label="",style="solid", color="burlywood", weight=9];
15.63/6.25	2608 -> 28[label="",style="solid", color="burlywood", weight=3];
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15.63/6.25	2561[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 wz256 (Neg (Succ wz257)) (Neg (Succ wz258)) wz259 wz260 wz261 wz262 (not (primCmpNat Zero wz264 == GT))",fontsize=16,color="burlywood",shape="box"];2633[label="wz264/Succ wz2640",fontsize=10,color="white",style="solid",shape="box"];2561 -> 2633[label="",style="solid", color="burlywood", weight=9];
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15.63/6.25	1916[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 wz189 (Pos (Succ wz190)) (Pos (Succ wz191)) wz192 wz193 wz194 wz195 (not (primCmpNat (Succ wz1960) Zero == GT))",fontsize=16,color="black",shape="box"];1916 -> 1933[label="",style="solid", color="black", weight=3];
15.63/6.25	1917[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 wz189 (Pos (Succ wz190)) (Pos (Succ wz191)) wz192 wz193 wz194 wz195 (not (primCmpNat Zero (Succ wz1970) == GT))",fontsize=16,color="black",shape="box"];1917 -> 1934[label="",style="solid", color="black", weight=3];
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15.63/6.25	117 -> 5[label="",style="dashed", color="red", weight=0];
15.63/6.25	117[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 [] (Neg Zero) wz33",fontsize=16,color="magenta"];117 -> 149[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	117 -> 150[label="",style="dashed", color="magenta", weight=3];
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15.63/6.25	2637 -> 151[label="",style="solid", color="burlywood", weight=3];
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15.63/6.25	121[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Neg (Succ wz3000)) wz31 wz5) (Pos wz40) (FiniteMap.Branch wz340 wz341 wz342 wz343 wz344)",fontsize=16,color="black",shape="box"];121 -> 154[label="",style="solid", color="black", weight=3];
15.63/6.25	2562[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 wz256 (Neg (Succ wz257)) (Neg (Succ wz258)) wz259 wz260 wz261 wz262 (not (primCmpNat (Succ wz2630) (Succ wz2640) == GT))",fontsize=16,color="black",shape="box"];2562 -> 2566[label="",style="solid", color="black", weight=3];
15.63/6.25	2563[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 wz256 (Neg (Succ wz257)) (Neg (Succ wz258)) wz259 wz260 wz261 wz262 (not (primCmpNat (Succ wz2630) Zero == GT))",fontsize=16,color="black",shape="box"];2563 -> 2567[label="",style="solid", color="black", weight=3];
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15.63/6.25	126 -> 160[label="",style="dashed", color="red", weight=0];
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15.63/6.25	128 -> 163[label="",style="dashed", color="magenta", weight=3];
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15.63/6.25	2639 -> 164[label="",style="solid", color="burlywood", weight=3];
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15.63/6.25	130 -> 5[label="",style="dashed", color="red", weight=0];
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15.63/6.25	130 -> 167[label="",style="dashed", color="magenta", weight=3];
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15.63/6.25	2641 -> 168[label="",style="solid", color="burlywood", weight=3];
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15.63/6.25	131[label="FiniteMap.foldFM_LE0 FiniteMap.fmToList_LE0 [] (Neg (Succ wz400)) (Neg Zero) wz31 wz32 wz33 wz34 otherwise",fontsize=16,color="black",shape="box"];131 -> 170[label="",style="solid", color="black", weight=3];
15.63/6.25	133 -> 5[label="",style="dashed", color="red", weight=0];
15.63/6.25	133[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 [] (Neg Zero) wz33",fontsize=16,color="magenta"];133 -> 171[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	133 -> 172[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	132[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Neg Zero) wz31 wz10) (Neg Zero) wz34",fontsize=16,color="burlywood",shape="triangle"];2643[label="wz34/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];132 -> 2643[label="",style="solid", color="burlywood", weight=9];
15.63/6.25	2643 -> 173[label="",style="solid", color="burlywood", weight=3];
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15.63/6.25	1932[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 wz189 (Pos (Succ wz190)) (Pos (Succ wz191)) wz192 wz193 wz194 wz195 (not (primCmpNat wz1960 wz1970 == GT))",fontsize=16,color="magenta"];1932 -> 1944[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	1932 -> 1945[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	1933[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 wz189 (Pos (Succ wz190)) (Pos (Succ wz191)) wz192 wz193 wz194 wz195 (not (GT == GT))",fontsize=16,color="black",shape="box"];1933 -> 1946[label="",style="solid", color="black", weight=3];
15.63/6.25	1934[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 wz189 (Pos (Succ wz190)) (Pos (Succ wz191)) wz192 wz193 wz194 wz195 (not (LT == GT))",fontsize=16,color="black",shape="box"];1934 -> 1947[label="",style="solid", color="black", weight=3];
15.63/6.25	1935[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 wz189 (Pos (Succ wz190)) (Pos (Succ wz191)) wz192 wz193 wz194 wz195 (not (EQ == GT))",fontsize=16,color="black",shape="box"];1935 -> 1948[label="",style="solid", color="black", weight=3];
15.63/6.25	139[label="FiniteMap.foldFM_LE0 FiniteMap.fmToList_LE0 [] (Pos Zero) (Pos (Succ wz3000)) wz31 wz32 wz33 wz34 True",fontsize=16,color="black",shape="box"];139 -> 182[label="",style="solid", color="black", weight=3];
15.63/6.25	140[label="Neg wz40",fontsize=16,color="green",shape="box"];141[label="wz33",fontsize=16,color="green",shape="box"];143 -> 5[label="",style="dashed", color="red", weight=0];
15.63/6.25	143[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 [] (Pos (Succ wz400)) wz33",fontsize=16,color="magenta"];143 -> 183[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	143 -> 184[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	142[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Pos Zero) wz31 wz11) (Pos (Succ wz400)) wz34",fontsize=16,color="burlywood",shape="triangle"];2645[label="wz34/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];142 -> 2645[label="",style="solid", color="burlywood", weight=9];
15.63/6.25	2645 -> 185[label="",style="solid", color="burlywood", weight=3];
15.63/6.25	2646[label="wz34/FiniteMap.Branch wz340 wz341 wz342 wz343 wz344",fontsize=10,color="white",style="solid",shape="box"];142 -> 2646[label="",style="solid", color="burlywood", weight=9];
15.63/6.25	2646 -> 186[label="",style="solid", color="burlywood", weight=3];
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15.63/6.25	147[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Pos Zero) wz31 wz6) (Pos Zero) (FiniteMap.Branch wz340 wz341 wz342 wz343 wz344)",fontsize=16,color="black",shape="box"];147 -> 188[label="",style="solid", color="black", weight=3];
15.63/6.25	148 -> 1351[label="",style="dashed", color="red", weight=0];
15.63/6.25	148[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 [] (Neg (Succ wz400)) wz33",fontsize=16,color="magenta"];148 -> 1352[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	148 -> 1353[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	148 -> 1354[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	149[label="Neg Zero",fontsize=16,color="green",shape="box"];150[label="wz33",fontsize=16,color="green",shape="box"];151[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Pos Zero) wz31 wz7) (Neg Zero) FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];151 -> 191[label="",style="solid", color="black", weight=3];
15.63/6.25	152[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Pos Zero) wz31 wz7) (Neg Zero) (FiniteMap.Branch wz340 wz341 wz342 wz343 wz344)",fontsize=16,color="black",shape="box"];152 -> 192[label="",style="solid", color="black", weight=3];
15.63/6.25	153[label="FiniteMap.foldFM_LE3 FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Neg (Succ wz3000)) wz31 wz5) (Pos wz40) FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];153 -> 193[label="",style="solid", color="black", weight=3];
15.63/6.25	154[label="FiniteMap.foldFM_LE2 FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Neg (Succ wz3000)) wz31 wz5) (Pos wz40) (FiniteMap.Branch wz340 wz341 wz342 wz343 wz344)",fontsize=16,color="black",shape="box"];154 -> 194[label="",style="solid", color="black", weight=3];
15.63/6.25	2566 -> 2433[label="",style="dashed", color="red", weight=0];
15.63/6.25	2566[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 wz256 (Neg (Succ wz257)) (Neg (Succ wz258)) wz259 wz260 wz261 wz262 (not (primCmpNat wz2630 wz2640 == GT))",fontsize=16,color="magenta"];2566 -> 2570[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	2566 -> 2571[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	2567[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 wz256 (Neg (Succ wz257)) (Neg (Succ wz258)) wz259 wz260 wz261 wz262 (not (GT == GT))",fontsize=16,color="black",shape="box"];2567 -> 2572[label="",style="solid", color="black", weight=3];
15.63/6.25	2568[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 wz256 (Neg (Succ wz257)) (Neg (Succ wz258)) wz259 wz260 wz261 wz262 (not (LT == GT))",fontsize=16,color="black",shape="box"];2568 -> 2573[label="",style="solid", color="black", weight=3];
15.63/6.25	2569[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 wz256 (Neg (Succ wz257)) (Neg (Succ wz258)) wz259 wz260 wz261 wz262 (not (EQ == GT))",fontsize=16,color="black",shape="box"];2569 -> 2574[label="",style="solid", color="black", weight=3];
15.63/6.25	161 -> 5[label="",style="dashed", color="red", weight=0];
15.63/6.25	161[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 [] (Neg Zero) wz33",fontsize=16,color="magenta"];161 -> 202[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	161 -> 203[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	160[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Neg (Succ wz3000)) wz31 wz12) (Neg Zero) wz34",fontsize=16,color="burlywood",shape="triangle"];2647[label="wz34/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];160 -> 2647[label="",style="solid", color="burlywood", weight=9];
15.63/6.25	2647 -> 204[label="",style="solid", color="burlywood", weight=3];
15.63/6.25	2648[label="wz34/FiniteMap.Branch wz340 wz341 wz342 wz343 wz344",fontsize=10,color="white",style="solid",shape="box"];160 -> 2648[label="",style="solid", color="burlywood", weight=9];
15.63/6.25	2648 -> 205[label="",style="solid", color="burlywood", weight=3];
15.63/6.25	162[label="Pos (Succ wz400)",fontsize=16,color="green",shape="box"];163[label="wz33",fontsize=16,color="green",shape="box"];164[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Neg Zero) wz31 wz8) (Pos (Succ wz400)) FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];164 -> 206[label="",style="solid", color="black", weight=3];
15.63/6.25	165[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Neg Zero) wz31 wz8) (Pos (Succ wz400)) (FiniteMap.Branch wz340 wz341 wz342 wz343 wz344)",fontsize=16,color="black",shape="box"];165 -> 207[label="",style="solid", color="black", weight=3];
15.63/6.25	166[label="Pos Zero",fontsize=16,color="green",shape="box"];167[label="wz33",fontsize=16,color="green",shape="box"];168[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Neg Zero) wz31 wz9) (Pos Zero) FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];168 -> 208[label="",style="solid", color="black", weight=3];
15.63/6.25	169[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Neg Zero) wz31 wz9) (Pos Zero) (FiniteMap.Branch wz340 wz341 wz342 wz343 wz344)",fontsize=16,color="black",shape="box"];169 -> 209[label="",style="solid", color="black", weight=3];
15.63/6.25	170[label="FiniteMap.foldFM_LE0 FiniteMap.fmToList_LE0 [] (Neg (Succ wz400)) (Neg Zero) wz31 wz32 wz33 wz34 True",fontsize=16,color="black",shape="box"];170 -> 210[label="",style="solid", color="black", weight=3];
15.63/6.25	171[label="Neg Zero",fontsize=16,color="green",shape="box"];172[label="wz33",fontsize=16,color="green",shape="box"];173[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Neg Zero) wz31 wz10) (Neg Zero) FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];173 -> 211[label="",style="solid", color="black", weight=3];
15.63/6.25	174[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Neg Zero) wz31 wz10) (Neg Zero) (FiniteMap.Branch wz340 wz341 wz342 wz343 wz344)",fontsize=16,color="black",shape="box"];174 -> 212[label="",style="solid", color="black", weight=3];
15.63/6.25	1944[label="wz1970",fontsize=16,color="green",shape="box"];1945[label="wz1960",fontsize=16,color="green",shape="box"];1946[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 wz189 (Pos (Succ wz190)) (Pos (Succ wz191)) wz192 wz193 wz194 wz195 (not True)",fontsize=16,color="black",shape="box"];1946 -> 1959[label="",style="solid", color="black", weight=3];
15.63/6.25	1947[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 wz189 (Pos (Succ wz190)) (Pos (Succ wz191)) wz192 wz193 wz194 wz195 (not False)",fontsize=16,color="black",shape="triangle"];1947 -> 1960[label="",style="solid", color="black", weight=3];
15.63/6.25	1948 -> 1947[label="",style="dashed", color="red", weight=0];
15.63/6.25	1948[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 wz189 (Pos (Succ wz190)) (Pos (Succ wz191)) wz192 wz193 wz194 wz195 (not False)",fontsize=16,color="magenta"];182 -> 5[label="",style="dashed", color="red", weight=0];
15.63/6.25	182[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 [] (Pos Zero) wz33",fontsize=16,color="magenta"];182 -> 220[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	182 -> 221[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	183[label="Pos (Succ wz400)",fontsize=16,color="green",shape="box"];184[label="wz33",fontsize=16,color="green",shape="box"];185[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Pos Zero) wz31 wz11) (Pos (Succ wz400)) FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];185 -> 222[label="",style="solid", color="black", weight=3];
15.63/6.25	186[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Pos Zero) wz31 wz11) (Pos (Succ wz400)) (FiniteMap.Branch wz340 wz341 wz342 wz343 wz344)",fontsize=16,color="black",shape="box"];186 -> 223[label="",style="solid", color="black", weight=3];
15.63/6.25	187[label="FiniteMap.foldFM_LE3 FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Pos Zero) wz31 wz6) (Pos Zero) FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];187 -> 224[label="",style="solid", color="black", weight=3];
15.63/6.25	188[label="FiniteMap.foldFM_LE2 FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Pos Zero) wz31 wz6) (Pos Zero) (FiniteMap.Branch wz340 wz341 wz342 wz343 wz344)",fontsize=16,color="black",shape="box"];188 -> 225[label="",style="solid", color="black", weight=3];
15.63/6.25	1352[label="wz33",fontsize=16,color="green",shape="box"];1353[label="[]",fontsize=16,color="green",shape="box"];1354[label="wz400",fontsize=16,color="green",shape="box"];1351[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 wz147 (Neg (Succ wz125)) wz130",fontsize=16,color="burlywood",shape="triangle"];2649[label="wz130/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];1351 -> 2649[label="",style="solid", color="burlywood", weight=9];
15.63/6.25	2649 -> 1423[label="",style="solid", color="burlywood", weight=3];
15.63/6.25	2650[label="wz130/FiniteMap.Branch wz1300 wz1301 wz1302 wz1303 wz1304",fontsize=10,color="white",style="solid",shape="box"];1351 -> 2650[label="",style="solid", color="burlywood", weight=9];
15.63/6.25	2650 -> 1424[label="",style="solid", color="burlywood", weight=3];
15.63/6.25	191 -> 277[label="",style="dashed", color="red", weight=0];
15.63/6.25	191[label="FiniteMap.foldFM_LE3 FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Pos Zero) wz31 wz7) (Neg Zero) FiniteMap.EmptyFM",fontsize=16,color="magenta"];191 -> 278[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	192 -> 283[label="",style="dashed", color="red", weight=0];
15.63/6.25	192[label="FiniteMap.foldFM_LE2 FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Pos Zero) wz31 wz7) (Neg Zero) (FiniteMap.Branch wz340 wz341 wz342 wz343 wz344)",fontsize=16,color="magenta"];192 -> 284[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	193[label="FiniteMap.fmToList_LE0 (Neg (Succ wz3000)) wz31 wz5",fontsize=16,color="black",shape="triangle"];193 -> 228[label="",style="solid", color="black", weight=3];
15.63/6.25	194 -> 229[label="",style="dashed", color="red", weight=0];
15.63/6.25	194[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Neg (Succ wz3000)) wz31 wz5) (Pos wz40) wz340 wz341 wz342 wz343 wz344 (wz340 <= Pos wz40)",fontsize=16,color="magenta"];194 -> 230[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	2570[label="wz2630",fontsize=16,color="green",shape="box"];2571[label="wz2640",fontsize=16,color="green",shape="box"];2572[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 wz256 (Neg (Succ wz257)) (Neg (Succ wz258)) wz259 wz260 wz261 wz262 (not True)",fontsize=16,color="black",shape="box"];2572 -> 2575[label="",style="solid", color="black", weight=3];
15.63/6.25	2573[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 wz256 (Neg (Succ wz257)) (Neg (Succ wz258)) wz259 wz260 wz261 wz262 (not False)",fontsize=16,color="black",shape="triangle"];2573 -> 2576[label="",style="solid", color="black", weight=3];
15.63/6.25	2574 -> 2573[label="",style="dashed", color="red", weight=0];
15.63/6.25	2574[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 wz256 (Neg (Succ wz257)) (Neg (Succ wz258)) wz259 wz260 wz261 wz262 (not False)",fontsize=16,color="magenta"];202[label="Neg Zero",fontsize=16,color="green",shape="box"];203[label="wz33",fontsize=16,color="green",shape="box"];204[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Neg (Succ wz3000)) wz31 wz12) (Neg Zero) FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];204 -> 240[label="",style="solid", color="black", weight=3];
15.63/6.25	205[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Neg (Succ wz3000)) wz31 wz12) (Neg Zero) (FiniteMap.Branch wz340 wz341 wz342 wz343 wz344)",fontsize=16,color="black",shape="box"];205 -> 241[label="",style="solid", color="black", weight=3];
15.63/6.25	206[label="FiniteMap.foldFM_LE3 FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Neg Zero) wz31 wz8) (Pos (Succ wz400)) FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];206 -> 242[label="",style="solid", color="black", weight=3];
15.63/6.25	207[label="FiniteMap.foldFM_LE2 FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Neg Zero) wz31 wz8) (Pos (Succ wz400)) (FiniteMap.Branch wz340 wz341 wz342 wz343 wz344)",fontsize=16,color="black",shape="box"];207 -> 243[label="",style="solid", color="black", weight=3];
15.63/6.25	208[label="FiniteMap.foldFM_LE3 FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Neg Zero) wz31 wz9) (Pos Zero) FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];208 -> 244[label="",style="solid", color="black", weight=3];
15.63/6.25	209[label="FiniteMap.foldFM_LE2 FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Neg Zero) wz31 wz9) (Pos Zero) (FiniteMap.Branch wz340 wz341 wz342 wz343 wz344)",fontsize=16,color="black",shape="box"];209 -> 245[label="",style="solid", color="black", weight=3];
15.63/6.25	210 -> 1351[label="",style="dashed", color="red", weight=0];
15.63/6.25	210[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 [] (Neg (Succ wz400)) wz33",fontsize=16,color="magenta"];210 -> 1355[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	210 -> 1356[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	210 -> 1357[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	211 -> 277[label="",style="dashed", color="red", weight=0];
15.63/6.25	211[label="FiniteMap.foldFM_LE3 FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Neg Zero) wz31 wz10) (Neg Zero) FiniteMap.EmptyFM",fontsize=16,color="magenta"];211 -> 279[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	212 -> 283[label="",style="dashed", color="red", weight=0];
15.63/6.25	212[label="FiniteMap.foldFM_LE2 FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Neg Zero) wz31 wz10) (Neg Zero) (FiniteMap.Branch wz340 wz341 wz342 wz343 wz344)",fontsize=16,color="magenta"];212 -> 285[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	1959[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 wz189 (Pos (Succ wz190)) (Pos (Succ wz191)) wz192 wz193 wz194 wz195 False",fontsize=16,color="black",shape="box"];1959 -> 1969[label="",style="solid", color="black", weight=3];
15.63/6.25	1960[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 wz189 (Pos (Succ wz190)) (Pos (Succ wz191)) wz192 wz193 wz194 wz195 True",fontsize=16,color="black",shape="box"];1960 -> 1970[label="",style="solid", color="black", weight=3];
15.63/6.25	220[label="Pos Zero",fontsize=16,color="green",shape="box"];221[label="wz33",fontsize=16,color="green",shape="box"];222[label="FiniteMap.foldFM_LE3 FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Pos Zero) wz31 wz11) (Pos (Succ wz400)) FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];222 -> 260[label="",style="solid", color="black", weight=3];
15.63/6.25	223[label="FiniteMap.foldFM_LE2 FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Pos Zero) wz31 wz11) (Pos (Succ wz400)) (FiniteMap.Branch wz340 wz341 wz342 wz343 wz344)",fontsize=16,color="black",shape="box"];223 -> 261[label="",style="solid", color="black", weight=3];
15.63/6.25	224[label="FiniteMap.fmToList_LE0 (Pos Zero) wz31 wz6",fontsize=16,color="black",shape="triangle"];224 -> 262[label="",style="solid", color="black", weight=3];
15.63/6.25	225 -> 229[label="",style="dashed", color="red", weight=0];
15.63/6.25	225[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Pos Zero) wz31 wz6) (Pos Zero) wz340 wz341 wz342 wz343 wz344 (wz340 <= Pos Zero)",fontsize=16,color="magenta"];225 -> 231[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	225 -> 232[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	1423[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 wz147 (Neg (Succ wz125)) FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];1423 -> 1512[label="",style="solid", color="black", weight=3];
15.63/6.25	1424[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 wz147 (Neg (Succ wz125)) (FiniteMap.Branch wz1300 wz1301 wz1302 wz1303 wz1304)",fontsize=16,color="black",shape="box"];1424 -> 1513[label="",style="solid", color="black", weight=3];
15.63/6.25	278 -> 224[label="",style="dashed", color="red", weight=0];
15.63/6.25	278[label="FiniteMap.fmToList_LE0 (Pos Zero) wz31 wz7",fontsize=16,color="magenta"];278 -> 281[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	277[label="FiniteMap.foldFM_LE3 FiniteMap.fmToList_LE0 wz19 (Neg Zero) FiniteMap.EmptyFM",fontsize=16,color="black",shape="triangle"];277 -> 282[label="",style="solid", color="black", weight=3];
15.63/6.25	284 -> 224[label="",style="dashed", color="red", weight=0];
15.63/6.25	284[label="FiniteMap.fmToList_LE0 (Pos Zero) wz31 wz7",fontsize=16,color="magenta"];284 -> 287[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	283[label="FiniteMap.foldFM_LE2 FiniteMap.fmToList_LE0 wz20 (Neg Zero) (FiniteMap.Branch wz340 wz341 wz342 wz343 wz344)",fontsize=16,color="black",shape="triangle"];283 -> 288[label="",style="solid", color="black", weight=3];
15.63/6.25	228[label="(Neg (Succ wz3000),wz31) : wz5",fontsize=16,color="green",shape="box"];230 -> 193[label="",style="dashed", color="red", weight=0];
15.63/6.25	230[label="FiniteMap.fmToList_LE0 (Neg (Succ wz3000)) wz31 wz5",fontsize=16,color="magenta"];229[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 wz13 (Pos wz40) wz340 wz341 wz342 wz343 wz344 (wz340 <= Pos wz40)",fontsize=16,color="black",shape="triangle"];229 -> 267[label="",style="solid", color="black", weight=3];
15.63/6.25	2575[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 wz256 (Neg (Succ wz257)) (Neg (Succ wz258)) wz259 wz260 wz261 wz262 False",fontsize=16,color="black",shape="box"];2575 -> 2577[label="",style="solid", color="black", weight=3];
15.63/6.25	2576[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 wz256 (Neg (Succ wz257)) (Neg (Succ wz258)) wz259 wz260 wz261 wz262 True",fontsize=16,color="black",shape="box"];2576 -> 2578[label="",style="solid", color="black", weight=3];
15.63/6.25	240 -> 277[label="",style="dashed", color="red", weight=0];
15.63/6.25	240[label="FiniteMap.foldFM_LE3 FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Neg (Succ wz3000)) wz31 wz12) (Neg Zero) FiniteMap.EmptyFM",fontsize=16,color="magenta"];240 -> 280[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	241 -> 283[label="",style="dashed", color="red", weight=0];
15.63/6.25	241[label="FiniteMap.foldFM_LE2 FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Neg (Succ wz3000)) wz31 wz12) (Neg Zero) (FiniteMap.Branch wz340 wz341 wz342 wz343 wz344)",fontsize=16,color="magenta"];241 -> 286[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	242[label="FiniteMap.fmToList_LE0 (Neg Zero) wz31 wz8",fontsize=16,color="black",shape="triangle"];242 -> 289[label="",style="solid", color="black", weight=3];
15.63/6.25	243 -> 229[label="",style="dashed", color="red", weight=0];
15.63/6.25	243[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Neg Zero) wz31 wz8) (Pos (Succ wz400)) wz340 wz341 wz342 wz343 wz344 (wz340 <= Pos (Succ wz400))",fontsize=16,color="magenta"];243 -> 290[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	243 -> 291[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	244 -> 242[label="",style="dashed", color="red", weight=0];
15.63/6.25	244[label="FiniteMap.fmToList_LE0 (Neg Zero) wz31 wz9",fontsize=16,color="magenta"];244 -> 292[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	245 -> 229[label="",style="dashed", color="red", weight=0];
15.63/6.25	245[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Neg Zero) wz31 wz9) (Pos Zero) wz340 wz341 wz342 wz343 wz344 (wz340 <= Pos Zero)",fontsize=16,color="magenta"];245 -> 293[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	245 -> 294[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	1355[label="wz33",fontsize=16,color="green",shape="box"];1356[label="[]",fontsize=16,color="green",shape="box"];1357[label="wz400",fontsize=16,color="green",shape="box"];279 -> 242[label="",style="dashed", color="red", weight=0];
15.63/6.25	279[label="FiniteMap.fmToList_LE0 (Neg Zero) wz31 wz10",fontsize=16,color="magenta"];279 -> 295[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	285 -> 242[label="",style="dashed", color="red", weight=0];
15.63/6.25	285[label="FiniteMap.fmToList_LE0 (Neg Zero) wz31 wz10",fontsize=16,color="magenta"];285 -> 296[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	1969[label="FiniteMap.foldFM_LE0 FiniteMap.fmToList_LE0 wz189 (Pos (Succ wz190)) (Pos (Succ wz191)) wz192 wz193 wz194 wz195 otherwise",fontsize=16,color="black",shape="box"];1969 -> 1983[label="",style="solid", color="black", weight=3];
15.63/6.25	1970 -> 652[label="",style="dashed", color="red", weight=0];
15.63/6.25	1970[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Pos (Succ wz191)) wz192 (FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 wz189 (Pos (Succ wz190)) wz194)) (Pos (Succ wz190)) wz195",fontsize=16,color="magenta"];1970 -> 1984[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	1970 -> 1985[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	1970 -> 1986[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	260 -> 224[label="",style="dashed", color="red", weight=0];
15.63/6.25	260[label="FiniteMap.fmToList_LE0 (Pos Zero) wz31 wz11",fontsize=16,color="magenta"];260 -> 313[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	261 -> 229[label="",style="dashed", color="red", weight=0];
15.63/6.25	261[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Pos Zero) wz31 wz11) (Pos (Succ wz400)) wz340 wz341 wz342 wz343 wz344 (wz340 <= Pos (Succ wz400))",fontsize=16,color="magenta"];261 -> 314[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	261 -> 315[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	262[label="(Pos Zero,wz31) : wz6",fontsize=16,color="green",shape="box"];231 -> 224[label="",style="dashed", color="red", weight=0];
15.63/6.25	231[label="FiniteMap.fmToList_LE0 (Pos Zero) wz31 wz6",fontsize=16,color="magenta"];232[label="Zero",fontsize=16,color="green",shape="box"];1512[label="FiniteMap.foldFM_LE3 FiniteMap.fmToList_LE0 wz147 (Neg (Succ wz125)) FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];1512 -> 1563[label="",style="solid", color="black", weight=3];
15.63/6.25	1513[label="FiniteMap.foldFM_LE2 FiniteMap.fmToList_LE0 wz147 (Neg (Succ wz125)) (FiniteMap.Branch wz1300 wz1301 wz1302 wz1303 wz1304)",fontsize=16,color="black",shape="box"];1513 -> 1564[label="",style="solid", color="black", weight=3];
15.63/6.25	281[label="wz7",fontsize=16,color="green",shape="box"];282[label="wz19",fontsize=16,color="green",shape="box"];287[label="wz7",fontsize=16,color="green",shape="box"];288[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 wz20 (Neg Zero) wz340 wz341 wz342 wz343 wz344 (wz340 <= Neg Zero)",fontsize=16,color="black",shape="box"];288 -> 333[label="",style="solid", color="black", weight=3];
15.63/6.25	267[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 wz13 (Pos wz40) wz340 wz341 wz342 wz343 wz344 (compare wz340 (Pos wz40) /= GT)",fontsize=16,color="black",shape="box"];267 -> 316[label="",style="solid", color="black", weight=3];
15.63/6.25	2577[label="FiniteMap.foldFM_LE0 FiniteMap.fmToList_LE0 wz256 (Neg (Succ wz257)) (Neg (Succ wz258)) wz259 wz260 wz261 wz262 otherwise",fontsize=16,color="black",shape="box"];2577 -> 2579[label="",style="solid", color="black", weight=3];
15.63/6.25	2578 -> 1351[label="",style="dashed", color="red", weight=0];
15.63/6.25	2578[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 (FiniteMap.fmToList_LE0 (Neg (Succ wz258)) wz259 (FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 wz256 (Neg (Succ wz257)) wz261)) (Neg (Succ wz257)) wz262",fontsize=16,color="magenta"];2578 -> 2580[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	2578 -> 2581[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	2578 -> 2582[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	280 -> 193[label="",style="dashed", color="red", weight=0];
15.63/6.25	280[label="FiniteMap.fmToList_LE0 (Neg (Succ wz3000)) wz31 wz12",fontsize=16,color="magenta"];280 -> 331[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	286 -> 193[label="",style="dashed", color="red", weight=0];
15.63/6.25	286[label="FiniteMap.fmToList_LE0 (Neg (Succ wz3000)) wz31 wz12",fontsize=16,color="magenta"];286 -> 332[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	289[label="(Neg Zero,wz31) : wz8",fontsize=16,color="green",shape="box"];290 -> 242[label="",style="dashed", color="red", weight=0];
15.63/6.25	290[label="FiniteMap.fmToList_LE0 (Neg Zero) wz31 wz8",fontsize=16,color="magenta"];291[label="Succ wz400",fontsize=16,color="green",shape="box"];292[label="wz9",fontsize=16,color="green",shape="box"];293 -> 242[label="",style="dashed", color="red", weight=0];
15.63/6.25	293[label="FiniteMap.fmToList_LE0 (Neg Zero) wz31 wz9",fontsize=16,color="magenta"];293 -> 334[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	294[label="Zero",fontsize=16,color="green",shape="box"];295[label="wz10",fontsize=16,color="green",shape="box"];296[label="wz10",fontsize=16,color="green",shape="box"];1983[label="FiniteMap.foldFM_LE0 FiniteMap.fmToList_LE0 wz189 (Pos (Succ wz190)) (Pos (Succ wz191)) wz192 wz193 wz194 wz195 True",fontsize=16,color="black",shape="box"];1983 -> 2001[label="",style="solid", color="black", weight=3];
15.63/6.25	1984 -> 2002[label="",style="dashed", color="red", weight=0];
15.63/6.25	1984[label="FiniteMap.fmToList_LE0 (Pos (Succ wz191)) wz192 (FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 wz189 (Pos (Succ wz190)) wz194)",fontsize=16,color="magenta"];1984 -> 2003[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	1985[label="Succ wz190",fontsize=16,color="green",shape="box"];1986[label="wz195",fontsize=16,color="green",shape="box"];652[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 wz13 (Pos wz40) wz343",fontsize=16,color="burlywood",shape="triangle"];2651[label="wz343/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];652 -> 2651[label="",style="solid", color="burlywood", weight=9];
15.63/6.25	2651 -> 750[label="",style="solid", color="burlywood", weight=3];
15.63/6.25	2652[label="wz343/FiniteMap.Branch wz3430 wz3431 wz3432 wz3433 wz3434",fontsize=10,color="white",style="solid",shape="box"];652 -> 2652[label="",style="solid", color="burlywood", weight=9];
15.63/6.25	2652 -> 751[label="",style="solid", color="burlywood", weight=3];
15.63/6.25	313[label="wz11",fontsize=16,color="green",shape="box"];314 -> 224[label="",style="dashed", color="red", weight=0];
15.63/6.25	314[label="FiniteMap.fmToList_LE0 (Pos Zero) wz31 wz11",fontsize=16,color="magenta"];314 -> 348[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	315[label="Succ wz400",fontsize=16,color="green",shape="box"];1563[label="wz147",fontsize=16,color="green",shape="box"];1564[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 wz147 (Neg (Succ wz125)) wz1300 wz1301 wz1302 wz1303 wz1304 (wz1300 <= Neg (Succ wz125))",fontsize=16,color="black",shape="box"];1564 -> 1592[label="",style="solid", color="black", weight=3];
15.63/6.25	333[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 wz20 (Neg Zero) wz340 wz341 wz342 wz343 wz344 (compare wz340 (Neg Zero) /= GT)",fontsize=16,color="black",shape="box"];333 -> 365[label="",style="solid", color="black", weight=3];
15.63/6.25	316[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 wz13 (Pos wz40) wz340 wz341 wz342 wz343 wz344 (not (compare wz340 (Pos wz40) == GT))",fontsize=16,color="black",shape="box"];316 -> 349[label="",style="solid", color="black", weight=3];
15.63/6.25	2579[label="FiniteMap.foldFM_LE0 FiniteMap.fmToList_LE0 wz256 (Neg (Succ wz257)) (Neg (Succ wz258)) wz259 wz260 wz261 wz262 True",fontsize=16,color="black",shape="box"];2579 -> 2583[label="",style="solid", color="black", weight=3];
15.63/6.25	2580[label="wz262",fontsize=16,color="green",shape="box"];2581 -> 193[label="",style="dashed", color="red", weight=0];
15.63/6.25	2581[label="FiniteMap.fmToList_LE0 (Neg (Succ wz258)) wz259 (FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 wz256 (Neg (Succ wz257)) wz261)",fontsize=16,color="magenta"];2581 -> 2584[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	2581 -> 2585[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	2581 -> 2586[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	2582[label="wz257",fontsize=16,color="green",shape="box"];331[label="wz12",fontsize=16,color="green",shape="box"];332[label="wz12",fontsize=16,color="green",shape="box"];334[label="wz9",fontsize=16,color="green",shape="box"];2001 -> 652[label="",style="dashed", color="red", weight=0];
15.63/6.25	2001[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 wz189 (Pos (Succ wz190)) wz194",fontsize=16,color="magenta"];2001 -> 2004[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	2001 -> 2005[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	2001 -> 2006[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	2003 -> 652[label="",style="dashed", color="red", weight=0];
15.63/6.25	2003[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 wz189 (Pos (Succ wz190)) wz194",fontsize=16,color="magenta"];2003 -> 2007[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	2003 -> 2008[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	2003 -> 2009[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	2002[label="FiniteMap.fmToList_LE0 (Pos (Succ wz191)) wz192 wz198",fontsize=16,color="black",shape="triangle"];2002 -> 2010[label="",style="solid", color="black", weight=3];
15.63/6.25	750[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 wz13 (Pos wz40) FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];750 -> 806[label="",style="solid", color="black", weight=3];
15.63/6.25	751[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 wz13 (Pos wz40) (FiniteMap.Branch wz3430 wz3431 wz3432 wz3433 wz3434)",fontsize=16,color="black",shape="box"];751 -> 807[label="",style="solid", color="black", weight=3];
15.63/6.25	348[label="wz11",fontsize=16,color="green",shape="box"];1592[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 wz147 (Neg (Succ wz125)) wz1300 wz1301 wz1302 wz1303 wz1304 (compare wz1300 (Neg (Succ wz125)) /= GT)",fontsize=16,color="black",shape="box"];1592 -> 1688[label="",style="solid", color="black", weight=3];
15.63/6.25	365[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 wz20 (Neg Zero) wz340 wz341 wz342 wz343 wz344 (not (compare wz340 (Neg Zero) == GT))",fontsize=16,color="black",shape="box"];365 -> 380[label="",style="solid", color="black", weight=3];
15.63/6.25	349[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 wz13 (Pos wz40) wz340 wz341 wz342 wz343 wz344 (not (primCmpInt wz340 (Pos wz40) == GT))",fontsize=16,color="burlywood",shape="box"];2653[label="wz340/Pos wz3400",fontsize=10,color="white",style="solid",shape="box"];349 -> 2653[label="",style="solid", color="burlywood", weight=9];
15.63/6.25	2653 -> 381[label="",style="solid", color="burlywood", weight=3];
15.63/6.25	2654[label="wz340/Neg wz3400",fontsize=10,color="white",style="solid",shape="box"];349 -> 2654[label="",style="solid", color="burlywood", weight=9];
15.63/6.25	2654 -> 382[label="",style="solid", color="burlywood", weight=3];
15.63/6.25	2583 -> 1351[label="",style="dashed", color="red", weight=0];
15.63/6.25	2583[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 wz256 (Neg (Succ wz257)) wz261",fontsize=16,color="magenta"];2583 -> 2587[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	2583 -> 2588[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	2583 -> 2589[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	2584[label="wz258",fontsize=16,color="green",shape="box"];2585 -> 1351[label="",style="dashed", color="red", weight=0];
15.63/6.25	2585[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 wz256 (Neg (Succ wz257)) wz261",fontsize=16,color="magenta"];2585 -> 2590[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	2585 -> 2591[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	2585 -> 2592[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	2586[label="wz259",fontsize=16,color="green",shape="box"];2004[label="wz189",fontsize=16,color="green",shape="box"];2005[label="Succ wz190",fontsize=16,color="green",shape="box"];2006[label="wz194",fontsize=16,color="green",shape="box"];2007[label="wz189",fontsize=16,color="green",shape="box"];2008[label="Succ wz190",fontsize=16,color="green",shape="box"];2009[label="wz194",fontsize=16,color="green",shape="box"];2010[label="(Pos (Succ wz191),wz192) : wz198",fontsize=16,color="green",shape="box"];806[label="FiniteMap.foldFM_LE3 FiniteMap.fmToList_LE0 wz13 (Pos wz40) FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];806 -> 863[label="",style="solid", color="black", weight=3];
15.63/6.25	807[label="FiniteMap.foldFM_LE2 FiniteMap.fmToList_LE0 wz13 (Pos wz40) (FiniteMap.Branch wz3430 wz3431 wz3432 wz3433 wz3434)",fontsize=16,color="black",shape="box"];807 -> 864[label="",style="solid", color="black", weight=3];
15.63/6.25	1688[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 wz147 (Neg (Succ wz125)) wz1300 wz1301 wz1302 wz1303 wz1304 (not (compare wz1300 (Neg (Succ wz125)) == GT))",fontsize=16,color="black",shape="box"];1688 -> 1709[label="",style="solid", color="black", weight=3];
15.63/6.25	380[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 wz20 (Neg Zero) wz340 wz341 wz342 wz343 wz344 (not (primCmpInt wz340 (Neg Zero) == GT))",fontsize=16,color="burlywood",shape="box"];2655[label="wz340/Pos wz3400",fontsize=10,color="white",style="solid",shape="box"];380 -> 2655[label="",style="solid", color="burlywood", weight=9];
15.63/6.25	2655 -> 416[label="",style="solid", color="burlywood", weight=3];
15.63/6.25	2656[label="wz340/Neg wz3400",fontsize=10,color="white",style="solid",shape="box"];380 -> 2656[label="",style="solid", color="burlywood", weight=9];
15.63/6.25	2656 -> 417[label="",style="solid", color="burlywood", weight=3];
15.63/6.25	381[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 wz13 (Pos wz40) (Pos wz3400) wz341 wz342 wz343 wz344 (not (primCmpInt (Pos wz3400) (Pos wz40) == GT))",fontsize=16,color="burlywood",shape="box"];2657[label="wz3400/Succ wz34000",fontsize=10,color="white",style="solid",shape="box"];381 -> 2657[label="",style="solid", color="burlywood", weight=9];
15.63/6.25	2657 -> 418[label="",style="solid", color="burlywood", weight=3];
15.63/6.25	2658[label="wz3400/Zero",fontsize=10,color="white",style="solid",shape="box"];381 -> 2658[label="",style="solid", color="burlywood", weight=9];
15.63/6.25	2658 -> 419[label="",style="solid", color="burlywood", weight=3];
15.63/6.25	382[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 wz13 (Pos wz40) (Neg wz3400) wz341 wz342 wz343 wz344 (not (primCmpInt (Neg wz3400) (Pos wz40) == GT))",fontsize=16,color="burlywood",shape="box"];2659[label="wz3400/Succ wz34000",fontsize=10,color="white",style="solid",shape="box"];382 -> 2659[label="",style="solid", color="burlywood", weight=9];
15.63/6.25	2659 -> 420[label="",style="solid", color="burlywood", weight=3];
15.63/6.25	2660[label="wz3400/Zero",fontsize=10,color="white",style="solid",shape="box"];382 -> 2660[label="",style="solid", color="burlywood", weight=9];
15.63/6.25	2660 -> 421[label="",style="solid", color="burlywood", weight=3];
15.63/6.25	2587[label="wz261",fontsize=16,color="green",shape="box"];2588[label="wz256",fontsize=16,color="green",shape="box"];2589[label="wz257",fontsize=16,color="green",shape="box"];2590[label="wz261",fontsize=16,color="green",shape="box"];2591[label="wz256",fontsize=16,color="green",shape="box"];2592[label="wz257",fontsize=16,color="green",shape="box"];863[label="wz13",fontsize=16,color="green",shape="box"];864 -> 229[label="",style="dashed", color="red", weight=0];
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15.63/6.25	1909[label="FiniteMap.foldFM_LE0 FiniteMap.fmToList_LE0 wz147 (Neg (Succ wz125)) (Pos Zero) wz1301 wz1302 wz1303 wz1304 otherwise",fontsize=16,color="black",shape="box"];1909 -> 1926[label="",style="solid", color="black", weight=3];
15.63/6.25	1914[label="FiniteMap.foldFM_LE1 FiniteMap.fmToList_LE0 wz147 (Neg (Succ wz125)) (Neg Zero) wz1301 wz1302 wz1303 wz1304 False",fontsize=16,color="black",shape="box"];1914 -> 1931[label="",style="solid", color="black", weight=3];
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15.63/6.25	1926[label="FiniteMap.foldFM_LE0 FiniteMap.fmToList_LE0 wz147 (Neg (Succ wz125)) (Pos Zero) wz1301 wz1302 wz1303 wz1304 True",fontsize=16,color="black",shape="box"];1926 -> 1937[label="",style="solid", color="black", weight=3];
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15.63/6.25	809[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 wz13 (Pos (Succ wz400)) wz343",fontsize=16,color="magenta"];809 -> 865[label="",style="dashed", color="magenta", weight=3];
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15.63/6.25	811[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 wz13 (Pos Zero) wz343",fontsize=16,color="magenta"];811 -> 866[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	1936 -> 1351[label="",style="dashed", color="red", weight=0];
15.63/6.25	1936[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 wz147 (Neg (Succ wz125)) wz1303",fontsize=16,color="magenta"];1936 -> 1949[label="",style="dashed", color="magenta", weight=3];
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15.63/6.25	1943[label="FiniteMap.foldFM_LE0 FiniteMap.fmToList_LE0 wz147 (Neg (Succ wz125)) (Neg Zero) wz1301 wz1302 wz1303 wz1304 True",fontsize=16,color="black",shape="box"];1943 -> 1958[label="",style="solid", color="black", weight=3];
15.63/6.25	848 -> 277[label="",style="dashed", color="red", weight=0];
15.63/6.25	848[label="FiniteMap.foldFM_LE3 FiniteMap.fmToList_LE0 wz20 (Neg Zero) FiniteMap.EmptyFM",fontsize=16,color="magenta"];848 -> 1039[label="",style="dashed", color="magenta", weight=3];
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15.63/6.25	849 -> 1041[label="",style="dashed", color="magenta", weight=3];
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15.63/6.25	849 -> 1044[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	850[label="wz34000",fontsize=16,color="green",shape="box"];851 -> 735[label="",style="dashed", color="red", weight=0];
15.63/6.25	851[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 wz20 (Neg Zero) wz343",fontsize=16,color="magenta"];852[label="wz341",fontsize=16,color="green",shape="box"];860 -> 652[label="",style="dashed", color="red", weight=0];
15.63/6.25	860[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 wz13 (Pos Zero) wz343",fontsize=16,color="magenta"];860 -> 1061[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	861 -> 652[label="",style="dashed", color="red", weight=0];
15.63/6.25	861[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 wz13 (Pos (Succ wz400)) wz343",fontsize=16,color="magenta"];861 -> 1062[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	862[label="wz341",fontsize=16,color="green",shape="box"];865[label="Succ wz400",fontsize=16,color="green",shape="box"];866[label="Zero",fontsize=16,color="green",shape="box"];1949[label="wz1303",fontsize=16,color="green",shape="box"];1950[label="wz1303",fontsize=16,color="green",shape="box"];1958 -> 1351[label="",style="dashed", color="red", weight=0];
15.63/6.25	1958[label="FiniteMap.foldFM_LE FiniteMap.fmToList_LE0 wz147 (Neg (Succ wz125)) wz1303",fontsize=16,color="magenta"];1958 -> 1968[label="",style="dashed", color="magenta", weight=3];
15.63/6.25	1039[label="wz20",fontsize=16,color="green",shape="box"];1040[label="wz3430",fontsize=16,color="green",shape="box"];1041[label="wz3432",fontsize=16,color="green",shape="box"];1042[label="wz3434",fontsize=16,color="green",shape="box"];1043[label="wz3433",fontsize=16,color="green",shape="box"];1044[label="wz3431",fontsize=16,color="green",shape="box"];1061[label="Zero",fontsize=16,color="green",shape="box"];1062[label="Succ wz400",fontsize=16,color="green",shape="box"];1968[label="wz1303",fontsize=16,color="green",shape="box"];}
15.63/6.25	
15.63/6.25	----------------------------------------
15.63/6.25	
15.63/6.25	(8)
15.63/6.25	Complex Obligation (AND)
15.63/6.25	
15.63/6.25	----------------------------------------
15.63/6.25	
15.63/6.25	(9)
15.63/6.25	Obligation:
15.63/6.25	Q DP problem:
15.63/6.25	The TRS P consists of the following rules:
15.63/6.25	
15.63/6.25	   new_foldFM_LE2(wz20, Neg(Zero), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE6(wz341, new_foldFM_LE5(wz20, wz343, h), wz344, h)
15.63/6.25	   new_foldFM_LE4(wz31, wz7, Branch(wz340, wz341, wz342, wz343, wz344), h) -> new_foldFM_LE2(new_fmToList_LE00(wz31, wz7, h), wz340, wz341, wz342, wz343, wz344, h)
15.63/6.25	   new_foldFM_LE3(wz20, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), h) -> new_foldFM_LE2(wz20, wz3430, wz3431, wz3432, wz3433, wz3434, h)
15.63/6.25	   new_foldFM_LE2(wz20, Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE3(wz20, wz343, h)
15.63/6.25	   new_foldFM_LE2(wz20, Pos(Zero), wz341, wz342, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), wz344, h) -> new_foldFM_LE2(wz20, wz3430, wz3431, wz3432, wz3433, wz3434, h)
15.63/6.25	   new_foldFM_LE2(wz20, Neg(Succ(wz34000)), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE3(new_fmToList_LE0(wz34000, wz341, new_foldFM_LE5(wz20, wz343, h), h), wz344, h)
15.63/6.25	   new_foldFM_LE2(wz20, Pos(Zero), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE4(wz341, new_foldFM_LE5(wz20, wz343, h), wz344, h)
15.63/6.25	   new_foldFM_LE2(wz20, Neg(Zero), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE3(wz20, wz343, h)
15.63/6.25	   new_foldFM_LE2(wz20, Neg(Succ(wz34000)), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE3(wz20, wz343, h)
15.63/6.25	   new_foldFM_LE6(wz31, wz10, Branch(wz340, wz341, wz342, wz343, wz344), h) -> new_foldFM_LE2(new_fmToList_LE01(wz31, wz10, h), wz340, wz341, wz342, wz343, wz344, h)
15.63/6.25	
15.63/6.25	The TRS R consists of the following rules:
15.63/6.25	
15.63/6.25	   new_foldFM_LE7(wz31, wz10, EmptyFM, h) -> new_foldFM_LE30(new_fmToList_LE01(wz31, wz10, h), h)
15.63/6.25	   new_fmToList_LE00(wz31, wz6, h) -> :(@2(Pos(Zero), wz31), wz6)
15.63/6.25	   new_foldFM_LE30(wz19, h) -> wz19
15.63/6.25	   new_foldFM_LE7(wz31, wz10, Branch(wz340, wz341, wz342, wz343, wz344), h) -> new_foldFM_LE20(new_fmToList_LE01(wz31, wz10, h), wz340, wz341, wz342, wz343, wz344, h)
15.63/6.25	   new_fmToList_LE0(wz3000, wz31, wz5, h) -> :(@2(Neg(Succ(wz3000)), wz31), wz5)
15.63/6.25	   new_foldFM_LE20(wz20, Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE5(wz20, wz343, h)
15.63/6.25	   new_foldFM_LE5(wz20, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), h) -> new_foldFM_LE20(wz20, wz3430, wz3431, wz3432, wz3433, wz3434, h)
15.63/6.25	   new_fmToList_LE01(wz31, wz8, h) -> :(@2(Neg(Zero), wz31), wz8)
15.63/6.25	   new_foldFM_LE20(wz20, Pos(Zero), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE8(wz341, new_foldFM_LE5(wz20, wz343, h), wz344, h)
15.63/6.25	   new_foldFM_LE20(wz20, Neg(Succ(wz34000)), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE5(new_fmToList_LE0(wz34000, wz341, new_foldFM_LE5(wz20, wz343, h), h), wz344, h)
15.63/6.25	   new_foldFM_LE8(wz31, wz7, EmptyFM, h) -> new_foldFM_LE30(new_fmToList_LE00(wz31, wz7, h), h)
15.63/6.25	   new_foldFM_LE8(wz31, wz7, Branch(wz340, wz341, wz342, wz343, wz344), h) -> new_foldFM_LE20(new_fmToList_LE00(wz31, wz7, h), wz340, wz341, wz342, wz343, wz344, h)
15.63/6.25	   new_foldFM_LE5(wz20, EmptyFM, h) -> new_foldFM_LE30(wz20, h)
15.63/6.25	   new_foldFM_LE20(wz20, Neg(Zero), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE7(wz341, new_foldFM_LE5(wz20, wz343, h), wz344, h)
15.63/6.25	
15.63/6.25	The set Q consists of the following terms:
15.63/6.25	
15.63/6.25	   new_foldFM_LE20(x0, Pos(Zero), x1, x2, x3, x4, x5)
15.63/6.25	   new_foldFM_LE8(x0, x1, EmptyFM, x2)
15.63/6.25	   new_foldFM_LE5(x0, EmptyFM, x1)
15.63/6.25	   new_foldFM_LE7(x0, x1, Branch(x2, x3, x4, x5, x6), x7)
15.63/6.25	   new_foldFM_LE7(x0, x1, EmptyFM, x2)
15.63/6.25	   new_fmToList_LE0(x0, x1, x2, x3)
15.63/6.25	   new_foldFM_LE8(x0, x1, Branch(x2, x3, x4, x5, x6), x7)
15.63/6.25	   new_fmToList_LE01(x0, x1, x2)
15.63/6.25	   new_foldFM_LE20(x0, Pos(Succ(x1)), x2, x3, x4, x5, x6)
15.63/6.25	   new_foldFM_LE5(x0, Branch(x1, x2, x3, x4, x5), x6)
15.63/6.25	   new_foldFM_LE20(x0, Neg(Zero), x1, x2, x3, x4, x5)
15.63/6.25	   new_fmToList_LE00(x0, x1, x2)
15.63/6.25	   new_foldFM_LE30(x0, x1)
15.63/6.25	   new_foldFM_LE20(x0, Neg(Succ(x1)), x2, x3, x4, x5, x6)
15.63/6.25	
15.63/6.25	We have to consider all minimal (P,Q,R)-chains.
15.63/6.25	----------------------------------------
15.63/6.25	
15.63/6.25	(10) TransformationProof (EQUIVALENT)
15.63/6.25	By rewriting [LPAR04] the rule new_foldFM_LE4(wz31, wz7, Branch(wz340, wz341, wz342, wz343, wz344), h) -> new_foldFM_LE2(new_fmToList_LE00(wz31, wz7, h), wz340, wz341, wz342, wz343, wz344, h) at position [0] we obtained the following new rules [LPAR04]:
15.63/6.25	
15.63/6.25	   (new_foldFM_LE4(wz31, wz7, Branch(wz340, wz341, wz342, wz343, wz344), h) -> new_foldFM_LE2(:(@2(Pos(Zero), wz31), wz7), wz340, wz341, wz342, wz343, wz344, h),new_foldFM_LE4(wz31, wz7, Branch(wz340, wz341, wz342, wz343, wz344), h) -> new_foldFM_LE2(:(@2(Pos(Zero), wz31), wz7), wz340, wz341, wz342, wz343, wz344, h))
15.63/6.25	
15.63/6.25	
15.63/6.25	----------------------------------------
15.63/6.25	
15.63/6.25	(11)
15.63/6.25	Obligation:
15.63/6.25	Q DP problem:
15.63/6.25	The TRS P consists of the following rules:
15.63/6.25	
15.63/6.25	   new_foldFM_LE2(wz20, Neg(Zero), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE6(wz341, new_foldFM_LE5(wz20, wz343, h), wz344, h)
15.63/6.25	   new_foldFM_LE3(wz20, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), h) -> new_foldFM_LE2(wz20, wz3430, wz3431, wz3432, wz3433, wz3434, h)
15.63/6.25	   new_foldFM_LE2(wz20, Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE3(wz20, wz343, h)
15.63/6.25	   new_foldFM_LE2(wz20, Pos(Zero), wz341, wz342, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), wz344, h) -> new_foldFM_LE2(wz20, wz3430, wz3431, wz3432, wz3433, wz3434, h)
15.63/6.25	   new_foldFM_LE2(wz20, Neg(Succ(wz34000)), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE3(new_fmToList_LE0(wz34000, wz341, new_foldFM_LE5(wz20, wz343, h), h), wz344, h)
15.63/6.26	   new_foldFM_LE2(wz20, Pos(Zero), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE4(wz341, new_foldFM_LE5(wz20, wz343, h), wz344, h)
15.63/6.26	   new_foldFM_LE2(wz20, Neg(Zero), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE3(wz20, wz343, h)
15.63/6.26	   new_foldFM_LE2(wz20, Neg(Succ(wz34000)), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE3(wz20, wz343, h)
15.63/6.26	   new_foldFM_LE6(wz31, wz10, Branch(wz340, wz341, wz342, wz343, wz344), h) -> new_foldFM_LE2(new_fmToList_LE01(wz31, wz10, h), wz340, wz341, wz342, wz343, wz344, h)
15.63/6.26	   new_foldFM_LE4(wz31, wz7, Branch(wz340, wz341, wz342, wz343, wz344), h) -> new_foldFM_LE2(:(@2(Pos(Zero), wz31), wz7), wz340, wz341, wz342, wz343, wz344, h)
15.63/6.26	
15.63/6.26	The TRS R consists of the following rules:
15.63/6.26	
15.63/6.26	   new_foldFM_LE7(wz31, wz10, EmptyFM, h) -> new_foldFM_LE30(new_fmToList_LE01(wz31, wz10, h), h)
15.63/6.26	   new_fmToList_LE00(wz31, wz6, h) -> :(@2(Pos(Zero), wz31), wz6)
15.63/6.26	   new_foldFM_LE30(wz19, h) -> wz19
15.63/6.26	   new_foldFM_LE7(wz31, wz10, Branch(wz340, wz341, wz342, wz343, wz344), h) -> new_foldFM_LE20(new_fmToList_LE01(wz31, wz10, h), wz340, wz341, wz342, wz343, wz344, h)
15.63/6.26	   new_fmToList_LE0(wz3000, wz31, wz5, h) -> :(@2(Neg(Succ(wz3000)), wz31), wz5)
15.63/6.26	   new_foldFM_LE20(wz20, Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE5(wz20, wz343, h)
15.63/6.26	   new_foldFM_LE5(wz20, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), h) -> new_foldFM_LE20(wz20, wz3430, wz3431, wz3432, wz3433, wz3434, h)
15.63/6.26	   new_fmToList_LE01(wz31, wz8, h) -> :(@2(Neg(Zero), wz31), wz8)
15.63/6.26	   new_foldFM_LE20(wz20, Pos(Zero), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE8(wz341, new_foldFM_LE5(wz20, wz343, h), wz344, h)
15.63/6.26	   new_foldFM_LE20(wz20, Neg(Succ(wz34000)), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE5(new_fmToList_LE0(wz34000, wz341, new_foldFM_LE5(wz20, wz343, h), h), wz344, h)
15.63/6.26	   new_foldFM_LE8(wz31, wz7, EmptyFM, h) -> new_foldFM_LE30(new_fmToList_LE00(wz31, wz7, h), h)
15.63/6.26	   new_foldFM_LE8(wz31, wz7, Branch(wz340, wz341, wz342, wz343, wz344), h) -> new_foldFM_LE20(new_fmToList_LE00(wz31, wz7, h), wz340, wz341, wz342, wz343, wz344, h)
15.63/6.26	   new_foldFM_LE5(wz20, EmptyFM, h) -> new_foldFM_LE30(wz20, h)
15.63/6.26	   new_foldFM_LE20(wz20, Neg(Zero), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE7(wz341, new_foldFM_LE5(wz20, wz343, h), wz344, h)
15.63/6.26	
15.63/6.26	The set Q consists of the following terms:
15.63/6.26	
15.63/6.26	   new_foldFM_LE20(x0, Pos(Zero), x1, x2, x3, x4, x5)
15.63/6.26	   new_foldFM_LE8(x0, x1, EmptyFM, x2)
15.63/6.26	   new_foldFM_LE5(x0, EmptyFM, x1)
15.63/6.26	   new_foldFM_LE7(x0, x1, Branch(x2, x3, x4, x5, x6), x7)
15.63/6.26	   new_foldFM_LE7(x0, x1, EmptyFM, x2)
15.63/6.26	   new_fmToList_LE0(x0, x1, x2, x3)
15.63/6.26	   new_foldFM_LE8(x0, x1, Branch(x2, x3, x4, x5, x6), x7)
15.63/6.26	   new_fmToList_LE01(x0, x1, x2)
15.63/6.26	   new_foldFM_LE20(x0, Pos(Succ(x1)), x2, x3, x4, x5, x6)
15.63/6.26	   new_foldFM_LE5(x0, Branch(x1, x2, x3, x4, x5), x6)
15.63/6.26	   new_foldFM_LE20(x0, Neg(Zero), x1, x2, x3, x4, x5)
15.63/6.26	   new_fmToList_LE00(x0, x1, x2)
15.63/6.26	   new_foldFM_LE30(x0, x1)
15.63/6.26	   new_foldFM_LE20(x0, Neg(Succ(x1)), x2, x3, x4, x5, x6)
15.63/6.26	
15.63/6.26	We have to consider all minimal (P,Q,R)-chains.
15.63/6.26	----------------------------------------
15.63/6.26	
15.63/6.26	(12) TransformationProof (EQUIVALENT)
15.63/6.26	By rewriting [LPAR04] the rule new_foldFM_LE2(wz20, Neg(Succ(wz34000)), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE3(new_fmToList_LE0(wz34000, wz341, new_foldFM_LE5(wz20, wz343, h), h), wz344, h) at position [0] we obtained the following new rules [LPAR04]:
15.63/6.26	
15.63/6.26	   (new_foldFM_LE2(wz20, Neg(Succ(wz34000)), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE3(:(@2(Neg(Succ(wz34000)), wz341), new_foldFM_LE5(wz20, wz343, h)), wz344, h),new_foldFM_LE2(wz20, Neg(Succ(wz34000)), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE3(:(@2(Neg(Succ(wz34000)), wz341), new_foldFM_LE5(wz20, wz343, h)), wz344, h))
15.63/6.26	
15.63/6.26	
15.63/6.26	----------------------------------------
15.63/6.26	
15.63/6.26	(13)
15.63/6.26	Obligation:
15.63/6.26	Q DP problem:
15.63/6.26	The TRS P consists of the following rules:
15.63/6.26	
15.63/6.26	   new_foldFM_LE2(wz20, Neg(Zero), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE6(wz341, new_foldFM_LE5(wz20, wz343, h), wz344, h)
15.63/6.26	   new_foldFM_LE3(wz20, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), h) -> new_foldFM_LE2(wz20, wz3430, wz3431, wz3432, wz3433, wz3434, h)
15.63/6.26	   new_foldFM_LE2(wz20, Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE3(wz20, wz343, h)
15.63/6.26	   new_foldFM_LE2(wz20, Pos(Zero), wz341, wz342, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), wz344, h) -> new_foldFM_LE2(wz20, wz3430, wz3431, wz3432, wz3433, wz3434, h)
15.63/6.26	   new_foldFM_LE2(wz20, Pos(Zero), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE4(wz341, new_foldFM_LE5(wz20, wz343, h), wz344, h)
15.63/6.26	   new_foldFM_LE2(wz20, Neg(Zero), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE3(wz20, wz343, h)
15.63/6.26	   new_foldFM_LE2(wz20, Neg(Succ(wz34000)), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE3(wz20, wz343, h)
15.63/6.26	   new_foldFM_LE6(wz31, wz10, Branch(wz340, wz341, wz342, wz343, wz344), h) -> new_foldFM_LE2(new_fmToList_LE01(wz31, wz10, h), wz340, wz341, wz342, wz343, wz344, h)
15.63/6.26	   new_foldFM_LE4(wz31, wz7, Branch(wz340, wz341, wz342, wz343, wz344), h) -> new_foldFM_LE2(:(@2(Pos(Zero), wz31), wz7), wz340, wz341, wz342, wz343, wz344, h)
15.63/6.26	   new_foldFM_LE2(wz20, Neg(Succ(wz34000)), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE3(:(@2(Neg(Succ(wz34000)), wz341), new_foldFM_LE5(wz20, wz343, h)), wz344, h)
15.63/6.26	
15.63/6.26	The TRS R consists of the following rules:
15.63/6.26	
15.63/6.26	   new_foldFM_LE7(wz31, wz10, EmptyFM, h) -> new_foldFM_LE30(new_fmToList_LE01(wz31, wz10, h), h)
15.63/6.26	   new_fmToList_LE00(wz31, wz6, h) -> :(@2(Pos(Zero), wz31), wz6)
15.63/6.26	   new_foldFM_LE30(wz19, h) -> wz19
15.63/6.26	   new_foldFM_LE7(wz31, wz10, Branch(wz340, wz341, wz342, wz343, wz344), h) -> new_foldFM_LE20(new_fmToList_LE01(wz31, wz10, h), wz340, wz341, wz342, wz343, wz344, h)
15.63/6.26	   new_fmToList_LE0(wz3000, wz31, wz5, h) -> :(@2(Neg(Succ(wz3000)), wz31), wz5)
15.63/6.26	   new_foldFM_LE20(wz20, Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE5(wz20, wz343, h)
15.63/6.26	   new_foldFM_LE5(wz20, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), h) -> new_foldFM_LE20(wz20, wz3430, wz3431, wz3432, wz3433, wz3434, h)
15.63/6.26	   new_fmToList_LE01(wz31, wz8, h) -> :(@2(Neg(Zero), wz31), wz8)
15.63/6.26	   new_foldFM_LE20(wz20, Pos(Zero), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE8(wz341, new_foldFM_LE5(wz20, wz343, h), wz344, h)
15.63/6.26	   new_foldFM_LE20(wz20, Neg(Succ(wz34000)), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE5(new_fmToList_LE0(wz34000, wz341, new_foldFM_LE5(wz20, wz343, h), h), wz344, h)
15.63/6.26	   new_foldFM_LE8(wz31, wz7, EmptyFM, h) -> new_foldFM_LE30(new_fmToList_LE00(wz31, wz7, h), h)
15.63/6.26	   new_foldFM_LE8(wz31, wz7, Branch(wz340, wz341, wz342, wz343, wz344), h) -> new_foldFM_LE20(new_fmToList_LE00(wz31, wz7, h), wz340, wz341, wz342, wz343, wz344, h)
15.63/6.26	   new_foldFM_LE5(wz20, EmptyFM, h) -> new_foldFM_LE30(wz20, h)
15.63/6.26	   new_foldFM_LE20(wz20, Neg(Zero), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE7(wz341, new_foldFM_LE5(wz20, wz343, h), wz344, h)
15.63/6.26	
15.63/6.26	The set Q consists of the following terms:
15.63/6.26	
15.63/6.26	   new_foldFM_LE20(x0, Pos(Zero), x1, x2, x3, x4, x5)
15.63/6.26	   new_foldFM_LE8(x0, x1, EmptyFM, x2)
15.63/6.26	   new_foldFM_LE5(x0, EmptyFM, x1)
15.63/6.26	   new_foldFM_LE7(x0, x1, Branch(x2, x3, x4, x5, x6), x7)
15.63/6.26	   new_foldFM_LE7(x0, x1, EmptyFM, x2)
15.63/6.26	   new_fmToList_LE0(x0, x1, x2, x3)
15.63/6.26	   new_foldFM_LE8(x0, x1, Branch(x2, x3, x4, x5, x6), x7)
15.63/6.26	   new_fmToList_LE01(x0, x1, x2)
15.63/6.26	   new_foldFM_LE20(x0, Pos(Succ(x1)), x2, x3, x4, x5, x6)
15.63/6.26	   new_foldFM_LE5(x0, Branch(x1, x2, x3, x4, x5), x6)
15.63/6.26	   new_foldFM_LE20(x0, Neg(Zero), x1, x2, x3, x4, x5)
15.63/6.26	   new_fmToList_LE00(x0, x1, x2)
15.63/6.26	   new_foldFM_LE30(x0, x1)
15.63/6.26	   new_foldFM_LE20(x0, Neg(Succ(x1)), x2, x3, x4, x5, x6)
15.63/6.26	
15.63/6.26	We have to consider all minimal (P,Q,R)-chains.
15.63/6.26	----------------------------------------
15.63/6.26	
15.63/6.26	(14) TransformationProof (EQUIVALENT)
15.63/6.26	By rewriting [LPAR04] the rule new_foldFM_LE6(wz31, wz10, Branch(wz340, wz341, wz342, wz343, wz344), h) -> new_foldFM_LE2(new_fmToList_LE01(wz31, wz10, h), wz340, wz341, wz342, wz343, wz344, h) at position [0] we obtained the following new rules [LPAR04]:
15.63/6.26	
15.63/6.26	   (new_foldFM_LE6(wz31, wz10, Branch(wz340, wz341, wz342, wz343, wz344), h) -> new_foldFM_LE2(:(@2(Neg(Zero), wz31), wz10), wz340, wz341, wz342, wz343, wz344, h),new_foldFM_LE6(wz31, wz10, Branch(wz340, wz341, wz342, wz343, wz344), h) -> new_foldFM_LE2(:(@2(Neg(Zero), wz31), wz10), wz340, wz341, wz342, wz343, wz344, h))
15.63/6.26	
15.63/6.26	
15.63/6.26	----------------------------------------
15.63/6.26	
15.63/6.26	(15)
15.63/6.26	Obligation:
15.63/6.26	Q DP problem:
15.63/6.26	The TRS P consists of the following rules:
15.63/6.26	
15.63/6.26	   new_foldFM_LE2(wz20, Neg(Zero), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE6(wz341, new_foldFM_LE5(wz20, wz343, h), wz344, h)
15.63/6.26	   new_foldFM_LE3(wz20, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), h) -> new_foldFM_LE2(wz20, wz3430, wz3431, wz3432, wz3433, wz3434, h)
15.63/6.26	   new_foldFM_LE2(wz20, Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE3(wz20, wz343, h)
15.63/6.26	   new_foldFM_LE2(wz20, Pos(Zero), wz341, wz342, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), wz344, h) -> new_foldFM_LE2(wz20, wz3430, wz3431, wz3432, wz3433, wz3434, h)
15.63/6.26	   new_foldFM_LE2(wz20, Pos(Zero), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE4(wz341, new_foldFM_LE5(wz20, wz343, h), wz344, h)
15.63/6.26	   new_foldFM_LE2(wz20, Neg(Zero), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE3(wz20, wz343, h)
15.63/6.26	   new_foldFM_LE2(wz20, Neg(Succ(wz34000)), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE3(wz20, wz343, h)
15.63/6.26	   new_foldFM_LE4(wz31, wz7, Branch(wz340, wz341, wz342, wz343, wz344), h) -> new_foldFM_LE2(:(@2(Pos(Zero), wz31), wz7), wz340, wz341, wz342, wz343, wz344, h)
15.63/6.26	   new_foldFM_LE2(wz20, Neg(Succ(wz34000)), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE3(:(@2(Neg(Succ(wz34000)), wz341), new_foldFM_LE5(wz20, wz343, h)), wz344, h)
15.63/6.26	   new_foldFM_LE6(wz31, wz10, Branch(wz340, wz341, wz342, wz343, wz344), h) -> new_foldFM_LE2(:(@2(Neg(Zero), wz31), wz10), wz340, wz341, wz342, wz343, wz344, h)
15.63/6.26	
15.63/6.26	The TRS R consists of the following rules:
15.63/6.26	
15.63/6.26	   new_foldFM_LE7(wz31, wz10, EmptyFM, h) -> new_foldFM_LE30(new_fmToList_LE01(wz31, wz10, h), h)
15.63/6.26	   new_fmToList_LE00(wz31, wz6, h) -> :(@2(Pos(Zero), wz31), wz6)
15.63/6.26	   new_foldFM_LE30(wz19, h) -> wz19
15.63/6.26	   new_foldFM_LE7(wz31, wz10, Branch(wz340, wz341, wz342, wz343, wz344), h) -> new_foldFM_LE20(new_fmToList_LE01(wz31, wz10, h), wz340, wz341, wz342, wz343, wz344, h)
15.63/6.26	   new_fmToList_LE0(wz3000, wz31, wz5, h) -> :(@2(Neg(Succ(wz3000)), wz31), wz5)
15.63/6.26	   new_foldFM_LE20(wz20, Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE5(wz20, wz343, h)
15.63/6.26	   new_foldFM_LE5(wz20, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), h) -> new_foldFM_LE20(wz20, wz3430, wz3431, wz3432, wz3433, wz3434, h)
15.63/6.26	   new_fmToList_LE01(wz31, wz8, h) -> :(@2(Neg(Zero), wz31), wz8)
15.63/6.26	   new_foldFM_LE20(wz20, Pos(Zero), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE8(wz341, new_foldFM_LE5(wz20, wz343, h), wz344, h)
15.63/6.26	   new_foldFM_LE20(wz20, Neg(Succ(wz34000)), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE5(new_fmToList_LE0(wz34000, wz341, new_foldFM_LE5(wz20, wz343, h), h), wz344, h)
15.63/6.26	   new_foldFM_LE8(wz31, wz7, EmptyFM, h) -> new_foldFM_LE30(new_fmToList_LE00(wz31, wz7, h), h)
15.63/6.26	   new_foldFM_LE8(wz31, wz7, Branch(wz340, wz341, wz342, wz343, wz344), h) -> new_foldFM_LE20(new_fmToList_LE00(wz31, wz7, h), wz340, wz341, wz342, wz343, wz344, h)
15.63/6.26	   new_foldFM_LE5(wz20, EmptyFM, h) -> new_foldFM_LE30(wz20, h)
15.63/6.26	   new_foldFM_LE20(wz20, Neg(Zero), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE7(wz341, new_foldFM_LE5(wz20, wz343, h), wz344, h)
15.63/6.26	
15.63/6.26	The set Q consists of the following terms:
15.63/6.26	
15.63/6.26	   new_foldFM_LE20(x0, Pos(Zero), x1, x2, x3, x4, x5)
15.63/6.26	   new_foldFM_LE8(x0, x1, EmptyFM, x2)
15.63/6.26	   new_foldFM_LE5(x0, EmptyFM, x1)
15.63/6.26	   new_foldFM_LE7(x0, x1, Branch(x2, x3, x4, x5, x6), x7)
15.63/6.26	   new_foldFM_LE7(x0, x1, EmptyFM, x2)
15.63/6.26	   new_fmToList_LE0(x0, x1, x2, x3)
15.63/6.26	   new_foldFM_LE8(x0, x1, Branch(x2, x3, x4, x5, x6), x7)
15.63/6.26	   new_fmToList_LE01(x0, x1, x2)
15.63/6.26	   new_foldFM_LE20(x0, Pos(Succ(x1)), x2, x3, x4, x5, x6)
15.63/6.26	   new_foldFM_LE5(x0, Branch(x1, x2, x3, x4, x5), x6)
15.63/6.26	   new_foldFM_LE20(x0, Neg(Zero), x1, x2, x3, x4, x5)
15.63/6.26	   new_fmToList_LE00(x0, x1, x2)
15.63/6.26	   new_foldFM_LE30(x0, x1)
15.63/6.26	   new_foldFM_LE20(x0, Neg(Succ(x1)), x2, x3, x4, x5, x6)
15.63/6.26	
15.63/6.26	We have to consider all minimal (P,Q,R)-chains.
15.63/6.26	----------------------------------------
15.63/6.26	
15.63/6.26	(16) QDPSizeChangeProof (EQUIVALENT)
15.63/6.26	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. 
15.63/6.26	
15.63/6.26	From the DPs we obtained the following set of size-change graphs:
15.63/6.26	*new_foldFM_LE6(wz31, wz10, Branch(wz340, wz341, wz342, wz343, wz344), h) -> new_foldFM_LE2(:(@2(Neg(Zero), wz31), wz10), wz340, wz341, wz342, wz343, wz344, h)
15.63/6.26	The graph contains the following edges 3 > 2, 3 > 3, 3 > 4, 3 > 5, 3 > 6, 4 >= 7
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE2(wz20, Pos(Zero), wz341, wz342, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), wz344, h) -> new_foldFM_LE2(wz20, wz3430, wz3431, wz3432, wz3433, wz3434, h)
15.63/6.26	The graph contains the following edges 1 >= 1, 5 > 2, 5 > 3, 5 > 4, 5 > 5, 5 > 6, 7 >= 7
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE3(wz20, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), h) -> new_foldFM_LE2(wz20, wz3430, wz3431, wz3432, wz3433, wz3434, h)
15.63/6.26	The graph contains the following edges 1 >= 1, 2 > 2, 2 > 3, 2 > 4, 2 > 5, 2 > 6, 3 >= 7
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE4(wz31, wz7, Branch(wz340, wz341, wz342, wz343, wz344), h) -> new_foldFM_LE2(:(@2(Pos(Zero), wz31), wz7), wz340, wz341, wz342, wz343, wz344, h)
15.63/6.26	The graph contains the following edges 3 > 2, 3 > 3, 3 > 4, 3 > 5, 3 > 6, 4 >= 7
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE2(wz20, Pos(Zero), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE4(wz341, new_foldFM_LE5(wz20, wz343, h), wz344, h)
15.63/6.26	The graph contains the following edges 3 >= 1, 6 >= 3, 7 >= 4
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE2(wz20, Neg(Zero), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE6(wz341, new_foldFM_LE5(wz20, wz343, h), wz344, h)
15.63/6.26	The graph contains the following edges 3 >= 1, 6 >= 3, 7 >= 4
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE2(wz20, Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE3(wz20, wz343, h)
15.63/6.26	The graph contains the following edges 1 >= 1, 5 >= 2, 7 >= 3
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE2(wz20, Neg(Zero), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE3(wz20, wz343, h)
15.63/6.26	The graph contains the following edges 1 >= 1, 5 >= 2, 7 >= 3
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE2(wz20, Neg(Succ(wz34000)), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE3(wz20, wz343, h)
15.63/6.26	The graph contains the following edges 1 >= 1, 5 >= 2, 7 >= 3
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE2(wz20, Neg(Succ(wz34000)), wz341, wz342, wz343, wz344, h) -> new_foldFM_LE3(:(@2(Neg(Succ(wz34000)), wz341), new_foldFM_LE5(wz20, wz343, h)), wz344, h)
15.63/6.26	The graph contains the following edges 6 >= 2, 7 >= 3
15.63/6.26	
15.63/6.26	
15.63/6.26	----------------------------------------
15.63/6.26	
15.63/6.26	(17)
15.63/6.26	YES
15.63/6.26	
15.63/6.26	----------------------------------------
15.63/6.26	
15.63/6.26	(18)
15.63/6.26	Obligation:
15.63/6.26	Q DP problem:
15.63/6.26	The TRS P consists of the following rules:
15.63/6.26	
15.63/6.26	   new_foldFM_LE1(wz256, wz257, wz258, wz259, wz260, wz261, wz262, Succ(wz2630), Succ(wz2640), ba) -> new_foldFM_LE1(wz256, wz257, wz258, wz259, wz260, wz261, wz262, wz2630, wz2640, ba)
15.63/6.26	   new_foldFM_LE10(wz256, wz257, wz258, wz259, wz260, wz261, wz262, ba) -> new_foldFM_LE(wz256, wz257, wz261, ba)
15.63/6.26	   new_foldFM_LE1(wz256, wz257, wz258, wz259, wz260, wz261, wz262, Zero, Succ(wz2640), ba) -> new_foldFM_LE(new_fmToList_LE0(wz258, wz259, new_foldFM_LE0(wz256, wz257, wz261, ba), ba), wz257, wz262, ba)
15.63/6.26	   new_foldFM_LE1(wz256, wz257, wz258, wz259, wz260, wz261, wz262, Zero, Zero, ba) -> new_foldFM_LE10(wz256, wz257, wz258, wz259, wz260, wz261, wz262, ba)
15.63/6.26	   new_foldFM_LE(wz147, wz125, Branch(Neg(Zero), wz1301, wz1302, wz1303, wz1304), h) -> new_foldFM_LE(wz147, wz125, wz1303, h)
15.63/6.26	   new_foldFM_LE10(wz256, wz257, wz258, wz259, wz260, wz261, wz262, ba) -> new_foldFM_LE(new_fmToList_LE0(wz258, wz259, new_foldFM_LE0(wz256, wz257, wz261, ba), ba), wz257, wz262, ba)
15.63/6.26	   new_foldFM_LE(wz147, wz125, Branch(Neg(Succ(wz130000)), wz1301, wz1302, wz1303, wz1304), h) -> new_foldFM_LE1(wz147, wz125, wz130000, wz1301, wz1302, wz1303, wz1304, Succ(wz125), Succ(wz130000), h)
15.63/6.26	   new_foldFM_LE1(wz256, wz257, wz258, wz259, wz260, wz261, wz262, Succ(wz2630), Zero, ba) -> new_foldFM_LE(wz256, wz257, wz261, ba)
15.63/6.26	   new_foldFM_LE1(wz256, wz257, wz258, wz259, wz260, wz261, wz262, Zero, Succ(wz2640), ba) -> new_foldFM_LE(wz256, wz257, wz261, ba)
15.63/6.26	   new_foldFM_LE(wz147, wz125, Branch(Pos(Zero), wz1301, wz1302, wz1303, wz1304), h) -> new_foldFM_LE(wz147, wz125, wz1303, h)
15.63/6.26	   new_foldFM_LE(wz147, wz125, Branch(Pos(Succ(wz130000)), wz1301, wz1302, wz1303, wz1304), h) -> new_foldFM_LE(wz147, wz125, wz1303, h)
15.63/6.26	
15.63/6.26	The TRS R consists of the following rules:
15.63/6.26	
15.63/6.26	   new_foldFM_LE12(wz256, wz257, wz258, wz259, wz260, wz261, wz262, ba) -> new_foldFM_LE0(new_fmToList_LE0(wz258, wz259, new_foldFM_LE0(wz256, wz257, wz261, ba), ba), wz257, wz262, ba)
15.63/6.26	   new_foldFM_LE11(wz256, wz257, wz258, wz259, wz260, wz261, wz262, Zero, Zero, ba) -> new_foldFM_LE12(wz256, wz257, wz258, wz259, wz260, wz261, wz262, ba)
15.63/6.26	   new_foldFM_LE0(wz147, wz125, EmptyFM, h) -> wz147
15.63/6.26	   new_foldFM_LE11(wz256, wz257, wz258, wz259, wz260, wz261, wz262, Zero, Succ(wz2640), ba) -> new_foldFM_LE12(wz256, wz257, wz258, wz259, wz260, wz261, wz262, ba)
15.63/6.26	   new_fmToList_LE0(wz3000, wz31, wz5, bb) -> :(@2(Neg(Succ(wz3000)), wz31), wz5)
15.63/6.26	   new_foldFM_LE0(wz147, wz125, Branch(Pos(Succ(wz130000)), wz1301, wz1302, wz1303, wz1304), h) -> new_foldFM_LE0(wz147, wz125, wz1303, h)
15.63/6.26	   new_foldFM_LE0(wz147, wz125, Branch(Neg(Succ(wz130000)), wz1301, wz1302, wz1303, wz1304), h) -> new_foldFM_LE11(wz147, wz125, wz130000, wz1301, wz1302, wz1303, wz1304, Succ(wz125), Succ(wz130000), h)
15.63/6.26	   new_foldFM_LE11(wz256, wz257, wz258, wz259, wz260, wz261, wz262, Succ(wz2630), Succ(wz2640), ba) -> new_foldFM_LE11(wz256, wz257, wz258, wz259, wz260, wz261, wz262, wz2630, wz2640, ba)
15.63/6.26	   new_foldFM_LE11(wz256, wz257, wz258, wz259, wz260, wz261, wz262, Succ(wz2630), Zero, ba) -> new_foldFM_LE0(wz256, wz257, wz261, ba)
15.63/6.26	   new_foldFM_LE0(wz147, wz125, Branch(Neg(Zero), wz1301, wz1302, wz1303, wz1304), h) -> new_foldFM_LE0(wz147, wz125, wz1303, h)
15.63/6.26	   new_foldFM_LE0(wz147, wz125, Branch(Pos(Zero), wz1301, wz1302, wz1303, wz1304), h) -> new_foldFM_LE0(wz147, wz125, wz1303, h)
15.63/6.26	
15.63/6.26	The set Q consists of the following terms:
15.63/6.26	
15.63/6.26	   new_foldFM_LE0(x0, x1, Branch(Pos(Succ(x2)), x3, x4, x5, x6), x7)
15.63/6.26	   new_fmToList_LE0(x0, x1, x2, x3)
15.63/6.26	   new_foldFM_LE11(x0, x1, x2, x3, x4, x5, x6, Zero, Succ(x7), x8)
15.63/6.26	   new_foldFM_LE11(x0, x1, x2, x3, x4, x5, x6, Zero, Zero, x7)
15.63/6.26	   new_foldFM_LE0(x0, x1, EmptyFM, x2)
15.63/6.26	   new_foldFM_LE11(x0, x1, x2, x3, x4, x5, x6, Succ(x7), Succ(x8), x9)
15.63/6.26	   new_foldFM_LE11(x0, x1, x2, x3, x4, x5, x6, Succ(x7), Zero, x8)
15.63/6.26	   new_foldFM_LE12(x0, x1, x2, x3, x4, x5, x6, x7)
15.63/6.26	   new_foldFM_LE0(x0, x1, Branch(Pos(Zero), x2, x3, x4, x5), x6)
15.63/6.26	   new_foldFM_LE0(x0, x1, Branch(Neg(Succ(x2)), x3, x4, x5, x6), x7)
15.63/6.26	   new_foldFM_LE0(x0, x1, Branch(Neg(Zero), x2, x3, x4, x5), x6)
15.63/6.26	
15.63/6.26	We have to consider all minimal (P,Q,R)-chains.
15.63/6.26	----------------------------------------
15.63/6.26	
15.63/6.26	(19) TransformationProof (EQUIVALENT)
15.63/6.26	By rewriting [LPAR04] the rule new_foldFM_LE1(wz256, wz257, wz258, wz259, wz260, wz261, wz262, Zero, Succ(wz2640), ba) -> new_foldFM_LE(new_fmToList_LE0(wz258, wz259, new_foldFM_LE0(wz256, wz257, wz261, ba), ba), wz257, wz262, ba) at position [0] we obtained the following new rules [LPAR04]:
15.63/6.26	
15.63/6.26	   (new_foldFM_LE1(wz256, wz257, wz258, wz259, wz260, wz261, wz262, Zero, Succ(wz2640), ba) -> new_foldFM_LE(:(@2(Neg(Succ(wz258)), wz259), new_foldFM_LE0(wz256, wz257, wz261, ba)), wz257, wz262, ba),new_foldFM_LE1(wz256, wz257, wz258, wz259, wz260, wz261, wz262, Zero, Succ(wz2640), ba) -> new_foldFM_LE(:(@2(Neg(Succ(wz258)), wz259), new_foldFM_LE0(wz256, wz257, wz261, ba)), wz257, wz262, ba))
15.63/6.26	
15.63/6.26	
15.63/6.26	----------------------------------------
15.63/6.26	
15.63/6.26	(20)
15.63/6.26	Obligation:
15.63/6.26	Q DP problem:
15.63/6.26	The TRS P consists of the following rules:
15.63/6.26	
15.63/6.26	   new_foldFM_LE1(wz256, wz257, wz258, wz259, wz260, wz261, wz262, Succ(wz2630), Succ(wz2640), ba) -> new_foldFM_LE1(wz256, wz257, wz258, wz259, wz260, wz261, wz262, wz2630, wz2640, ba)
15.63/6.26	   new_foldFM_LE10(wz256, wz257, wz258, wz259, wz260, wz261, wz262, ba) -> new_foldFM_LE(wz256, wz257, wz261, ba)
15.63/6.26	   new_foldFM_LE1(wz256, wz257, wz258, wz259, wz260, wz261, wz262, Zero, Zero, ba) -> new_foldFM_LE10(wz256, wz257, wz258, wz259, wz260, wz261, wz262, ba)
15.63/6.26	   new_foldFM_LE(wz147, wz125, Branch(Neg(Zero), wz1301, wz1302, wz1303, wz1304), h) -> new_foldFM_LE(wz147, wz125, wz1303, h)
15.63/6.26	   new_foldFM_LE10(wz256, wz257, wz258, wz259, wz260, wz261, wz262, ba) -> new_foldFM_LE(new_fmToList_LE0(wz258, wz259, new_foldFM_LE0(wz256, wz257, wz261, ba), ba), wz257, wz262, ba)
15.63/6.26	   new_foldFM_LE(wz147, wz125, Branch(Neg(Succ(wz130000)), wz1301, wz1302, wz1303, wz1304), h) -> new_foldFM_LE1(wz147, wz125, wz130000, wz1301, wz1302, wz1303, wz1304, Succ(wz125), Succ(wz130000), h)
15.63/6.26	   new_foldFM_LE1(wz256, wz257, wz258, wz259, wz260, wz261, wz262, Succ(wz2630), Zero, ba) -> new_foldFM_LE(wz256, wz257, wz261, ba)
15.63/6.26	   new_foldFM_LE1(wz256, wz257, wz258, wz259, wz260, wz261, wz262, Zero, Succ(wz2640), ba) -> new_foldFM_LE(wz256, wz257, wz261, ba)
15.63/6.26	   new_foldFM_LE(wz147, wz125, Branch(Pos(Zero), wz1301, wz1302, wz1303, wz1304), h) -> new_foldFM_LE(wz147, wz125, wz1303, h)
15.63/6.26	   new_foldFM_LE(wz147, wz125, Branch(Pos(Succ(wz130000)), wz1301, wz1302, wz1303, wz1304), h) -> new_foldFM_LE(wz147, wz125, wz1303, h)
15.63/6.26	   new_foldFM_LE1(wz256, wz257, wz258, wz259, wz260, wz261, wz262, Zero, Succ(wz2640), ba) -> new_foldFM_LE(:(@2(Neg(Succ(wz258)), wz259), new_foldFM_LE0(wz256, wz257, wz261, ba)), wz257, wz262, ba)
15.63/6.26	
15.63/6.26	The TRS R consists of the following rules:
15.63/6.26	
15.63/6.26	   new_foldFM_LE12(wz256, wz257, wz258, wz259, wz260, wz261, wz262, ba) -> new_foldFM_LE0(new_fmToList_LE0(wz258, wz259, new_foldFM_LE0(wz256, wz257, wz261, ba), ba), wz257, wz262, ba)
15.63/6.26	   new_foldFM_LE11(wz256, wz257, wz258, wz259, wz260, wz261, wz262, Zero, Zero, ba) -> new_foldFM_LE12(wz256, wz257, wz258, wz259, wz260, wz261, wz262, ba)
15.63/6.26	   new_foldFM_LE0(wz147, wz125, EmptyFM, h) -> wz147
15.63/6.26	   new_foldFM_LE11(wz256, wz257, wz258, wz259, wz260, wz261, wz262, Zero, Succ(wz2640), ba) -> new_foldFM_LE12(wz256, wz257, wz258, wz259, wz260, wz261, wz262, ba)
15.63/6.26	   new_fmToList_LE0(wz3000, wz31, wz5, bb) -> :(@2(Neg(Succ(wz3000)), wz31), wz5)
15.63/6.26	   new_foldFM_LE0(wz147, wz125, Branch(Pos(Succ(wz130000)), wz1301, wz1302, wz1303, wz1304), h) -> new_foldFM_LE0(wz147, wz125, wz1303, h)
15.63/6.26	   new_foldFM_LE0(wz147, wz125, Branch(Neg(Succ(wz130000)), wz1301, wz1302, wz1303, wz1304), h) -> new_foldFM_LE11(wz147, wz125, wz130000, wz1301, wz1302, wz1303, wz1304, Succ(wz125), Succ(wz130000), h)
15.63/6.26	   new_foldFM_LE11(wz256, wz257, wz258, wz259, wz260, wz261, wz262, Succ(wz2630), Succ(wz2640), ba) -> new_foldFM_LE11(wz256, wz257, wz258, wz259, wz260, wz261, wz262, wz2630, wz2640, ba)
15.63/6.26	   new_foldFM_LE11(wz256, wz257, wz258, wz259, wz260, wz261, wz262, Succ(wz2630), Zero, ba) -> new_foldFM_LE0(wz256, wz257, wz261, ba)
15.63/6.26	   new_foldFM_LE0(wz147, wz125, Branch(Neg(Zero), wz1301, wz1302, wz1303, wz1304), h) -> new_foldFM_LE0(wz147, wz125, wz1303, h)
15.63/6.26	   new_foldFM_LE0(wz147, wz125, Branch(Pos(Zero), wz1301, wz1302, wz1303, wz1304), h) -> new_foldFM_LE0(wz147, wz125, wz1303, h)
15.63/6.26	
15.63/6.26	The set Q consists of the following terms:
15.63/6.26	
15.63/6.26	   new_foldFM_LE0(x0, x1, Branch(Pos(Succ(x2)), x3, x4, x5, x6), x7)
15.63/6.26	   new_fmToList_LE0(x0, x1, x2, x3)
15.63/6.26	   new_foldFM_LE11(x0, x1, x2, x3, x4, x5, x6, Zero, Succ(x7), x8)
15.63/6.26	   new_foldFM_LE11(x0, x1, x2, x3, x4, x5, x6, Zero, Zero, x7)
15.63/6.26	   new_foldFM_LE0(x0, x1, EmptyFM, x2)
15.63/6.26	   new_foldFM_LE11(x0, x1, x2, x3, x4, x5, x6, Succ(x7), Succ(x8), x9)
15.63/6.26	   new_foldFM_LE11(x0, x1, x2, x3, x4, x5, x6, Succ(x7), Zero, x8)
15.63/6.26	   new_foldFM_LE12(x0, x1, x2, x3, x4, x5, x6, x7)
15.63/6.26	   new_foldFM_LE0(x0, x1, Branch(Pos(Zero), x2, x3, x4, x5), x6)
15.63/6.26	   new_foldFM_LE0(x0, x1, Branch(Neg(Succ(x2)), x3, x4, x5, x6), x7)
15.63/6.26	   new_foldFM_LE0(x0, x1, Branch(Neg(Zero), x2, x3, x4, x5), x6)
15.63/6.26	
15.63/6.26	We have to consider all minimal (P,Q,R)-chains.
15.63/6.26	----------------------------------------
15.63/6.26	
15.63/6.26	(21) TransformationProof (EQUIVALENT)
15.63/6.26	By rewriting [LPAR04] the rule new_foldFM_LE10(wz256, wz257, wz258, wz259, wz260, wz261, wz262, ba) -> new_foldFM_LE(new_fmToList_LE0(wz258, wz259, new_foldFM_LE0(wz256, wz257, wz261, ba), ba), wz257, wz262, ba) at position [0] we obtained the following new rules [LPAR04]:
15.63/6.26	
15.63/6.26	   (new_foldFM_LE10(wz256, wz257, wz258, wz259, wz260, wz261, wz262, ba) -> new_foldFM_LE(:(@2(Neg(Succ(wz258)), wz259), new_foldFM_LE0(wz256, wz257, wz261, ba)), wz257, wz262, ba),new_foldFM_LE10(wz256, wz257, wz258, wz259, wz260, wz261, wz262, ba) -> new_foldFM_LE(:(@2(Neg(Succ(wz258)), wz259), new_foldFM_LE0(wz256, wz257, wz261, ba)), wz257, wz262, ba))
15.63/6.26	
15.63/6.26	
15.63/6.26	----------------------------------------
15.63/6.26	
15.63/6.26	(22)
15.63/6.26	Obligation:
15.63/6.26	Q DP problem:
15.63/6.26	The TRS P consists of the following rules:
15.63/6.26	
15.63/6.26	   new_foldFM_LE1(wz256, wz257, wz258, wz259, wz260, wz261, wz262, Succ(wz2630), Succ(wz2640), ba) -> new_foldFM_LE1(wz256, wz257, wz258, wz259, wz260, wz261, wz262, wz2630, wz2640, ba)
15.63/6.26	   new_foldFM_LE10(wz256, wz257, wz258, wz259, wz260, wz261, wz262, ba) -> new_foldFM_LE(wz256, wz257, wz261, ba)
15.63/6.26	   new_foldFM_LE1(wz256, wz257, wz258, wz259, wz260, wz261, wz262, Zero, Zero, ba) -> new_foldFM_LE10(wz256, wz257, wz258, wz259, wz260, wz261, wz262, ba)
15.63/6.26	   new_foldFM_LE(wz147, wz125, Branch(Neg(Zero), wz1301, wz1302, wz1303, wz1304), h) -> new_foldFM_LE(wz147, wz125, wz1303, h)
15.63/6.26	   new_foldFM_LE(wz147, wz125, Branch(Neg(Succ(wz130000)), wz1301, wz1302, wz1303, wz1304), h) -> new_foldFM_LE1(wz147, wz125, wz130000, wz1301, wz1302, wz1303, wz1304, Succ(wz125), Succ(wz130000), h)
15.63/6.26	   new_foldFM_LE1(wz256, wz257, wz258, wz259, wz260, wz261, wz262, Succ(wz2630), Zero, ba) -> new_foldFM_LE(wz256, wz257, wz261, ba)
15.63/6.26	   new_foldFM_LE1(wz256, wz257, wz258, wz259, wz260, wz261, wz262, Zero, Succ(wz2640), ba) -> new_foldFM_LE(wz256, wz257, wz261, ba)
15.63/6.26	   new_foldFM_LE(wz147, wz125, Branch(Pos(Zero), wz1301, wz1302, wz1303, wz1304), h) -> new_foldFM_LE(wz147, wz125, wz1303, h)
15.63/6.26	   new_foldFM_LE(wz147, wz125, Branch(Pos(Succ(wz130000)), wz1301, wz1302, wz1303, wz1304), h) -> new_foldFM_LE(wz147, wz125, wz1303, h)
15.63/6.26	   new_foldFM_LE1(wz256, wz257, wz258, wz259, wz260, wz261, wz262, Zero, Succ(wz2640), ba) -> new_foldFM_LE(:(@2(Neg(Succ(wz258)), wz259), new_foldFM_LE0(wz256, wz257, wz261, ba)), wz257, wz262, ba)
15.63/6.26	   new_foldFM_LE10(wz256, wz257, wz258, wz259, wz260, wz261, wz262, ba) -> new_foldFM_LE(:(@2(Neg(Succ(wz258)), wz259), new_foldFM_LE0(wz256, wz257, wz261, ba)), wz257, wz262, ba)
15.63/6.26	
15.63/6.26	The TRS R consists of the following rules:
15.63/6.26	
15.63/6.26	   new_foldFM_LE12(wz256, wz257, wz258, wz259, wz260, wz261, wz262, ba) -> new_foldFM_LE0(new_fmToList_LE0(wz258, wz259, new_foldFM_LE0(wz256, wz257, wz261, ba), ba), wz257, wz262, ba)
15.63/6.26	   new_foldFM_LE11(wz256, wz257, wz258, wz259, wz260, wz261, wz262, Zero, Zero, ba) -> new_foldFM_LE12(wz256, wz257, wz258, wz259, wz260, wz261, wz262, ba)
15.63/6.26	   new_foldFM_LE0(wz147, wz125, EmptyFM, h) -> wz147
15.63/6.26	   new_foldFM_LE11(wz256, wz257, wz258, wz259, wz260, wz261, wz262, Zero, Succ(wz2640), ba) -> new_foldFM_LE12(wz256, wz257, wz258, wz259, wz260, wz261, wz262, ba)
15.63/6.26	   new_fmToList_LE0(wz3000, wz31, wz5, bb) -> :(@2(Neg(Succ(wz3000)), wz31), wz5)
15.63/6.26	   new_foldFM_LE0(wz147, wz125, Branch(Pos(Succ(wz130000)), wz1301, wz1302, wz1303, wz1304), h) -> new_foldFM_LE0(wz147, wz125, wz1303, h)
15.63/6.26	   new_foldFM_LE0(wz147, wz125, Branch(Neg(Succ(wz130000)), wz1301, wz1302, wz1303, wz1304), h) -> new_foldFM_LE11(wz147, wz125, wz130000, wz1301, wz1302, wz1303, wz1304, Succ(wz125), Succ(wz130000), h)
15.63/6.26	   new_foldFM_LE11(wz256, wz257, wz258, wz259, wz260, wz261, wz262, Succ(wz2630), Succ(wz2640), ba) -> new_foldFM_LE11(wz256, wz257, wz258, wz259, wz260, wz261, wz262, wz2630, wz2640, ba)
15.63/6.26	   new_foldFM_LE11(wz256, wz257, wz258, wz259, wz260, wz261, wz262, Succ(wz2630), Zero, ba) -> new_foldFM_LE0(wz256, wz257, wz261, ba)
15.63/6.26	   new_foldFM_LE0(wz147, wz125, Branch(Neg(Zero), wz1301, wz1302, wz1303, wz1304), h) -> new_foldFM_LE0(wz147, wz125, wz1303, h)
15.63/6.26	   new_foldFM_LE0(wz147, wz125, Branch(Pos(Zero), wz1301, wz1302, wz1303, wz1304), h) -> new_foldFM_LE0(wz147, wz125, wz1303, h)
15.63/6.26	
15.63/6.26	The set Q consists of the following terms:
15.63/6.26	
15.63/6.26	   new_foldFM_LE0(x0, x1, Branch(Pos(Succ(x2)), x3, x4, x5, x6), x7)
15.63/6.26	   new_fmToList_LE0(x0, x1, x2, x3)
15.63/6.26	   new_foldFM_LE11(x0, x1, x2, x3, x4, x5, x6, Zero, Succ(x7), x8)
15.63/6.26	   new_foldFM_LE11(x0, x1, x2, x3, x4, x5, x6, Zero, Zero, x7)
15.63/6.26	   new_foldFM_LE0(x0, x1, EmptyFM, x2)
15.63/6.26	   new_foldFM_LE11(x0, x1, x2, x3, x4, x5, x6, Succ(x7), Succ(x8), x9)
15.63/6.26	   new_foldFM_LE11(x0, x1, x2, x3, x4, x5, x6, Succ(x7), Zero, x8)
15.63/6.26	   new_foldFM_LE12(x0, x1, x2, x3, x4, x5, x6, x7)
15.63/6.26	   new_foldFM_LE0(x0, x1, Branch(Pos(Zero), x2, x3, x4, x5), x6)
15.63/6.26	   new_foldFM_LE0(x0, x1, Branch(Neg(Succ(x2)), x3, x4, x5, x6), x7)
15.63/6.26	   new_foldFM_LE0(x0, x1, Branch(Neg(Zero), x2, x3, x4, x5), x6)
15.63/6.26	
15.63/6.26	We have to consider all minimal (P,Q,R)-chains.
15.63/6.26	----------------------------------------
15.63/6.26	
15.63/6.26	(23) QDPSizeChangeProof (EQUIVALENT)
15.63/6.26	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. 
15.63/6.26	
15.63/6.26	From the DPs we obtained the following set of size-change graphs:
15.63/6.26	*new_foldFM_LE1(wz256, wz257, wz258, wz259, wz260, wz261, wz262, Succ(wz2630), Succ(wz2640), ba) -> new_foldFM_LE1(wz256, wz257, wz258, wz259, wz260, wz261, wz262, wz2630, wz2640, ba)
15.63/6.26	The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7, 8 > 8, 9 > 9, 10 >= 10
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE(wz147, wz125, Branch(Neg(Succ(wz130000)), wz1301, wz1302, wz1303, wz1304), h) -> new_foldFM_LE1(wz147, wz125, wz130000, wz1301, wz1302, wz1303, wz1304, Succ(wz125), Succ(wz130000), h)
15.63/6.26	The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 3 > 4, 3 > 5, 3 > 6, 3 > 7, 3 > 9, 4 >= 10
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE1(wz256, wz257, wz258, wz259, wz260, wz261, wz262, Zero, Zero, ba) -> new_foldFM_LE10(wz256, wz257, wz258, wz259, wz260, wz261, wz262, ba)
15.63/6.26	The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7, 10 >= 8
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE1(wz256, wz257, wz258, wz259, wz260, wz261, wz262, Succ(wz2630), Zero, ba) -> new_foldFM_LE(wz256, wz257, wz261, ba)
15.63/6.26	The graph contains the following edges 1 >= 1, 2 >= 2, 6 >= 3, 10 >= 4
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE1(wz256, wz257, wz258, wz259, wz260, wz261, wz262, Zero, Succ(wz2640), ba) -> new_foldFM_LE(wz256, wz257, wz261, ba)
15.63/6.26	The graph contains the following edges 1 >= 1, 2 >= 2, 6 >= 3, 10 >= 4
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE1(wz256, wz257, wz258, wz259, wz260, wz261, wz262, Zero, Succ(wz2640), ba) -> new_foldFM_LE(:(@2(Neg(Succ(wz258)), wz259), new_foldFM_LE0(wz256, wz257, wz261, ba)), wz257, wz262, ba)
15.63/6.26	The graph contains the following edges 2 >= 2, 7 >= 3, 10 >= 4
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE(wz147, wz125, Branch(Neg(Zero), wz1301, wz1302, wz1303, wz1304), h) -> new_foldFM_LE(wz147, wz125, wz1303, h)
15.63/6.26	The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 >= 4
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE(wz147, wz125, Branch(Pos(Zero), wz1301, wz1302, wz1303, wz1304), h) -> new_foldFM_LE(wz147, wz125, wz1303, h)
15.63/6.26	The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 >= 4
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE(wz147, wz125, Branch(Pos(Succ(wz130000)), wz1301, wz1302, wz1303, wz1304), h) -> new_foldFM_LE(wz147, wz125, wz1303, h)
15.63/6.26	The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 >= 4
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE10(wz256, wz257, wz258, wz259, wz260, wz261, wz262, ba) -> new_foldFM_LE(wz256, wz257, wz261, ba)
15.63/6.26	The graph contains the following edges 1 >= 1, 2 >= 2, 6 >= 3, 8 >= 4
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE10(wz256, wz257, wz258, wz259, wz260, wz261, wz262, ba) -> new_foldFM_LE(:(@2(Neg(Succ(wz258)), wz259), new_foldFM_LE0(wz256, wz257, wz261, ba)), wz257, wz262, ba)
15.63/6.26	The graph contains the following edges 2 >= 2, 7 >= 3, 8 >= 4
15.63/6.26	
15.63/6.26	
15.63/6.26	----------------------------------------
15.63/6.26	
15.63/6.26	(24)
15.63/6.26	YES
15.63/6.26	
15.63/6.26	----------------------------------------
15.63/6.26	
15.63/6.26	(25)
15.63/6.26	Obligation:
15.63/6.26	Q DP problem:
15.63/6.26	The TRS P consists of the following rules:
15.63/6.26	
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE13(wz13, wz400, wz34000, wz341, wz342, wz343, wz344, wz34000, wz400, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE17(wz341, new_foldFM_LE14(wz13, Zero, wz343, ba), wz344, ba)
15.63/6.26	   new_foldFM_LE9(wz13, wz40, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), ba) -> new_foldFM_LE16(wz13, wz40, wz3430, wz3431, wz3432, wz3433, wz3434, ba)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Succ(wz1960), Succ(wz1970), h) -> new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, wz1960, wz1970, h)
15.63/6.26	   new_foldFM_LE16(wz13, wz40, Neg(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE18(wz34000, wz341, new_foldFM_LE14(wz13, wz40, wz343, ba), wz40, wz344, ba)
15.63/6.26	   new_foldFM_LE16(wz13, wz40, Neg(Succ(wz34000)), wz341, wz342, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), wz344, ba) -> new_foldFM_LE16(wz13, wz40, wz3430, wz3431, wz3432, wz3433, wz3434, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(new_fmToList_LE01(wz341, new_foldFM_LE14(wz13, Zero, wz343, ba), ba), Zero, wz344, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(new_fmToList_LE00(wz341, new_foldFM_LE14(wz13, Succ(wz400), wz343, ba), ba), Succ(wz400), wz344, ba)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Zero, h) -> new_foldFM_LE15(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h)
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Succ(wz400), wz343, ba)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Succ(wz1960), Zero, h) -> new_foldFM_LE9(wz189, Succ(wz190), wz194, h)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Succ(wz1970), h) -> new_foldFM_LE9(wz189, Succ(wz190), wz194, h)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Succ(wz1970), h) -> new_foldFM_LE9(new_fmToList_LE02(wz191, wz192, new_foldFM_LE14(wz189, Succ(wz190), wz194, h), h), Succ(wz190), wz195, h)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Zero, wz343, ba)
15.63/6.26	   new_foldFM_LE17(wz31, wz6, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE16(new_fmToList_LE00(wz31, wz6, ba), Zero, wz340, wz341, wz342, wz343, wz344, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(new_fmToList_LE01(wz341, new_foldFM_LE14(wz13, Succ(wz400), wz343, ba), ba), Succ(wz400), wz344, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Succ(wz400), wz343, ba)
15.63/6.26	   new_foldFM_LE15(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h) -> new_foldFM_LE9(new_fmToList_LE02(wz191, wz192, new_foldFM_LE14(wz189, Succ(wz190), wz194, h), h), Succ(wz190), wz195, h)
15.63/6.26	   new_foldFM_LE18(wz3000, wz31, wz5, wz40, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE16(new_fmToList_LE0(wz3000, wz31, wz5, ba), wz40, wz340, wz341, wz342, wz343, wz344, ba)
15.63/6.26	   new_foldFM_LE15(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h) -> new_foldFM_LE9(wz189, Succ(wz190), wz194, h)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Zero, wz343, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Zero, wz343, ba)
15.63/6.26	
15.63/6.26	The TRS R consists of the following rules:
15.63/6.26	
15.63/6.26	   new_foldFM_LE19(wz13, Succ(wz400), Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE110(wz13, wz400, wz34000, wz341, wz342, wz343, wz344, wz34000, wz400, ba)
15.63/6.26	   new_foldFM_LE19(wz13, Zero, Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE14(wz13, Zero, wz343, ba)
15.63/6.26	   new_foldFM_LE19(wz13, wz40, Neg(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE22(wz34000, wz341, new_foldFM_LE14(wz13, wz40, wz343, ba), wz40, wz344, ba)
15.63/6.26	   new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Succ(wz1960), Succ(wz1970), h) -> new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, wz1960, wz1970, h)
15.63/6.26	   new_fmToList_LE00(wz31, wz6, ba) -> :(@2(Pos(Zero), wz31), wz6)
15.63/6.26	   new_foldFM_LE22(wz3000, wz31, wz5, wz40, EmptyFM, ba) -> new_fmToList_LE0(wz3000, wz31, wz5, ba)
15.63/6.26	   new_foldFM_LE19(wz13, Succ(wz400), Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE14(new_fmToList_LE01(wz341, new_foldFM_LE14(wz13, Succ(wz400), wz343, ba), ba), Succ(wz400), wz344, ba)
15.63/6.26	   new_fmToList_LE02(wz191, wz192, wz198, h) -> :(@2(Pos(Succ(wz191)), wz192), wz198)
15.63/6.26	   new_fmToList_LE0(wz3000, wz31, wz5, ba) -> :(@2(Neg(Succ(wz3000)), wz31), wz5)
15.63/6.26	   new_foldFM_LE111(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h) -> new_foldFM_LE14(new_fmToList_LE02(wz191, wz192, new_foldFM_LE14(wz189, Succ(wz190), wz194, h), h), Succ(wz190), wz195, h)
15.63/6.26	   new_foldFM_LE21(wz31, wz6, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE19(new_fmToList_LE00(wz31, wz6, ba), Zero, wz340, wz341, wz342, wz343, wz344, ba)
15.63/6.26	   new_foldFM_LE22(wz3000, wz31, wz5, wz40, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE19(new_fmToList_LE0(wz3000, wz31, wz5, ba), wz40, wz340, wz341, wz342, wz343, wz344, ba)
15.63/6.26	   new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Succ(wz1970), h) -> new_foldFM_LE111(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h)
15.63/6.26	   new_fmToList_LE01(wz31, wz8, ba) -> :(@2(Neg(Zero), wz31), wz8)
15.63/6.26	   new_foldFM_LE19(wz13, Succ(wz400), Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE14(new_fmToList_LE00(wz341, new_foldFM_LE14(wz13, Succ(wz400), wz343, ba), ba), Succ(wz400), wz344, ba)
15.63/6.26	   new_foldFM_LE14(wz13, wz40, EmptyFM, ba) -> wz13
15.63/6.26	   new_foldFM_LE19(wz13, Zero, Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE14(new_fmToList_LE01(wz341, new_foldFM_LE14(wz13, Zero, wz343, ba), ba), Zero, wz344, ba)
15.63/6.26	   new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Zero, h) -> new_foldFM_LE111(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h)
15.63/6.26	   new_foldFM_LE14(wz13, wz40, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), ba) -> new_foldFM_LE19(wz13, wz40, wz3430, wz3431, wz3432, wz3433, wz3434, ba)
15.63/6.26	   new_foldFM_LE19(wz13, Zero, Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE21(wz341, new_foldFM_LE14(wz13, Zero, wz343, ba), wz344, ba)
15.63/6.26	   new_foldFM_LE21(wz31, wz6, EmptyFM, ba) -> new_fmToList_LE00(wz31, wz6, ba)
15.63/6.26	   new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Succ(wz1960), Zero, h) -> new_foldFM_LE14(wz189, Succ(wz190), wz194, h)
15.63/6.26	
15.63/6.26	The set Q consists of the following terms:
15.63/6.26	
15.63/6.26	   new_fmToList_LE02(x0, x1, x2, x3)
15.63/6.26	   new_foldFM_LE19(x0, Succ(x1), Pos(Succ(x2)), x3, x4, x5, x6, x7)
15.63/6.26	   new_foldFM_LE19(x0, Succ(x1), Neg(Zero), x2, x3, x4, x5, x6)
15.63/6.26	   new_foldFM_LE110(x0, x1, x2, x3, x4, x5, x6, Zero, Succ(x7), x8)
15.63/6.26	   new_foldFM_LE110(x0, x1, x2, x3, x4, x5, x6, Zero, Zero, x7)
15.63/6.26	   new_foldFM_LE14(x0, x1, EmptyFM, x2)
15.63/6.26	   new_foldFM_LE19(x0, Succ(x1), Pos(Zero), x2, x3, x4, x5, x6)
15.63/6.26	   new_foldFM_LE22(x0, x1, x2, x3, Branch(x4, x5, x6, x7, x8), x9)
15.63/6.26	   new_foldFM_LE22(x0, x1, x2, x3, EmptyFM, x4)
15.63/6.26	   new_fmToList_LE01(x0, x1, x2)
15.63/6.26	   new_fmToList_LE00(x0, x1, x2)
15.63/6.26	   new_foldFM_LE21(x0, x1, Branch(x2, x3, x4, x5, x6), x7)
15.63/6.26	   new_foldFM_LE19(x0, x1, Neg(Succ(x2)), x3, x4, x5, x6, x7)
15.63/6.26	   new_foldFM_LE110(x0, x1, x2, x3, x4, x5, x6, Succ(x7), Zero, x8)
15.63/6.26	   new_foldFM_LE21(x0, x1, EmptyFM, x2)
15.63/6.26	   new_foldFM_LE110(x0, x1, x2, x3, x4, x5, x6, Succ(x7), Succ(x8), x9)
15.63/6.26	   new_foldFM_LE14(x0, x1, Branch(x2, x3, x4, x5, x6), x7)
15.63/6.26	   new_foldFM_LE19(x0, Zero, Pos(Succ(x1)), x2, x3, x4, x5, x6)
15.63/6.26	   new_foldFM_LE19(x0, Zero, Neg(Zero), x1, x2, x3, x4, x5)
15.63/6.26	   new_foldFM_LE111(x0, x1, x2, x3, x4, x5, x6, x7)
15.63/6.26	   new_fmToList_LE0(x0, x1, x2, x3)
15.63/6.26	   new_foldFM_LE19(x0, Zero, Pos(Zero), x1, x2, x3, x4, x5)
15.63/6.26	
15.63/6.26	We have to consider all minimal (P,Q,R)-chains.
15.63/6.26	----------------------------------------
15.63/6.26	
15.63/6.26	(26) TransformationProof (EQUIVALENT)
15.63/6.26	By rewriting [LPAR04] the rule new_foldFM_LE16(wz13, Zero, Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(new_fmToList_LE01(wz341, new_foldFM_LE14(wz13, Zero, wz343, ba), ba), Zero, wz344, ba) at position [0] we obtained the following new rules [LPAR04]:
15.63/6.26	
15.63/6.26	   (new_foldFM_LE16(wz13, Zero, Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(:(@2(Neg(Zero), wz341), new_foldFM_LE14(wz13, Zero, wz343, ba)), Zero, wz344, ba),new_foldFM_LE16(wz13, Zero, Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(:(@2(Neg(Zero), wz341), new_foldFM_LE14(wz13, Zero, wz343, ba)), Zero, wz344, ba))
15.63/6.26	
15.63/6.26	
15.63/6.26	----------------------------------------
15.63/6.26	
15.63/6.26	(27)
15.63/6.26	Obligation:
15.63/6.26	Q DP problem:
15.63/6.26	The TRS P consists of the following rules:
15.63/6.26	
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE13(wz13, wz400, wz34000, wz341, wz342, wz343, wz344, wz34000, wz400, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE17(wz341, new_foldFM_LE14(wz13, Zero, wz343, ba), wz344, ba)
15.63/6.26	   new_foldFM_LE9(wz13, wz40, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), ba) -> new_foldFM_LE16(wz13, wz40, wz3430, wz3431, wz3432, wz3433, wz3434, ba)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Succ(wz1960), Succ(wz1970), h) -> new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, wz1960, wz1970, h)
15.63/6.26	   new_foldFM_LE16(wz13, wz40, Neg(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE18(wz34000, wz341, new_foldFM_LE14(wz13, wz40, wz343, ba), wz40, wz344, ba)
15.63/6.26	   new_foldFM_LE16(wz13, wz40, Neg(Succ(wz34000)), wz341, wz342, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), wz344, ba) -> new_foldFM_LE16(wz13, wz40, wz3430, wz3431, wz3432, wz3433, wz3434, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(new_fmToList_LE00(wz341, new_foldFM_LE14(wz13, Succ(wz400), wz343, ba), ba), Succ(wz400), wz344, ba)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Zero, h) -> new_foldFM_LE15(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h)
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Succ(wz400), wz343, ba)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Succ(wz1960), Zero, h) -> new_foldFM_LE9(wz189, Succ(wz190), wz194, h)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Succ(wz1970), h) -> new_foldFM_LE9(wz189, Succ(wz190), wz194, h)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Succ(wz1970), h) -> new_foldFM_LE9(new_fmToList_LE02(wz191, wz192, new_foldFM_LE14(wz189, Succ(wz190), wz194, h), h), Succ(wz190), wz195, h)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Zero, wz343, ba)
15.63/6.26	   new_foldFM_LE17(wz31, wz6, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE16(new_fmToList_LE00(wz31, wz6, ba), Zero, wz340, wz341, wz342, wz343, wz344, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(new_fmToList_LE01(wz341, new_foldFM_LE14(wz13, Succ(wz400), wz343, ba), ba), Succ(wz400), wz344, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Succ(wz400), wz343, ba)
15.63/6.26	   new_foldFM_LE15(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h) -> new_foldFM_LE9(new_fmToList_LE02(wz191, wz192, new_foldFM_LE14(wz189, Succ(wz190), wz194, h), h), Succ(wz190), wz195, h)
15.63/6.26	   new_foldFM_LE18(wz3000, wz31, wz5, wz40, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE16(new_fmToList_LE0(wz3000, wz31, wz5, ba), wz40, wz340, wz341, wz342, wz343, wz344, ba)
15.63/6.26	   new_foldFM_LE15(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h) -> new_foldFM_LE9(wz189, Succ(wz190), wz194, h)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Zero, wz343, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Zero, wz343, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(:(@2(Neg(Zero), wz341), new_foldFM_LE14(wz13, Zero, wz343, ba)), Zero, wz344, ba)
15.63/6.26	
15.63/6.26	The TRS R consists of the following rules:
15.63/6.26	
15.63/6.26	   new_foldFM_LE19(wz13, Succ(wz400), Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE110(wz13, wz400, wz34000, wz341, wz342, wz343, wz344, wz34000, wz400, ba)
15.63/6.26	   new_foldFM_LE19(wz13, Zero, Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE14(wz13, Zero, wz343, ba)
15.63/6.26	   new_foldFM_LE19(wz13, wz40, Neg(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE22(wz34000, wz341, new_foldFM_LE14(wz13, wz40, wz343, ba), wz40, wz344, ba)
15.63/6.26	   new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Succ(wz1960), Succ(wz1970), h) -> new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, wz1960, wz1970, h)
15.63/6.26	   new_fmToList_LE00(wz31, wz6, ba) -> :(@2(Pos(Zero), wz31), wz6)
15.63/6.26	   new_foldFM_LE22(wz3000, wz31, wz5, wz40, EmptyFM, ba) -> new_fmToList_LE0(wz3000, wz31, wz5, ba)
15.63/6.26	   new_foldFM_LE19(wz13, Succ(wz400), Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE14(new_fmToList_LE01(wz341, new_foldFM_LE14(wz13, Succ(wz400), wz343, ba), ba), Succ(wz400), wz344, ba)
15.63/6.26	   new_fmToList_LE02(wz191, wz192, wz198, h) -> :(@2(Pos(Succ(wz191)), wz192), wz198)
15.63/6.26	   new_fmToList_LE0(wz3000, wz31, wz5, ba) -> :(@2(Neg(Succ(wz3000)), wz31), wz5)
15.63/6.26	   new_foldFM_LE111(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h) -> new_foldFM_LE14(new_fmToList_LE02(wz191, wz192, new_foldFM_LE14(wz189, Succ(wz190), wz194, h), h), Succ(wz190), wz195, h)
15.63/6.26	   new_foldFM_LE21(wz31, wz6, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE19(new_fmToList_LE00(wz31, wz6, ba), Zero, wz340, wz341, wz342, wz343, wz344, ba)
15.63/6.26	   new_foldFM_LE22(wz3000, wz31, wz5, wz40, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE19(new_fmToList_LE0(wz3000, wz31, wz5, ba), wz40, wz340, wz341, wz342, wz343, wz344, ba)
15.63/6.26	   new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Succ(wz1970), h) -> new_foldFM_LE111(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h)
15.63/6.26	   new_fmToList_LE01(wz31, wz8, ba) -> :(@2(Neg(Zero), wz31), wz8)
15.63/6.26	   new_foldFM_LE19(wz13, Succ(wz400), Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE14(new_fmToList_LE00(wz341, new_foldFM_LE14(wz13, Succ(wz400), wz343, ba), ba), Succ(wz400), wz344, ba)
15.63/6.26	   new_foldFM_LE14(wz13, wz40, EmptyFM, ba) -> wz13
15.63/6.26	   new_foldFM_LE19(wz13, Zero, Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE14(new_fmToList_LE01(wz341, new_foldFM_LE14(wz13, Zero, wz343, ba), ba), Zero, wz344, ba)
15.63/6.26	   new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Zero, h) -> new_foldFM_LE111(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h)
15.63/6.26	   new_foldFM_LE14(wz13, wz40, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), ba) -> new_foldFM_LE19(wz13, wz40, wz3430, wz3431, wz3432, wz3433, wz3434, ba)
15.63/6.26	   new_foldFM_LE19(wz13, Zero, Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE21(wz341, new_foldFM_LE14(wz13, Zero, wz343, ba), wz344, ba)
15.63/6.26	   new_foldFM_LE21(wz31, wz6, EmptyFM, ba) -> new_fmToList_LE00(wz31, wz6, ba)
15.63/6.26	   new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Succ(wz1960), Zero, h) -> new_foldFM_LE14(wz189, Succ(wz190), wz194, h)
15.63/6.26	
15.63/6.26	The set Q consists of the following terms:
15.63/6.26	
15.63/6.26	   new_fmToList_LE02(x0, x1, x2, x3)
15.63/6.26	   new_foldFM_LE19(x0, Succ(x1), Pos(Succ(x2)), x3, x4, x5, x6, x7)
15.63/6.26	   new_foldFM_LE19(x0, Succ(x1), Neg(Zero), x2, x3, x4, x5, x6)
15.63/6.26	   new_foldFM_LE110(x0, x1, x2, x3, x4, x5, x6, Zero, Succ(x7), x8)
15.63/6.26	   new_foldFM_LE110(x0, x1, x2, x3, x4, x5, x6, Zero, Zero, x7)
15.63/6.26	   new_foldFM_LE14(x0, x1, EmptyFM, x2)
15.63/6.26	   new_foldFM_LE19(x0, Succ(x1), Pos(Zero), x2, x3, x4, x5, x6)
15.63/6.26	   new_foldFM_LE22(x0, x1, x2, x3, Branch(x4, x5, x6, x7, x8), x9)
15.63/6.26	   new_foldFM_LE22(x0, x1, x2, x3, EmptyFM, x4)
15.63/6.26	   new_fmToList_LE01(x0, x1, x2)
15.63/6.26	   new_fmToList_LE00(x0, x1, x2)
15.63/6.26	   new_foldFM_LE21(x0, x1, Branch(x2, x3, x4, x5, x6), x7)
15.63/6.26	   new_foldFM_LE19(x0, x1, Neg(Succ(x2)), x3, x4, x5, x6, x7)
15.63/6.26	   new_foldFM_LE110(x0, x1, x2, x3, x4, x5, x6, Succ(x7), Zero, x8)
15.63/6.26	   new_foldFM_LE21(x0, x1, EmptyFM, x2)
15.63/6.26	   new_foldFM_LE110(x0, x1, x2, x3, x4, x5, x6, Succ(x7), Succ(x8), x9)
15.63/6.26	   new_foldFM_LE14(x0, x1, Branch(x2, x3, x4, x5, x6), x7)
15.63/6.26	   new_foldFM_LE19(x0, Zero, Pos(Succ(x1)), x2, x3, x4, x5, x6)
15.63/6.26	   new_foldFM_LE19(x0, Zero, Neg(Zero), x1, x2, x3, x4, x5)
15.63/6.26	   new_foldFM_LE111(x0, x1, x2, x3, x4, x5, x6, x7)
15.63/6.26	   new_fmToList_LE0(x0, x1, x2, x3)
15.63/6.26	   new_foldFM_LE19(x0, Zero, Pos(Zero), x1, x2, x3, x4, x5)
15.63/6.26	
15.63/6.26	We have to consider all minimal (P,Q,R)-chains.
15.63/6.26	----------------------------------------
15.63/6.26	
15.63/6.26	(28) TransformationProof (EQUIVALENT)
15.63/6.26	By rewriting [LPAR04] the rule new_foldFM_LE16(wz13, Succ(wz400), Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(new_fmToList_LE00(wz341, new_foldFM_LE14(wz13, Succ(wz400), wz343, ba), ba), Succ(wz400), wz344, ba) at position [0] we obtained the following new rules [LPAR04]:
15.63/6.26	
15.63/6.26	   (new_foldFM_LE16(wz13, Succ(wz400), Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(:(@2(Pos(Zero), wz341), new_foldFM_LE14(wz13, Succ(wz400), wz343, ba)), Succ(wz400), wz344, ba),new_foldFM_LE16(wz13, Succ(wz400), Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(:(@2(Pos(Zero), wz341), new_foldFM_LE14(wz13, Succ(wz400), wz343, ba)), Succ(wz400), wz344, ba))
15.63/6.26	
15.63/6.26	
15.63/6.26	----------------------------------------
15.63/6.26	
15.63/6.26	(29)
15.63/6.26	Obligation:
15.63/6.26	Q DP problem:
15.63/6.26	The TRS P consists of the following rules:
15.63/6.26	
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE13(wz13, wz400, wz34000, wz341, wz342, wz343, wz344, wz34000, wz400, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE17(wz341, new_foldFM_LE14(wz13, Zero, wz343, ba), wz344, ba)
15.63/6.26	   new_foldFM_LE9(wz13, wz40, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), ba) -> new_foldFM_LE16(wz13, wz40, wz3430, wz3431, wz3432, wz3433, wz3434, ba)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Succ(wz1960), Succ(wz1970), h) -> new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, wz1960, wz1970, h)
15.63/6.26	   new_foldFM_LE16(wz13, wz40, Neg(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE18(wz34000, wz341, new_foldFM_LE14(wz13, wz40, wz343, ba), wz40, wz344, ba)
15.63/6.26	   new_foldFM_LE16(wz13, wz40, Neg(Succ(wz34000)), wz341, wz342, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), wz344, ba) -> new_foldFM_LE16(wz13, wz40, wz3430, wz3431, wz3432, wz3433, wz3434, ba)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Zero, h) -> new_foldFM_LE15(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h)
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Succ(wz400), wz343, ba)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Succ(wz1960), Zero, h) -> new_foldFM_LE9(wz189, Succ(wz190), wz194, h)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Succ(wz1970), h) -> new_foldFM_LE9(wz189, Succ(wz190), wz194, h)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Succ(wz1970), h) -> new_foldFM_LE9(new_fmToList_LE02(wz191, wz192, new_foldFM_LE14(wz189, Succ(wz190), wz194, h), h), Succ(wz190), wz195, h)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Zero, wz343, ba)
15.63/6.26	   new_foldFM_LE17(wz31, wz6, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE16(new_fmToList_LE00(wz31, wz6, ba), Zero, wz340, wz341, wz342, wz343, wz344, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(new_fmToList_LE01(wz341, new_foldFM_LE14(wz13, Succ(wz400), wz343, ba), ba), Succ(wz400), wz344, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Succ(wz400), wz343, ba)
15.63/6.26	   new_foldFM_LE15(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h) -> new_foldFM_LE9(new_fmToList_LE02(wz191, wz192, new_foldFM_LE14(wz189, Succ(wz190), wz194, h), h), Succ(wz190), wz195, h)
15.63/6.26	   new_foldFM_LE18(wz3000, wz31, wz5, wz40, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE16(new_fmToList_LE0(wz3000, wz31, wz5, ba), wz40, wz340, wz341, wz342, wz343, wz344, ba)
15.63/6.26	   new_foldFM_LE15(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h) -> new_foldFM_LE9(wz189, Succ(wz190), wz194, h)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Zero, wz343, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Zero, wz343, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(:(@2(Neg(Zero), wz341), new_foldFM_LE14(wz13, Zero, wz343, ba)), Zero, wz344, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(:(@2(Pos(Zero), wz341), new_foldFM_LE14(wz13, Succ(wz400), wz343, ba)), Succ(wz400), wz344, ba)
15.63/6.26	
15.63/6.26	The TRS R consists of the following rules:
15.63/6.26	
15.63/6.26	   new_foldFM_LE19(wz13, Succ(wz400), Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE110(wz13, wz400, wz34000, wz341, wz342, wz343, wz344, wz34000, wz400, ba)
15.63/6.26	   new_foldFM_LE19(wz13, Zero, Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE14(wz13, Zero, wz343, ba)
15.63/6.26	   new_foldFM_LE19(wz13, wz40, Neg(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE22(wz34000, wz341, new_foldFM_LE14(wz13, wz40, wz343, ba), wz40, wz344, ba)
15.63/6.26	   new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Succ(wz1960), Succ(wz1970), h) -> new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, wz1960, wz1970, h)
15.63/6.26	   new_fmToList_LE00(wz31, wz6, ba) -> :(@2(Pos(Zero), wz31), wz6)
15.63/6.26	   new_foldFM_LE22(wz3000, wz31, wz5, wz40, EmptyFM, ba) -> new_fmToList_LE0(wz3000, wz31, wz5, ba)
15.63/6.26	   new_foldFM_LE19(wz13, Succ(wz400), Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE14(new_fmToList_LE01(wz341, new_foldFM_LE14(wz13, Succ(wz400), wz343, ba), ba), Succ(wz400), wz344, ba)
15.63/6.26	   new_fmToList_LE02(wz191, wz192, wz198, h) -> :(@2(Pos(Succ(wz191)), wz192), wz198)
15.63/6.26	   new_fmToList_LE0(wz3000, wz31, wz5, ba) -> :(@2(Neg(Succ(wz3000)), wz31), wz5)
15.63/6.26	   new_foldFM_LE111(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h) -> new_foldFM_LE14(new_fmToList_LE02(wz191, wz192, new_foldFM_LE14(wz189, Succ(wz190), wz194, h), h), Succ(wz190), wz195, h)
15.63/6.26	   new_foldFM_LE21(wz31, wz6, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE19(new_fmToList_LE00(wz31, wz6, ba), Zero, wz340, wz341, wz342, wz343, wz344, ba)
15.63/6.26	   new_foldFM_LE22(wz3000, wz31, wz5, wz40, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE19(new_fmToList_LE0(wz3000, wz31, wz5, ba), wz40, wz340, wz341, wz342, wz343, wz344, ba)
15.63/6.26	   new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Succ(wz1970), h) -> new_foldFM_LE111(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h)
15.63/6.26	   new_fmToList_LE01(wz31, wz8, ba) -> :(@2(Neg(Zero), wz31), wz8)
15.63/6.26	   new_foldFM_LE19(wz13, Succ(wz400), Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE14(new_fmToList_LE00(wz341, new_foldFM_LE14(wz13, Succ(wz400), wz343, ba), ba), Succ(wz400), wz344, ba)
15.63/6.26	   new_foldFM_LE14(wz13, wz40, EmptyFM, ba) -> wz13
15.63/6.26	   new_foldFM_LE19(wz13, Zero, Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE14(new_fmToList_LE01(wz341, new_foldFM_LE14(wz13, Zero, wz343, ba), ba), Zero, wz344, ba)
15.63/6.26	   new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Zero, h) -> new_foldFM_LE111(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h)
15.63/6.26	   new_foldFM_LE14(wz13, wz40, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), ba) -> new_foldFM_LE19(wz13, wz40, wz3430, wz3431, wz3432, wz3433, wz3434, ba)
15.63/6.26	   new_foldFM_LE19(wz13, Zero, Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE21(wz341, new_foldFM_LE14(wz13, Zero, wz343, ba), wz344, ba)
15.63/6.26	   new_foldFM_LE21(wz31, wz6, EmptyFM, ba) -> new_fmToList_LE00(wz31, wz6, ba)
15.63/6.26	   new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Succ(wz1960), Zero, h) -> new_foldFM_LE14(wz189, Succ(wz190), wz194, h)
15.63/6.26	
15.63/6.26	The set Q consists of the following terms:
15.63/6.26	
15.63/6.26	   new_fmToList_LE02(x0, x1, x2, x3)
15.63/6.26	   new_foldFM_LE19(x0, Succ(x1), Pos(Succ(x2)), x3, x4, x5, x6, x7)
15.63/6.26	   new_foldFM_LE19(x0, Succ(x1), Neg(Zero), x2, x3, x4, x5, x6)
15.63/6.26	   new_foldFM_LE110(x0, x1, x2, x3, x4, x5, x6, Zero, Succ(x7), x8)
15.63/6.26	   new_foldFM_LE110(x0, x1, x2, x3, x4, x5, x6, Zero, Zero, x7)
15.63/6.26	   new_foldFM_LE14(x0, x1, EmptyFM, x2)
15.63/6.26	   new_foldFM_LE19(x0, Succ(x1), Pos(Zero), x2, x3, x4, x5, x6)
15.63/6.26	   new_foldFM_LE22(x0, x1, x2, x3, Branch(x4, x5, x6, x7, x8), x9)
15.63/6.26	   new_foldFM_LE22(x0, x1, x2, x3, EmptyFM, x4)
15.63/6.26	   new_fmToList_LE01(x0, x1, x2)
15.63/6.26	   new_fmToList_LE00(x0, x1, x2)
15.63/6.26	   new_foldFM_LE21(x0, x1, Branch(x2, x3, x4, x5, x6), x7)
15.63/6.26	   new_foldFM_LE19(x0, x1, Neg(Succ(x2)), x3, x4, x5, x6, x7)
15.63/6.26	   new_foldFM_LE110(x0, x1, x2, x3, x4, x5, x6, Succ(x7), Zero, x8)
15.63/6.26	   new_foldFM_LE21(x0, x1, EmptyFM, x2)
15.63/6.26	   new_foldFM_LE110(x0, x1, x2, x3, x4, x5, x6, Succ(x7), Succ(x8), x9)
15.63/6.26	   new_foldFM_LE14(x0, x1, Branch(x2, x3, x4, x5, x6), x7)
15.63/6.26	   new_foldFM_LE19(x0, Zero, Pos(Succ(x1)), x2, x3, x4, x5, x6)
15.63/6.26	   new_foldFM_LE19(x0, Zero, Neg(Zero), x1, x2, x3, x4, x5)
15.63/6.26	   new_foldFM_LE111(x0, x1, x2, x3, x4, x5, x6, x7)
15.63/6.26	   new_fmToList_LE0(x0, x1, x2, x3)
15.63/6.26	   new_foldFM_LE19(x0, Zero, Pos(Zero), x1, x2, x3, x4, x5)
15.63/6.26	
15.63/6.26	We have to consider all minimal (P,Q,R)-chains.
15.63/6.26	----------------------------------------
15.63/6.26	
15.63/6.26	(30) TransformationProof (EQUIVALENT)
15.63/6.26	By rewriting [LPAR04] the rule new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Succ(wz1970), h) -> new_foldFM_LE9(new_fmToList_LE02(wz191, wz192, new_foldFM_LE14(wz189, Succ(wz190), wz194, h), h), Succ(wz190), wz195, h) at position [0] we obtained the following new rules [LPAR04]:
15.63/6.26	
15.63/6.26	   (new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Succ(wz1970), h) -> new_foldFM_LE9(:(@2(Pos(Succ(wz191)), wz192), new_foldFM_LE14(wz189, Succ(wz190), wz194, h)), Succ(wz190), wz195, h),new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Succ(wz1970), h) -> new_foldFM_LE9(:(@2(Pos(Succ(wz191)), wz192), new_foldFM_LE14(wz189, Succ(wz190), wz194, h)), Succ(wz190), wz195, h))
15.63/6.26	
15.63/6.26	
15.63/6.26	----------------------------------------
15.63/6.26	
15.63/6.26	(31)
15.63/6.26	Obligation:
15.63/6.26	Q DP problem:
15.63/6.26	The TRS P consists of the following rules:
15.63/6.26	
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE13(wz13, wz400, wz34000, wz341, wz342, wz343, wz344, wz34000, wz400, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE17(wz341, new_foldFM_LE14(wz13, Zero, wz343, ba), wz344, ba)
15.63/6.26	   new_foldFM_LE9(wz13, wz40, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), ba) -> new_foldFM_LE16(wz13, wz40, wz3430, wz3431, wz3432, wz3433, wz3434, ba)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Succ(wz1960), Succ(wz1970), h) -> new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, wz1960, wz1970, h)
15.63/6.26	   new_foldFM_LE16(wz13, wz40, Neg(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE18(wz34000, wz341, new_foldFM_LE14(wz13, wz40, wz343, ba), wz40, wz344, ba)
15.63/6.26	   new_foldFM_LE16(wz13, wz40, Neg(Succ(wz34000)), wz341, wz342, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), wz344, ba) -> new_foldFM_LE16(wz13, wz40, wz3430, wz3431, wz3432, wz3433, wz3434, ba)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Zero, h) -> new_foldFM_LE15(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h)
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Succ(wz400), wz343, ba)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Succ(wz1960), Zero, h) -> new_foldFM_LE9(wz189, Succ(wz190), wz194, h)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Succ(wz1970), h) -> new_foldFM_LE9(wz189, Succ(wz190), wz194, h)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Zero, wz343, ba)
15.63/6.26	   new_foldFM_LE17(wz31, wz6, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE16(new_fmToList_LE00(wz31, wz6, ba), Zero, wz340, wz341, wz342, wz343, wz344, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(new_fmToList_LE01(wz341, new_foldFM_LE14(wz13, Succ(wz400), wz343, ba), ba), Succ(wz400), wz344, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Succ(wz400), wz343, ba)
15.63/6.26	   new_foldFM_LE15(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h) -> new_foldFM_LE9(new_fmToList_LE02(wz191, wz192, new_foldFM_LE14(wz189, Succ(wz190), wz194, h), h), Succ(wz190), wz195, h)
15.63/6.26	   new_foldFM_LE18(wz3000, wz31, wz5, wz40, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE16(new_fmToList_LE0(wz3000, wz31, wz5, ba), wz40, wz340, wz341, wz342, wz343, wz344, ba)
15.63/6.26	   new_foldFM_LE15(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h) -> new_foldFM_LE9(wz189, Succ(wz190), wz194, h)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Zero, wz343, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Zero, wz343, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(:(@2(Neg(Zero), wz341), new_foldFM_LE14(wz13, Zero, wz343, ba)), Zero, wz344, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(:(@2(Pos(Zero), wz341), new_foldFM_LE14(wz13, Succ(wz400), wz343, ba)), Succ(wz400), wz344, ba)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Succ(wz1970), h) -> new_foldFM_LE9(:(@2(Pos(Succ(wz191)), wz192), new_foldFM_LE14(wz189, Succ(wz190), wz194, h)), Succ(wz190), wz195, h)
15.63/6.26	
15.63/6.26	The TRS R consists of the following rules:
15.63/6.26	
15.63/6.26	   new_foldFM_LE19(wz13, Succ(wz400), Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE110(wz13, wz400, wz34000, wz341, wz342, wz343, wz344, wz34000, wz400, ba)
15.63/6.26	   new_foldFM_LE19(wz13, Zero, Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE14(wz13, Zero, wz343, ba)
15.63/6.26	   new_foldFM_LE19(wz13, wz40, Neg(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE22(wz34000, wz341, new_foldFM_LE14(wz13, wz40, wz343, ba), wz40, wz344, ba)
15.63/6.26	   new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Succ(wz1960), Succ(wz1970), h) -> new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, wz1960, wz1970, h)
15.63/6.26	   new_fmToList_LE00(wz31, wz6, ba) -> :(@2(Pos(Zero), wz31), wz6)
15.63/6.26	   new_foldFM_LE22(wz3000, wz31, wz5, wz40, EmptyFM, ba) -> new_fmToList_LE0(wz3000, wz31, wz5, ba)
15.63/6.26	   new_foldFM_LE19(wz13, Succ(wz400), Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE14(new_fmToList_LE01(wz341, new_foldFM_LE14(wz13, Succ(wz400), wz343, ba), ba), Succ(wz400), wz344, ba)
15.63/6.26	   new_fmToList_LE02(wz191, wz192, wz198, h) -> :(@2(Pos(Succ(wz191)), wz192), wz198)
15.63/6.26	   new_fmToList_LE0(wz3000, wz31, wz5, ba) -> :(@2(Neg(Succ(wz3000)), wz31), wz5)
15.63/6.26	   new_foldFM_LE111(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h) -> new_foldFM_LE14(new_fmToList_LE02(wz191, wz192, new_foldFM_LE14(wz189, Succ(wz190), wz194, h), h), Succ(wz190), wz195, h)
15.63/6.26	   new_foldFM_LE21(wz31, wz6, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE19(new_fmToList_LE00(wz31, wz6, ba), Zero, wz340, wz341, wz342, wz343, wz344, ba)
15.63/6.26	   new_foldFM_LE22(wz3000, wz31, wz5, wz40, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE19(new_fmToList_LE0(wz3000, wz31, wz5, ba), wz40, wz340, wz341, wz342, wz343, wz344, ba)
15.63/6.26	   new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Succ(wz1970), h) -> new_foldFM_LE111(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h)
15.63/6.26	   new_fmToList_LE01(wz31, wz8, ba) -> :(@2(Neg(Zero), wz31), wz8)
15.63/6.26	   new_foldFM_LE19(wz13, Succ(wz400), Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE14(new_fmToList_LE00(wz341, new_foldFM_LE14(wz13, Succ(wz400), wz343, ba), ba), Succ(wz400), wz344, ba)
15.63/6.26	   new_foldFM_LE14(wz13, wz40, EmptyFM, ba) -> wz13
15.63/6.26	   new_foldFM_LE19(wz13, Zero, Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE14(new_fmToList_LE01(wz341, new_foldFM_LE14(wz13, Zero, wz343, ba), ba), Zero, wz344, ba)
15.63/6.26	   new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Zero, h) -> new_foldFM_LE111(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h)
15.63/6.26	   new_foldFM_LE14(wz13, wz40, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), ba) -> new_foldFM_LE19(wz13, wz40, wz3430, wz3431, wz3432, wz3433, wz3434, ba)
15.63/6.26	   new_foldFM_LE19(wz13, Zero, Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE21(wz341, new_foldFM_LE14(wz13, Zero, wz343, ba), wz344, ba)
15.63/6.26	   new_foldFM_LE21(wz31, wz6, EmptyFM, ba) -> new_fmToList_LE00(wz31, wz6, ba)
15.63/6.26	   new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Succ(wz1960), Zero, h) -> new_foldFM_LE14(wz189, Succ(wz190), wz194, h)
15.63/6.26	
15.63/6.26	The set Q consists of the following terms:
15.63/6.26	
15.63/6.26	   new_fmToList_LE02(x0, x1, x2, x3)
15.63/6.26	   new_foldFM_LE19(x0, Succ(x1), Pos(Succ(x2)), x3, x4, x5, x6, x7)
15.63/6.26	   new_foldFM_LE19(x0, Succ(x1), Neg(Zero), x2, x3, x4, x5, x6)
15.63/6.26	   new_foldFM_LE110(x0, x1, x2, x3, x4, x5, x6, Zero, Succ(x7), x8)
15.63/6.26	   new_foldFM_LE110(x0, x1, x2, x3, x4, x5, x6, Zero, Zero, x7)
15.63/6.26	   new_foldFM_LE14(x0, x1, EmptyFM, x2)
15.63/6.26	   new_foldFM_LE19(x0, Succ(x1), Pos(Zero), x2, x3, x4, x5, x6)
15.63/6.26	   new_foldFM_LE22(x0, x1, x2, x3, Branch(x4, x5, x6, x7, x8), x9)
15.63/6.26	   new_foldFM_LE22(x0, x1, x2, x3, EmptyFM, x4)
15.63/6.26	   new_fmToList_LE01(x0, x1, x2)
15.63/6.26	   new_fmToList_LE00(x0, x1, x2)
15.63/6.26	   new_foldFM_LE21(x0, x1, Branch(x2, x3, x4, x5, x6), x7)
15.63/6.26	   new_foldFM_LE19(x0, x1, Neg(Succ(x2)), x3, x4, x5, x6, x7)
15.63/6.26	   new_foldFM_LE110(x0, x1, x2, x3, x4, x5, x6, Succ(x7), Zero, x8)
15.63/6.26	   new_foldFM_LE21(x0, x1, EmptyFM, x2)
15.63/6.26	   new_foldFM_LE110(x0, x1, x2, x3, x4, x5, x6, Succ(x7), Succ(x8), x9)
15.63/6.26	   new_foldFM_LE14(x0, x1, Branch(x2, x3, x4, x5, x6), x7)
15.63/6.26	   new_foldFM_LE19(x0, Zero, Pos(Succ(x1)), x2, x3, x4, x5, x6)
15.63/6.26	   new_foldFM_LE19(x0, Zero, Neg(Zero), x1, x2, x3, x4, x5)
15.63/6.26	   new_foldFM_LE111(x0, x1, x2, x3, x4, x5, x6, x7)
15.63/6.26	   new_fmToList_LE0(x0, x1, x2, x3)
15.63/6.26	   new_foldFM_LE19(x0, Zero, Pos(Zero), x1, x2, x3, x4, x5)
15.63/6.26	
15.63/6.26	We have to consider all minimal (P,Q,R)-chains.
15.63/6.26	----------------------------------------
15.63/6.26	
15.63/6.26	(32) TransformationProof (EQUIVALENT)
15.63/6.26	By rewriting [LPAR04] the rule new_foldFM_LE17(wz31, wz6, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE16(new_fmToList_LE00(wz31, wz6, ba), Zero, wz340, wz341, wz342, wz343, wz344, ba) at position [0] we obtained the following new rules [LPAR04]:
15.63/6.26	
15.63/6.26	   (new_foldFM_LE17(wz31, wz6, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE16(:(@2(Pos(Zero), wz31), wz6), Zero, wz340, wz341, wz342, wz343, wz344, ba),new_foldFM_LE17(wz31, wz6, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE16(:(@2(Pos(Zero), wz31), wz6), Zero, wz340, wz341, wz342, wz343, wz344, ba))
15.63/6.26	
15.63/6.26	
15.63/6.26	----------------------------------------
15.63/6.26	
15.63/6.26	(33)
15.63/6.26	Obligation:
15.63/6.26	Q DP problem:
15.63/6.26	The TRS P consists of the following rules:
15.63/6.26	
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE13(wz13, wz400, wz34000, wz341, wz342, wz343, wz344, wz34000, wz400, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE17(wz341, new_foldFM_LE14(wz13, Zero, wz343, ba), wz344, ba)
15.63/6.26	   new_foldFM_LE9(wz13, wz40, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), ba) -> new_foldFM_LE16(wz13, wz40, wz3430, wz3431, wz3432, wz3433, wz3434, ba)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Succ(wz1960), Succ(wz1970), h) -> new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, wz1960, wz1970, h)
15.63/6.26	   new_foldFM_LE16(wz13, wz40, Neg(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE18(wz34000, wz341, new_foldFM_LE14(wz13, wz40, wz343, ba), wz40, wz344, ba)
15.63/6.26	   new_foldFM_LE16(wz13, wz40, Neg(Succ(wz34000)), wz341, wz342, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), wz344, ba) -> new_foldFM_LE16(wz13, wz40, wz3430, wz3431, wz3432, wz3433, wz3434, ba)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Zero, h) -> new_foldFM_LE15(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h)
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Succ(wz400), wz343, ba)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Succ(wz1960), Zero, h) -> new_foldFM_LE9(wz189, Succ(wz190), wz194, h)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Succ(wz1970), h) -> new_foldFM_LE9(wz189, Succ(wz190), wz194, h)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Zero, wz343, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(new_fmToList_LE01(wz341, new_foldFM_LE14(wz13, Succ(wz400), wz343, ba), ba), Succ(wz400), wz344, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Succ(wz400), wz343, ba)
15.63/6.26	   new_foldFM_LE15(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h) -> new_foldFM_LE9(new_fmToList_LE02(wz191, wz192, new_foldFM_LE14(wz189, Succ(wz190), wz194, h), h), Succ(wz190), wz195, h)
15.63/6.26	   new_foldFM_LE18(wz3000, wz31, wz5, wz40, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE16(new_fmToList_LE0(wz3000, wz31, wz5, ba), wz40, wz340, wz341, wz342, wz343, wz344, ba)
15.63/6.26	   new_foldFM_LE15(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h) -> new_foldFM_LE9(wz189, Succ(wz190), wz194, h)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Zero, wz343, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Zero, wz343, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(:(@2(Neg(Zero), wz341), new_foldFM_LE14(wz13, Zero, wz343, ba)), Zero, wz344, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(:(@2(Pos(Zero), wz341), new_foldFM_LE14(wz13, Succ(wz400), wz343, ba)), Succ(wz400), wz344, ba)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Succ(wz1970), h) -> new_foldFM_LE9(:(@2(Pos(Succ(wz191)), wz192), new_foldFM_LE14(wz189, Succ(wz190), wz194, h)), Succ(wz190), wz195, h)
15.63/6.26	   new_foldFM_LE17(wz31, wz6, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE16(:(@2(Pos(Zero), wz31), wz6), Zero, wz340, wz341, wz342, wz343, wz344, ba)
15.63/6.26	
15.63/6.26	The TRS R consists of the following rules:
15.63/6.26	
15.63/6.26	   new_foldFM_LE19(wz13, Succ(wz400), Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE110(wz13, wz400, wz34000, wz341, wz342, wz343, wz344, wz34000, wz400, ba)
15.63/6.26	   new_foldFM_LE19(wz13, Zero, Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE14(wz13, Zero, wz343, ba)
15.63/6.26	   new_foldFM_LE19(wz13, wz40, Neg(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE22(wz34000, wz341, new_foldFM_LE14(wz13, wz40, wz343, ba), wz40, wz344, ba)
15.63/6.26	   new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Succ(wz1960), Succ(wz1970), h) -> new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, wz1960, wz1970, h)
15.63/6.26	   new_fmToList_LE00(wz31, wz6, ba) -> :(@2(Pos(Zero), wz31), wz6)
15.63/6.26	   new_foldFM_LE22(wz3000, wz31, wz5, wz40, EmptyFM, ba) -> new_fmToList_LE0(wz3000, wz31, wz5, ba)
15.63/6.26	   new_foldFM_LE19(wz13, Succ(wz400), Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE14(new_fmToList_LE01(wz341, new_foldFM_LE14(wz13, Succ(wz400), wz343, ba), ba), Succ(wz400), wz344, ba)
15.63/6.26	   new_fmToList_LE02(wz191, wz192, wz198, h) -> :(@2(Pos(Succ(wz191)), wz192), wz198)
15.63/6.26	   new_fmToList_LE0(wz3000, wz31, wz5, ba) -> :(@2(Neg(Succ(wz3000)), wz31), wz5)
15.63/6.26	   new_foldFM_LE111(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h) -> new_foldFM_LE14(new_fmToList_LE02(wz191, wz192, new_foldFM_LE14(wz189, Succ(wz190), wz194, h), h), Succ(wz190), wz195, h)
15.63/6.26	   new_foldFM_LE21(wz31, wz6, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE19(new_fmToList_LE00(wz31, wz6, ba), Zero, wz340, wz341, wz342, wz343, wz344, ba)
15.63/6.26	   new_foldFM_LE22(wz3000, wz31, wz5, wz40, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE19(new_fmToList_LE0(wz3000, wz31, wz5, ba), wz40, wz340, wz341, wz342, wz343, wz344, ba)
15.63/6.26	   new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Succ(wz1970), h) -> new_foldFM_LE111(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h)
15.63/6.26	   new_fmToList_LE01(wz31, wz8, ba) -> :(@2(Neg(Zero), wz31), wz8)
15.63/6.26	   new_foldFM_LE19(wz13, Succ(wz400), Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE14(new_fmToList_LE00(wz341, new_foldFM_LE14(wz13, Succ(wz400), wz343, ba), ba), Succ(wz400), wz344, ba)
15.63/6.26	   new_foldFM_LE14(wz13, wz40, EmptyFM, ba) -> wz13
15.63/6.26	   new_foldFM_LE19(wz13, Zero, Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE14(new_fmToList_LE01(wz341, new_foldFM_LE14(wz13, Zero, wz343, ba), ba), Zero, wz344, ba)
15.63/6.26	   new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Zero, h) -> new_foldFM_LE111(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h)
15.63/6.26	   new_foldFM_LE14(wz13, wz40, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), ba) -> new_foldFM_LE19(wz13, wz40, wz3430, wz3431, wz3432, wz3433, wz3434, ba)
15.63/6.26	   new_foldFM_LE19(wz13, Zero, Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE21(wz341, new_foldFM_LE14(wz13, Zero, wz343, ba), wz344, ba)
15.63/6.26	   new_foldFM_LE21(wz31, wz6, EmptyFM, ba) -> new_fmToList_LE00(wz31, wz6, ba)
15.63/6.26	   new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Succ(wz1960), Zero, h) -> new_foldFM_LE14(wz189, Succ(wz190), wz194, h)
15.63/6.26	
15.63/6.26	The set Q consists of the following terms:
15.63/6.26	
15.63/6.26	   new_fmToList_LE02(x0, x1, x2, x3)
15.63/6.26	   new_foldFM_LE19(x0, Succ(x1), Pos(Succ(x2)), x3, x4, x5, x6, x7)
15.63/6.26	   new_foldFM_LE19(x0, Succ(x1), Neg(Zero), x2, x3, x4, x5, x6)
15.63/6.26	   new_foldFM_LE110(x0, x1, x2, x3, x4, x5, x6, Zero, Succ(x7), x8)
15.63/6.26	   new_foldFM_LE110(x0, x1, x2, x3, x4, x5, x6, Zero, Zero, x7)
15.63/6.26	   new_foldFM_LE14(x0, x1, EmptyFM, x2)
15.63/6.26	   new_foldFM_LE19(x0, Succ(x1), Pos(Zero), x2, x3, x4, x5, x6)
15.63/6.26	   new_foldFM_LE22(x0, x1, x2, x3, Branch(x4, x5, x6, x7, x8), x9)
15.63/6.26	   new_foldFM_LE22(x0, x1, x2, x3, EmptyFM, x4)
15.63/6.26	   new_fmToList_LE01(x0, x1, x2)
15.63/6.26	   new_fmToList_LE00(x0, x1, x2)
15.63/6.26	   new_foldFM_LE21(x0, x1, Branch(x2, x3, x4, x5, x6), x7)
15.63/6.26	   new_foldFM_LE19(x0, x1, Neg(Succ(x2)), x3, x4, x5, x6, x7)
15.63/6.26	   new_foldFM_LE110(x0, x1, x2, x3, x4, x5, x6, Succ(x7), Zero, x8)
15.63/6.26	   new_foldFM_LE21(x0, x1, EmptyFM, x2)
15.63/6.26	   new_foldFM_LE110(x0, x1, x2, x3, x4, x5, x6, Succ(x7), Succ(x8), x9)
15.63/6.26	   new_foldFM_LE14(x0, x1, Branch(x2, x3, x4, x5, x6), x7)
15.63/6.26	   new_foldFM_LE19(x0, Zero, Pos(Succ(x1)), x2, x3, x4, x5, x6)
15.63/6.26	   new_foldFM_LE19(x0, Zero, Neg(Zero), x1, x2, x3, x4, x5)
15.63/6.26	   new_foldFM_LE111(x0, x1, x2, x3, x4, x5, x6, x7)
15.63/6.26	   new_fmToList_LE0(x0, x1, x2, x3)
15.63/6.26	   new_foldFM_LE19(x0, Zero, Pos(Zero), x1, x2, x3, x4, x5)
15.63/6.26	
15.63/6.26	We have to consider all minimal (P,Q,R)-chains.
15.63/6.26	----------------------------------------
15.63/6.26	
15.63/6.26	(34) TransformationProof (EQUIVALENT)
15.63/6.26	By rewriting [LPAR04] the rule new_foldFM_LE16(wz13, Succ(wz400), Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(new_fmToList_LE01(wz341, new_foldFM_LE14(wz13, Succ(wz400), wz343, ba), ba), Succ(wz400), wz344, ba) at position [0] we obtained the following new rules [LPAR04]:
15.63/6.26	
15.63/6.26	   (new_foldFM_LE16(wz13, Succ(wz400), Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(:(@2(Neg(Zero), wz341), new_foldFM_LE14(wz13, Succ(wz400), wz343, ba)), Succ(wz400), wz344, ba),new_foldFM_LE16(wz13, Succ(wz400), Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(:(@2(Neg(Zero), wz341), new_foldFM_LE14(wz13, Succ(wz400), wz343, ba)), Succ(wz400), wz344, ba))
15.63/6.26	
15.63/6.26	
15.63/6.26	----------------------------------------
15.63/6.26	
15.63/6.26	(35)
15.63/6.26	Obligation:
15.63/6.26	Q DP problem:
15.63/6.26	The TRS P consists of the following rules:
15.63/6.26	
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE13(wz13, wz400, wz34000, wz341, wz342, wz343, wz344, wz34000, wz400, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE17(wz341, new_foldFM_LE14(wz13, Zero, wz343, ba), wz344, ba)
15.63/6.26	   new_foldFM_LE9(wz13, wz40, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), ba) -> new_foldFM_LE16(wz13, wz40, wz3430, wz3431, wz3432, wz3433, wz3434, ba)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Succ(wz1960), Succ(wz1970), h) -> new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, wz1960, wz1970, h)
15.63/6.26	   new_foldFM_LE16(wz13, wz40, Neg(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE18(wz34000, wz341, new_foldFM_LE14(wz13, wz40, wz343, ba), wz40, wz344, ba)
15.63/6.26	   new_foldFM_LE16(wz13, wz40, Neg(Succ(wz34000)), wz341, wz342, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), wz344, ba) -> new_foldFM_LE16(wz13, wz40, wz3430, wz3431, wz3432, wz3433, wz3434, ba)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Zero, h) -> new_foldFM_LE15(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h)
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Succ(wz400), wz343, ba)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Succ(wz1960), Zero, h) -> new_foldFM_LE9(wz189, Succ(wz190), wz194, h)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Succ(wz1970), h) -> new_foldFM_LE9(wz189, Succ(wz190), wz194, h)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Zero, wz343, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Succ(wz400), wz343, ba)
15.63/6.26	   new_foldFM_LE15(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h) -> new_foldFM_LE9(new_fmToList_LE02(wz191, wz192, new_foldFM_LE14(wz189, Succ(wz190), wz194, h), h), Succ(wz190), wz195, h)
15.63/6.26	   new_foldFM_LE18(wz3000, wz31, wz5, wz40, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE16(new_fmToList_LE0(wz3000, wz31, wz5, ba), wz40, wz340, wz341, wz342, wz343, wz344, ba)
15.63/6.26	   new_foldFM_LE15(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h) -> new_foldFM_LE9(wz189, Succ(wz190), wz194, h)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Zero, wz343, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Zero, wz343, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(:(@2(Neg(Zero), wz341), new_foldFM_LE14(wz13, Zero, wz343, ba)), Zero, wz344, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(:(@2(Pos(Zero), wz341), new_foldFM_LE14(wz13, Succ(wz400), wz343, ba)), Succ(wz400), wz344, ba)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Succ(wz1970), h) -> new_foldFM_LE9(:(@2(Pos(Succ(wz191)), wz192), new_foldFM_LE14(wz189, Succ(wz190), wz194, h)), Succ(wz190), wz195, h)
15.63/6.26	   new_foldFM_LE17(wz31, wz6, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE16(:(@2(Pos(Zero), wz31), wz6), Zero, wz340, wz341, wz342, wz343, wz344, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(:(@2(Neg(Zero), wz341), new_foldFM_LE14(wz13, Succ(wz400), wz343, ba)), Succ(wz400), wz344, ba)
15.63/6.26	
15.63/6.26	The TRS R consists of the following rules:
15.63/6.26	
15.63/6.26	   new_foldFM_LE19(wz13, Succ(wz400), Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE110(wz13, wz400, wz34000, wz341, wz342, wz343, wz344, wz34000, wz400, ba)
15.63/6.26	   new_foldFM_LE19(wz13, Zero, Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE14(wz13, Zero, wz343, ba)
15.63/6.26	   new_foldFM_LE19(wz13, wz40, Neg(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE22(wz34000, wz341, new_foldFM_LE14(wz13, wz40, wz343, ba), wz40, wz344, ba)
15.63/6.26	   new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Succ(wz1960), Succ(wz1970), h) -> new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, wz1960, wz1970, h)
15.63/6.26	   new_fmToList_LE00(wz31, wz6, ba) -> :(@2(Pos(Zero), wz31), wz6)
15.63/6.26	   new_foldFM_LE22(wz3000, wz31, wz5, wz40, EmptyFM, ba) -> new_fmToList_LE0(wz3000, wz31, wz5, ba)
15.63/6.26	   new_foldFM_LE19(wz13, Succ(wz400), Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE14(new_fmToList_LE01(wz341, new_foldFM_LE14(wz13, Succ(wz400), wz343, ba), ba), Succ(wz400), wz344, ba)
15.63/6.26	   new_fmToList_LE02(wz191, wz192, wz198, h) -> :(@2(Pos(Succ(wz191)), wz192), wz198)
15.63/6.26	   new_fmToList_LE0(wz3000, wz31, wz5, ba) -> :(@2(Neg(Succ(wz3000)), wz31), wz5)
15.63/6.26	   new_foldFM_LE111(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h) -> new_foldFM_LE14(new_fmToList_LE02(wz191, wz192, new_foldFM_LE14(wz189, Succ(wz190), wz194, h), h), Succ(wz190), wz195, h)
15.63/6.26	   new_foldFM_LE21(wz31, wz6, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE19(new_fmToList_LE00(wz31, wz6, ba), Zero, wz340, wz341, wz342, wz343, wz344, ba)
15.63/6.26	   new_foldFM_LE22(wz3000, wz31, wz5, wz40, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE19(new_fmToList_LE0(wz3000, wz31, wz5, ba), wz40, wz340, wz341, wz342, wz343, wz344, ba)
15.63/6.26	   new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Succ(wz1970), h) -> new_foldFM_LE111(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h)
15.63/6.26	   new_fmToList_LE01(wz31, wz8, ba) -> :(@2(Neg(Zero), wz31), wz8)
15.63/6.26	   new_foldFM_LE19(wz13, Succ(wz400), Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE14(new_fmToList_LE00(wz341, new_foldFM_LE14(wz13, Succ(wz400), wz343, ba), ba), Succ(wz400), wz344, ba)
15.63/6.26	   new_foldFM_LE14(wz13, wz40, EmptyFM, ba) -> wz13
15.63/6.26	   new_foldFM_LE19(wz13, Zero, Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE14(new_fmToList_LE01(wz341, new_foldFM_LE14(wz13, Zero, wz343, ba), ba), Zero, wz344, ba)
15.63/6.26	   new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Zero, h) -> new_foldFM_LE111(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h)
15.63/6.26	   new_foldFM_LE14(wz13, wz40, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), ba) -> new_foldFM_LE19(wz13, wz40, wz3430, wz3431, wz3432, wz3433, wz3434, ba)
15.63/6.26	   new_foldFM_LE19(wz13, Zero, Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE21(wz341, new_foldFM_LE14(wz13, Zero, wz343, ba), wz344, ba)
15.63/6.26	   new_foldFM_LE21(wz31, wz6, EmptyFM, ba) -> new_fmToList_LE00(wz31, wz6, ba)
15.63/6.26	   new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Succ(wz1960), Zero, h) -> new_foldFM_LE14(wz189, Succ(wz190), wz194, h)
15.63/6.26	
15.63/6.26	The set Q consists of the following terms:
15.63/6.26	
15.63/6.26	   new_fmToList_LE02(x0, x1, x2, x3)
15.63/6.26	   new_foldFM_LE19(x0, Succ(x1), Pos(Succ(x2)), x3, x4, x5, x6, x7)
15.63/6.26	   new_foldFM_LE19(x0, Succ(x1), Neg(Zero), x2, x3, x4, x5, x6)
15.63/6.26	   new_foldFM_LE110(x0, x1, x2, x3, x4, x5, x6, Zero, Succ(x7), x8)
15.63/6.26	   new_foldFM_LE110(x0, x1, x2, x3, x4, x5, x6, Zero, Zero, x7)
15.63/6.26	   new_foldFM_LE14(x0, x1, EmptyFM, x2)
15.63/6.26	   new_foldFM_LE19(x0, Succ(x1), Pos(Zero), x2, x3, x4, x5, x6)
15.63/6.26	   new_foldFM_LE22(x0, x1, x2, x3, Branch(x4, x5, x6, x7, x8), x9)
15.63/6.26	   new_foldFM_LE22(x0, x1, x2, x3, EmptyFM, x4)
15.63/6.26	   new_fmToList_LE01(x0, x1, x2)
15.63/6.26	   new_fmToList_LE00(x0, x1, x2)
15.63/6.26	   new_foldFM_LE21(x0, x1, Branch(x2, x3, x4, x5, x6), x7)
15.63/6.26	   new_foldFM_LE19(x0, x1, Neg(Succ(x2)), x3, x4, x5, x6, x7)
15.63/6.26	   new_foldFM_LE110(x0, x1, x2, x3, x4, x5, x6, Succ(x7), Zero, x8)
15.63/6.26	   new_foldFM_LE21(x0, x1, EmptyFM, x2)
15.63/6.26	   new_foldFM_LE110(x0, x1, x2, x3, x4, x5, x6, Succ(x7), Succ(x8), x9)
15.63/6.26	   new_foldFM_LE14(x0, x1, Branch(x2, x3, x4, x5, x6), x7)
15.63/6.26	   new_foldFM_LE19(x0, Zero, Pos(Succ(x1)), x2, x3, x4, x5, x6)
15.63/6.26	   new_foldFM_LE19(x0, Zero, Neg(Zero), x1, x2, x3, x4, x5)
15.63/6.26	   new_foldFM_LE111(x0, x1, x2, x3, x4, x5, x6, x7)
15.63/6.26	   new_fmToList_LE0(x0, x1, x2, x3)
15.63/6.26	   new_foldFM_LE19(x0, Zero, Pos(Zero), x1, x2, x3, x4, x5)
15.63/6.26	
15.63/6.26	We have to consider all minimal (P,Q,R)-chains.
15.63/6.26	----------------------------------------
15.63/6.26	
15.63/6.26	(36) TransformationProof (EQUIVALENT)
15.63/6.26	By rewriting [LPAR04] the rule new_foldFM_LE15(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h) -> new_foldFM_LE9(new_fmToList_LE02(wz191, wz192, new_foldFM_LE14(wz189, Succ(wz190), wz194, h), h), Succ(wz190), wz195, h) at position [0] we obtained the following new rules [LPAR04]:
15.63/6.26	
15.63/6.26	   (new_foldFM_LE15(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h) -> new_foldFM_LE9(:(@2(Pos(Succ(wz191)), wz192), new_foldFM_LE14(wz189, Succ(wz190), wz194, h)), Succ(wz190), wz195, h),new_foldFM_LE15(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h) -> new_foldFM_LE9(:(@2(Pos(Succ(wz191)), wz192), new_foldFM_LE14(wz189, Succ(wz190), wz194, h)), Succ(wz190), wz195, h))
15.63/6.26	
15.63/6.26	
15.63/6.26	----------------------------------------
15.63/6.26	
15.63/6.26	(37)
15.63/6.26	Obligation:
15.63/6.26	Q DP problem:
15.63/6.26	The TRS P consists of the following rules:
15.63/6.26	
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE13(wz13, wz400, wz34000, wz341, wz342, wz343, wz344, wz34000, wz400, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE17(wz341, new_foldFM_LE14(wz13, Zero, wz343, ba), wz344, ba)
15.63/6.26	   new_foldFM_LE9(wz13, wz40, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), ba) -> new_foldFM_LE16(wz13, wz40, wz3430, wz3431, wz3432, wz3433, wz3434, ba)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Succ(wz1960), Succ(wz1970), h) -> new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, wz1960, wz1970, h)
15.63/6.26	   new_foldFM_LE16(wz13, wz40, Neg(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE18(wz34000, wz341, new_foldFM_LE14(wz13, wz40, wz343, ba), wz40, wz344, ba)
15.63/6.26	   new_foldFM_LE16(wz13, wz40, Neg(Succ(wz34000)), wz341, wz342, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), wz344, ba) -> new_foldFM_LE16(wz13, wz40, wz3430, wz3431, wz3432, wz3433, wz3434, ba)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Zero, h) -> new_foldFM_LE15(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h)
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Succ(wz400), wz343, ba)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Succ(wz1960), Zero, h) -> new_foldFM_LE9(wz189, Succ(wz190), wz194, h)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Succ(wz1970), h) -> new_foldFM_LE9(wz189, Succ(wz190), wz194, h)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Zero, wz343, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Succ(wz400), wz343, ba)
15.63/6.26	   new_foldFM_LE18(wz3000, wz31, wz5, wz40, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE16(new_fmToList_LE0(wz3000, wz31, wz5, ba), wz40, wz340, wz341, wz342, wz343, wz344, ba)
15.63/6.26	   new_foldFM_LE15(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h) -> new_foldFM_LE9(wz189, Succ(wz190), wz194, h)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Zero, wz343, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Zero, wz343, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(:(@2(Neg(Zero), wz341), new_foldFM_LE14(wz13, Zero, wz343, ba)), Zero, wz344, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(:(@2(Pos(Zero), wz341), new_foldFM_LE14(wz13, Succ(wz400), wz343, ba)), Succ(wz400), wz344, ba)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Succ(wz1970), h) -> new_foldFM_LE9(:(@2(Pos(Succ(wz191)), wz192), new_foldFM_LE14(wz189, Succ(wz190), wz194, h)), Succ(wz190), wz195, h)
15.63/6.26	   new_foldFM_LE17(wz31, wz6, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE16(:(@2(Pos(Zero), wz31), wz6), Zero, wz340, wz341, wz342, wz343, wz344, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(:(@2(Neg(Zero), wz341), new_foldFM_LE14(wz13, Succ(wz400), wz343, ba)), Succ(wz400), wz344, ba)
15.63/6.26	   new_foldFM_LE15(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h) -> new_foldFM_LE9(:(@2(Pos(Succ(wz191)), wz192), new_foldFM_LE14(wz189, Succ(wz190), wz194, h)), Succ(wz190), wz195, h)
15.63/6.26	
15.63/6.26	The TRS R consists of the following rules:
15.63/6.26	
15.63/6.26	   new_foldFM_LE19(wz13, Succ(wz400), Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE110(wz13, wz400, wz34000, wz341, wz342, wz343, wz344, wz34000, wz400, ba)
15.63/6.26	   new_foldFM_LE19(wz13, Zero, Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE14(wz13, Zero, wz343, ba)
15.63/6.26	   new_foldFM_LE19(wz13, wz40, Neg(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE22(wz34000, wz341, new_foldFM_LE14(wz13, wz40, wz343, ba), wz40, wz344, ba)
15.63/6.26	   new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Succ(wz1960), Succ(wz1970), h) -> new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, wz1960, wz1970, h)
15.63/6.26	   new_fmToList_LE00(wz31, wz6, ba) -> :(@2(Pos(Zero), wz31), wz6)
15.63/6.26	   new_foldFM_LE22(wz3000, wz31, wz5, wz40, EmptyFM, ba) -> new_fmToList_LE0(wz3000, wz31, wz5, ba)
15.63/6.26	   new_foldFM_LE19(wz13, Succ(wz400), Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE14(new_fmToList_LE01(wz341, new_foldFM_LE14(wz13, Succ(wz400), wz343, ba), ba), Succ(wz400), wz344, ba)
15.63/6.26	   new_fmToList_LE02(wz191, wz192, wz198, h) -> :(@2(Pos(Succ(wz191)), wz192), wz198)
15.63/6.26	   new_fmToList_LE0(wz3000, wz31, wz5, ba) -> :(@2(Neg(Succ(wz3000)), wz31), wz5)
15.63/6.26	   new_foldFM_LE111(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h) -> new_foldFM_LE14(new_fmToList_LE02(wz191, wz192, new_foldFM_LE14(wz189, Succ(wz190), wz194, h), h), Succ(wz190), wz195, h)
15.63/6.26	   new_foldFM_LE21(wz31, wz6, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE19(new_fmToList_LE00(wz31, wz6, ba), Zero, wz340, wz341, wz342, wz343, wz344, ba)
15.63/6.26	   new_foldFM_LE22(wz3000, wz31, wz5, wz40, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE19(new_fmToList_LE0(wz3000, wz31, wz5, ba), wz40, wz340, wz341, wz342, wz343, wz344, ba)
15.63/6.26	   new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Succ(wz1970), h) -> new_foldFM_LE111(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h)
15.63/6.26	   new_fmToList_LE01(wz31, wz8, ba) -> :(@2(Neg(Zero), wz31), wz8)
15.63/6.26	   new_foldFM_LE19(wz13, Succ(wz400), Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE14(new_fmToList_LE00(wz341, new_foldFM_LE14(wz13, Succ(wz400), wz343, ba), ba), Succ(wz400), wz344, ba)
15.63/6.26	   new_foldFM_LE14(wz13, wz40, EmptyFM, ba) -> wz13
15.63/6.26	   new_foldFM_LE19(wz13, Zero, Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE14(new_fmToList_LE01(wz341, new_foldFM_LE14(wz13, Zero, wz343, ba), ba), Zero, wz344, ba)
15.63/6.26	   new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Zero, h) -> new_foldFM_LE111(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h)
15.63/6.26	   new_foldFM_LE14(wz13, wz40, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), ba) -> new_foldFM_LE19(wz13, wz40, wz3430, wz3431, wz3432, wz3433, wz3434, ba)
15.63/6.26	   new_foldFM_LE19(wz13, Zero, Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE21(wz341, new_foldFM_LE14(wz13, Zero, wz343, ba), wz344, ba)
15.63/6.26	   new_foldFM_LE21(wz31, wz6, EmptyFM, ba) -> new_fmToList_LE00(wz31, wz6, ba)
15.63/6.26	   new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Succ(wz1960), Zero, h) -> new_foldFM_LE14(wz189, Succ(wz190), wz194, h)
15.63/6.26	
15.63/6.26	The set Q consists of the following terms:
15.63/6.26	
15.63/6.26	   new_fmToList_LE02(x0, x1, x2, x3)
15.63/6.26	   new_foldFM_LE19(x0, Succ(x1), Pos(Succ(x2)), x3, x4, x5, x6, x7)
15.63/6.26	   new_foldFM_LE19(x0, Succ(x1), Neg(Zero), x2, x3, x4, x5, x6)
15.63/6.26	   new_foldFM_LE110(x0, x1, x2, x3, x4, x5, x6, Zero, Succ(x7), x8)
15.63/6.26	   new_foldFM_LE110(x0, x1, x2, x3, x4, x5, x6, Zero, Zero, x7)
15.63/6.26	   new_foldFM_LE14(x0, x1, EmptyFM, x2)
15.63/6.26	   new_foldFM_LE19(x0, Succ(x1), Pos(Zero), x2, x3, x4, x5, x6)
15.63/6.26	   new_foldFM_LE22(x0, x1, x2, x3, Branch(x4, x5, x6, x7, x8), x9)
15.63/6.26	   new_foldFM_LE22(x0, x1, x2, x3, EmptyFM, x4)
15.63/6.26	   new_fmToList_LE01(x0, x1, x2)
15.63/6.26	   new_fmToList_LE00(x0, x1, x2)
15.63/6.26	   new_foldFM_LE21(x0, x1, Branch(x2, x3, x4, x5, x6), x7)
15.63/6.26	   new_foldFM_LE19(x0, x1, Neg(Succ(x2)), x3, x4, x5, x6, x7)
15.63/6.26	   new_foldFM_LE110(x0, x1, x2, x3, x4, x5, x6, Succ(x7), Zero, x8)
15.63/6.26	   new_foldFM_LE21(x0, x1, EmptyFM, x2)
15.63/6.26	   new_foldFM_LE110(x0, x1, x2, x3, x4, x5, x6, Succ(x7), Succ(x8), x9)
15.63/6.26	   new_foldFM_LE14(x0, x1, Branch(x2, x3, x4, x5, x6), x7)
15.63/6.26	   new_foldFM_LE19(x0, Zero, Pos(Succ(x1)), x2, x3, x4, x5, x6)
15.63/6.26	   new_foldFM_LE19(x0, Zero, Neg(Zero), x1, x2, x3, x4, x5)
15.63/6.26	   new_foldFM_LE111(x0, x1, x2, x3, x4, x5, x6, x7)
15.63/6.26	   new_fmToList_LE0(x0, x1, x2, x3)
15.63/6.26	   new_foldFM_LE19(x0, Zero, Pos(Zero), x1, x2, x3, x4, x5)
15.63/6.26	
15.63/6.26	We have to consider all minimal (P,Q,R)-chains.
15.63/6.26	----------------------------------------
15.63/6.26	
15.63/6.26	(38) TransformationProof (EQUIVALENT)
15.63/6.26	By rewriting [LPAR04] the rule new_foldFM_LE18(wz3000, wz31, wz5, wz40, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE16(new_fmToList_LE0(wz3000, wz31, wz5, ba), wz40, wz340, wz341, wz342, wz343, wz344, ba) at position [0] we obtained the following new rules [LPAR04]:
15.63/6.26	
15.63/6.26	   (new_foldFM_LE18(wz3000, wz31, wz5, wz40, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE16(:(@2(Neg(Succ(wz3000)), wz31), wz5), wz40, wz340, wz341, wz342, wz343, wz344, ba),new_foldFM_LE18(wz3000, wz31, wz5, wz40, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE16(:(@2(Neg(Succ(wz3000)), wz31), wz5), wz40, wz340, wz341, wz342, wz343, wz344, ba))
15.63/6.26	
15.63/6.26	
15.63/6.26	----------------------------------------
15.63/6.26	
15.63/6.26	(39)
15.63/6.26	Obligation:
15.63/6.26	Q DP problem:
15.63/6.26	The TRS P consists of the following rules:
15.63/6.26	
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE13(wz13, wz400, wz34000, wz341, wz342, wz343, wz344, wz34000, wz400, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE17(wz341, new_foldFM_LE14(wz13, Zero, wz343, ba), wz344, ba)
15.63/6.26	   new_foldFM_LE9(wz13, wz40, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), ba) -> new_foldFM_LE16(wz13, wz40, wz3430, wz3431, wz3432, wz3433, wz3434, ba)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Succ(wz1960), Succ(wz1970), h) -> new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, wz1960, wz1970, h)
15.63/6.26	   new_foldFM_LE16(wz13, wz40, Neg(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE18(wz34000, wz341, new_foldFM_LE14(wz13, wz40, wz343, ba), wz40, wz344, ba)
15.63/6.26	   new_foldFM_LE16(wz13, wz40, Neg(Succ(wz34000)), wz341, wz342, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), wz344, ba) -> new_foldFM_LE16(wz13, wz40, wz3430, wz3431, wz3432, wz3433, wz3434, ba)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Zero, h) -> new_foldFM_LE15(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h)
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Succ(wz400), wz343, ba)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Succ(wz1960), Zero, h) -> new_foldFM_LE9(wz189, Succ(wz190), wz194, h)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Succ(wz1970), h) -> new_foldFM_LE9(wz189, Succ(wz190), wz194, h)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Zero, wz343, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Succ(wz400), wz343, ba)
15.63/6.26	   new_foldFM_LE15(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h) -> new_foldFM_LE9(wz189, Succ(wz190), wz194, h)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Zero, wz343, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Zero, wz343, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Zero, Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(:(@2(Neg(Zero), wz341), new_foldFM_LE14(wz13, Zero, wz343, ba)), Zero, wz344, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(:(@2(Pos(Zero), wz341), new_foldFM_LE14(wz13, Succ(wz400), wz343, ba)), Succ(wz400), wz344, ba)
15.63/6.26	   new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Succ(wz1970), h) -> new_foldFM_LE9(:(@2(Pos(Succ(wz191)), wz192), new_foldFM_LE14(wz189, Succ(wz190), wz194, h)), Succ(wz190), wz195, h)
15.63/6.26	   new_foldFM_LE17(wz31, wz6, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE16(:(@2(Pos(Zero), wz31), wz6), Zero, wz340, wz341, wz342, wz343, wz344, ba)
15.63/6.26	   new_foldFM_LE16(wz13, Succ(wz400), Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(:(@2(Neg(Zero), wz341), new_foldFM_LE14(wz13, Succ(wz400), wz343, ba)), Succ(wz400), wz344, ba)
15.63/6.26	   new_foldFM_LE15(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h) -> new_foldFM_LE9(:(@2(Pos(Succ(wz191)), wz192), new_foldFM_LE14(wz189, Succ(wz190), wz194, h)), Succ(wz190), wz195, h)
15.63/6.26	   new_foldFM_LE18(wz3000, wz31, wz5, wz40, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE16(:(@2(Neg(Succ(wz3000)), wz31), wz5), wz40, wz340, wz341, wz342, wz343, wz344, ba)
15.63/6.26	
15.63/6.26	The TRS R consists of the following rules:
15.63/6.26	
15.63/6.26	   new_foldFM_LE19(wz13, Succ(wz400), Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE110(wz13, wz400, wz34000, wz341, wz342, wz343, wz344, wz34000, wz400, ba)
15.63/6.26	   new_foldFM_LE19(wz13, Zero, Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE14(wz13, Zero, wz343, ba)
15.63/6.26	   new_foldFM_LE19(wz13, wz40, Neg(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE22(wz34000, wz341, new_foldFM_LE14(wz13, wz40, wz343, ba), wz40, wz344, ba)
15.63/6.26	   new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Succ(wz1960), Succ(wz1970), h) -> new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, wz1960, wz1970, h)
15.63/6.26	   new_fmToList_LE00(wz31, wz6, ba) -> :(@2(Pos(Zero), wz31), wz6)
15.63/6.26	   new_foldFM_LE22(wz3000, wz31, wz5, wz40, EmptyFM, ba) -> new_fmToList_LE0(wz3000, wz31, wz5, ba)
15.63/6.26	   new_foldFM_LE19(wz13, Succ(wz400), Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE14(new_fmToList_LE01(wz341, new_foldFM_LE14(wz13, Succ(wz400), wz343, ba), ba), Succ(wz400), wz344, ba)
15.63/6.26	   new_fmToList_LE02(wz191, wz192, wz198, h) -> :(@2(Pos(Succ(wz191)), wz192), wz198)
15.63/6.26	   new_fmToList_LE0(wz3000, wz31, wz5, ba) -> :(@2(Neg(Succ(wz3000)), wz31), wz5)
15.63/6.26	   new_foldFM_LE111(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h) -> new_foldFM_LE14(new_fmToList_LE02(wz191, wz192, new_foldFM_LE14(wz189, Succ(wz190), wz194, h), h), Succ(wz190), wz195, h)
15.63/6.26	   new_foldFM_LE21(wz31, wz6, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE19(new_fmToList_LE00(wz31, wz6, ba), Zero, wz340, wz341, wz342, wz343, wz344, ba)
15.63/6.26	   new_foldFM_LE22(wz3000, wz31, wz5, wz40, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE19(new_fmToList_LE0(wz3000, wz31, wz5, ba), wz40, wz340, wz341, wz342, wz343, wz344, ba)
15.63/6.26	   new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Succ(wz1970), h) -> new_foldFM_LE111(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h)
15.63/6.26	   new_fmToList_LE01(wz31, wz8, ba) -> :(@2(Neg(Zero), wz31), wz8)
15.63/6.26	   new_foldFM_LE19(wz13, Succ(wz400), Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE14(new_fmToList_LE00(wz341, new_foldFM_LE14(wz13, Succ(wz400), wz343, ba), ba), Succ(wz400), wz344, ba)
15.63/6.26	   new_foldFM_LE14(wz13, wz40, EmptyFM, ba) -> wz13
15.63/6.26	   new_foldFM_LE19(wz13, Zero, Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE14(new_fmToList_LE01(wz341, new_foldFM_LE14(wz13, Zero, wz343, ba), ba), Zero, wz344, ba)
15.63/6.26	   new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Zero, h) -> new_foldFM_LE111(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h)
15.63/6.26	   new_foldFM_LE14(wz13, wz40, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), ba) -> new_foldFM_LE19(wz13, wz40, wz3430, wz3431, wz3432, wz3433, wz3434, ba)
15.63/6.26	   new_foldFM_LE19(wz13, Zero, Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE21(wz341, new_foldFM_LE14(wz13, Zero, wz343, ba), wz344, ba)
15.63/6.26	   new_foldFM_LE21(wz31, wz6, EmptyFM, ba) -> new_fmToList_LE00(wz31, wz6, ba)
15.63/6.26	   new_foldFM_LE110(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Succ(wz1960), Zero, h) -> new_foldFM_LE14(wz189, Succ(wz190), wz194, h)
15.63/6.26	
15.63/6.26	The set Q consists of the following terms:
15.63/6.26	
15.63/6.26	   new_fmToList_LE02(x0, x1, x2, x3)
15.63/6.26	   new_foldFM_LE19(x0, Succ(x1), Pos(Succ(x2)), x3, x4, x5, x6, x7)
15.63/6.26	   new_foldFM_LE19(x0, Succ(x1), Neg(Zero), x2, x3, x4, x5, x6)
15.63/6.26	   new_foldFM_LE110(x0, x1, x2, x3, x4, x5, x6, Zero, Succ(x7), x8)
15.63/6.26	   new_foldFM_LE110(x0, x1, x2, x3, x4, x5, x6, Zero, Zero, x7)
15.63/6.26	   new_foldFM_LE14(x0, x1, EmptyFM, x2)
15.63/6.26	   new_foldFM_LE19(x0, Succ(x1), Pos(Zero), x2, x3, x4, x5, x6)
15.63/6.26	   new_foldFM_LE22(x0, x1, x2, x3, Branch(x4, x5, x6, x7, x8), x9)
15.63/6.26	   new_foldFM_LE22(x0, x1, x2, x3, EmptyFM, x4)
15.63/6.26	   new_fmToList_LE01(x0, x1, x2)
15.63/6.26	   new_fmToList_LE00(x0, x1, x2)
15.63/6.26	   new_foldFM_LE21(x0, x1, Branch(x2, x3, x4, x5, x6), x7)
15.63/6.26	   new_foldFM_LE19(x0, x1, Neg(Succ(x2)), x3, x4, x5, x6, x7)
15.63/6.26	   new_foldFM_LE110(x0, x1, x2, x3, x4, x5, x6, Succ(x7), Zero, x8)
15.63/6.26	   new_foldFM_LE21(x0, x1, EmptyFM, x2)
15.63/6.26	   new_foldFM_LE110(x0, x1, x2, x3, x4, x5, x6, Succ(x7), Succ(x8), x9)
15.63/6.26	   new_foldFM_LE14(x0, x1, Branch(x2, x3, x4, x5, x6), x7)
15.63/6.26	   new_foldFM_LE19(x0, Zero, Pos(Succ(x1)), x2, x3, x4, x5, x6)
15.63/6.26	   new_foldFM_LE19(x0, Zero, Neg(Zero), x1, x2, x3, x4, x5)
15.63/6.26	   new_foldFM_LE111(x0, x1, x2, x3, x4, x5, x6, x7)
15.63/6.26	   new_fmToList_LE0(x0, x1, x2, x3)
15.63/6.26	   new_foldFM_LE19(x0, Zero, Pos(Zero), x1, x2, x3, x4, x5)
15.63/6.26	
15.63/6.26	We have to consider all minimal (P,Q,R)-chains.
15.63/6.26	----------------------------------------
15.63/6.26	
15.63/6.26	(40) QDPSizeChangeProof (EQUIVALENT)
15.63/6.26	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. 
15.63/6.26	
15.63/6.26	From the DPs we obtained the following set of size-change graphs:
15.63/6.26	*new_foldFM_LE17(wz31, wz6, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE16(:(@2(Pos(Zero), wz31), wz6), Zero, wz340, wz341, wz342, wz343, wz344, ba)
15.63/6.26	The graph contains the following edges 3 > 3, 3 > 4, 3 > 5, 3 > 6, 3 > 7, 4 >= 8
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE16(wz13, wz40, Neg(Succ(wz34000)), wz341, wz342, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), wz344, ba) -> new_foldFM_LE16(wz13, wz40, wz3430, wz3431, wz3432, wz3433, wz3434, ba)
15.63/6.26	The graph contains the following edges 1 >= 1, 2 >= 2, 6 > 3, 6 > 4, 6 > 5, 6 > 6, 6 > 7, 8 >= 8
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Succ(wz1960), Succ(wz1970), h) -> new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, wz1960, wz1970, h)
15.63/6.26	The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7, 8 > 8, 9 > 9, 10 >= 10
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Zero, h) -> new_foldFM_LE15(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h)
15.63/6.26	The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7, 10 >= 8
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE16(wz13, Succ(wz400), Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE13(wz13, wz400, wz34000, wz341, wz342, wz343, wz344, wz34000, wz400, ba)
15.63/6.26	The graph contains the following edges 1 >= 1, 2 > 2, 3 > 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7, 3 > 8, 2 > 9, 8 >= 10
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE18(wz3000, wz31, wz5, wz40, Branch(wz340, wz341, wz342, wz343, wz344), ba) -> new_foldFM_LE16(:(@2(Neg(Succ(wz3000)), wz31), wz5), wz40, wz340, wz341, wz342, wz343, wz344, ba)
15.63/6.26	The graph contains the following edges 4 >= 2, 5 > 3, 5 > 4, 5 > 5, 5 > 6, 5 > 7, 6 >= 8
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE9(wz13, wz40, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), ba) -> new_foldFM_LE16(wz13, wz40, wz3430, wz3431, wz3432, wz3433, wz3434, ba)
15.63/6.26	The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 3 > 4, 3 > 5, 3 > 6, 3 > 7, 4 >= 8
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE16(wz13, Zero, Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE17(wz341, new_foldFM_LE14(wz13, Zero, wz343, ba), wz344, ba)
15.63/6.26	The graph contains the following edges 4 >= 1, 7 >= 3, 8 >= 4
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE16(wz13, wz40, Neg(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE18(wz34000, wz341, new_foldFM_LE14(wz13, wz40, wz343, ba), wz40, wz344, ba)
15.63/6.26	The graph contains the following edges 3 > 1, 4 >= 2, 2 >= 4, 7 >= 5, 8 >= 6
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Succ(wz1960), Zero, h) -> new_foldFM_LE9(wz189, Succ(wz190), wz194, h)
15.63/6.26	The graph contains the following edges 1 >= 1, 6 >= 3, 10 >= 4
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Succ(wz1970), h) -> new_foldFM_LE9(wz189, Succ(wz190), wz194, h)
15.63/6.26	The graph contains the following edges 1 >= 1, 6 >= 3, 10 >= 4
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE13(wz189, wz190, wz191, wz192, wz193, wz194, wz195, Zero, Succ(wz1970), h) -> new_foldFM_LE9(:(@2(Pos(Succ(wz191)), wz192), new_foldFM_LE14(wz189, Succ(wz190), wz194, h)), Succ(wz190), wz195, h)
15.63/6.26	The graph contains the following edges 7 >= 3, 10 >= 4
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE16(wz13, Zero, Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Zero, wz343, ba)
15.63/6.26	The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 2, 6 >= 3, 8 >= 4
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE16(wz13, Zero, Pos(Succ(wz34000)), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Zero, wz343, ba)
15.63/6.26	The graph contains the following edges 1 >= 1, 2 >= 2, 6 >= 3, 8 >= 4
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE16(wz13, Zero, Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Zero, wz343, ba)
15.63/6.26	The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 2, 6 >= 3, 8 >= 4
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE16(wz13, Zero, Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(:(@2(Neg(Zero), wz341), new_foldFM_LE14(wz13, Zero, wz343, ba)), Zero, wz344, ba)
15.63/6.26	The graph contains the following edges 2 >= 2, 3 > 2, 7 >= 3, 8 >= 4
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE16(wz13, Succ(wz400), Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Succ(wz400), wz343, ba)
15.63/6.26	The graph contains the following edges 1 >= 1, 2 >= 2, 6 >= 3, 8 >= 4
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE16(wz13, Succ(wz400), Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(wz13, Succ(wz400), wz343, ba)
15.63/6.26	The graph contains the following edges 1 >= 1, 2 >= 2, 6 >= 3, 8 >= 4
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE16(wz13, Succ(wz400), Pos(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(:(@2(Pos(Zero), wz341), new_foldFM_LE14(wz13, Succ(wz400), wz343, ba)), Succ(wz400), wz344, ba)
15.63/6.26	The graph contains the following edges 2 >= 2, 7 >= 3, 8 >= 4
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE16(wz13, Succ(wz400), Neg(Zero), wz341, wz342, wz343, wz344, ba) -> new_foldFM_LE9(:(@2(Neg(Zero), wz341), new_foldFM_LE14(wz13, Succ(wz400), wz343, ba)), Succ(wz400), wz344, ba)
15.63/6.26	The graph contains the following edges 2 >= 2, 7 >= 3, 8 >= 4
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE15(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h) -> new_foldFM_LE9(wz189, Succ(wz190), wz194, h)
15.63/6.26	The graph contains the following edges 1 >= 1, 6 >= 3, 8 >= 4
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE15(wz189, wz190, wz191, wz192, wz193, wz194, wz195, h) -> new_foldFM_LE9(:(@2(Pos(Succ(wz191)), wz192), new_foldFM_LE14(wz189, Succ(wz190), wz194, h)), Succ(wz190), wz195, h)
15.63/6.26	The graph contains the following edges 7 >= 3, 8 >= 4
15.63/6.26	
15.63/6.26	
15.63/6.26	----------------------------------------
15.63/6.26	
15.63/6.26	(41)
15.63/6.26	YES
15.63/6.26	
15.63/6.26	----------------------------------------
15.63/6.26	
15.63/6.26	(42)
15.63/6.26	Obligation:
15.63/6.26	Q DP problem:
15.63/6.26	The TRS P consists of the following rules:
15.63/6.26	
15.63/6.26	   new_foldFM_LE23(Neg(Zero), Branch(Neg(Zero), wz31, wz32, wz33, wz34), h) -> new_foldFM_LE23(Neg(Zero), wz33, h)
15.63/6.26	   new_foldFM_LE23(Pos(wz40), Branch(Neg(Succ(wz3000)), wz31, wz32, wz33, wz34), h) -> new_foldFM_LE23(Pos(wz40), wz33, h)
15.63/6.26	   new_foldFM_LE23(Neg(Zero), Branch(Neg(Succ(wz3000)), wz31, wz32, wz33, wz34), h) -> new_foldFM_LE23(Neg(Zero), wz33, h)
15.63/6.26	   new_foldFM_LE23(Neg(Zero), Branch(Pos(Zero), wz31, wz32, wz33, wz34), h) -> new_foldFM_LE23(Neg(Zero), wz33, h)
15.63/6.26	   new_foldFM_LE23(Pos(Zero), Branch(Pos(Succ(wz3000)), wz31, wz32, wz33, wz34), h) -> new_foldFM_LE23(Pos(Zero), wz33, h)
15.63/6.26	   new_foldFM_LE23(Pos(Succ(wz400)), Branch(Neg(Zero), wz31, wz32, wz33, wz34), h) -> new_foldFM_LE23(Pos(Succ(wz400)), wz33, h)
15.63/6.26	   new_foldFM_LE23(Neg(wz40), Branch(Pos(Succ(wz3000)), wz31, wz32, wz33, wz34), h) -> new_foldFM_LE23(Neg(wz40), wz33, h)
15.63/6.26	   new_foldFM_LE23(Pos(Succ(wz400)), Branch(Pos(Zero), wz31, wz32, wz33, wz34), h) -> new_foldFM_LE23(Pos(Succ(wz400)), wz33, h)
15.63/6.26	   new_foldFM_LE23(Pos(Zero), Branch(Neg(Zero), wz31, wz32, wz33, wz34), h) -> new_foldFM_LE23(Pos(Zero), wz33, h)
15.63/6.26	   new_foldFM_LE23(Pos(Zero), Branch(Pos(Zero), wz31, wz32, wz33, wz34), h) -> new_foldFM_LE23(Pos(Zero), wz33, h)
15.63/6.26	
15.63/6.26	R is empty.
15.63/6.26	Q is empty.
15.63/6.26	We have to consider all minimal (P,Q,R)-chains.
15.63/6.26	----------------------------------------
15.63/6.26	
15.63/6.26	(43) DependencyGraphProof (EQUIVALENT)
15.63/6.26	The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 2 SCCs.
15.63/6.26	----------------------------------------
15.63/6.26	
15.63/6.26	(44)
15.63/6.26	Complex Obligation (AND)
15.63/6.26	
15.63/6.26	----------------------------------------
15.63/6.26	
15.63/6.26	(45)
15.63/6.26	Obligation:
15.63/6.26	Q DP problem:
15.63/6.26	The TRS P consists of the following rules:
15.63/6.26	
15.63/6.26	   new_foldFM_LE23(Pos(Zero), Branch(Pos(Succ(wz3000)), wz31, wz32, wz33, wz34), h) -> new_foldFM_LE23(Pos(Zero), wz33, h)
15.63/6.26	   new_foldFM_LE23(Pos(wz40), Branch(Neg(Succ(wz3000)), wz31, wz32, wz33, wz34), h) -> new_foldFM_LE23(Pos(wz40), wz33, h)
15.63/6.26	   new_foldFM_LE23(Pos(Succ(wz400)), Branch(Neg(Zero), wz31, wz32, wz33, wz34), h) -> new_foldFM_LE23(Pos(Succ(wz400)), wz33, h)
15.63/6.26	   new_foldFM_LE23(Pos(Succ(wz400)), Branch(Pos(Zero), wz31, wz32, wz33, wz34), h) -> new_foldFM_LE23(Pos(Succ(wz400)), wz33, h)
15.63/6.26	   new_foldFM_LE23(Pos(Zero), Branch(Neg(Zero), wz31, wz32, wz33, wz34), h) -> new_foldFM_LE23(Pos(Zero), wz33, h)
15.63/6.26	   new_foldFM_LE23(Pos(Zero), Branch(Pos(Zero), wz31, wz32, wz33, wz34), h) -> new_foldFM_LE23(Pos(Zero), wz33, h)
15.63/6.26	
15.63/6.26	R is empty.
15.63/6.26	Q is empty.
15.63/6.26	We have to consider all minimal (P,Q,R)-chains.
15.63/6.26	----------------------------------------
15.63/6.26	
15.63/6.26	(46) QDPSizeChangeProof (EQUIVALENT)
15.63/6.26	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. 
15.63/6.26	
15.63/6.26	From the DPs we obtained the following set of size-change graphs:
15.63/6.26	*new_foldFM_LE23(Pos(wz40), Branch(Neg(Succ(wz3000)), wz31, wz32, wz33, wz34), h) -> new_foldFM_LE23(Pos(wz40), wz33, h)
15.63/6.26	The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE23(Pos(Zero), Branch(Pos(Succ(wz3000)), wz31, wz32, wz33, wz34), h) -> new_foldFM_LE23(Pos(Zero), wz33, h)
15.63/6.26	The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE23(Pos(Zero), Branch(Neg(Zero), wz31, wz32, wz33, wz34), h) -> new_foldFM_LE23(Pos(Zero), wz33, h)
15.63/6.26	The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE23(Pos(Zero), Branch(Pos(Zero), wz31, wz32, wz33, wz34), h) -> new_foldFM_LE23(Pos(Zero), wz33, h)
15.63/6.26	The graph contains the following edges 1 >= 1, 2 > 1, 2 > 2, 3 >= 3
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE23(Pos(Succ(wz400)), Branch(Neg(Zero), wz31, wz32, wz33, wz34), h) -> new_foldFM_LE23(Pos(Succ(wz400)), wz33, h)
15.63/6.26	The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE23(Pos(Succ(wz400)), Branch(Pos(Zero), wz31, wz32, wz33, wz34), h) -> new_foldFM_LE23(Pos(Succ(wz400)), wz33, h)
15.63/6.26	The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3
15.63/6.26	
15.63/6.26	
15.63/6.26	----------------------------------------
15.63/6.26	
15.63/6.26	(47)
15.63/6.26	YES
15.63/6.26	
15.63/6.26	----------------------------------------
15.63/6.26	
15.63/6.26	(48)
15.63/6.26	Obligation:
15.63/6.26	Q DP problem:
15.63/6.26	The TRS P consists of the following rules:
15.63/6.26	
15.63/6.26	   new_foldFM_LE23(Neg(Zero), Branch(Neg(Succ(wz3000)), wz31, wz32, wz33, wz34), h) -> new_foldFM_LE23(Neg(Zero), wz33, h)
15.63/6.26	   new_foldFM_LE23(Neg(Zero), Branch(Neg(Zero), wz31, wz32, wz33, wz34), h) -> new_foldFM_LE23(Neg(Zero), wz33, h)
15.63/6.26	   new_foldFM_LE23(Neg(Zero), Branch(Pos(Zero), wz31, wz32, wz33, wz34), h) -> new_foldFM_LE23(Neg(Zero), wz33, h)
15.63/6.26	   new_foldFM_LE23(Neg(wz40), Branch(Pos(Succ(wz3000)), wz31, wz32, wz33, wz34), h) -> new_foldFM_LE23(Neg(wz40), wz33, h)
15.63/6.26	
15.63/6.26	R is empty.
15.63/6.26	Q is empty.
15.63/6.26	We have to consider all minimal (P,Q,R)-chains.
15.63/6.26	----------------------------------------
15.63/6.26	
15.63/6.26	(49) QDPSizeChangeProof (EQUIVALENT)
15.63/6.26	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. 
15.63/6.26	
15.63/6.26	From the DPs we obtained the following set of size-change graphs:
15.63/6.26	*new_foldFM_LE23(Neg(Zero), Branch(Neg(Succ(wz3000)), wz31, wz32, wz33, wz34), h) -> new_foldFM_LE23(Neg(Zero), wz33, h)
15.63/6.26	The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE23(Neg(Zero), Branch(Neg(Zero), wz31, wz32, wz33, wz34), h) -> new_foldFM_LE23(Neg(Zero), wz33, h)
15.63/6.26	The graph contains the following edges 1 >= 1, 2 > 1, 2 > 2, 3 >= 3
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE23(Neg(Zero), Branch(Pos(Zero), wz31, wz32, wz33, wz34), h) -> new_foldFM_LE23(Neg(Zero), wz33, h)
15.63/6.26	The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3
15.63/6.26	
15.63/6.26	
15.63/6.26	*new_foldFM_LE23(Neg(wz40), Branch(Pos(Succ(wz3000)), wz31, wz32, wz33, wz34), h) -> new_foldFM_LE23(Neg(wz40), wz33, h)
15.63/6.26	The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3
15.63/6.26	
15.63/6.26	
15.63/6.26	----------------------------------------
15.63/6.26	
15.63/6.26	(50)
15.63/6.26	YES
15.95/6.30	EOF