44.73/28.23	YES
47.63/28.99	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
47.63/28.99	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
47.63/28.99	
47.63/28.99	
47.63/28.99	H-Termination with start terms of the given HASKELL could be proven:
47.63/28.99	
47.63/28.99	(0) HASKELL
47.63/28.99	(1) LR [EQUIVALENT, 0 ms]
47.63/28.99	(2) HASKELL
47.63/28.99	(3) CR [EQUIVALENT, 0 ms]
47.63/28.99	(4) HASKELL
47.63/28.99	(5) BR [EQUIVALENT, 0 ms]
47.63/28.99	(6) HASKELL
47.63/28.99	(7) COR [EQUIVALENT, 14 ms]
47.63/28.99	(8) HASKELL
47.63/28.99	(9) LetRed [EQUIVALENT, 30 ms]
47.63/28.99	(10) HASKELL
47.63/28.99	(11) NumRed [SOUND, 0 ms]
47.63/28.99	(12) HASKELL
47.63/28.99	(13) Narrow [SOUND, 0 ms]
47.63/28.99	(14) AND
47.63/28.99	    (15) QDP
47.63/28.99	        (16) QDPSizeChangeProof [EQUIVALENT, 0 ms]
47.63/28.99	        (17) YES
47.63/28.99	    (18) QDP
47.63/28.99	        (19) QDPSizeChangeProof [EQUIVALENT, 0 ms]
47.63/28.99	        (20) YES
47.63/28.99	    (21) QDP
47.63/28.99	        (22) QDPSizeChangeProof [EQUIVALENT, 0 ms]
47.63/28.99	        (23) YES
47.63/28.99	    (24) QDP
47.63/28.99	        (25) QDPSizeChangeProof [EQUIVALENT, 0 ms]
47.63/28.99	        (26) YES
47.63/28.99	    (27) QDP
47.63/28.99	        (28) QDPSizeChangeProof [EQUIVALENT, 0 ms]
47.63/28.99	        (29) YES
47.63/28.99	    (30) QDP
47.63/28.99	        (31) QDPSizeChangeProof [EQUIVALENT, 0 ms]
47.63/28.99	        (32) YES
47.63/28.99	    (33) QDP
47.63/28.99	        (34) QDPSizeChangeProof [EQUIVALENT, 0 ms]
47.63/28.99	        (35) YES
47.63/28.99	    (36) QDP
47.63/28.99	        (37) QDPSizeChangeProof [EQUIVALENT, 0 ms]
47.63/28.99	        (38) YES
47.63/28.99	    (39) QDP
47.63/28.99	        (40) QDPSizeChangeProof [EQUIVALENT, 0 ms]
47.63/28.99	        (41) YES
47.63/28.99	    (42) QDP
47.63/28.99	        (43) QDPSizeChangeProof [EQUIVALENT, 0 ms]
47.63/28.99	        (44) YES
47.63/28.99	    (45) QDP
47.63/28.99	        (46) QDPSizeChangeProof [EQUIVALENT, 0 ms]
47.63/28.99	        (47) YES
47.63/28.99	    (48) QDP
47.63/28.99	        (49) QDPSizeChangeProof [EQUIVALENT, 0 ms]
47.63/28.99	        (50) YES
47.63/28.99	    (51) QDP
47.63/28.99	        (52) QDPSizeChangeProof [EQUIVALENT, 0 ms]
47.63/28.99	        (53) YES
47.63/28.99	    (54) QDP
47.63/28.99	        (55) QDPSizeChangeProof [EQUIVALENT, 0 ms]
47.63/28.99	        (56) YES
47.63/28.99	    (57) QDP
47.63/28.99	        (58) TransformationProof [EQUIVALENT, 10 ms]
47.63/28.99	        (59) QDP
47.63/28.99	        (60) TransformationProof [EQUIVALENT, 0 ms]
47.63/28.99	        (61) QDP
47.63/28.99	        (62) TransformationProof [EQUIVALENT, 0 ms]
47.63/28.99	        (63) QDP
47.63/28.99	        (64) UsableRulesProof [EQUIVALENT, 0 ms]
47.63/28.99	        (65) QDP
47.63/28.99	        (66) QReductionProof [EQUIVALENT, 0 ms]
47.63/28.99	        (67) QDP
47.63/28.99	        (68) TransformationProof [EQUIVALENT, 0 ms]
47.63/28.99	        (69) QDP
47.63/28.99	        (70) TransformationProof [EQUIVALENT, 0 ms]
47.63/28.99	        (71) QDP
47.63/28.99	        (72) TransformationProof [EQUIVALENT, 0 ms]
47.63/28.99	        (73) QDP
47.63/28.99	        (74) UsableRulesProof [EQUIVALENT, 0 ms]
47.63/28.99	        (75) QDP
47.63/28.99	        (76) QReductionProof [EQUIVALENT, 0 ms]
47.63/28.99	        (77) QDP
47.63/28.99	        (78) TransformationProof [EQUIVALENT, 0 ms]
47.63/28.99	        (79) QDP
47.63/28.99	        (80) TransformationProof [EQUIVALENT, 0 ms]
47.63/28.99	        (81) QDP
47.63/28.99	        (82) TransformationProof [EQUIVALENT, 0 ms]
47.63/28.99	        (83) QDP
47.63/28.99	        (84) UsableRulesProof [EQUIVALENT, 0 ms]
47.63/28.99	        (85) QDP
47.63/28.99	        (86) QReductionProof [EQUIVALENT, 0 ms]
47.63/28.99	        (87) QDP
47.63/28.99	        (88) TransformationProof [EQUIVALENT, 0 ms]
47.63/28.99	        (89) QDP
47.63/28.99	        (90) TransformationProof [EQUIVALENT, 0 ms]
47.63/28.99	        (91) QDP
47.63/28.99	        (92) TransformationProof [EQUIVALENT, 0 ms]
47.63/28.99	        (93) QDP
47.63/28.99	        (94) TransformationProof [EQUIVALENT, 0 ms]
47.63/28.99	        (95) QDP
47.63/28.99	        (96) TransformationProof [EQUIVALENT, 0 ms]
47.63/28.99	        (97) QDP
47.63/28.99	        (98) TransformationProof [EQUIVALENT, 0 ms]
47.63/28.99	        (99) QDP
47.63/28.99	        (100) TransformationProof [EQUIVALENT, 0 ms]
47.63/28.99	        (101) QDP
47.63/28.99	        (102) TransformationProof [EQUIVALENT, 0 ms]
47.63/28.99	        (103) QDP
47.63/28.99	        (104) UsableRulesProof [EQUIVALENT, 0 ms]
47.63/28.99	        (105) QDP
47.63/28.99	        (106) QReductionProof [EQUIVALENT, 0 ms]
47.63/28.99	        (107) QDP
47.63/28.99	        (108) TransformationProof [EQUIVALENT, 0 ms]
47.63/28.99	        (109) QDP
47.63/28.99	        (110) UsableRulesProof [EQUIVALENT, 0 ms]
47.63/28.99	        (111) QDP
47.63/28.99	        (112) QReductionProof [EQUIVALENT, 0 ms]
47.63/28.99	        (113) QDP
47.63/28.99	        (114) TransformationProof [EQUIVALENT, 0 ms]
47.63/28.99	        (115) QDP
47.63/28.99	        (116) TransformationProof [EQUIVALENT, 0 ms]
47.63/28.99	        (117) QDP
47.63/28.99	        (118) TransformationProof [EQUIVALENT, 0 ms]
47.63/28.99	        (119) QDP
47.63/28.99	        (120) UsableRulesProof [EQUIVALENT, 0 ms]
47.63/28.99	        (121) QDP
47.63/28.99	        (122) QReductionProof [EQUIVALENT, 0 ms]
47.63/28.99	        (123) QDP
47.63/28.99	        (124) QDPSizeChangeProof [EQUIVALENT, 0 ms]
47.63/28.99	        (125) YES
47.63/28.99	    (126) QDP
47.63/28.99	        (127) QDPSizeChangeProof [EQUIVALENT, 0 ms]
47.63/28.99	        (128) YES
47.63/28.99	
47.63/28.99	
47.63/28.99	----------------------------------------
47.63/28.99	
47.63/28.99	(0)
47.63/28.99	Obligation:
47.63/28.99	mainModule Main 
47.63/28.99	module FiniteMap where {
47.63/28.99	import qualified Main;
47.63/28.99	import qualified Maybe;
47.63/28.99	import qualified Prelude;
47.63/28.99	data FiniteMap a b = EmptyFM  | Branch a b Int (FiniteMap a b) (FiniteMap a b) ;
47.63/28.99	
47.63/28.99	instance (Eq a, Eq b) => Eq FiniteMap b a where { 
47.63/28.99	}
47.63/28.99	addToFM :: Ord b => FiniteMap b a  ->  b  ->  a  ->  FiniteMap b a;
47.63/28.99	addToFM fm key elt = addToFM_C (\old new ->new) fm key elt;
47.63/28.99	
47.63/28.99	addToFM_C :: Ord b => (a  ->  a  ->  a)  ->  FiniteMap b a  ->  b  ->  a  ->  FiniteMap b a;
47.63/28.99	addToFM_C combiner EmptyFM key elt = unitFM key elt;
47.63/28.99	addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt  | new_key < key = mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r
47.63/28.99	 | new_key > key = mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt)
47.63/28.99	 | otherwise = Branch new_key (combiner elt new_elt) size fm_l fm_r;
47.63/28.99	
47.63/28.99	deleteMax :: Ord a => FiniteMap a b  ->  FiniteMap a b;
47.63/28.99	deleteMax (Branch key elt _ fm_l EmptyFM) = fm_l;
47.63/28.99	deleteMax (Branch key elt _ fm_l fm_r) = mkBalBranch key elt fm_l (deleteMax fm_r);
47.63/28.99	
47.63/28.99	deleteMin :: Ord b => FiniteMap b a  ->  FiniteMap b a;
47.63/28.99	deleteMin (Branch key elt _ EmptyFM fm_r) = fm_r;
47.63/28.99	deleteMin (Branch key elt _ fm_l fm_r) = mkBalBranch key elt (deleteMin fm_l) fm_r;
47.63/28.99	
47.63/28.99	emptyFM :: FiniteMap b a;
47.63/28.99	emptyFM = EmptyFM;
47.63/28.99	
47.63/28.99	filterFM :: Ord a => (a  ->  b  ->  Bool)  ->  FiniteMap a b  ->  FiniteMap a b;
47.63/28.99	filterFM p EmptyFM = emptyFM;
47.63/28.99	filterFM p (Branch key elt _ fm_l fm_r)  | p key elt = mkVBalBranch key elt (filterFM p fm_l) (filterFM p fm_r)
47.63/28.99	 | otherwise = glueVBal (filterFM p fm_l) (filterFM p fm_r);
47.63/28.99	
47.63/28.99	findMax :: FiniteMap b a  ->  (b,a);
47.63/28.99	findMax (Branch key elt _ _ EmptyFM) = (key,elt);
47.63/28.99	findMax (Branch key elt _ _ fm_r) = findMax fm_r;
47.63/28.99	
47.63/28.99	findMin :: FiniteMap a b  ->  (a,b);
47.63/28.99	findMin (Branch key elt _ EmptyFM _) = (key,elt);
47.63/28.99	findMin (Branch key elt _ fm_l _) = findMin fm_l;
47.63/28.99	
47.63/28.99	glueBal :: Ord b => FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a;
47.63/28.99	glueBal EmptyFM fm2 = fm2;
47.63/28.99	glueBal fm1 EmptyFM = fm1;
47.63/28.99	glueBal fm1 fm2  | sizeFM fm2 > sizeFM fm1 = mkBalBranch mid_key2 mid_elt2 fm1 (deleteMin fm2)
47.63/28.99	 | otherwise = mkBalBranch mid_key1 mid_elt1 (deleteMax fm1) fm2 where { 
47.63/28.99	mid_elt1 = (\(_,mid_elt1) ->mid_elt1) vv2;
47.63/28.99	mid_elt2 = (\(_,mid_elt2) ->mid_elt2) vv3;
47.63/28.99	mid_key1 = (\(mid_key1,_) ->mid_key1) vv2;
47.63/28.99	mid_key2 = (\(mid_key2,_) ->mid_key2) vv3;
47.63/28.99	vv2 = findMax fm1;
47.63/28.99	vv3 = findMin fm2;
47.63/28.99	 };
47.63/28.99	
47.63/28.99	glueVBal :: Ord a => FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b;
47.63/28.99	glueVBal EmptyFM fm2 = fm2;
47.63/28.99	glueVBal fm1 EmptyFM = fm1;
47.63/28.99	glueVBal fm_l@(Branch key_l elt_l _ fm_ll fm_lr) fm_r@(Branch key_r elt_r _ fm_rl fm_rr)  | sIZE_RATIO * size_l < size_r = mkBalBranch key_r elt_r (glueVBal fm_l fm_rl) fm_rr
47.63/28.99	 | sIZE_RATIO * size_r < size_l = mkBalBranch key_l elt_l fm_ll (glueVBal fm_lr fm_r)
47.63/28.99	 | otherwise = glueBal fm_l fm_r where { 
47.63/28.99	size_l = sizeFM fm_l;
47.63/28.99	size_r = sizeFM fm_r;
47.63/28.99	 };
47.63/28.99	
47.63/28.99	mkBalBranch :: Ord b => b  ->  a  ->  FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a;
47.63/28.99	mkBalBranch key elt fm_L fm_R  | size_l + size_r < 2 = mkBranch 1 key elt fm_L fm_R
47.63/28.99	 | size_r > sIZE_RATIO * size_l = case fm_R of { 
47.63/28.99	Branch _ _ _ fm_rl fm_rr | sizeFM fm_rl < 2 * sizeFM fm_rr -> single_L fm_L fm_R
47.63/28.99	 | otherwise -> double_L fm_L fm_R; 
47.63/28.99	 } 
47.63/28.99	 | size_l > sIZE_RATIO * size_r = case fm_L of { 
47.63/28.99	Branch _ _ _ fm_ll fm_lr | sizeFM fm_lr < 2 * sizeFM fm_ll -> single_R fm_L fm_R
47.63/28.99	 | otherwise -> double_R fm_L fm_R; 
47.63/28.99	 } 
47.63/28.99	 | otherwise = mkBranch 2 key elt fm_L fm_R where { 
47.63/28.99	double_L fm_l (Branch key_r elt_r _ (Branch key_rl elt_rl _ fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr);
47.63/28.99	double_R (Branch key_l elt_l _ fm_ll (Branch key_lr elt_lr _ fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r);
47.63/28.99	single_L fm_l (Branch key_r elt_r _ fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr;
47.63/28.99	single_R (Branch key_l elt_l _ fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r);
47.63/28.99	size_l = sizeFM fm_L;
47.63/28.99	size_r = sizeFM fm_R;
47.63/28.99	 };
47.63/28.99	
47.63/28.99	mkBranch :: Ord b => Int  ->  b  ->  a  ->  FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a;
47.97/29.06	mkBranch which key elt fm_l fm_r = let { 
47.97/29.06	result = Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r;
47.97/29.06	} in result where { 
47.97/29.06	balance_ok = True;
47.97/29.06	left_ok = case fm_l of { 
47.97/29.06	EmptyFM-> True; 
47.97/29.06	Branch left_key _ _ _ _-> let { 
47.97/29.06	biggest_left_key = fst (findMax fm_l);
47.97/29.06	} in biggest_left_key < key; 
47.97/29.06	 } ;
47.97/29.06	left_size = sizeFM fm_l;
47.97/29.06	right_ok = case fm_r of { 
47.97/29.06	EmptyFM-> True; 
47.97/29.06	Branch right_key _ _ _ _-> let { 
47.97/29.06	smallest_right_key = fst (findMin fm_r);
47.97/29.06	} in key < smallest_right_key; 
47.97/29.06	 } ;
47.97/29.06	right_size = sizeFM fm_r;
47.97/29.06	unbox :: Int  ->  Int;
47.97/29.06	unbox x = x;
47.97/29.06	 };
47.97/29.06	
47.97/29.06	mkVBalBranch :: Ord b => b  ->  a  ->  FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a;
47.97/29.06	mkVBalBranch key elt EmptyFM fm_r = addToFM fm_r key elt;
47.97/29.06	mkVBalBranch key elt fm_l EmptyFM = addToFM fm_l key elt;
47.97/29.06	mkVBalBranch key elt fm_l@(Branch key_l elt_l _ fm_ll fm_lr) fm_r@(Branch key_r elt_r _ fm_rl fm_rr)  | sIZE_RATIO * size_l < size_r = mkBalBranch key_r elt_r (mkVBalBranch key elt fm_l fm_rl) fm_rr
47.97/29.06	 | sIZE_RATIO * size_r < size_l = mkBalBranch key_l elt_l fm_ll (mkVBalBranch key elt fm_lr fm_r)
47.97/29.06	 | otherwise = mkBranch 13 key elt fm_l fm_r where { 
47.97/29.06	size_l = sizeFM fm_l;
47.97/29.06	size_r = sizeFM fm_r;
47.97/29.06	 };
47.97/29.06	
47.97/29.06	sIZE_RATIO :: Int;
47.97/29.06	sIZE_RATIO = 5;
47.97/29.06	
47.97/29.06	sizeFM :: FiniteMap b a  ->  Int;
47.97/29.06	sizeFM EmptyFM = 0;
47.97/29.06	sizeFM (Branch _ _ size _ _) = size;
47.97/29.06	
47.97/29.06	unitFM :: b  ->  a  ->  FiniteMap b a;
47.97/29.06	unitFM key elt = Branch key elt 1 emptyFM emptyFM;
47.97/29.06	
47.97/29.06	}
47.97/29.06	module Maybe where {
47.97/29.06	import qualified FiniteMap;
47.97/29.06	import qualified Main;
47.97/29.06	import qualified Prelude;
47.97/29.06	}
47.97/29.06	module Main where {
47.97/29.06	import qualified FiniteMap;
47.97/29.06	import qualified Maybe;
47.97/29.06	import qualified Prelude;
47.97/29.06	}
47.97/29.06	
47.97/29.06	----------------------------------------
47.97/29.06	
47.97/29.06	(1) LR (EQUIVALENT)
47.97/29.06	Lambda Reductions:
47.97/29.06	The following Lambda expression
47.97/29.06	"\oldnew->new"
47.97/29.06	is transformed to
47.97/29.06	"addToFM0 old new = new;
47.97/29.06	"
47.97/29.06	The following Lambda expression
47.97/29.06	"\(_,mid_elt2)->mid_elt2"
47.97/29.06	is transformed to
47.97/29.06	"mid_elt20 (_,mid_elt2) = mid_elt2;
47.97/29.06	"
47.97/29.06	The following Lambda expression
47.97/29.06	"\(mid_key2,_)->mid_key2"
47.97/29.06	is transformed to
47.97/29.06	"mid_key20 (mid_key2,_) = mid_key2;
47.97/29.06	"
47.97/29.06	The following Lambda expression
47.97/29.06	"\(mid_key1,_)->mid_key1"
47.97/29.06	is transformed to
47.97/29.06	"mid_key10 (mid_key1,_) = mid_key1;
47.97/29.06	"
47.97/29.06	The following Lambda expression
47.97/29.06	"\(_,mid_elt1)->mid_elt1"
47.97/29.06	is transformed to
47.97/29.06	"mid_elt10 (_,mid_elt1) = mid_elt1;
47.97/29.06	"
47.97/29.06	
47.97/29.06	----------------------------------------
47.97/29.06	
47.97/29.06	(2)
47.97/29.06	Obligation:
47.97/29.06	mainModule Main 
47.97/29.06	module FiniteMap where {
47.97/29.06	import qualified Main;
47.97/29.06	import qualified Maybe;
47.97/29.06	import qualified Prelude;
47.97/29.06	data FiniteMap b a = EmptyFM  | Branch b a Int (FiniteMap b a) (FiniteMap b a) ;
47.97/29.06	
47.97/29.06	instance (Eq a, Eq b) => Eq FiniteMap a b where { 
47.97/29.06	}
47.97/29.06	addToFM :: Ord b => FiniteMap b a  ->  b  ->  a  ->  FiniteMap b a;
47.97/29.06	addToFM fm key elt = addToFM_C addToFM0 fm key elt;
47.97/29.06	
47.97/29.06	addToFM0 old new = new;
47.97/29.06	
47.97/29.06	addToFM_C :: Ord b => (a  ->  a  ->  a)  ->  FiniteMap b a  ->  b  ->  a  ->  FiniteMap b a;
47.97/29.06	addToFM_C combiner EmptyFM key elt = unitFM key elt;
47.97/29.06	addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt  | new_key < key = mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r
47.97/29.06	 | new_key > key = mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt)
47.97/29.06	 | otherwise = Branch new_key (combiner elt new_elt) size fm_l fm_r;
47.97/29.06	
47.97/29.06	deleteMax :: Ord a => FiniteMap a b  ->  FiniteMap a b;
47.97/29.06	deleteMax (Branch key elt _ fm_l EmptyFM) = fm_l;
47.97/29.06	deleteMax (Branch key elt _ fm_l fm_r) = mkBalBranch key elt fm_l (deleteMax fm_r);
47.97/29.06	
47.97/29.06	deleteMin :: Ord a => FiniteMap a b  ->  FiniteMap a b;
47.97/29.06	deleteMin (Branch key elt _ EmptyFM fm_r) = fm_r;
47.97/29.06	deleteMin (Branch key elt _ fm_l fm_r) = mkBalBranch key elt (deleteMin fm_l) fm_r;
47.97/29.06	
47.97/29.06	emptyFM :: FiniteMap a b;
47.97/29.06	emptyFM = EmptyFM;
47.97/29.06	
47.97/29.06	filterFM :: Ord b => (b  ->  a  ->  Bool)  ->  FiniteMap b a  ->  FiniteMap b a;
47.97/29.06	filterFM p EmptyFM = emptyFM;
47.97/29.06	filterFM p (Branch key elt _ fm_l fm_r)  | p key elt = mkVBalBranch key elt (filterFM p fm_l) (filterFM p fm_r)
47.97/29.06	 | otherwise = glueVBal (filterFM p fm_l) (filterFM p fm_r);
47.97/29.06	
47.97/29.06	findMax :: FiniteMap a b  ->  (a,b);
47.97/29.06	findMax (Branch key elt _ _ EmptyFM) = (key,elt);
47.97/29.06	findMax (Branch key elt _ _ fm_r) = findMax fm_r;
47.97/29.06	
47.97/29.06	findMin :: FiniteMap b a  ->  (b,a);
47.97/29.06	findMin (Branch key elt _ EmptyFM _) = (key,elt);
47.97/29.06	findMin (Branch key elt _ fm_l _) = findMin fm_l;
47.97/29.06	
47.97/29.06	glueBal :: Ord a => FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b;
47.97/29.06	glueBal EmptyFM fm2 = fm2;
47.97/29.06	glueBal fm1 EmptyFM = fm1;
47.97/29.06	glueBal fm1 fm2  | sizeFM fm2 > sizeFM fm1 = mkBalBranch mid_key2 mid_elt2 fm1 (deleteMin fm2)
47.97/29.06	 | otherwise = mkBalBranch mid_key1 mid_elt1 (deleteMax fm1) fm2 where { 
47.97/29.06	mid_elt1 = mid_elt10 vv2;
47.97/29.06	mid_elt10 (_,mid_elt1) = mid_elt1;
47.97/29.06	mid_elt2 = mid_elt20 vv3;
47.97/29.06	mid_elt20 (_,mid_elt2) = mid_elt2;
47.97/29.06	mid_key1 = mid_key10 vv2;
47.97/29.06	mid_key10 (mid_key1,_) = mid_key1;
47.97/29.06	mid_key2 = mid_key20 vv3;
47.97/29.06	mid_key20 (mid_key2,_) = mid_key2;
47.97/29.06	vv2 = findMax fm1;
47.97/29.06	vv3 = findMin fm2;
47.97/29.06	 };
47.97/29.06	
47.97/29.06	glueVBal :: Ord b => FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a;
47.97/29.06	glueVBal EmptyFM fm2 = fm2;
47.97/29.06	glueVBal fm1 EmptyFM = fm1;
47.97/29.06	glueVBal fm_l@(Branch key_l elt_l _ fm_ll fm_lr) fm_r@(Branch key_r elt_r _ fm_rl fm_rr)  | sIZE_RATIO * size_l < size_r = mkBalBranch key_r elt_r (glueVBal fm_l fm_rl) fm_rr
47.97/29.06	 | sIZE_RATIO * size_r < size_l = mkBalBranch key_l elt_l fm_ll (glueVBal fm_lr fm_r)
47.97/29.06	 | otherwise = glueBal fm_l fm_r where { 
47.97/29.06	size_l = sizeFM fm_l;
47.97/29.06	size_r = sizeFM fm_r;
47.97/29.06	 };
47.97/29.06	
47.97/29.06	mkBalBranch :: Ord a => a  ->  b  ->  FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b;
47.97/29.06	mkBalBranch key elt fm_L fm_R  | size_l + size_r < 2 = mkBranch 1 key elt fm_L fm_R
47.97/29.06	 | size_r > sIZE_RATIO * size_l = case fm_R of { 
47.97/29.06	Branch _ _ _ fm_rl fm_rr | sizeFM fm_rl < 2 * sizeFM fm_rr -> single_L fm_L fm_R
47.97/29.06	 | otherwise -> double_L fm_L fm_R; 
47.97/29.06	 } 
47.97/29.06	 | size_l > sIZE_RATIO * size_r = case fm_L of { 
47.97/29.06	Branch _ _ _ fm_ll fm_lr | sizeFM fm_lr < 2 * sizeFM fm_ll -> single_R fm_L fm_R
47.97/29.06	 | otherwise -> double_R fm_L fm_R; 
47.97/29.06	 } 
47.97/29.06	 | otherwise = mkBranch 2 key elt fm_L fm_R where { 
47.97/29.06	double_L fm_l (Branch key_r elt_r _ (Branch key_rl elt_rl _ fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr);
47.97/29.06	double_R (Branch key_l elt_l _ fm_ll (Branch key_lr elt_lr _ fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r);
47.97/29.06	single_L fm_l (Branch key_r elt_r _ fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr;
47.97/29.06	single_R (Branch key_l elt_l _ fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r);
47.97/29.06	size_l = sizeFM fm_L;
47.97/29.06	size_r = sizeFM fm_R;
47.97/29.06	 };
47.97/29.06	
47.97/29.06	mkBranch :: Ord b => Int  ->  b  ->  a  ->  FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a;
47.97/29.06	mkBranch which key elt fm_l fm_r = let { 
47.97/29.06	result = Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r;
47.97/29.06	} in result where { 
47.97/29.06	balance_ok = True;
47.97/29.06	left_ok = case fm_l of { 
47.97/29.06	EmptyFM-> True; 
47.97/29.06	Branch left_key _ _ _ _-> let { 
47.97/29.06	biggest_left_key = fst (findMax fm_l);
47.97/29.06	} in biggest_left_key < key; 
47.97/29.06	 } ;
47.97/29.06	left_size = sizeFM fm_l;
47.97/29.06	right_ok = case fm_r of { 
47.97/29.06	EmptyFM-> True; 
47.97/29.06	Branch right_key _ _ _ _-> let { 
47.97/29.06	smallest_right_key = fst (findMin fm_r);
47.97/29.06	} in key < smallest_right_key; 
47.97/29.06	 } ;
47.97/29.06	right_size = sizeFM fm_r;
47.97/29.06	unbox :: Int  ->  Int;
47.97/29.06	unbox x = x;
47.97/29.06	 };
47.97/29.06	
47.97/29.06	mkVBalBranch :: Ord b => b  ->  a  ->  FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a;
47.97/29.06	mkVBalBranch key elt EmptyFM fm_r = addToFM fm_r key elt;
47.97/29.06	mkVBalBranch key elt fm_l EmptyFM = addToFM fm_l key elt;
47.97/29.06	mkVBalBranch key elt fm_l@(Branch key_l elt_l _ fm_ll fm_lr) fm_r@(Branch key_r elt_r _ fm_rl fm_rr)  | sIZE_RATIO * size_l < size_r = mkBalBranch key_r elt_r (mkVBalBranch key elt fm_l fm_rl) fm_rr
47.97/29.06	 | sIZE_RATIO * size_r < size_l = mkBalBranch key_l elt_l fm_ll (mkVBalBranch key elt fm_lr fm_r)
47.97/29.06	 | otherwise = mkBranch 13 key elt fm_l fm_r where { 
47.97/29.06	size_l = sizeFM fm_l;
47.97/29.06	size_r = sizeFM fm_r;
47.97/29.06	 };
47.97/29.06	
47.97/29.06	sIZE_RATIO :: Int;
47.97/29.06	sIZE_RATIO = 5;
47.97/29.06	
47.97/29.06	sizeFM :: FiniteMap b a  ->  Int;
47.97/29.06	sizeFM EmptyFM = 0;
47.97/29.06	sizeFM (Branch _ _ size _ _) = size;
47.97/29.06	
47.97/29.06	unitFM :: a  ->  b  ->  FiniteMap a b;
47.97/29.06	unitFM key elt = Branch key elt 1 emptyFM emptyFM;
47.97/29.06	
47.97/29.06	}
47.97/29.06	module Maybe where {
47.97/29.06	import qualified FiniteMap;
47.97/29.06	import qualified Main;
47.97/29.06	import qualified Prelude;
47.97/29.06	}
47.97/29.06	module Main where {
47.97/29.06	import qualified FiniteMap;
47.97/29.06	import qualified Maybe;
47.97/29.06	import qualified Prelude;
47.97/29.06	}
47.97/29.06	
47.97/29.06	----------------------------------------
47.97/29.06	
47.97/29.06	(3) CR (EQUIVALENT)
47.97/29.06	Case Reductions:
47.97/29.06	The following Case expression
47.97/29.06	"case fm_r of {
47.97/29.06	EmptyFM  -> True;
47.97/29.06	Branch right_key _ _ _ _  -> let {
47.97/29.06	smallest_right_key  = fst (findMin fm_r);
47.97/29.06	} in key < smallest_right_key}
47.97/29.06	"
47.97/29.06	is transformed to
47.97/29.06	"right_ok0 fm_r key EmptyFM = True;
47.97/29.06	right_ok0 fm_r key (Branch right_key _ _ _ _) = let {
47.97/29.06	smallest_right_key  = fst (findMin fm_r);
47.97/29.06	} in key < smallest_right_key;
47.97/29.06	"
47.97/29.06	The following Case expression
47.97/29.06	"case fm_l of {
47.97/29.06	EmptyFM  -> True;
47.97/29.06	Branch left_key _ _ _ _  -> let {
47.97/29.06	biggest_left_key  = fst (findMax fm_l);
47.97/29.06	} in biggest_left_key < key}
47.97/29.06	"
47.97/29.06	is transformed to
47.97/29.06	"left_ok0 fm_l key EmptyFM = True;
47.97/29.06	left_ok0 fm_l key (Branch left_key _ _ _ _) = let {
47.97/29.06	biggest_left_key  = fst (findMax fm_l);
47.97/29.06	} in biggest_left_key < key;
47.97/29.06	"
47.97/29.06	The following Case expression
47.97/29.06	"case fm_R of {
47.97/29.06	Branch _ _ _ fm_rl fm_rr |sizeFM fm_rl < 2 * sizeFM fm_rrsingle_L fm_L fm_R|otherwisedouble_L fm_L fm_R}
47.97/29.06	"
47.97/29.06	is transformed to
47.97/29.06	"mkBalBranch0 fm_L fm_R (Branch _ _ _ fm_rl fm_rr)|sizeFM fm_rl < 2 * sizeFM fm_rrsingle_L fm_L fm_R|otherwisedouble_L fm_L fm_R;
47.97/29.06	"
47.97/29.06	The following Case expression
47.97/29.06	"case fm_L of {
47.97/29.06	Branch _ _ _ fm_ll fm_lr |sizeFM fm_lr < 2 * sizeFM fm_llsingle_R fm_L fm_R|otherwisedouble_R fm_L fm_R}
47.97/29.06	"
47.97/29.06	is transformed to
47.97/29.06	"mkBalBranch1 fm_L fm_R (Branch _ _ _ fm_ll fm_lr)|sizeFM fm_lr < 2 * sizeFM fm_llsingle_R fm_L fm_R|otherwisedouble_R fm_L fm_R;
47.97/29.06	"
47.97/29.06	
47.97/29.06	----------------------------------------
47.97/29.06	
47.97/29.06	(4)
47.97/29.06	Obligation:
47.97/29.06	mainModule Main 
47.97/29.06	module FiniteMap where {
47.97/29.06	import qualified Main;
47.97/29.06	import qualified Maybe;
47.97/29.06	import qualified Prelude;
47.97/29.06	data FiniteMap b a = EmptyFM  | Branch b a Int (FiniteMap b a) (FiniteMap b a) ;
47.97/29.06	
47.97/29.06	instance (Eq a, Eq b) => Eq FiniteMap a b where { 
47.97/29.06	}
47.97/29.06	addToFM :: Ord b => FiniteMap b a  ->  b  ->  a  ->  FiniteMap b a;
47.97/29.06	addToFM fm key elt = addToFM_C addToFM0 fm key elt;
47.97/29.06	
47.97/29.06	addToFM0 old new = new;
47.97/29.06	
47.97/29.06	addToFM_C :: Ord a => (b  ->  b  ->  b)  ->  FiniteMap a b  ->  a  ->  b  ->  FiniteMap a b;
47.97/29.06	addToFM_C combiner EmptyFM key elt = unitFM key elt;
47.97/29.06	addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt  | new_key < key = mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r
47.97/29.06	 | new_key > key = mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt)
47.97/29.06	 | otherwise = Branch new_key (combiner elt new_elt) size fm_l fm_r;
47.97/29.06	
47.97/29.06	deleteMax :: Ord b => FiniteMap b a  ->  FiniteMap b a;
47.97/29.06	deleteMax (Branch key elt _ fm_l EmptyFM) = fm_l;
47.97/29.06	deleteMax (Branch key elt _ fm_l fm_r) = mkBalBranch key elt fm_l (deleteMax fm_r);
47.97/29.06	
47.97/29.06	deleteMin :: Ord a => FiniteMap a b  ->  FiniteMap a b;
47.97/29.06	deleteMin (Branch key elt _ EmptyFM fm_r) = fm_r;
47.97/29.06	deleteMin (Branch key elt _ fm_l fm_r) = mkBalBranch key elt (deleteMin fm_l) fm_r;
47.97/29.06	
47.97/29.06	emptyFM :: FiniteMap a b;
47.97/29.06	emptyFM = EmptyFM;
47.97/29.06	
47.97/29.06	filterFM :: Ord a => (a  ->  b  ->  Bool)  ->  FiniteMap a b  ->  FiniteMap a b;
47.97/29.06	filterFM p EmptyFM = emptyFM;
47.97/29.06	filterFM p (Branch key elt _ fm_l fm_r)  | p key elt = mkVBalBranch key elt (filterFM p fm_l) (filterFM p fm_r)
47.97/29.06	 | otherwise = glueVBal (filterFM p fm_l) (filterFM p fm_r);
47.97/29.06	
47.97/29.06	findMax :: FiniteMap b a  ->  (b,a);
47.97/29.06	findMax (Branch key elt _ _ EmptyFM) = (key,elt);
47.97/29.06	findMax (Branch key elt _ _ fm_r) = findMax fm_r;
47.97/29.06	
47.97/29.06	findMin :: FiniteMap a b  ->  (a,b);
47.97/29.06	findMin (Branch key elt _ EmptyFM _) = (key,elt);
47.97/29.06	findMin (Branch key elt _ fm_l _) = findMin fm_l;
47.97/29.06	
47.97/29.06	glueBal :: Ord b => FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a;
47.97/29.06	glueBal EmptyFM fm2 = fm2;
47.97/29.06	glueBal fm1 EmptyFM = fm1;
47.97/29.06	glueBal fm1 fm2  | sizeFM fm2 > sizeFM fm1 = mkBalBranch mid_key2 mid_elt2 fm1 (deleteMin fm2)
47.97/29.06	 | otherwise = mkBalBranch mid_key1 mid_elt1 (deleteMax fm1) fm2 where { 
47.97/29.06	mid_elt1 = mid_elt10 vv2;
47.97/29.06	mid_elt10 (_,mid_elt1) = mid_elt1;
47.97/29.06	mid_elt2 = mid_elt20 vv3;
47.97/29.06	mid_elt20 (_,mid_elt2) = mid_elt2;
47.97/29.06	mid_key1 = mid_key10 vv2;
47.97/29.06	mid_key10 (mid_key1,_) = mid_key1;
47.97/29.06	mid_key2 = mid_key20 vv3;
47.97/29.06	mid_key20 (mid_key2,_) = mid_key2;
47.97/29.06	vv2 = findMax fm1;
47.97/29.06	vv3 = findMin fm2;
47.97/29.06	 };
47.97/29.06	
47.97/29.06	glueVBal :: Ord a => FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b;
47.97/29.06	glueVBal EmptyFM fm2 = fm2;
47.97/29.06	glueVBal fm1 EmptyFM = fm1;
47.97/29.06	glueVBal fm_l@(Branch key_l elt_l _ fm_ll fm_lr) fm_r@(Branch key_r elt_r _ fm_rl fm_rr)  | sIZE_RATIO * size_l < size_r = mkBalBranch key_r elt_r (glueVBal fm_l fm_rl) fm_rr
47.97/29.06	 | sIZE_RATIO * size_r < size_l = mkBalBranch key_l elt_l fm_ll (glueVBal fm_lr fm_r)
47.97/29.06	 | otherwise = glueBal fm_l fm_r where { 
47.97/29.06	size_l = sizeFM fm_l;
47.97/29.06	size_r = sizeFM fm_r;
47.97/29.06	 };
47.97/29.06	
47.97/29.06	mkBalBranch :: Ord b => b  ->  a  ->  FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a;
47.97/29.06	mkBalBranch key elt fm_L fm_R  | size_l + size_r < 2 = mkBranch 1 key elt fm_L fm_R
47.97/29.06	 | size_r > sIZE_RATIO * size_l = mkBalBranch0 fm_L fm_R fm_R
47.97/29.06	 | size_l > sIZE_RATIO * size_r = mkBalBranch1 fm_L fm_R fm_L
47.97/29.06	 | otherwise = mkBranch 2 key elt fm_L fm_R where { 
47.97/29.06	double_L fm_l (Branch key_r elt_r _ (Branch key_rl elt_rl _ fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr);
47.97/29.06	double_R (Branch key_l elt_l _ fm_ll (Branch key_lr elt_lr _ fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r);
47.97/29.06	mkBalBranch0 fm_L fm_R (Branch _ _ _ fm_rl fm_rr)  | sizeFM fm_rl < 2 * sizeFM fm_rr = single_L fm_L fm_R
47.97/29.06	 | otherwise = double_L fm_L fm_R;
47.97/29.06	mkBalBranch1 fm_L fm_R (Branch _ _ _ fm_ll fm_lr)  | sizeFM fm_lr < 2 * sizeFM fm_ll = single_R fm_L fm_R
47.97/29.06	 | otherwise = double_R fm_L fm_R;
47.97/29.06	single_L fm_l (Branch key_r elt_r _ fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr;
47.97/29.06	single_R (Branch key_l elt_l _ fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r);
47.97/29.06	size_l = sizeFM fm_L;
47.97/29.06	size_r = sizeFM fm_R;
47.97/29.06	 };
47.97/29.06	
47.97/29.06	mkBranch :: Ord a => Int  ->  a  ->  b  ->  FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b;
47.97/29.06	mkBranch which key elt fm_l fm_r = let { 
47.97/29.06	result = Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r;
47.97/29.06	} in result where { 
47.97/29.06	balance_ok = True;
47.97/29.06	left_ok = left_ok0 fm_l key fm_l;
47.97/29.06	left_ok0 fm_l key EmptyFM = True;
47.97/29.06	left_ok0 fm_l key (Branch left_key _ _ _ _) = let { 
47.97/29.06	biggest_left_key = fst (findMax fm_l);
47.97/29.06	} in biggest_left_key < key;
47.97/29.06	left_size = sizeFM fm_l;
47.97/29.06	right_ok = right_ok0 fm_r key fm_r;
47.97/29.06	right_ok0 fm_r key EmptyFM = True;
47.97/29.06	right_ok0 fm_r key (Branch right_key _ _ _ _) = let { 
47.97/29.06	smallest_right_key = fst (findMin fm_r);
47.97/29.06	} in key < smallest_right_key;
47.97/29.06	right_size = sizeFM fm_r;
47.97/29.06	unbox :: Int  ->  Int;
47.97/29.06	unbox x = x;
47.97/29.06	 };
47.97/29.06	
47.97/29.06	mkVBalBranch :: Ord b => b  ->  a  ->  FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a;
47.97/29.06	mkVBalBranch key elt EmptyFM fm_r = addToFM fm_r key elt;
47.97/29.06	mkVBalBranch key elt fm_l EmptyFM = addToFM fm_l key elt;
47.97/29.06	mkVBalBranch key elt fm_l@(Branch key_l elt_l _ fm_ll fm_lr) fm_r@(Branch key_r elt_r _ fm_rl fm_rr)  | sIZE_RATIO * size_l < size_r = mkBalBranch key_r elt_r (mkVBalBranch key elt fm_l fm_rl) fm_rr
47.97/29.06	 | sIZE_RATIO * size_r < size_l = mkBalBranch key_l elt_l fm_ll (mkVBalBranch key elt fm_lr fm_r)
47.97/29.06	 | otherwise = mkBranch 13 key elt fm_l fm_r where { 
47.97/29.06	size_l = sizeFM fm_l;
47.97/29.06	size_r = sizeFM fm_r;
47.97/29.06	 };
47.97/29.06	
47.97/29.06	sIZE_RATIO :: Int;
47.97/29.06	sIZE_RATIO = 5;
47.97/29.06	
47.97/29.06	sizeFM :: FiniteMap b a  ->  Int;
47.97/29.06	sizeFM EmptyFM = 0;
47.97/29.06	sizeFM (Branch _ _ size _ _) = size;
47.97/29.06	
47.97/29.06	unitFM :: a  ->  b  ->  FiniteMap a b;
47.97/29.06	unitFM key elt = Branch key elt 1 emptyFM emptyFM;
47.97/29.06	
47.97/29.06	}
47.97/29.06	module Maybe where {
47.97/29.06	import qualified FiniteMap;
47.97/29.06	import qualified Main;
47.97/29.06	import qualified Prelude;
47.97/29.06	}
47.97/29.06	module Main where {
47.97/29.06	import qualified FiniteMap;
47.97/29.06	import qualified Maybe;
47.97/29.06	import qualified Prelude;
47.97/29.06	}
47.97/29.06	
47.97/29.06	----------------------------------------
47.97/29.06	
47.97/29.06	(5) BR (EQUIVALENT)
47.97/29.06	Replaced joker patterns by fresh variables and removed binding patterns.
47.97/29.06	
47.97/29.06	Binding Reductions:
47.97/29.06	The bind variable of the following binding Pattern
47.97/29.06	"fm_l@(Branch wu wv ww wx wy)"
47.97/29.06	is replaced by the following term
47.97/29.06	"Branch wu wv ww wx wy"
47.97/29.06	The bind variable of the following binding Pattern
47.97/29.06	"fm_r@(Branch xu xv xw xx xy)"
47.97/29.06	is replaced by the following term
47.97/29.06	"Branch xu xv xw xx xy"
47.97/29.06	The bind variable of the following binding Pattern
47.97/29.06	"fm_l@(Branch vxu vxv vxw vxx vxy)"
47.97/29.06	is replaced by the following term
47.97/29.06	"Branch vxu vxv vxw vxx vxy"
47.97/29.06	The bind variable of the following binding Pattern
47.97/29.06	"fm_r@(Branch vyu vyv vyw vyx vyy)"
47.97/29.06	is replaced by the following term
47.97/29.06	"Branch vyu vyv vyw vyx vyy"
47.97/29.06	
47.97/29.06	----------------------------------------
47.97/29.06	
47.97/29.06	(6)
47.97/29.06	Obligation:
47.97/29.06	mainModule Main 
47.97/29.06	module FiniteMap where {
47.97/29.06	import qualified Main;
47.97/29.06	import qualified Maybe;
47.97/29.06	import qualified Prelude;
47.97/29.06	data FiniteMap a b = EmptyFM  | Branch a b Int (FiniteMap a b) (FiniteMap a b) ;
47.97/29.06	
47.97/29.06	instance (Eq a, Eq b) => Eq FiniteMap b a where { 
47.97/29.06	}
47.97/29.06	addToFM :: Ord b => FiniteMap b a  ->  b  ->  a  ->  FiniteMap b a;
47.97/29.06	addToFM fm key elt = addToFM_C addToFM0 fm key elt;
47.97/29.06	
47.97/29.06	addToFM0 old new = new;
47.97/29.06	
47.97/29.06	addToFM_C :: Ord a => (b  ->  b  ->  b)  ->  FiniteMap a b  ->  a  ->  b  ->  FiniteMap a b;
47.97/29.06	addToFM_C combiner EmptyFM key elt = unitFM key elt;
47.97/29.06	addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt  | new_key < key = mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r
47.97/29.06	 | new_key > key = mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt)
47.97/29.06	 | otherwise = Branch new_key (combiner elt new_elt) size fm_l fm_r;
47.97/29.06	
47.97/29.06	deleteMax :: Ord a => FiniteMap a b  ->  FiniteMap a b;
47.97/29.06	deleteMax (Branch key elt xz fm_l EmptyFM) = fm_l;
47.97/29.06	deleteMax (Branch key elt yu fm_l fm_r) = mkBalBranch key elt fm_l (deleteMax fm_r);
47.97/29.06	
47.97/29.06	deleteMin :: Ord a => FiniteMap a b  ->  FiniteMap a b;
47.97/29.06	deleteMin (Branch key elt vzx EmptyFM fm_r) = fm_r;
47.97/29.06	deleteMin (Branch key elt vzy fm_l fm_r) = mkBalBranch key elt (deleteMin fm_l) fm_r;
47.97/29.06	
47.97/29.06	emptyFM :: FiniteMap b a;
47.97/29.06	emptyFM = EmptyFM;
47.97/29.06	
47.97/29.06	filterFM :: Ord a => (a  ->  b  ->  Bool)  ->  FiniteMap a b  ->  FiniteMap a b;
47.97/29.06	filterFM p EmptyFM = emptyFM;
47.97/29.06	filterFM p (Branch key elt vzz fm_l fm_r)  | p key elt = mkVBalBranch key elt (filterFM p fm_l) (filterFM p fm_r)
47.97/29.06	 | otherwise = glueVBal (filterFM p fm_l) (filterFM p fm_r);
47.97/29.06	
47.97/29.06	findMax :: FiniteMap b a  ->  (b,a);
47.97/29.06	findMax (Branch key elt zx zy EmptyFM) = (key,elt);
47.97/29.06	findMax (Branch key elt zz vuu fm_r) = findMax fm_r;
47.97/29.06	
47.97/29.06	findMin :: FiniteMap b a  ->  (b,a);
47.97/29.06	findMin (Branch key elt wuu EmptyFM wuv) = (key,elt);
47.97/29.06	findMin (Branch key elt wuw fm_l wux) = findMin fm_l;
47.97/29.06	
47.97/29.06	glueBal :: Ord a => FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b;
47.97/29.06	glueBal EmptyFM fm2 = fm2;
47.97/29.06	glueBal fm1 EmptyFM = fm1;
47.97/29.06	glueBal fm1 fm2  | sizeFM fm2 > sizeFM fm1 = mkBalBranch mid_key2 mid_elt2 fm1 (deleteMin fm2)
47.97/29.06	 | otherwise = mkBalBranch mid_key1 mid_elt1 (deleteMax fm1) fm2 where { 
47.97/29.06	mid_elt1 = mid_elt10 vv2;
47.97/29.06	mid_elt10 (vww,mid_elt1) = mid_elt1;
47.97/29.06	mid_elt2 = mid_elt20 vv3;
47.97/29.06	mid_elt20 (vwv,mid_elt2) = mid_elt2;
47.97/29.06	mid_key1 = mid_key10 vv2;
47.97/29.06	mid_key10 (mid_key1,vwx) = mid_key1;
47.97/29.06	mid_key2 = mid_key20 vv3;
47.97/29.06	mid_key20 (mid_key2,vwy) = mid_key2;
47.97/29.06	vv2 = findMax fm1;
47.97/29.06	vv3 = findMin fm2;
47.97/29.06	 };
47.97/29.06	
47.97/29.06	glueVBal :: Ord b => FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a;
47.97/29.06	glueVBal EmptyFM fm2 = fm2;
47.97/29.06	glueVBal fm1 EmptyFM = fm1;
47.97/29.06	glueVBal (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy)  | sIZE_RATIO * size_l < size_r = mkBalBranch vyu vyv (glueVBal (Branch vxu vxv vxw vxx vxy) vyx) vyy
47.97/29.06	 | sIZE_RATIO * size_r < size_l = mkBalBranch vxu vxv vxx (glueVBal vxy (Branch vyu vyv vyw vyx vyy))
47.97/29.06	 | otherwise = glueBal (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy) where { 
47.97/29.06	size_l = sizeFM (Branch vxu vxv vxw vxx vxy);
47.97/29.06	size_r = sizeFM (Branch vyu vyv vyw vyx vyy);
47.97/29.06	 };
47.97/29.06	
47.97/29.06	mkBalBranch :: Ord a => a  ->  b  ->  FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b;
47.97/29.06	mkBalBranch key elt fm_L fm_R  | size_l + size_r < 2 = mkBranch 1 key elt fm_L fm_R
47.97/29.06	 | size_r > sIZE_RATIO * size_l = mkBalBranch0 fm_L fm_R fm_R
47.97/29.06	 | size_l > sIZE_RATIO * size_r = mkBalBranch1 fm_L fm_R fm_L
47.97/29.06	 | otherwise = mkBranch 2 key elt fm_L fm_R where { 
47.97/29.06	double_L fm_l (Branch key_r elt_r vvv (Branch key_rl elt_rl vvw fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr);
47.97/29.06	double_R (Branch key_l elt_l vuw fm_ll (Branch key_lr elt_lr vux fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r);
47.97/29.06	mkBalBranch0 fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr)  | sizeFM fm_rl < 2 * sizeFM fm_rr = single_L fm_L fm_R
47.97/29.06	 | otherwise = double_L fm_L fm_R;
47.97/29.06	mkBalBranch1 fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr)  | sizeFM fm_lr < 2 * sizeFM fm_ll = single_R fm_L fm_R
47.97/29.06	 | otherwise = double_R fm_L fm_R;
47.97/29.06	single_L fm_l (Branch key_r elt_r vwu fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr;
47.97/29.06	single_R (Branch key_l elt_l vuv fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r);
47.97/29.06	size_l = sizeFM fm_L;
47.97/29.06	size_r = sizeFM fm_R;
47.97/29.06	 };
47.97/29.06	
47.97/29.06	mkBranch :: Ord b => Int  ->  b  ->  a  ->  FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a;
47.97/29.06	mkBranch which key elt fm_l fm_r = let { 
47.97/29.06	result = Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r;
47.97/29.06	} in result where { 
47.97/29.06	balance_ok = True;
47.97/29.06	left_ok = left_ok0 fm_l key fm_l;
47.97/29.06	left_ok0 fm_l key EmptyFM = True;
47.97/29.06	left_ok0 fm_l key (Branch left_key yv yw yx yy) = let { 
47.97/29.06	biggest_left_key = fst (findMax fm_l);
47.97/29.06	} in biggest_left_key < key;
47.97/29.06	left_size = sizeFM fm_l;
47.97/29.06	right_ok = right_ok0 fm_r key fm_r;
47.97/29.06	right_ok0 fm_r key EmptyFM = True;
47.97/29.06	right_ok0 fm_r key (Branch right_key yz zu zv zw) = let { 
47.97/29.06	smallest_right_key = fst (findMin fm_r);
47.97/29.06	} in key < smallest_right_key;
47.97/29.06	right_size = sizeFM fm_r;
47.97/29.06	unbox :: Int  ->  Int;
47.97/29.06	unbox x = x;
47.97/29.06	 };
47.97/29.06	
47.97/29.06	mkVBalBranch :: Ord b => b  ->  a  ->  FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a;
47.97/29.06	mkVBalBranch key elt EmptyFM fm_r = addToFM fm_r key elt;
47.97/29.06	mkVBalBranch key elt fm_l EmptyFM = addToFM fm_l key elt;
47.97/29.06	mkVBalBranch key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy)  | sIZE_RATIO * size_l < size_r = mkBalBranch xu xv (mkVBalBranch key elt (Branch wu wv ww wx wy) xx) xy
47.97/29.06	 | sIZE_RATIO * size_r < size_l = mkBalBranch wu wv wx (mkVBalBranch key elt wy (Branch xu xv xw xx xy))
47.97/29.06	 | otherwise = mkBranch 13 key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy) where { 
47.97/29.06	size_l = sizeFM (Branch wu wv ww wx wy);
47.97/29.06	size_r = sizeFM (Branch xu xv xw xx xy);
47.97/29.06	 };
47.97/29.06	
47.97/29.06	sIZE_RATIO :: Int;
47.97/29.06	sIZE_RATIO = 5;
47.97/29.06	
47.97/29.06	sizeFM :: FiniteMap b a  ->  Int;
47.97/29.06	sizeFM EmptyFM = 0;
47.97/29.06	sizeFM (Branch vyz vzu size vzv vzw) = size;
47.97/29.06	
47.97/29.06	unitFM :: b  ->  a  ->  FiniteMap b a;
47.97/29.06	unitFM key elt = Branch key elt 1 emptyFM emptyFM;
47.97/29.06	
47.97/29.06	}
47.97/29.06	module Maybe where {
47.97/29.06	import qualified FiniteMap;
47.97/29.06	import qualified Main;
47.97/29.06	import qualified Prelude;
47.97/29.06	}
47.97/29.06	module Main where {
47.97/29.06	import qualified FiniteMap;
47.97/29.06	import qualified Maybe;
47.97/29.06	import qualified Prelude;
47.97/29.06	}
47.97/29.06	
47.97/29.06	----------------------------------------
47.97/29.06	
47.97/29.06	(7) COR (EQUIVALENT)
47.97/29.06	Cond Reductions:
47.97/29.06	The following Function with conditions
47.97/29.06	"undefined |Falseundefined;
47.97/29.06	"
47.97/29.06	is transformed to
47.97/29.06	"undefined  = undefined1;
47.97/29.06	"
47.97/29.06	"undefined0 True = undefined;
47.97/29.06	"
47.97/29.06	"undefined1  = undefined0 False;
47.97/29.06	"
47.97/29.06	The following Function with conditions
47.97/29.06	"addToFM_C combiner EmptyFM key elt = unitFM key elt;
47.97/29.06	addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt|new_key < keymkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r|new_key > keymkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt)|otherwiseBranch new_key (combiner elt new_elt) size fm_l fm_r;
47.97/29.06	"
47.97/29.06	is transformed to
47.97/29.06	"addToFM_C combiner EmptyFM key elt = addToFM_C4 combiner EmptyFM key elt;
47.97/29.06	addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt = addToFM_C3 combiner (Branch key elt size fm_l fm_r) new_key new_elt;
47.97/29.06	"
47.97/29.06	"addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt True = mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r;
47.97/29.06	addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt False = addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt (new_key > key);
47.97/29.06	"
47.97/29.06	"addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt True = mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt);
47.97/29.06	addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt False = addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt otherwise;
47.97/29.06	"
47.97/29.06	"addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt True = Branch new_key (combiner elt new_elt) size fm_l fm_r;
47.97/29.06	"
47.97/29.06	"addToFM_C3 combiner (Branch key elt size fm_l fm_r) new_key new_elt = addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt (new_key < key);
47.97/29.06	"
47.97/29.06	"addToFM_C4 combiner EmptyFM key elt = unitFM key elt;
47.97/29.06	addToFM_C4 wvu wvv wvw wvx = addToFM_C3 wvu wvv wvw wvx;
47.97/29.06	"
47.97/29.06	The following Function with conditions
47.97/29.06	"mkVBalBranch key elt EmptyFM fm_r = addToFM fm_r key elt;
47.97/29.06	mkVBalBranch key elt fm_l EmptyFM = addToFM fm_l key elt;
47.97/29.06	mkVBalBranch key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy)|sIZE_RATIO * size_l < size_rmkBalBranch xu xv (mkVBalBranch key elt (Branch wu wv ww wx wy) xx) xy|sIZE_RATIO * size_r < size_lmkBalBranch wu wv wx (mkVBalBranch key elt wy (Branch xu xv xw xx xy))|otherwisemkBranch 13 key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy) where {
48.39/29.17	size_l  = sizeFM (Branch wu wv ww wx wy);
48.39/29.17	;
48.39/29.17	size_r  = sizeFM (Branch xu xv xw xx xy);
48.39/29.17	} 
48.39/29.17	;
48.39/29.17	"
48.39/29.17	is transformed to
48.39/29.17	"mkVBalBranch key elt EmptyFM fm_r = mkVBalBranch5 key elt EmptyFM fm_r;
48.39/29.17	mkVBalBranch key elt fm_l EmptyFM = mkVBalBranch4 key elt fm_l EmptyFM;
48.39/29.17	mkVBalBranch key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy) = mkVBalBranch3 key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy);
48.39/29.17	"
48.39/29.17	"mkVBalBranch3 key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy) = mkVBalBranch2 key elt wu wv ww wx wy xu xv xw xx xy (sIZE_RATIO * size_l < size_r) where {
48.39/29.17	mkVBalBranch0 key elt wu wv ww wx wy xu xv xw xx xy True = mkBranch 13 key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy);
48.39/29.17	;
48.39/29.17	mkVBalBranch1 key elt wu wv ww wx wy xu xv xw xx xy True = mkBalBranch wu wv wx (mkVBalBranch key elt wy (Branch xu xv xw xx xy));
48.39/29.17	mkVBalBranch1 key elt wu wv ww wx wy xu xv xw xx xy False = mkVBalBranch0 key elt wu wv ww wx wy xu xv xw xx xy otherwise;
48.39/29.17	;
48.39/29.17	mkVBalBranch2 key elt wu wv ww wx wy xu xv xw xx xy True = mkBalBranch xu xv (mkVBalBranch key elt (Branch wu wv ww wx wy) xx) xy;
48.39/29.17	mkVBalBranch2 key elt wu wv ww wx wy xu xv xw xx xy False = mkVBalBranch1 key elt wu wv ww wx wy xu xv xw xx xy (sIZE_RATIO * size_r < size_l);
48.39/29.17	;
48.39/29.17	size_l  = sizeFM (Branch wu wv ww wx wy);
48.39/29.17	;
48.39/29.17	size_r  = sizeFM (Branch xu xv xw xx xy);
48.39/29.17	} 
48.39/29.17	;
48.39/29.17	"
48.39/29.17	"mkVBalBranch4 key elt fm_l EmptyFM = addToFM fm_l key elt;
48.39/29.17	mkVBalBranch4 wwv www wwx wwy = mkVBalBranch3 wwv www wwx wwy;
48.39/29.17	"
48.39/29.17	"mkVBalBranch5 key elt EmptyFM fm_r = addToFM fm_r key elt;
48.39/29.17	mkVBalBranch5 wxu wxv wxw wxx = mkVBalBranch4 wxu wxv wxw wxx;
48.39/29.17	"
48.39/29.17	The following Function with conditions
48.39/29.17	"mkBalBranch1 fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr)|sizeFM fm_lr < 2 * sizeFM fm_llsingle_R fm_L fm_R|otherwisedouble_R fm_L fm_R;
48.39/29.17	"
48.39/29.17	is transformed to
48.39/29.17	"mkBalBranch1 fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr) = mkBalBranch12 fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr);
48.39/29.18	"
48.39/29.18	"mkBalBranch10 fm_L fm_R vuy vuz vvu fm_ll fm_lr True = double_R fm_L fm_R;
48.39/29.18	"
48.39/29.18	"mkBalBranch11 fm_L fm_R vuy vuz vvu fm_ll fm_lr True = single_R fm_L fm_R;
48.39/29.18	mkBalBranch11 fm_L fm_R vuy vuz vvu fm_ll fm_lr False = mkBalBranch10 fm_L fm_R vuy vuz vvu fm_ll fm_lr otherwise;
48.39/29.18	"
48.39/29.18	"mkBalBranch12 fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr) = mkBalBranch11 fm_L fm_R vuy vuz vvu fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll);
48.39/29.18	"
48.39/29.18	The following Function with conditions
48.39/29.18	"mkBalBranch0 fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr)|sizeFM fm_rl < 2 * sizeFM fm_rrsingle_L fm_L fm_R|otherwisedouble_L fm_L fm_R;
48.39/29.18	"
48.39/29.18	is transformed to
48.39/29.18	"mkBalBranch0 fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr) = mkBalBranch02 fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr);
48.39/29.18	"
48.39/29.18	"mkBalBranch00 fm_L fm_R vvx vvy vvz fm_rl fm_rr True = double_L fm_L fm_R;
48.39/29.18	"
48.39/29.18	"mkBalBranch01 fm_L fm_R vvx vvy vvz fm_rl fm_rr True = single_L fm_L fm_R;
48.39/29.18	mkBalBranch01 fm_L fm_R vvx vvy vvz fm_rl fm_rr False = mkBalBranch00 fm_L fm_R vvx vvy vvz fm_rl fm_rr otherwise;
48.39/29.18	"
48.39/29.18	"mkBalBranch02 fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr) = mkBalBranch01 fm_L fm_R vvx vvy vvz fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr);
48.39/29.18	"
48.39/29.18	The following Function with conditions
48.39/29.18	"mkBalBranch key elt fm_L fm_R|size_l + size_r < 2mkBranch 1 key elt fm_L fm_R|size_r > sIZE_RATIO * size_lmkBalBranch0 fm_L fm_R fm_R|size_l > sIZE_RATIO * size_rmkBalBranch1 fm_L fm_R fm_L|otherwisemkBranch 2 key elt fm_L fm_R where {
48.39/29.18	double_L fm_l (Branch key_r elt_r vvv (Branch key_rl elt_rl vvw fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr);
48.39/29.18	;
48.39/29.18	double_R (Branch key_l elt_l vuw fm_ll (Branch key_lr elt_lr vux fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r);
48.39/29.18	;
48.39/29.18	mkBalBranch0 fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr)|sizeFM fm_rl < 2 * sizeFM fm_rrsingle_L fm_L fm_R|otherwisedouble_L fm_L fm_R;
48.39/29.18	;
48.39/29.18	mkBalBranch1 fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr)|sizeFM fm_lr < 2 * sizeFM fm_llsingle_R fm_L fm_R|otherwisedouble_R fm_L fm_R;
48.39/29.18	;
48.39/29.18	single_L fm_l (Branch key_r elt_r vwu fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr;
48.39/29.18	;
48.39/29.18	single_R (Branch key_l elt_l vuv fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r);
48.39/29.18	;
48.39/29.18	size_l  = sizeFM fm_L;
48.39/29.18	;
48.39/29.18	size_r  = sizeFM fm_R;
48.39/29.18	} 
48.39/29.18	;
48.39/29.18	"
48.39/29.18	is transformed to
48.39/29.18	"mkBalBranch key elt fm_L fm_R = mkBalBranch6 key elt fm_L fm_R;
48.39/29.18	"
48.39/29.18	"mkBalBranch6 key elt fm_L fm_R = mkBalBranch5 key elt fm_L fm_R (size_l + size_r < 2) where {
48.39/29.18	double_L fm_l (Branch key_r elt_r vvv (Branch key_rl elt_rl vvw fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr);
48.39/29.18	;
48.39/29.18	double_R (Branch key_l elt_l vuw fm_ll (Branch key_lr elt_lr vux fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r);
48.39/29.18	;
48.39/29.18	mkBalBranch0 fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr) = mkBalBranch02 fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr);
48.39/29.18	;
48.39/29.18	mkBalBranch00 fm_L fm_R vvx vvy vvz fm_rl fm_rr True = double_L fm_L fm_R;
48.39/29.18	;
48.39/29.18	mkBalBranch01 fm_L fm_R vvx vvy vvz fm_rl fm_rr True = single_L fm_L fm_R;
48.39/29.18	mkBalBranch01 fm_L fm_R vvx vvy vvz fm_rl fm_rr False = mkBalBranch00 fm_L fm_R vvx vvy vvz fm_rl fm_rr otherwise;
48.39/29.18	;
48.39/29.18	mkBalBranch02 fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr) = mkBalBranch01 fm_L fm_R vvx vvy vvz fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr);
48.39/29.18	;
48.39/29.18	mkBalBranch1 fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr) = mkBalBranch12 fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr);
48.39/29.18	;
48.39/29.18	mkBalBranch10 fm_L fm_R vuy vuz vvu fm_ll fm_lr True = double_R fm_L fm_R;
48.39/29.18	;
48.39/29.18	mkBalBranch11 fm_L fm_R vuy vuz vvu fm_ll fm_lr True = single_R fm_L fm_R;
48.39/29.18	mkBalBranch11 fm_L fm_R vuy vuz vvu fm_ll fm_lr False = mkBalBranch10 fm_L fm_R vuy vuz vvu fm_ll fm_lr otherwise;
48.39/29.18	;
48.39/29.18	mkBalBranch12 fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr) = mkBalBranch11 fm_L fm_R vuy vuz vvu fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll);
48.39/29.18	;
48.39/29.18	mkBalBranch2 key elt fm_L fm_R True = mkBranch 2 key elt fm_L fm_R;
48.39/29.18	;
48.39/29.18	mkBalBranch3 key elt fm_L fm_R True = mkBalBranch1 fm_L fm_R fm_L;
48.39/29.18	mkBalBranch3 key elt fm_L fm_R False = mkBalBranch2 key elt fm_L fm_R otherwise;
48.39/29.18	;
48.39/29.18	mkBalBranch4 key elt fm_L fm_R True = mkBalBranch0 fm_L fm_R fm_R;
48.39/29.18	mkBalBranch4 key elt fm_L fm_R False = mkBalBranch3 key elt fm_L fm_R (size_l > sIZE_RATIO * size_r);
48.39/29.18	;
48.39/29.18	mkBalBranch5 key elt fm_L fm_R True = mkBranch 1 key elt fm_L fm_R;
48.39/29.18	mkBalBranch5 key elt fm_L fm_R False = mkBalBranch4 key elt fm_L fm_R (size_r > sIZE_RATIO * size_l);
48.39/29.18	;
48.39/29.18	single_L fm_l (Branch key_r elt_r vwu fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr;
48.39/29.18	;
48.39/29.18	single_R (Branch key_l elt_l vuv fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r);
48.39/29.18	;
48.39/29.18	size_l  = sizeFM fm_L;
48.39/29.18	;
48.39/29.18	size_r  = sizeFM fm_R;
48.39/29.18	} 
48.39/29.18	;
48.39/29.18	"
48.39/29.18	The following Function with conditions
48.39/29.18	"glueBal EmptyFM fm2 = fm2;
48.39/29.18	glueBal fm1 EmptyFM = fm1;
48.39/29.18	glueBal fm1 fm2|sizeFM fm2 > sizeFM fm1mkBalBranch mid_key2 mid_elt2 fm1 (deleteMin fm2)|otherwisemkBalBranch mid_key1 mid_elt1 (deleteMax fm1) fm2 where {
48.39/29.18	mid_elt1  = mid_elt10 vv2;
48.39/29.18	;
48.39/29.18	mid_elt10 (vww,mid_elt1) = mid_elt1;
48.39/29.18	;
48.39/29.18	mid_elt2  = mid_elt20 vv3;
48.39/29.18	;
48.39/29.18	mid_elt20 (vwv,mid_elt2) = mid_elt2;
48.39/29.18	;
48.39/29.18	mid_key1  = mid_key10 vv2;
48.39/29.18	;
48.39/29.18	mid_key10 (mid_key1,vwx) = mid_key1;
48.39/29.18	;
48.39/29.18	mid_key2  = mid_key20 vv3;
48.39/29.18	;
48.39/29.18	mid_key20 (mid_key2,vwy) = mid_key2;
48.39/29.18	;
48.39/29.18	vv2  = findMax fm1;
48.39/29.18	;
48.39/29.18	vv3  = findMin fm2;
48.39/29.18	} 
48.39/29.18	;
48.39/29.18	"
48.39/29.18	is transformed to
48.39/29.18	"glueBal EmptyFM fm2 = glueBal4 EmptyFM fm2;
48.39/29.18	glueBal fm1 EmptyFM = glueBal3 fm1 EmptyFM;
48.39/29.18	glueBal fm1 fm2 = glueBal2 fm1 fm2;
48.39/29.18	"
48.39/29.18	"glueBal2 fm1 fm2 = glueBal1 fm1 fm2 (sizeFM fm2 > sizeFM fm1) where {
48.39/29.18	glueBal0 fm1 fm2 True = mkBalBranch mid_key1 mid_elt1 (deleteMax fm1) fm2;
48.39/29.18	;
48.39/29.18	glueBal1 fm1 fm2 True = mkBalBranch mid_key2 mid_elt2 fm1 (deleteMin fm2);
48.39/29.18	glueBal1 fm1 fm2 False = glueBal0 fm1 fm2 otherwise;
48.39/29.18	;
48.39/29.18	mid_elt1  = mid_elt10 vv2;
48.39/29.18	;
48.39/29.18	mid_elt10 (vww,mid_elt1) = mid_elt1;
48.39/29.18	;
48.39/29.18	mid_elt2  = mid_elt20 vv3;
48.39/29.18	;
48.39/29.18	mid_elt20 (vwv,mid_elt2) = mid_elt2;
48.39/29.18	;
48.39/29.18	mid_key1  = mid_key10 vv2;
48.39/29.18	;
48.39/29.18	mid_key10 (mid_key1,vwx) = mid_key1;
48.39/29.18	;
48.39/29.18	mid_key2  = mid_key20 vv3;
48.39/29.18	;
48.39/29.18	mid_key20 (mid_key2,vwy) = mid_key2;
48.39/29.18	;
48.39/29.18	vv2  = findMax fm1;
48.39/29.18	;
48.39/29.18	vv3  = findMin fm2;
48.39/29.18	} 
48.39/29.18	;
48.39/29.18	"
48.39/29.18	"glueBal3 fm1 EmptyFM = fm1;
48.39/29.18	glueBal3 wyv wyw = glueBal2 wyv wyw;
48.39/29.18	"
48.39/29.18	"glueBal4 EmptyFM fm2 = fm2;
48.39/29.18	glueBal4 wyy wyz = glueBal3 wyy wyz;
48.39/29.18	"
48.39/29.18	The following Function with conditions
48.39/29.18	"glueVBal EmptyFM fm2 = fm2;
48.39/29.18	glueVBal fm1 EmptyFM = fm1;
48.39/29.18	glueVBal (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy)|sIZE_RATIO * size_l < size_rmkBalBranch vyu vyv (glueVBal (Branch vxu vxv vxw vxx vxy) vyx) vyy|sIZE_RATIO * size_r < size_lmkBalBranch vxu vxv vxx (glueVBal vxy (Branch vyu vyv vyw vyx vyy))|otherwiseglueBal (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy) where {
48.39/29.18	size_l  = sizeFM (Branch vxu vxv vxw vxx vxy);
48.39/29.18	;
48.39/29.18	size_r  = sizeFM (Branch vyu vyv vyw vyx vyy);
48.39/29.18	} 
48.39/29.18	;
48.39/29.18	"
48.39/29.18	is transformed to
48.39/29.18	"glueVBal EmptyFM fm2 = glueVBal5 EmptyFM fm2;
48.39/29.18	glueVBal fm1 EmptyFM = glueVBal4 fm1 EmptyFM;
48.39/29.18	glueVBal (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy) = glueVBal3 (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy);
48.39/29.18	"
48.39/29.18	"glueVBal3 (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy) = glueVBal2 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy (sIZE_RATIO * size_l < size_r) where {
48.39/29.18	glueVBal0 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy True = glueBal (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy);
48.39/29.18	;
48.39/29.18	glueVBal1 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy True = mkBalBranch vxu vxv vxx (glueVBal vxy (Branch vyu vyv vyw vyx vyy));
48.39/29.18	glueVBal1 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy False = glueVBal0 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy otherwise;
48.39/29.18	;
48.39/29.18	glueVBal2 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy True = mkBalBranch vyu vyv (glueVBal (Branch vxu vxv vxw vxx vxy) vyx) vyy;
48.39/29.18	glueVBal2 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy False = glueVBal1 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy (sIZE_RATIO * size_r < size_l);
48.39/29.18	;
48.39/29.18	size_l  = sizeFM (Branch vxu vxv vxw vxx vxy);
48.39/29.18	;
48.39/29.18	size_r  = sizeFM (Branch vyu vyv vyw vyx vyy);
48.39/29.18	} 
48.39/29.18	;
48.39/29.18	"
48.39/29.18	"glueVBal4 fm1 EmptyFM = fm1;
48.39/29.18	glueVBal4 wzx wzy = glueVBal3 wzx wzy;
48.39/29.18	"
48.39/29.18	"glueVBal5 EmptyFM fm2 = fm2;
48.39/29.18	glueVBal5 xuu xuv = glueVBal4 xuu xuv;
48.39/29.18	"
48.39/29.18	The following Function with conditions
48.39/29.18	"filterFM p EmptyFM = emptyFM;
48.39/29.18	filterFM p (Branch key elt vzz fm_l fm_r)|p key eltmkVBalBranch key elt (filterFM p fm_l) (filterFM p fm_r)|otherwiseglueVBal (filterFM p fm_l) (filterFM p fm_r);
48.39/29.18	"
48.39/29.18	is transformed to
48.39/29.18	"filterFM p EmptyFM = filterFM3 p EmptyFM;
48.39/29.18	filterFM p (Branch key elt vzz fm_l fm_r) = filterFM2 p (Branch key elt vzz fm_l fm_r);
48.39/29.18	"
48.39/29.18	"filterFM0 p key elt vzz fm_l fm_r True = glueVBal (filterFM p fm_l) (filterFM p fm_r);
48.39/29.18	"
48.39/29.18	"filterFM1 p key elt vzz fm_l fm_r True = mkVBalBranch key elt (filterFM p fm_l) (filterFM p fm_r);
48.39/29.18	filterFM1 p key elt vzz fm_l fm_r False = filterFM0 p key elt vzz fm_l fm_r otherwise;
48.39/29.18	"
48.39/29.18	"filterFM2 p (Branch key elt vzz fm_l fm_r) = filterFM1 p key elt vzz fm_l fm_r (p key elt);
48.39/29.18	"
48.39/29.18	"filterFM3 p EmptyFM = emptyFM;
48.39/29.18	filterFM3 xuy xuz = filterFM2 xuy xuz;
48.39/29.18	"
48.39/29.18	
48.39/29.18	----------------------------------------
48.39/29.18	
48.39/29.18	(8)
48.39/29.18	Obligation:
48.39/29.18	mainModule Main 
48.39/29.18	module FiniteMap where {
48.39/29.18	import qualified Main;
48.39/29.18	import qualified Maybe;
48.39/29.18	import qualified Prelude;
48.39/29.18	data FiniteMap a b = EmptyFM  | Branch a b Int (FiniteMap a b) (FiniteMap a b) ;
48.39/29.18	
48.39/29.18	instance (Eq a, Eq b) => Eq FiniteMap a b where { 
48.39/29.18	}
48.39/29.18	addToFM :: Ord b => FiniteMap b a  ->  b  ->  a  ->  FiniteMap b a;
48.39/29.18	addToFM fm key elt = addToFM_C addToFM0 fm key elt;
48.39/29.18	
48.39/29.18	addToFM0 old new = new;
48.39/29.18	
48.39/29.18	addToFM_C :: Ord a => (b  ->  b  ->  b)  ->  FiniteMap a b  ->  a  ->  b  ->  FiniteMap a b;
48.39/29.18	addToFM_C combiner EmptyFM key elt = addToFM_C4 combiner EmptyFM key elt;
48.39/29.18	addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt = addToFM_C3 combiner (Branch key elt size fm_l fm_r) new_key new_elt;
48.39/29.18	
48.39/29.18	addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt True = Branch new_key (combiner elt new_elt) size fm_l fm_r;
48.39/29.18	
48.39/29.18	addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt True = mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt);
48.39/29.18	addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt False = addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt otherwise;
48.39/29.18	
48.39/29.18	addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt True = mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r;
48.39/29.18	addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt False = addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt (new_key > key);
48.39/29.18	
48.39/29.18	addToFM_C3 combiner (Branch key elt size fm_l fm_r) new_key new_elt = addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt (new_key < key);
48.39/29.18	
48.39/29.18	addToFM_C4 combiner EmptyFM key elt = unitFM key elt;
48.39/29.18	addToFM_C4 wvu wvv wvw wvx = addToFM_C3 wvu wvv wvw wvx;
48.39/29.18	
48.39/29.18	deleteMax :: Ord a => FiniteMap a b  ->  FiniteMap a b;
48.39/29.18	deleteMax (Branch key elt xz fm_l EmptyFM) = fm_l;
48.39/29.18	deleteMax (Branch key elt yu fm_l fm_r) = mkBalBranch key elt fm_l (deleteMax fm_r);
48.39/29.18	
48.39/29.18	deleteMin :: Ord a => FiniteMap a b  ->  FiniteMap a b;
48.39/29.18	deleteMin (Branch key elt vzx EmptyFM fm_r) = fm_r;
48.39/29.18	deleteMin (Branch key elt vzy fm_l fm_r) = mkBalBranch key elt (deleteMin fm_l) fm_r;
48.39/29.18	
48.39/29.18	emptyFM :: FiniteMap a b;
48.39/29.18	emptyFM = EmptyFM;
48.39/29.18	
48.39/29.18	filterFM :: Ord b => (b  ->  a  ->  Bool)  ->  FiniteMap b a  ->  FiniteMap b a;
48.39/29.18	filterFM p EmptyFM = filterFM3 p EmptyFM;
48.39/29.18	filterFM p (Branch key elt vzz fm_l fm_r) = filterFM2 p (Branch key elt vzz fm_l fm_r);
48.39/29.18	
48.39/29.18	filterFM0 p key elt vzz fm_l fm_r True = glueVBal (filterFM p fm_l) (filterFM p fm_r);
48.39/29.18	
48.39/29.18	filterFM1 p key elt vzz fm_l fm_r True = mkVBalBranch key elt (filterFM p fm_l) (filterFM p fm_r);
48.39/29.18	filterFM1 p key elt vzz fm_l fm_r False = filterFM0 p key elt vzz fm_l fm_r otherwise;
48.39/29.18	
48.39/29.18	filterFM2 p (Branch key elt vzz fm_l fm_r) = filterFM1 p key elt vzz fm_l fm_r (p key elt);
48.39/29.18	
48.39/29.18	filterFM3 p EmptyFM = emptyFM;
48.39/29.18	filterFM3 xuy xuz = filterFM2 xuy xuz;
48.39/29.18	
48.39/29.18	findMax :: FiniteMap a b  ->  (a,b);
48.39/29.18	findMax (Branch key elt zx zy EmptyFM) = (key,elt);
48.39/29.18	findMax (Branch key elt zz vuu fm_r) = findMax fm_r;
48.39/29.18	
48.39/29.18	findMin :: FiniteMap a b  ->  (a,b);
48.39/29.18	findMin (Branch key elt wuu EmptyFM wuv) = (key,elt);
48.39/29.18	findMin (Branch key elt wuw fm_l wux) = findMin fm_l;
48.39/29.18	
48.39/29.18	glueBal :: Ord a => FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b;
48.39/29.18	glueBal EmptyFM fm2 = glueBal4 EmptyFM fm2;
48.39/29.18	glueBal fm1 EmptyFM = glueBal3 fm1 EmptyFM;
48.39/29.18	glueBal fm1 fm2 = glueBal2 fm1 fm2;
48.39/29.18	
48.39/29.18	glueBal2 fm1 fm2 = glueBal1 fm1 fm2 (sizeFM fm2 > sizeFM fm1) where { 
48.39/29.18	glueBal0 fm1 fm2 True = mkBalBranch mid_key1 mid_elt1 (deleteMax fm1) fm2;
48.39/29.18	glueBal1 fm1 fm2 True = mkBalBranch mid_key2 mid_elt2 fm1 (deleteMin fm2);
48.39/29.18	glueBal1 fm1 fm2 False = glueBal0 fm1 fm2 otherwise;
48.39/29.18	mid_elt1 = mid_elt10 vv2;
48.39/29.18	mid_elt10 (vww,mid_elt1) = mid_elt1;
48.39/29.18	mid_elt2 = mid_elt20 vv3;
48.39/29.18	mid_elt20 (vwv,mid_elt2) = mid_elt2;
48.39/29.18	mid_key1 = mid_key10 vv2;
48.39/29.18	mid_key10 (mid_key1,vwx) = mid_key1;
48.39/29.18	mid_key2 = mid_key20 vv3;
48.39/29.18	mid_key20 (mid_key2,vwy) = mid_key2;
48.39/29.18	vv2 = findMax fm1;
48.39/29.18	vv3 = findMin fm2;
48.39/29.18	 };
48.39/29.18	
48.39/29.18	glueBal3 fm1 EmptyFM = fm1;
48.39/29.18	glueBal3 wyv wyw = glueBal2 wyv wyw;
48.39/29.18	
48.39/29.18	glueBal4 EmptyFM fm2 = fm2;
48.39/29.18	glueBal4 wyy wyz = glueBal3 wyy wyz;
48.39/29.18	
48.39/29.18	glueVBal :: Ord a => FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b;
48.39/29.18	glueVBal EmptyFM fm2 = glueVBal5 EmptyFM fm2;
48.39/29.18	glueVBal fm1 EmptyFM = glueVBal4 fm1 EmptyFM;
48.39/29.18	glueVBal (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy) = glueVBal3 (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy);
48.39/29.18	
48.39/29.18	glueVBal3 (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy) = glueVBal2 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy (sIZE_RATIO * size_l < size_r) where { 
48.39/29.18	glueVBal0 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy True = glueBal (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy);
48.39/29.18	glueVBal1 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy True = mkBalBranch vxu vxv vxx (glueVBal vxy (Branch vyu vyv vyw vyx vyy));
48.39/29.18	glueVBal1 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy False = glueVBal0 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy otherwise;
48.39/29.18	glueVBal2 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy True = mkBalBranch vyu vyv (glueVBal (Branch vxu vxv vxw vxx vxy) vyx) vyy;
48.39/29.18	glueVBal2 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy False = glueVBal1 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy (sIZE_RATIO * size_r < size_l);
48.39/29.18	size_l = sizeFM (Branch vxu vxv vxw vxx vxy);
48.39/29.18	size_r = sizeFM (Branch vyu vyv vyw vyx vyy);
48.39/29.18	 };
48.39/29.18	
48.39/29.18	glueVBal4 fm1 EmptyFM = fm1;
48.39/29.18	glueVBal4 wzx wzy = glueVBal3 wzx wzy;
48.39/29.18	
48.39/29.18	glueVBal5 EmptyFM fm2 = fm2;
48.39/29.18	glueVBal5 xuu xuv = glueVBal4 xuu xuv;
48.39/29.18	
48.39/29.18	mkBalBranch :: Ord a => a  ->  b  ->  FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b;
48.39/29.18	mkBalBranch key elt fm_L fm_R = mkBalBranch6 key elt fm_L fm_R;
48.39/29.18	
48.39/29.18	mkBalBranch6 key elt fm_L fm_R = mkBalBranch5 key elt fm_L fm_R (size_l + size_r < 2) where { 
48.39/29.18	double_L fm_l (Branch key_r elt_r vvv (Branch key_rl elt_rl vvw fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr);
48.39/29.18	double_R (Branch key_l elt_l vuw fm_ll (Branch key_lr elt_lr vux fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r);
48.39/29.18	mkBalBranch0 fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr) = mkBalBranch02 fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr);
48.39/29.18	mkBalBranch00 fm_L fm_R vvx vvy vvz fm_rl fm_rr True = double_L fm_L fm_R;
48.39/29.18	mkBalBranch01 fm_L fm_R vvx vvy vvz fm_rl fm_rr True = single_L fm_L fm_R;
48.39/29.18	mkBalBranch01 fm_L fm_R vvx vvy vvz fm_rl fm_rr False = mkBalBranch00 fm_L fm_R vvx vvy vvz fm_rl fm_rr otherwise;
48.39/29.18	mkBalBranch02 fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr) = mkBalBranch01 fm_L fm_R vvx vvy vvz fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr);
48.39/29.18	mkBalBranch1 fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr) = mkBalBranch12 fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr);
48.39/29.18	mkBalBranch10 fm_L fm_R vuy vuz vvu fm_ll fm_lr True = double_R fm_L fm_R;
48.39/29.18	mkBalBranch11 fm_L fm_R vuy vuz vvu fm_ll fm_lr True = single_R fm_L fm_R;
48.39/29.18	mkBalBranch11 fm_L fm_R vuy vuz vvu fm_ll fm_lr False = mkBalBranch10 fm_L fm_R vuy vuz vvu fm_ll fm_lr otherwise;
48.39/29.18	mkBalBranch12 fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr) = mkBalBranch11 fm_L fm_R vuy vuz vvu fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll);
48.39/29.18	mkBalBranch2 key elt fm_L fm_R True = mkBranch 2 key elt fm_L fm_R;
48.39/29.18	mkBalBranch3 key elt fm_L fm_R True = mkBalBranch1 fm_L fm_R fm_L;
48.39/29.18	mkBalBranch3 key elt fm_L fm_R False = mkBalBranch2 key elt fm_L fm_R otherwise;
48.39/29.18	mkBalBranch4 key elt fm_L fm_R True = mkBalBranch0 fm_L fm_R fm_R;
48.39/29.18	mkBalBranch4 key elt fm_L fm_R False = mkBalBranch3 key elt fm_L fm_R (size_l > sIZE_RATIO * size_r);
48.39/29.18	mkBalBranch5 key elt fm_L fm_R True = mkBranch 1 key elt fm_L fm_R;
48.39/29.18	mkBalBranch5 key elt fm_L fm_R False = mkBalBranch4 key elt fm_L fm_R (size_r > sIZE_RATIO * size_l);
48.39/29.18	single_L fm_l (Branch key_r elt_r vwu fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr;
48.39/29.18	single_R (Branch key_l elt_l vuv fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r);
48.39/29.18	size_l = sizeFM fm_L;
48.39/29.18	size_r = sizeFM fm_R;
48.39/29.18	 };
48.39/29.18	
48.39/29.18	mkBranch :: Ord b => Int  ->  b  ->  a  ->  FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a;
48.39/29.18	mkBranch which key elt fm_l fm_r = let { 
48.39/29.18	result = Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r;
48.39/29.18	} in result where { 
48.39/29.18	balance_ok = True;
48.39/29.18	left_ok = left_ok0 fm_l key fm_l;
48.39/29.18	left_ok0 fm_l key EmptyFM = True;
48.39/29.18	left_ok0 fm_l key (Branch left_key yv yw yx yy) = let { 
48.39/29.18	biggest_left_key = fst (findMax fm_l);
48.39/29.18	} in biggest_left_key < key;
48.39/29.18	left_size = sizeFM fm_l;
48.39/29.18	right_ok = right_ok0 fm_r key fm_r;
48.39/29.18	right_ok0 fm_r key EmptyFM = True;
48.39/29.18	right_ok0 fm_r key (Branch right_key yz zu zv zw) = let { 
48.39/29.18	smallest_right_key = fst (findMin fm_r);
48.39/29.18	} in key < smallest_right_key;
48.39/29.18	right_size = sizeFM fm_r;
48.39/29.18	unbox :: Int  ->  Int;
48.39/29.18	unbox x = x;
48.39/29.18	 };
48.39/29.18	
48.39/29.18	mkVBalBranch :: Ord b => b  ->  a  ->  FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a;
48.39/29.18	mkVBalBranch key elt EmptyFM fm_r = mkVBalBranch5 key elt EmptyFM fm_r;
48.39/29.18	mkVBalBranch key elt fm_l EmptyFM = mkVBalBranch4 key elt fm_l EmptyFM;
48.39/29.18	mkVBalBranch key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy) = mkVBalBranch3 key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy);
48.39/29.18	
48.39/29.18	mkVBalBranch3 key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy) = mkVBalBranch2 key elt wu wv ww wx wy xu xv xw xx xy (sIZE_RATIO * size_l < size_r) where { 
48.39/29.18	mkVBalBranch0 key elt wu wv ww wx wy xu xv xw xx xy True = mkBranch 13 key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy);
48.39/29.18	mkVBalBranch1 key elt wu wv ww wx wy xu xv xw xx xy True = mkBalBranch wu wv wx (mkVBalBranch key elt wy (Branch xu xv xw xx xy));
48.39/29.18	mkVBalBranch1 key elt wu wv ww wx wy xu xv xw xx xy False = mkVBalBranch0 key elt wu wv ww wx wy xu xv xw xx xy otherwise;
48.39/29.18	mkVBalBranch2 key elt wu wv ww wx wy xu xv xw xx xy True = mkBalBranch xu xv (mkVBalBranch key elt (Branch wu wv ww wx wy) xx) xy;
48.39/29.18	mkVBalBranch2 key elt wu wv ww wx wy xu xv xw xx xy False = mkVBalBranch1 key elt wu wv ww wx wy xu xv xw xx xy (sIZE_RATIO * size_r < size_l);
48.39/29.18	size_l = sizeFM (Branch wu wv ww wx wy);
48.39/29.18	size_r = sizeFM (Branch xu xv xw xx xy);
48.39/29.18	 };
48.39/29.18	
48.39/29.18	mkVBalBranch4 key elt fm_l EmptyFM = addToFM fm_l key elt;
48.39/29.18	mkVBalBranch4 wwv www wwx wwy = mkVBalBranch3 wwv www wwx wwy;
48.39/29.18	
48.39/29.18	mkVBalBranch5 key elt EmptyFM fm_r = addToFM fm_r key elt;
48.39/29.18	mkVBalBranch5 wxu wxv wxw wxx = mkVBalBranch4 wxu wxv wxw wxx;
48.39/29.18	
48.39/29.18	sIZE_RATIO :: Int;
48.39/29.18	sIZE_RATIO = 5;
48.39/29.18	
48.39/29.18	sizeFM :: FiniteMap a b  ->  Int;
48.39/29.18	sizeFM EmptyFM = 0;
48.39/29.18	sizeFM (Branch vyz vzu size vzv vzw) = size;
48.39/29.18	
48.39/29.18	unitFM :: b  ->  a  ->  FiniteMap b a;
48.39/29.18	unitFM key elt = Branch key elt 1 emptyFM emptyFM;
48.39/29.18	
48.39/29.18	}
48.39/29.18	module Maybe where {
48.39/29.18	import qualified FiniteMap;
48.39/29.18	import qualified Main;
48.39/29.18	import qualified Prelude;
48.39/29.18	}
48.39/29.18	module Main where {
48.39/29.18	import qualified FiniteMap;
48.39/29.18	import qualified Maybe;
48.39/29.18	import qualified Prelude;
48.39/29.18	}
48.39/29.18	
48.39/29.18	----------------------------------------
48.39/29.18	
48.39/29.18	(9) LetRed (EQUIVALENT)
48.39/29.18	Let/Where Reductions:
48.39/29.18	The bindings of the following Let/Where expression
48.39/29.18	"mkBalBranch5 key elt fm_L fm_R (size_l + size_r < 2) where {
48.39/29.18	double_L fm_l (Branch key_r elt_r vvv (Branch key_rl elt_rl vvw fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr);
48.39/29.18	;
48.39/29.18	double_R (Branch key_l elt_l vuw fm_ll (Branch key_lr elt_lr vux fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r);
48.39/29.18	;
48.39/29.18	mkBalBranch0 fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr) = mkBalBranch02 fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr);
48.39/29.18	;
48.39/29.18	mkBalBranch00 fm_L fm_R vvx vvy vvz fm_rl fm_rr True = double_L fm_L fm_R;
48.39/29.18	;
48.39/29.18	mkBalBranch01 fm_L fm_R vvx vvy vvz fm_rl fm_rr True = single_L fm_L fm_R;
48.39/29.18	mkBalBranch01 fm_L fm_R vvx vvy vvz fm_rl fm_rr False = mkBalBranch00 fm_L fm_R vvx vvy vvz fm_rl fm_rr otherwise;
48.39/29.18	;
48.39/29.18	mkBalBranch02 fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr) = mkBalBranch01 fm_L fm_R vvx vvy vvz fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr);
48.39/29.18	;
48.39/29.18	mkBalBranch1 fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr) = mkBalBranch12 fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr);
48.39/29.18	;
48.39/29.18	mkBalBranch10 fm_L fm_R vuy vuz vvu fm_ll fm_lr True = double_R fm_L fm_R;
48.39/29.18	;
48.39/29.18	mkBalBranch11 fm_L fm_R vuy vuz vvu fm_ll fm_lr True = single_R fm_L fm_R;
48.39/29.18	mkBalBranch11 fm_L fm_R vuy vuz vvu fm_ll fm_lr False = mkBalBranch10 fm_L fm_R vuy vuz vvu fm_ll fm_lr otherwise;
48.39/29.18	;
48.39/29.18	mkBalBranch12 fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr) = mkBalBranch11 fm_L fm_R vuy vuz vvu fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll);
48.39/29.18	;
48.39/29.18	mkBalBranch2 key elt fm_L fm_R True = mkBranch 2 key elt fm_L fm_R;
48.39/29.18	;
48.39/29.18	mkBalBranch3 key elt fm_L fm_R True = mkBalBranch1 fm_L fm_R fm_L;
48.39/29.18	mkBalBranch3 key elt fm_L fm_R False = mkBalBranch2 key elt fm_L fm_R otherwise;
48.39/29.18	;
48.39/29.18	mkBalBranch4 key elt fm_L fm_R True = mkBalBranch0 fm_L fm_R fm_R;
48.39/29.18	mkBalBranch4 key elt fm_L fm_R False = mkBalBranch3 key elt fm_L fm_R (size_l > sIZE_RATIO * size_r);
48.39/29.18	;
48.39/29.18	mkBalBranch5 key elt fm_L fm_R True = mkBranch 1 key elt fm_L fm_R;
48.39/29.18	mkBalBranch5 key elt fm_L fm_R False = mkBalBranch4 key elt fm_L fm_R (size_r > sIZE_RATIO * size_l);
48.39/29.18	;
48.39/29.18	single_L fm_l (Branch key_r elt_r vwu fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr;
48.39/29.18	;
48.39/29.18	single_R (Branch key_l elt_l vuv fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r);
48.39/29.18	;
48.39/29.18	size_l  = sizeFM fm_L;
48.39/29.18	;
48.39/29.18	size_r  = sizeFM fm_R;
48.39/29.18	} 
48.39/29.18	"
48.39/29.18	are unpacked to the following functions on top level
48.39/29.18	"mkBalBranch6MkBalBranch11 xvu xvv xvw xvx fm_L fm_R vuy vuz vvu fm_ll fm_lr True = mkBalBranch6Single_R xvu xvv xvw xvx fm_L fm_R;
48.39/29.18	mkBalBranch6MkBalBranch11 xvu xvv xvw xvx fm_L fm_R vuy vuz vvu fm_ll fm_lr False = mkBalBranch6MkBalBranch10 xvu xvv xvw xvx fm_L fm_R vuy vuz vvu fm_ll fm_lr otherwise;
48.39/29.18	"
48.39/29.18	"mkBalBranch6Single_L xvu xvv xvw xvx fm_l (Branch key_r elt_r vwu fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 xvu xvv fm_l fm_rl) fm_rr;
48.39/29.18	"
48.39/29.18	"mkBalBranch6Size_r xvu xvv xvw xvx = sizeFM xvw;
48.60/29.24	"
48.60/29.24	"mkBalBranch6MkBalBranch10 xvu xvv xvw xvx fm_L fm_R vuy vuz vvu fm_ll fm_lr True = mkBalBranch6Double_R xvu xvv xvw xvx fm_L fm_R;
48.60/29.24	"
48.60/29.24	"mkBalBranch6MkBalBranch2 xvu xvv xvw xvx key elt fm_L fm_R True = mkBranch 2 key elt fm_L fm_R;
48.60/29.24	"
48.60/29.24	"mkBalBranch6MkBalBranch00 xvu xvv xvw xvx fm_L fm_R vvx vvy vvz fm_rl fm_rr True = mkBalBranch6Double_L xvu xvv xvw xvx fm_L fm_R;
48.60/29.24	"
48.60/29.24	"mkBalBranch6MkBalBranch01 xvu xvv xvw xvx fm_L fm_R vvx vvy vvz fm_rl fm_rr True = mkBalBranch6Single_L xvu xvv xvw xvx fm_L fm_R;
48.60/29.24	mkBalBranch6MkBalBranch01 xvu xvv xvw xvx fm_L fm_R vvx vvy vvz fm_rl fm_rr False = mkBalBranch6MkBalBranch00 xvu xvv xvw xvx fm_L fm_R vvx vvy vvz fm_rl fm_rr otherwise;
48.60/29.24	"
48.60/29.24	"mkBalBranch6MkBalBranch1 xvu xvv xvw xvx fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr) = mkBalBranch6MkBalBranch12 xvu xvv xvw xvx fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr);
48.60/29.24	"
48.60/29.24	"mkBalBranch6Double_L xvu xvv xvw xvx fm_l (Branch key_r elt_r vvv (Branch key_rl elt_rl vvw fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 xvu xvv fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr);
48.60/29.24	"
48.60/29.24	"mkBalBranch6MkBalBranch0 xvu xvv xvw xvx fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr) = mkBalBranch6MkBalBranch02 xvu xvv xvw xvx fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr);
48.60/29.24	"
48.60/29.24	"mkBalBranch6MkBalBranch12 xvu xvv xvw xvx fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr) = mkBalBranch6MkBalBranch11 xvu xvv xvw xvx fm_L fm_R vuy vuz vvu fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll);
48.60/29.24	"
48.60/29.24	"mkBalBranch6MkBalBranch5 xvu xvv xvw xvx key elt fm_L fm_R True = mkBranch 1 key elt fm_L fm_R;
48.60/29.24	mkBalBranch6MkBalBranch5 xvu xvv xvw xvx key elt fm_L fm_R False = mkBalBranch6MkBalBranch4 xvu xvv xvw xvx key elt fm_L fm_R (mkBalBranch6Size_r xvu xvv xvw xvx > sIZE_RATIO * mkBalBranch6Size_l xvu xvv xvw xvx);
48.60/29.24	"
48.60/29.24	"mkBalBranch6Size_l xvu xvv xvw xvx = sizeFM xvx;
48.60/29.24	"
48.60/29.24	"mkBalBranch6MkBalBranch3 xvu xvv xvw xvx key elt fm_L fm_R True = mkBalBranch6MkBalBranch1 xvu xvv xvw xvx fm_L fm_R fm_L;
48.60/29.24	mkBalBranch6MkBalBranch3 xvu xvv xvw xvx key elt fm_L fm_R False = mkBalBranch6MkBalBranch2 xvu xvv xvw xvx key elt fm_L fm_R otherwise;
48.60/29.24	"
48.60/29.24	"mkBalBranch6Double_R xvu xvv xvw xvx (Branch key_l elt_l vuw fm_ll (Branch key_lr elt_lr vux fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 xvu xvv fm_lrr fm_r);
48.60/29.24	"
48.60/29.24	"mkBalBranch6MkBalBranch4 xvu xvv xvw xvx key elt fm_L fm_R True = mkBalBranch6MkBalBranch0 xvu xvv xvw xvx fm_L fm_R fm_R;
48.60/29.24	mkBalBranch6MkBalBranch4 xvu xvv xvw xvx key elt fm_L fm_R False = mkBalBranch6MkBalBranch3 xvu xvv xvw xvx key elt fm_L fm_R (mkBalBranch6Size_l xvu xvv xvw xvx > sIZE_RATIO * mkBalBranch6Size_r xvu xvv xvw xvx);
48.60/29.24	"
48.60/29.24	"mkBalBranch6MkBalBranch02 xvu xvv xvw xvx fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr) = mkBalBranch6MkBalBranch01 xvu xvv xvw xvx fm_L fm_R vvx vvy vvz fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr);
48.60/29.24	"
48.60/29.24	"mkBalBranch6Single_R xvu xvv xvw xvx (Branch key_l elt_l vuv fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 xvu xvv fm_lr fm_r);
48.60/29.24	"
48.60/29.24	The bindings of the following Let/Where expression
48.60/29.24	"let {
48.60/29.24	result  = Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r;
48.60/29.24	} in result where {
48.60/29.24	balance_ok  = True;
48.60/29.24	;
48.60/29.24	left_ok  = left_ok0 fm_l key fm_l;
48.60/29.24	;
48.60/29.24	left_ok0 fm_l key EmptyFM = True;
48.60/29.24	left_ok0 fm_l key (Branch left_key yv yw yx yy) = let {
48.60/29.24	biggest_left_key  = fst (findMax fm_l);
48.60/29.24	} in biggest_left_key < key;
48.60/29.24	;
48.60/29.24	left_size  = sizeFM fm_l;
48.60/29.24	;
48.60/29.24	right_ok  = right_ok0 fm_r key fm_r;
48.60/29.24	;
48.60/29.24	right_ok0 fm_r key EmptyFM = True;
48.60/29.24	right_ok0 fm_r key (Branch right_key yz zu zv zw) = let {
48.60/29.24	smallest_right_key  = fst (findMin fm_r);
48.60/29.24	} in key < smallest_right_key;
48.60/29.24	;
48.60/29.24	right_size  = sizeFM fm_r;
48.60/29.24	;
48.60/29.24	unbox x = x;
48.60/29.24	} 
48.60/29.24	"
48.60/29.24	are unpacked to the following functions on top level
48.60/29.24	"mkBranchLeft_ok0 xvy xvz xwu fm_l key EmptyFM = True;
48.60/29.24	mkBranchLeft_ok0 xvy xvz xwu fm_l key (Branch left_key yv yw yx yy) = mkBranchLeft_ok0Biggest_left_key fm_l < key;
48.60/29.24	"
48.60/29.24	"mkBranchLeft_size xvy xvz xwu = sizeFM xvy;
48.60/29.24	"
48.60/29.24	"mkBranchLeft_ok xvy xvz xwu = mkBranchLeft_ok0 xvy xvz xwu xvy xvz xvy;
48.60/29.24	"
48.60/29.24	"mkBranchRight_ok0 xvy xvz xwu fm_r key EmptyFM = True;
48.60/29.24	mkBranchRight_ok0 xvy xvz xwu fm_r key (Branch right_key yz zu zv zw) = key < mkBranchRight_ok0Smallest_right_key fm_r;
48.60/29.24	"
48.60/29.24	"mkBranchRight_ok xvy xvz xwu = mkBranchRight_ok0 xvy xvz xwu xwu xvz xwu;
48.60/29.24	"
48.60/29.24	"mkBranchUnbox xvy xvz xwu x = x;
48.60/29.24	"
48.60/29.24	"mkBranchRight_size xvy xvz xwu = sizeFM xwu;
48.60/29.24	"
48.60/29.24	"mkBranchBalance_ok xvy xvz xwu = True;
48.60/29.24	"
48.60/29.24	The bindings of the following Let/Where expression
48.60/29.24	"let {
48.60/29.24	result  = Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r;
48.60/29.24	} in result"
48.60/29.24	are unpacked to the following functions on top level
48.60/29.24	"mkBranchResult xwv xww xwx xwy = Branch xwv xww (mkBranchUnbox xwx xwv xwy (1 + mkBranchLeft_size xwx xwv xwy + mkBranchRight_size xwx xwv xwy)) xwx xwy;
48.60/29.24	"
48.60/29.24	The bindings of the following Let/Where expression
48.60/29.24	"glueVBal2 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy (sIZE_RATIO * size_l < size_r) where {
48.60/29.24	glueVBal0 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy True = glueBal (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy);
48.60/29.24	;
48.60/29.24	glueVBal1 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy True = mkBalBranch vxu vxv vxx (glueVBal vxy (Branch vyu vyv vyw vyx vyy));
48.60/29.24	glueVBal1 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy False = glueVBal0 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy otherwise;
48.60/29.24	;
48.60/29.24	glueVBal2 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy True = mkBalBranch vyu vyv (glueVBal (Branch vxu vxv vxw vxx vxy) vyx) vyy;
48.60/29.24	glueVBal2 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy False = glueVBal1 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy (sIZE_RATIO * size_r < size_l);
48.60/29.24	;
48.60/29.24	size_l  = sizeFM (Branch vxu vxv vxw vxx vxy);
48.60/29.24	;
48.60/29.24	size_r  = sizeFM (Branch vyu vyv vyw vyx vyy);
48.60/29.24	} 
48.60/29.24	"
48.60/29.24	are unpacked to the following functions on top level
48.60/29.24	"glueVBal3GlueVBal2 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy True = mkBalBranch vyu vyv (glueVBal (Branch vxu vxv vxw vxx vxy) vyx) vyy;
48.60/29.24	glueVBal3GlueVBal2 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy False = glueVBal3GlueVBal1 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy (sIZE_RATIO * glueVBal3Size_r xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw < glueVBal3Size_l xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw);
48.60/29.24	"
48.60/29.24	"glueVBal3GlueVBal0 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy True = glueBal (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy);
48.60/29.24	"
48.60/29.24	"glueVBal3GlueVBal1 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy True = mkBalBranch vxu vxv vxx (glueVBal vxy (Branch vyu vyv vyw vyx vyy));
48.60/29.24	glueVBal3GlueVBal1 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy False = glueVBal3GlueVBal0 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy otherwise;
48.60/29.24	"
48.60/29.24	"glueVBal3Size_l xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw = sizeFM (Branch xwz xxu xxv xxw xxx);
48.60/29.24	"
48.60/29.24	"glueVBal3Size_r xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw = sizeFM (Branch xxy xxz xyu xyv xyw);
48.60/29.24	"
48.60/29.24	The bindings of the following Let/Where expression
48.60/29.24	"glueBal1 fm1 fm2 (sizeFM fm2 > sizeFM fm1) where {
48.60/29.24	glueBal0 fm1 fm2 True = mkBalBranch mid_key1 mid_elt1 (deleteMax fm1) fm2;
48.60/29.24	;
48.60/29.24	glueBal1 fm1 fm2 True = mkBalBranch mid_key2 mid_elt2 fm1 (deleteMin fm2);
48.60/29.24	glueBal1 fm1 fm2 False = glueBal0 fm1 fm2 otherwise;
48.60/29.24	;
48.60/29.24	mid_elt1  = mid_elt10 vv2;
48.60/29.24	;
48.60/29.24	mid_elt10 (vww,mid_elt1) = mid_elt1;
48.60/29.24	;
48.60/29.24	mid_elt2  = mid_elt20 vv3;
48.60/29.24	;
48.60/29.24	mid_elt20 (vwv,mid_elt2) = mid_elt2;
48.60/29.24	;
48.60/29.24	mid_key1  = mid_key10 vv2;
48.60/29.24	;
48.60/29.24	mid_key10 (mid_key1,vwx) = mid_key1;
48.60/29.24	;
48.60/29.24	mid_key2  = mid_key20 vv3;
48.60/29.24	;
48.60/29.24	mid_key20 (mid_key2,vwy) = mid_key2;
48.60/29.24	;
48.60/29.24	vv2  = findMax fm1;
48.60/29.24	;
48.60/29.24	vv3  = findMin fm2;
48.60/29.24	} 
48.60/29.24	"
48.60/29.24	are unpacked to the following functions on top level
48.60/29.24	"glueBal2GlueBal0 xyx xyy fm1 fm2 True = mkBalBranch (glueBal2Mid_key1 xyx xyy) (glueBal2Mid_elt1 xyx xyy) (deleteMax fm1) fm2;
48.60/29.24	"
48.60/29.24	"glueBal2Mid_key20 xyx xyy (mid_key2,vwy) = mid_key2;
48.60/29.24	"
48.60/29.24	"glueBal2Mid_elt1 xyx xyy = glueBal2Mid_elt10 xyx xyy (glueBal2Vv2 xyx xyy);
48.60/29.24	"
48.60/29.24	"glueBal2Vv3 xyx xyy = findMin xyx;
48.60/29.24	"
48.60/29.24	"glueBal2Mid_elt10 xyx xyy (vww,mid_elt1) = mid_elt1;
48.60/29.24	"
48.60/29.24	"glueBal2GlueBal1 xyx xyy fm1 fm2 True = mkBalBranch (glueBal2Mid_key2 xyx xyy) (glueBal2Mid_elt2 xyx xyy) fm1 (deleteMin fm2);
48.60/29.24	glueBal2GlueBal1 xyx xyy fm1 fm2 False = glueBal2GlueBal0 xyx xyy fm1 fm2 otherwise;
48.60/29.24	"
48.60/29.24	"glueBal2Mid_elt20 xyx xyy (vwv,mid_elt2) = mid_elt2;
48.60/29.24	"
48.60/29.24	"glueBal2Mid_elt2 xyx xyy = glueBal2Mid_elt20 xyx xyy (glueBal2Vv3 xyx xyy);
48.60/29.24	"
48.60/29.24	"glueBal2Mid_key2 xyx xyy = glueBal2Mid_key20 xyx xyy (glueBal2Vv3 xyx xyy);
48.60/29.24	"
48.60/29.24	"glueBal2Mid_key1 xyx xyy = glueBal2Mid_key10 xyx xyy (glueBal2Vv2 xyx xyy);
48.60/29.24	"
48.60/29.24	"glueBal2Vv2 xyx xyy = findMax xyy;
48.60/29.24	"
48.60/29.24	"glueBal2Mid_key10 xyx xyy (mid_key1,vwx) = mid_key1;
48.60/29.24	"
48.60/29.24	The bindings of the following Let/Where expression
48.60/29.24	"mkVBalBranch2 key elt wu wv ww wx wy xu xv xw xx xy (sIZE_RATIO * size_l < size_r) where {
48.60/29.24	mkVBalBranch0 key elt wu wv ww wx wy xu xv xw xx xy True = mkBranch 13 key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy);
48.60/29.24	;
48.60/29.24	mkVBalBranch1 key elt wu wv ww wx wy xu xv xw xx xy True = mkBalBranch wu wv wx (mkVBalBranch key elt wy (Branch xu xv xw xx xy));
48.60/29.24	mkVBalBranch1 key elt wu wv ww wx wy xu xv xw xx xy False = mkVBalBranch0 key elt wu wv ww wx wy xu xv xw xx xy otherwise;
48.60/29.24	;
48.60/29.24	mkVBalBranch2 key elt wu wv ww wx wy xu xv xw xx xy True = mkBalBranch xu xv (mkVBalBranch key elt (Branch wu wv ww wx wy) xx) xy;
48.60/29.24	mkVBalBranch2 key elt wu wv ww wx wy xu xv xw xx xy False = mkVBalBranch1 key elt wu wv ww wx wy xu xv xw xx xy (sIZE_RATIO * size_r < size_l);
48.60/29.24	;
48.60/29.24	size_l  = sizeFM (Branch wu wv ww wx wy);
48.60/29.24	;
48.60/29.24	size_r  = sizeFM (Branch xu xv xw xx xy);
48.60/29.24	} 
48.60/29.24	"
48.60/29.24	are unpacked to the following functions on top level
48.60/29.24	"mkVBalBranch3MkVBalBranch0 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy True = mkBranch 13 key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy);
48.60/29.24	"
48.60/29.24	"mkVBalBranch3MkVBalBranch2 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy True = mkBalBranch xu xv (mkVBalBranch key elt (Branch wu wv ww wx wy) xx) xy;
48.60/29.24	mkVBalBranch3MkVBalBranch2 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy False = mkVBalBranch3MkVBalBranch1 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy (sIZE_RATIO * mkVBalBranch3Size_r xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw < mkVBalBranch3Size_l xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw);
48.60/29.24	"
48.60/29.24	"mkVBalBranch3Size_r xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw = sizeFM (Branch xyz xzu xzv xzw xzx);
48.60/29.24	"
48.60/29.24	"mkVBalBranch3MkVBalBranch1 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy True = mkBalBranch wu wv wx (mkVBalBranch key elt wy (Branch xu xv xw xx xy));
48.60/29.24	mkVBalBranch3MkVBalBranch1 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy False = mkVBalBranch3MkVBalBranch0 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy otherwise;
48.60/29.24	"
48.60/29.24	"mkVBalBranch3Size_l xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw = sizeFM (Branch xzy xzz yuu yuv yuw);
48.60/29.24	"
48.60/29.24	The bindings of the following Let/Where expression
48.60/29.24	"let {
48.60/29.24	biggest_left_key  = fst (findMax fm_l);
48.60/29.24	} in biggest_left_key < key"
48.60/29.24	are unpacked to the following functions on top level
48.60/29.24	"mkBranchLeft_ok0Biggest_left_key yux = fst (findMax yux);
48.60/29.24	"
48.60/29.24	The bindings of the following Let/Where expression
48.60/29.24	"let {
48.60/29.24	smallest_right_key  = fst (findMin fm_r);
48.60/29.24	} in key < smallest_right_key"
48.60/29.24	are unpacked to the following functions on top level
48.60/29.24	"mkBranchRight_ok0Smallest_right_key yuy = fst (findMin yuy);
48.60/29.24	"
48.60/29.24	
48.60/29.24	----------------------------------------
48.60/29.24	
48.60/29.24	(10)
48.60/29.24	Obligation:
48.60/29.24	mainModule Main 
48.60/29.24	module FiniteMap where {
48.60/29.24	import qualified Main;
48.60/29.24	import qualified Maybe;
48.60/29.24	import qualified Prelude;
48.60/29.24	data FiniteMap a b = EmptyFM  | Branch a b Int (FiniteMap a b) (FiniteMap a b) ;
48.60/29.24	
48.60/29.24	instance (Eq a, Eq b) => Eq FiniteMap b a where { 
48.60/29.24	}
48.60/29.24	addToFM :: Ord a => FiniteMap a b  ->  a  ->  b  ->  FiniteMap a b;
48.60/29.24	addToFM fm key elt = addToFM_C addToFM0 fm key elt;
48.60/29.24	
48.60/29.24	addToFM0 old new = new;
48.60/29.24	
48.60/29.24	addToFM_C :: Ord b => (a  ->  a  ->  a)  ->  FiniteMap b a  ->  b  ->  a  ->  FiniteMap b a;
48.60/29.24	addToFM_C combiner EmptyFM key elt = addToFM_C4 combiner EmptyFM key elt;
48.60/29.24	addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt = addToFM_C3 combiner (Branch key elt size fm_l fm_r) new_key new_elt;
48.60/29.24	
48.60/29.24	addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt True = Branch new_key (combiner elt new_elt) size fm_l fm_r;
48.60/29.24	
48.60/29.24	addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt True = mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt);
48.60/29.24	addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt False = addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt otherwise;
48.60/29.24	
48.60/29.24	addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt True = mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r;
48.60/29.24	addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt False = addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt (new_key > key);
48.60/29.24	
48.60/29.24	addToFM_C3 combiner (Branch key elt size fm_l fm_r) new_key new_elt = addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt (new_key < key);
48.60/29.24	
48.60/29.24	addToFM_C4 combiner EmptyFM key elt = unitFM key elt;
48.60/29.24	addToFM_C4 wvu wvv wvw wvx = addToFM_C3 wvu wvv wvw wvx;
48.60/29.24	
48.60/29.24	deleteMax :: Ord b => FiniteMap b a  ->  FiniteMap b a;
48.60/29.24	deleteMax (Branch key elt xz fm_l EmptyFM) = fm_l;
48.60/29.24	deleteMax (Branch key elt yu fm_l fm_r) = mkBalBranch key elt fm_l (deleteMax fm_r);
48.60/29.24	
48.60/29.24	deleteMin :: Ord a => FiniteMap a b  ->  FiniteMap a b;
48.60/29.24	deleteMin (Branch key elt vzx EmptyFM fm_r) = fm_r;
48.60/29.24	deleteMin (Branch key elt vzy fm_l fm_r) = mkBalBranch key elt (deleteMin fm_l) fm_r;
48.60/29.24	
48.60/29.24	emptyFM :: FiniteMap a b;
48.60/29.24	emptyFM = EmptyFM;
48.60/29.24	
48.60/29.24	filterFM :: Ord a => (a  ->  b  ->  Bool)  ->  FiniteMap a b  ->  FiniteMap a b;
48.60/29.24	filterFM p EmptyFM = filterFM3 p EmptyFM;
48.60/29.24	filterFM p (Branch key elt vzz fm_l fm_r) = filterFM2 p (Branch key elt vzz fm_l fm_r);
48.60/29.24	
48.60/29.24	filterFM0 p key elt vzz fm_l fm_r True = glueVBal (filterFM p fm_l) (filterFM p fm_r);
48.60/29.24	
48.60/29.24	filterFM1 p key elt vzz fm_l fm_r True = mkVBalBranch key elt (filterFM p fm_l) (filterFM p fm_r);
48.60/29.24	filterFM1 p key elt vzz fm_l fm_r False = filterFM0 p key elt vzz fm_l fm_r otherwise;
48.60/29.24	
48.60/29.24	filterFM2 p (Branch key elt vzz fm_l fm_r) = filterFM1 p key elt vzz fm_l fm_r (p key elt);
48.60/29.24	
48.60/29.24	filterFM3 p EmptyFM = emptyFM;
48.60/29.24	filterFM3 xuy xuz = filterFM2 xuy xuz;
48.60/29.24	
48.60/29.24	findMax :: FiniteMap a b  ->  (a,b);
48.60/29.24	findMax (Branch key elt zx zy EmptyFM) = (key,elt);
48.60/29.24	findMax (Branch key elt zz vuu fm_r) = findMax fm_r;
48.60/29.24	
48.60/29.24	findMin :: FiniteMap a b  ->  (a,b);
48.60/29.24	findMin (Branch key elt wuu EmptyFM wuv) = (key,elt);
48.60/29.24	findMin (Branch key elt wuw fm_l wux) = findMin fm_l;
48.60/29.24	
48.60/29.24	glueBal :: Ord a => FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b;
48.60/29.24	glueBal EmptyFM fm2 = glueBal4 EmptyFM fm2;
48.60/29.24	glueBal fm1 EmptyFM = glueBal3 fm1 EmptyFM;
48.60/29.24	glueBal fm1 fm2 = glueBal2 fm1 fm2;
48.60/29.24	
48.60/29.24	glueBal2 fm1 fm2 = glueBal2GlueBal1 fm2 fm1 fm1 fm2 (sizeFM fm2 > sizeFM fm1);
48.60/29.24	
48.60/29.24	glueBal2GlueBal0 xyx xyy fm1 fm2 True = mkBalBranch (glueBal2Mid_key1 xyx xyy) (glueBal2Mid_elt1 xyx xyy) (deleteMax fm1) fm2;
48.60/29.24	
48.60/29.24	glueBal2GlueBal1 xyx xyy fm1 fm2 True = mkBalBranch (glueBal2Mid_key2 xyx xyy) (glueBal2Mid_elt2 xyx xyy) fm1 (deleteMin fm2);
48.60/29.24	glueBal2GlueBal1 xyx xyy fm1 fm2 False = glueBal2GlueBal0 xyx xyy fm1 fm2 otherwise;
48.60/29.24	
48.60/29.24	glueBal2Mid_elt1 xyx xyy = glueBal2Mid_elt10 xyx xyy (glueBal2Vv2 xyx xyy);
48.60/29.24	
48.60/29.24	glueBal2Mid_elt10 xyx xyy (vww,mid_elt1) = mid_elt1;
48.60/29.24	
48.60/29.24	glueBal2Mid_elt2 xyx xyy = glueBal2Mid_elt20 xyx xyy (glueBal2Vv3 xyx xyy);
48.60/29.24	
48.60/29.24	glueBal2Mid_elt20 xyx xyy (vwv,mid_elt2) = mid_elt2;
48.60/29.24	
48.60/29.24	glueBal2Mid_key1 xyx xyy = glueBal2Mid_key10 xyx xyy (glueBal2Vv2 xyx xyy);
48.60/29.24	
48.60/29.24	glueBal2Mid_key10 xyx xyy (mid_key1,vwx) = mid_key1;
48.60/29.24	
48.60/29.24	glueBal2Mid_key2 xyx xyy = glueBal2Mid_key20 xyx xyy (glueBal2Vv3 xyx xyy);
48.60/29.24	
48.60/29.24	glueBal2Mid_key20 xyx xyy (mid_key2,vwy) = mid_key2;
48.60/29.24	
48.60/29.24	glueBal2Vv2 xyx xyy = findMax xyy;
48.60/29.24	
48.60/29.24	glueBal2Vv3 xyx xyy = findMin xyx;
48.60/29.24	
48.60/29.24	glueBal3 fm1 EmptyFM = fm1;
48.60/29.24	glueBal3 wyv wyw = glueBal2 wyv wyw;
48.60/29.24	
48.60/29.24	glueBal4 EmptyFM fm2 = fm2;
48.60/29.24	glueBal4 wyy wyz = glueBal3 wyy wyz;
48.60/29.24	
48.60/29.24	glueVBal :: Ord a => FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b;
48.60/29.24	glueVBal EmptyFM fm2 = glueVBal5 EmptyFM fm2;
48.60/29.24	glueVBal fm1 EmptyFM = glueVBal4 fm1 EmptyFM;
48.60/29.24	glueVBal (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy) = glueVBal3 (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy);
48.60/29.24	
48.60/29.24	glueVBal3 (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy) = glueVBal3GlueVBal2 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy (sIZE_RATIO * glueVBal3Size_l vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy < glueVBal3Size_r vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy);
48.79/29.29	
48.79/29.29	glueVBal3GlueVBal0 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy True = glueBal (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy);
48.79/29.29	
48.79/29.29	glueVBal3GlueVBal1 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy True = mkBalBranch vxu vxv vxx (glueVBal vxy (Branch vyu vyv vyw vyx vyy));
48.79/29.29	glueVBal3GlueVBal1 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy False = glueVBal3GlueVBal0 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy otherwise;
48.79/29.29	
48.79/29.29	glueVBal3GlueVBal2 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy True = mkBalBranch vyu vyv (glueVBal (Branch vxu vxv vxw vxx vxy) vyx) vyy;
48.79/29.29	glueVBal3GlueVBal2 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy False = glueVBal3GlueVBal1 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy (sIZE_RATIO * glueVBal3Size_r xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw < glueVBal3Size_l xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw);
48.79/29.29	
48.79/29.29	glueVBal3Size_l xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw = sizeFM (Branch xwz xxu xxv xxw xxx);
48.79/29.29	
48.79/29.29	glueVBal3Size_r xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw = sizeFM (Branch xxy xxz xyu xyv xyw);
48.79/29.29	
48.79/29.29	glueVBal4 fm1 EmptyFM = fm1;
48.79/29.29	glueVBal4 wzx wzy = glueVBal3 wzx wzy;
48.79/29.29	
48.79/29.29	glueVBal5 EmptyFM fm2 = fm2;
48.79/29.29	glueVBal5 xuu xuv = glueVBal4 xuu xuv;
48.79/29.29	
48.79/29.29	mkBalBranch :: Ord a => a  ->  b  ->  FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b;
48.79/29.29	mkBalBranch key elt fm_L fm_R = mkBalBranch6 key elt fm_L fm_R;
48.79/29.29	
48.79/29.29	mkBalBranch6 key elt fm_L fm_R = mkBalBranch6MkBalBranch5 key elt fm_R fm_L key elt fm_L fm_R (mkBalBranch6Size_l key elt fm_R fm_L + mkBalBranch6Size_r key elt fm_R fm_L < 2);
48.79/29.29	
48.79/29.29	mkBalBranch6Double_L xvu xvv xvw xvx fm_l (Branch key_r elt_r vvv (Branch key_rl elt_rl vvw fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 xvu xvv fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr);
48.79/29.29	
48.79/29.29	mkBalBranch6Double_R xvu xvv xvw xvx (Branch key_l elt_l vuw fm_ll (Branch key_lr elt_lr vux fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 xvu xvv fm_lrr fm_r);
48.79/29.29	
48.79/29.29	mkBalBranch6MkBalBranch0 xvu xvv xvw xvx fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr) = mkBalBranch6MkBalBranch02 xvu xvv xvw xvx fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr);
48.79/29.29	
48.79/29.29	mkBalBranch6MkBalBranch00 xvu xvv xvw xvx fm_L fm_R vvx vvy vvz fm_rl fm_rr True = mkBalBranch6Double_L xvu xvv xvw xvx fm_L fm_R;
48.79/29.29	
48.79/29.29	mkBalBranch6MkBalBranch01 xvu xvv xvw xvx fm_L fm_R vvx vvy vvz fm_rl fm_rr True = mkBalBranch6Single_L xvu xvv xvw xvx fm_L fm_R;
48.79/29.29	mkBalBranch6MkBalBranch01 xvu xvv xvw xvx fm_L fm_R vvx vvy vvz fm_rl fm_rr False = mkBalBranch6MkBalBranch00 xvu xvv xvw xvx fm_L fm_R vvx vvy vvz fm_rl fm_rr otherwise;
48.79/29.29	
48.79/29.29	mkBalBranch6MkBalBranch02 xvu xvv xvw xvx fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr) = mkBalBranch6MkBalBranch01 xvu xvv xvw xvx fm_L fm_R vvx vvy vvz fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr);
48.79/29.29	
48.79/29.29	mkBalBranch6MkBalBranch1 xvu xvv xvw xvx fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr) = mkBalBranch6MkBalBranch12 xvu xvv xvw xvx fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr);
48.79/29.29	
48.79/29.29	mkBalBranch6MkBalBranch10 xvu xvv xvw xvx fm_L fm_R vuy vuz vvu fm_ll fm_lr True = mkBalBranch6Double_R xvu xvv xvw xvx fm_L fm_R;
48.79/29.29	
48.79/29.29	mkBalBranch6MkBalBranch11 xvu xvv xvw xvx fm_L fm_R vuy vuz vvu fm_ll fm_lr True = mkBalBranch6Single_R xvu xvv xvw xvx fm_L fm_R;
48.79/29.29	mkBalBranch6MkBalBranch11 xvu xvv xvw xvx fm_L fm_R vuy vuz vvu fm_ll fm_lr False = mkBalBranch6MkBalBranch10 xvu xvv xvw xvx fm_L fm_R vuy vuz vvu fm_ll fm_lr otherwise;
48.79/29.29	
48.79/29.29	mkBalBranch6MkBalBranch12 xvu xvv xvw xvx fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr) = mkBalBranch6MkBalBranch11 xvu xvv xvw xvx fm_L fm_R vuy vuz vvu fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll);
48.79/29.29	
48.79/29.29	mkBalBranch6MkBalBranch2 xvu xvv xvw xvx key elt fm_L fm_R True = mkBranch 2 key elt fm_L fm_R;
48.79/29.29	
48.79/29.29	mkBalBranch6MkBalBranch3 xvu xvv xvw xvx key elt fm_L fm_R True = mkBalBranch6MkBalBranch1 xvu xvv xvw xvx fm_L fm_R fm_L;
48.79/29.29	mkBalBranch6MkBalBranch3 xvu xvv xvw xvx key elt fm_L fm_R False = mkBalBranch6MkBalBranch2 xvu xvv xvw xvx key elt fm_L fm_R otherwise;
48.79/29.29	
48.79/29.29	mkBalBranch6MkBalBranch4 xvu xvv xvw xvx key elt fm_L fm_R True = mkBalBranch6MkBalBranch0 xvu xvv xvw xvx fm_L fm_R fm_R;
48.79/29.29	mkBalBranch6MkBalBranch4 xvu xvv xvw xvx key elt fm_L fm_R False = mkBalBranch6MkBalBranch3 xvu xvv xvw xvx key elt fm_L fm_R (mkBalBranch6Size_l xvu xvv xvw xvx > sIZE_RATIO * mkBalBranch6Size_r xvu xvv xvw xvx);
48.79/29.29	
48.79/29.29	mkBalBranch6MkBalBranch5 xvu xvv xvw xvx key elt fm_L fm_R True = mkBranch 1 key elt fm_L fm_R;
48.79/29.29	mkBalBranch6MkBalBranch5 xvu xvv xvw xvx key elt fm_L fm_R False = mkBalBranch6MkBalBranch4 xvu xvv xvw xvx key elt fm_L fm_R (mkBalBranch6Size_r xvu xvv xvw xvx > sIZE_RATIO * mkBalBranch6Size_l xvu xvv xvw xvx);
48.79/29.29	
48.79/29.29	mkBalBranch6Single_L xvu xvv xvw xvx fm_l (Branch key_r elt_r vwu fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 xvu xvv fm_l fm_rl) fm_rr;
48.79/29.29	
48.79/29.29	mkBalBranch6Single_R xvu xvv xvw xvx (Branch key_l elt_l vuv fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 xvu xvv fm_lr fm_r);
48.79/29.29	
48.79/29.29	mkBalBranch6Size_l xvu xvv xvw xvx = sizeFM xvx;
48.79/29.29	
48.79/29.29	mkBalBranch6Size_r xvu xvv xvw xvx = sizeFM xvw;
48.79/29.29	
48.79/29.29	mkBranch :: Ord b => Int  ->  b  ->  a  ->  FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a;
48.79/29.29	mkBranch which key elt fm_l fm_r = mkBranchResult key elt fm_l fm_r;
48.79/29.29	
48.79/29.29	mkBranchBalance_ok xvy xvz xwu = True;
48.79/29.29	
48.79/29.29	mkBranchLeft_ok xvy xvz xwu = mkBranchLeft_ok0 xvy xvz xwu xvy xvz xvy;
48.79/29.29	
48.79/29.29	mkBranchLeft_ok0 xvy xvz xwu fm_l key EmptyFM = True;
48.79/29.29	mkBranchLeft_ok0 xvy xvz xwu fm_l key (Branch left_key yv yw yx yy) = mkBranchLeft_ok0Biggest_left_key fm_l < key;
48.79/29.29	
48.79/29.29	mkBranchLeft_ok0Biggest_left_key yux = fst (findMax yux);
48.79/29.29	
48.79/29.29	mkBranchLeft_size xvy xvz xwu = sizeFM xvy;
48.79/29.29	
48.79/29.29	mkBranchResult xwv xww xwx xwy = Branch xwv xww (mkBranchUnbox xwx xwv xwy (1 + mkBranchLeft_size xwx xwv xwy + mkBranchRight_size xwx xwv xwy)) xwx xwy;
48.79/29.29	
48.79/29.29	mkBranchRight_ok xvy xvz xwu = mkBranchRight_ok0 xvy xvz xwu xwu xvz xwu;
48.79/29.29	
48.79/29.29	mkBranchRight_ok0 xvy xvz xwu fm_r key EmptyFM = True;
48.79/29.29	mkBranchRight_ok0 xvy xvz xwu fm_r key (Branch right_key yz zu zv zw) = key < mkBranchRight_ok0Smallest_right_key fm_r;
48.79/29.29	
48.79/29.29	mkBranchRight_ok0Smallest_right_key yuy = fst (findMin yuy);
48.79/29.29	
48.79/29.29	mkBranchRight_size xvy xvz xwu = sizeFM xwu;
48.79/29.29	
48.79/29.29	mkBranchUnbox :: Ord a =>  ->  (FiniteMap a b) ( ->  a ( ->  (FiniteMap a b) (Int  ->  Int)));
48.79/29.29	mkBranchUnbox xvy xvz xwu x = x;
48.79/29.29	
48.79/29.29	mkVBalBranch :: Ord a => a  ->  b  ->  FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b;
48.79/29.29	mkVBalBranch key elt EmptyFM fm_r = mkVBalBranch5 key elt EmptyFM fm_r;
48.79/29.29	mkVBalBranch key elt fm_l EmptyFM = mkVBalBranch4 key elt fm_l EmptyFM;
48.79/29.29	mkVBalBranch key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy) = mkVBalBranch3 key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy);
48.79/29.29	
48.79/29.29	mkVBalBranch3 key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy) = mkVBalBranch3MkVBalBranch2 xu xv xw xx xy wu wv ww wx wy key elt wu wv ww wx wy xu xv xw xx xy (sIZE_RATIO * mkVBalBranch3Size_l xu xv xw xx xy wu wv ww wx wy < mkVBalBranch3Size_r xu xv xw xx xy wu wv ww wx wy);
48.79/29.29	
48.79/29.29	mkVBalBranch3MkVBalBranch0 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy True = mkBranch 13 key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy);
48.79/29.29	
48.79/29.29	mkVBalBranch3MkVBalBranch1 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy True = mkBalBranch wu wv wx (mkVBalBranch key elt wy (Branch xu xv xw xx xy));
48.79/29.29	mkVBalBranch3MkVBalBranch1 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy False = mkVBalBranch3MkVBalBranch0 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy otherwise;
48.79/29.29	
48.79/29.29	mkVBalBranch3MkVBalBranch2 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy True = mkBalBranch xu xv (mkVBalBranch key elt (Branch wu wv ww wx wy) xx) xy;
48.79/29.29	mkVBalBranch3MkVBalBranch2 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy False = mkVBalBranch3MkVBalBranch1 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy (sIZE_RATIO * mkVBalBranch3Size_r xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw < mkVBalBranch3Size_l xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw);
48.79/29.29	
48.79/29.29	mkVBalBranch3Size_l xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw = sizeFM (Branch xzy xzz yuu yuv yuw);
48.79/29.29	
48.79/29.29	mkVBalBranch3Size_r xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw = sizeFM (Branch xyz xzu xzv xzw xzx);
48.79/29.29	
48.79/29.29	mkVBalBranch4 key elt fm_l EmptyFM = addToFM fm_l key elt;
48.79/29.29	mkVBalBranch4 wwv www wwx wwy = mkVBalBranch3 wwv www wwx wwy;
48.79/29.29	
48.79/29.29	mkVBalBranch5 key elt EmptyFM fm_r = addToFM fm_r key elt;
48.79/29.29	mkVBalBranch5 wxu wxv wxw wxx = mkVBalBranch4 wxu wxv wxw wxx;
48.79/29.29	
48.79/29.29	sIZE_RATIO :: Int;
48.79/29.29	sIZE_RATIO = 5;
48.79/29.29	
48.79/29.29	sizeFM :: FiniteMap b a  ->  Int;
48.79/29.29	sizeFM EmptyFM = 0;
48.79/29.29	sizeFM (Branch vyz vzu size vzv vzw) = size;
48.79/29.29	
48.79/29.29	unitFM :: b  ->  a  ->  FiniteMap b a;
48.79/29.29	unitFM key elt = Branch key elt 1 emptyFM emptyFM;
48.79/29.29	
48.79/29.29	}
48.79/29.29	module Maybe where {
48.79/29.29	import qualified FiniteMap;
48.79/29.29	import qualified Main;
48.79/29.29	import qualified Prelude;
48.79/29.29	}
48.79/29.29	module Main where {
48.79/29.29	import qualified FiniteMap;
48.79/29.29	import qualified Maybe;
48.79/29.29	import qualified Prelude;
48.79/29.29	}
48.79/29.29	
48.79/29.29	----------------------------------------
48.79/29.29	
48.79/29.29	(11) NumRed (SOUND)
48.79/29.29	Num Reduction:All numbers are transformed to their corresponding representation with Succ, Pred and Zero.
48.79/29.29	----------------------------------------
48.79/29.29	
48.79/29.29	(12)
48.79/29.29	Obligation:
48.79/29.29	mainModule Main 
48.79/29.29	module FiniteMap where {
48.79/29.29	import qualified Main;
48.79/29.29	import qualified Maybe;
48.79/29.29	import qualified Prelude;
48.79/29.29	data FiniteMap b a = EmptyFM  | Branch b a Int (FiniteMap b a) (FiniteMap b a) ;
48.79/29.29	
48.79/29.29	instance (Eq a, Eq b) => Eq FiniteMap b a where { 
48.79/29.29	}
48.79/29.29	addToFM :: Ord a => FiniteMap a b  ->  a  ->  b  ->  FiniteMap a b;
48.79/29.29	addToFM fm key elt = addToFM_C addToFM0 fm key elt;
48.79/29.29	
48.79/29.29	addToFM0 old new = new;
48.79/29.29	
48.79/29.29	addToFM_C :: Ord b => (a  ->  a  ->  a)  ->  FiniteMap b a  ->  b  ->  a  ->  FiniteMap b a;
48.79/29.29	addToFM_C combiner EmptyFM key elt = addToFM_C4 combiner EmptyFM key elt;
48.79/29.29	addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt = addToFM_C3 combiner (Branch key elt size fm_l fm_r) new_key new_elt;
48.79/29.29	
48.79/29.29	addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt True = Branch new_key (combiner elt new_elt) size fm_l fm_r;
48.79/29.29	
48.79/29.29	addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt True = mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt);
48.79/29.29	addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt False = addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt otherwise;
48.79/29.29	
48.79/29.29	addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt True = mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r;
48.79/29.29	addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt False = addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt (new_key > key);
48.79/29.29	
48.79/29.29	addToFM_C3 combiner (Branch key elt size fm_l fm_r) new_key new_elt = addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt (new_key < key);
48.79/29.29	
48.79/29.29	addToFM_C4 combiner EmptyFM key elt = unitFM key elt;
48.79/29.29	addToFM_C4 wvu wvv wvw wvx = addToFM_C3 wvu wvv wvw wvx;
48.79/29.29	
48.79/29.29	deleteMax :: Ord b => FiniteMap b a  ->  FiniteMap b a;
48.79/29.29	deleteMax (Branch key elt xz fm_l EmptyFM) = fm_l;
48.79/29.29	deleteMax (Branch key elt yu fm_l fm_r) = mkBalBranch key elt fm_l (deleteMax fm_r);
48.79/29.29	
48.79/29.29	deleteMin :: Ord a => FiniteMap a b  ->  FiniteMap a b;
48.79/29.29	deleteMin (Branch key elt vzx EmptyFM fm_r) = fm_r;
48.79/29.29	deleteMin (Branch key elt vzy fm_l fm_r) = mkBalBranch key elt (deleteMin fm_l) fm_r;
48.79/29.29	
48.79/29.29	emptyFM :: FiniteMap b a;
48.79/29.29	emptyFM = EmptyFM;
48.79/29.29	
48.79/29.29	filterFM :: Ord a => (a  ->  b  ->  Bool)  ->  FiniteMap a b  ->  FiniteMap a b;
48.79/29.29	filterFM p EmptyFM = filterFM3 p EmptyFM;
48.79/29.29	filterFM p (Branch key elt vzz fm_l fm_r) = filterFM2 p (Branch key elt vzz fm_l fm_r);
48.79/29.29	
48.79/29.29	filterFM0 p key elt vzz fm_l fm_r True = glueVBal (filterFM p fm_l) (filterFM p fm_r);
48.79/29.29	
48.79/29.29	filterFM1 p key elt vzz fm_l fm_r True = mkVBalBranch key elt (filterFM p fm_l) (filterFM p fm_r);
48.79/29.29	filterFM1 p key elt vzz fm_l fm_r False = filterFM0 p key elt vzz fm_l fm_r otherwise;
48.79/29.29	
48.79/29.29	filterFM2 p (Branch key elt vzz fm_l fm_r) = filterFM1 p key elt vzz fm_l fm_r (p key elt);
48.79/29.29	
48.79/29.29	filterFM3 p EmptyFM = emptyFM;
48.79/29.29	filterFM3 xuy xuz = filterFM2 xuy xuz;
48.79/29.29	
48.79/29.29	findMax :: FiniteMap b a  ->  (b,a);
48.79/29.29	findMax (Branch key elt zx zy EmptyFM) = (key,elt);
48.79/29.29	findMax (Branch key elt zz vuu fm_r) = findMax fm_r;
48.79/29.29	
48.79/29.29	findMin :: FiniteMap b a  ->  (b,a);
48.79/29.29	findMin (Branch key elt wuu EmptyFM wuv) = (key,elt);
48.79/29.29	findMin (Branch key elt wuw fm_l wux) = findMin fm_l;
48.79/29.29	
48.79/29.29	glueBal :: Ord b => FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a;
48.79/29.29	glueBal EmptyFM fm2 = glueBal4 EmptyFM fm2;
48.79/29.29	glueBal fm1 EmptyFM = glueBal3 fm1 EmptyFM;
48.79/29.29	glueBal fm1 fm2 = glueBal2 fm1 fm2;
48.79/29.29	
48.79/29.29	glueBal2 fm1 fm2 = glueBal2GlueBal1 fm2 fm1 fm1 fm2 (sizeFM fm2 > sizeFM fm1);
48.79/29.29	
48.79/29.29	glueBal2GlueBal0 xyx xyy fm1 fm2 True = mkBalBranch (glueBal2Mid_key1 xyx xyy) (glueBal2Mid_elt1 xyx xyy) (deleteMax fm1) fm2;
48.79/29.29	
48.79/29.29	glueBal2GlueBal1 xyx xyy fm1 fm2 True = mkBalBranch (glueBal2Mid_key2 xyx xyy) (glueBal2Mid_elt2 xyx xyy) fm1 (deleteMin fm2);
48.79/29.29	glueBal2GlueBal1 xyx xyy fm1 fm2 False = glueBal2GlueBal0 xyx xyy fm1 fm2 otherwise;
48.79/29.29	
48.79/29.29	glueBal2Mid_elt1 xyx xyy = glueBal2Mid_elt10 xyx xyy (glueBal2Vv2 xyx xyy);
48.79/29.29	
48.79/29.29	glueBal2Mid_elt10 xyx xyy (vww,mid_elt1) = mid_elt1;
48.79/29.29	
48.79/29.29	glueBal2Mid_elt2 xyx xyy = glueBal2Mid_elt20 xyx xyy (glueBal2Vv3 xyx xyy);
48.79/29.29	
48.79/29.29	glueBal2Mid_elt20 xyx xyy (vwv,mid_elt2) = mid_elt2;
48.79/29.29	
48.79/29.29	glueBal2Mid_key1 xyx xyy = glueBal2Mid_key10 xyx xyy (glueBal2Vv2 xyx xyy);
48.79/29.29	
48.79/29.29	glueBal2Mid_key10 xyx xyy (mid_key1,vwx) = mid_key1;
48.79/29.29	
48.79/29.29	glueBal2Mid_key2 xyx xyy = glueBal2Mid_key20 xyx xyy (glueBal2Vv3 xyx xyy);
48.79/29.29	
48.79/29.29	glueBal2Mid_key20 xyx xyy (mid_key2,vwy) = mid_key2;
48.79/29.29	
48.79/29.29	glueBal2Vv2 xyx xyy = findMax xyy;
48.79/29.29	
48.79/29.29	glueBal2Vv3 xyx xyy = findMin xyx;
48.79/29.29	
48.79/29.29	glueBal3 fm1 EmptyFM = fm1;
48.79/29.29	glueBal3 wyv wyw = glueBal2 wyv wyw;
48.79/29.29	
48.79/29.29	glueBal4 EmptyFM fm2 = fm2;
48.79/29.29	glueBal4 wyy wyz = glueBal3 wyy wyz;
48.79/29.29	
48.79/29.29	glueVBal :: Ord a => FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b;
48.79/29.29	glueVBal EmptyFM fm2 = glueVBal5 EmptyFM fm2;
48.79/29.29	glueVBal fm1 EmptyFM = glueVBal4 fm1 EmptyFM;
48.79/29.29	glueVBal (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy) = glueVBal3 (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy);
48.79/29.29	
48.79/29.29	glueVBal3 (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy) = glueVBal3GlueVBal2 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy (sIZE_RATIO * glueVBal3Size_l vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy < glueVBal3Size_r vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy);
48.79/29.29	
48.79/29.29	glueVBal3GlueVBal0 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy True = glueBal (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy);
48.79/29.29	
48.79/29.29	glueVBal3GlueVBal1 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy True = mkBalBranch vxu vxv vxx (glueVBal vxy (Branch vyu vyv vyw vyx vyy));
48.79/29.29	glueVBal3GlueVBal1 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy False = glueVBal3GlueVBal0 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy otherwise;
48.79/29.29	
48.79/29.29	glueVBal3GlueVBal2 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy True = mkBalBranch vyu vyv (glueVBal (Branch vxu vxv vxw vxx vxy) vyx) vyy;
48.79/29.29	glueVBal3GlueVBal2 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy False = glueVBal3GlueVBal1 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy (sIZE_RATIO * glueVBal3Size_r xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw < glueVBal3Size_l xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw);
48.79/29.29	
48.79/29.29	glueVBal3Size_l xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw = sizeFM (Branch xwz xxu xxv xxw xxx);
48.79/29.29	
48.79/29.29	glueVBal3Size_r xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw = sizeFM (Branch xxy xxz xyu xyv xyw);
48.79/29.29	
48.79/29.29	glueVBal4 fm1 EmptyFM = fm1;
48.79/29.29	glueVBal4 wzx wzy = glueVBal3 wzx wzy;
48.79/29.29	
48.79/29.29	glueVBal5 EmptyFM fm2 = fm2;
48.79/29.29	glueVBal5 xuu xuv = glueVBal4 xuu xuv;
48.79/29.29	
48.79/29.29	mkBalBranch :: Ord a => a  ->  b  ->  FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b;
48.79/29.29	mkBalBranch key elt fm_L fm_R = mkBalBranch6 key elt fm_L fm_R;
48.79/29.29	
48.79/29.29	mkBalBranch6 key elt fm_L fm_R = mkBalBranch6MkBalBranch5 key elt fm_R fm_L key elt fm_L fm_R (mkBalBranch6Size_l key elt fm_R fm_L + mkBalBranch6Size_r key elt fm_R fm_L < Pos (Succ (Succ Zero)));
48.79/29.29	
48.79/29.29	mkBalBranch6Double_L xvu xvv xvw xvx fm_l (Branch key_r elt_r vvv (Branch key_rl elt_rl vvw fm_rll fm_rlr) fm_rr) = mkBranch (Pos (Succ (Succ (Succ (Succ (Succ Zero)))))) key_rl elt_rl (mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))) xvu xvv fm_l fm_rll) (mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))) key_r elt_r fm_rlr fm_rr);
48.79/29.29	
48.79/29.29	mkBalBranch6Double_R xvu xvv xvw xvx (Branch key_l elt_l vuw fm_ll (Branch key_lr elt_lr vux fm_lrl fm_lrr)) fm_r = mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))))))) key_lr elt_lr (mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))))))) key_l elt_l fm_ll fm_lrl) (mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))))))))) xvu xvv fm_lrr fm_r);
48.79/29.29	
48.79/29.29	mkBalBranch6MkBalBranch0 xvu xvv xvw xvx fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr) = mkBalBranch6MkBalBranch02 xvu xvv xvw xvx fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr);
48.79/29.29	
48.79/29.29	mkBalBranch6MkBalBranch00 xvu xvv xvw xvx fm_L fm_R vvx vvy vvz fm_rl fm_rr True = mkBalBranch6Double_L xvu xvv xvw xvx fm_L fm_R;
48.79/29.29	
48.79/29.29	mkBalBranch6MkBalBranch01 xvu xvv xvw xvx fm_L fm_R vvx vvy vvz fm_rl fm_rr True = mkBalBranch6Single_L xvu xvv xvw xvx fm_L fm_R;
48.79/29.29	mkBalBranch6MkBalBranch01 xvu xvv xvw xvx fm_L fm_R vvx vvy vvz fm_rl fm_rr False = mkBalBranch6MkBalBranch00 xvu xvv xvw xvx fm_L fm_R vvx vvy vvz fm_rl fm_rr otherwise;
48.79/29.29	
48.79/29.29	mkBalBranch6MkBalBranch02 xvu xvv xvw xvx fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr) = mkBalBranch6MkBalBranch01 xvu xvv xvw xvx fm_L fm_R vvx vvy vvz fm_rl fm_rr (sizeFM fm_rl < Pos (Succ (Succ Zero)) * sizeFM fm_rr);
48.79/29.29	
48.79/29.29	mkBalBranch6MkBalBranch1 xvu xvv xvw xvx fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr) = mkBalBranch6MkBalBranch12 xvu xvv xvw xvx fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr);
48.79/29.29	
48.79/29.29	mkBalBranch6MkBalBranch10 xvu xvv xvw xvx fm_L fm_R vuy vuz vvu fm_ll fm_lr True = mkBalBranch6Double_R xvu xvv xvw xvx fm_L fm_R;
48.79/29.29	
48.79/29.29	mkBalBranch6MkBalBranch11 xvu xvv xvw xvx fm_L fm_R vuy vuz vvu fm_ll fm_lr True = mkBalBranch6Single_R xvu xvv xvw xvx fm_L fm_R;
48.79/29.29	mkBalBranch6MkBalBranch11 xvu xvv xvw xvx fm_L fm_R vuy vuz vvu fm_ll fm_lr False = mkBalBranch6MkBalBranch10 xvu xvv xvw xvx fm_L fm_R vuy vuz vvu fm_ll fm_lr otherwise;
48.79/29.29	
48.79/29.29	mkBalBranch6MkBalBranch12 xvu xvv xvw xvx fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr) = mkBalBranch6MkBalBranch11 xvu xvv xvw xvx fm_L fm_R vuy vuz vvu fm_ll fm_lr (sizeFM fm_lr < Pos (Succ (Succ Zero)) * sizeFM fm_ll);
48.79/29.29	
48.79/29.29	mkBalBranch6MkBalBranch2 xvu xvv xvw xvx key elt fm_L fm_R True = mkBranch (Pos (Succ (Succ Zero))) key elt fm_L fm_R;
48.79/29.29	
48.79/29.29	mkBalBranch6MkBalBranch3 xvu xvv xvw xvx key elt fm_L fm_R True = mkBalBranch6MkBalBranch1 xvu xvv xvw xvx fm_L fm_R fm_L;
48.79/29.29	mkBalBranch6MkBalBranch3 xvu xvv xvw xvx key elt fm_L fm_R False = mkBalBranch6MkBalBranch2 xvu xvv xvw xvx key elt fm_L fm_R otherwise;
48.79/29.29	
48.79/29.29	mkBalBranch6MkBalBranch4 xvu xvv xvw xvx key elt fm_L fm_R True = mkBalBranch6MkBalBranch0 xvu xvv xvw xvx fm_L fm_R fm_R;
48.79/29.29	mkBalBranch6MkBalBranch4 xvu xvv xvw xvx key elt fm_L fm_R False = mkBalBranch6MkBalBranch3 xvu xvv xvw xvx key elt fm_L fm_R (mkBalBranch6Size_l xvu xvv xvw xvx > sIZE_RATIO * mkBalBranch6Size_r xvu xvv xvw xvx);
48.79/29.29	
48.79/29.29	mkBalBranch6MkBalBranch5 xvu xvv xvw xvx key elt fm_L fm_R True = mkBranch (Pos (Succ Zero)) key elt fm_L fm_R;
48.79/29.29	mkBalBranch6MkBalBranch5 xvu xvv xvw xvx key elt fm_L fm_R False = mkBalBranch6MkBalBranch4 xvu xvv xvw xvx key elt fm_L fm_R (mkBalBranch6Size_r xvu xvv xvw xvx > sIZE_RATIO * mkBalBranch6Size_l xvu xvv xvw xvx);
48.79/29.29	
48.79/29.29	mkBalBranch6Single_L xvu xvv xvw xvx fm_l (Branch key_r elt_r vwu fm_rl fm_rr) = mkBranch (Pos (Succ (Succ (Succ Zero)))) key_r elt_r (mkBranch (Pos (Succ (Succ (Succ (Succ Zero))))) xvu xvv fm_l fm_rl) fm_rr;
48.79/29.29	
48.79/29.29	mkBalBranch6Single_R xvu xvv xvw xvx (Branch key_l elt_l vuv fm_ll fm_lr) fm_r = mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))))) key_l elt_l fm_ll (mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))))) xvu xvv fm_lr fm_r);
48.79/29.29	
48.79/29.29	mkBalBranch6Size_l xvu xvv xvw xvx = sizeFM xvx;
48.79/29.29	
48.79/29.29	mkBalBranch6Size_r xvu xvv xvw xvx = sizeFM xvw;
48.79/29.29	
48.79/29.29	mkBranch :: Ord b => Int  ->  b  ->  a  ->  FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a;
48.79/29.29	mkBranch which key elt fm_l fm_r = mkBranchResult key elt fm_l fm_r;
48.79/29.29	
48.79/29.29	mkBranchBalance_ok xvy xvz xwu = True;
48.79/29.29	
48.79/29.29	mkBranchLeft_ok xvy xvz xwu = mkBranchLeft_ok0 xvy xvz xwu xvy xvz xvy;
48.79/29.29	
48.79/29.29	mkBranchLeft_ok0 xvy xvz xwu fm_l key EmptyFM = True;
48.79/29.29	mkBranchLeft_ok0 xvy xvz xwu fm_l key (Branch left_key yv yw yx yy) = mkBranchLeft_ok0Biggest_left_key fm_l < key;
48.79/29.29	
48.79/29.29	mkBranchLeft_ok0Biggest_left_key yux = fst (findMax yux);
48.79/29.29	
48.79/29.29	mkBranchLeft_size xvy xvz xwu = sizeFM xvy;
48.79/29.29	
48.79/29.29	mkBranchResult xwv xww xwx xwy = Branch xwv xww (mkBranchUnbox xwx xwv xwy (Pos (Succ Zero) + mkBranchLeft_size xwx xwv xwy + mkBranchRight_size xwx xwv xwy)) xwx xwy;
48.79/29.29	
48.79/29.29	mkBranchRight_ok xvy xvz xwu = mkBranchRight_ok0 xvy xvz xwu xwu xvz xwu;
48.79/29.29	
48.79/29.29	mkBranchRight_ok0 xvy xvz xwu fm_r key EmptyFM = True;
48.79/29.29	mkBranchRight_ok0 xvy xvz xwu fm_r key (Branch right_key yz zu zv zw) = key < mkBranchRight_ok0Smallest_right_key fm_r;
48.79/29.29	
48.79/29.29	mkBranchRight_ok0Smallest_right_key yuy = fst (findMin yuy);
48.79/29.29	
48.79/29.29	mkBranchRight_size xvy xvz xwu = sizeFM xwu;
48.79/29.29	
48.79/29.29	mkBranchUnbox :: Ord a =>  ->  (FiniteMap a b) ( ->  a ( ->  (FiniteMap a b) (Int  ->  Int)));
48.79/29.29	mkBranchUnbox xvy xvz xwu x = x;
48.79/29.29	
48.79/29.29	mkVBalBranch :: Ord b => b  ->  a  ->  FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a;
48.79/29.29	mkVBalBranch key elt EmptyFM fm_r = mkVBalBranch5 key elt EmptyFM fm_r;
48.79/29.29	mkVBalBranch key elt fm_l EmptyFM = mkVBalBranch4 key elt fm_l EmptyFM;
48.79/29.29	mkVBalBranch key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy) = mkVBalBranch3 key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy);
48.79/29.29	
48.79/29.29	mkVBalBranch3 key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy) = mkVBalBranch3MkVBalBranch2 xu xv xw xx xy wu wv ww wx wy key elt wu wv ww wx wy xu xv xw xx xy (sIZE_RATIO * mkVBalBranch3Size_l xu xv xw xx xy wu wv ww wx wy < mkVBalBranch3Size_r xu xv xw xx xy wu wv ww wx wy);
48.79/29.29	
48.79/29.29	mkVBalBranch3MkVBalBranch0 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy True = mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))))))))) key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy);
48.79/29.29	
48.79/29.29	mkVBalBranch3MkVBalBranch1 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy True = mkBalBranch wu wv wx (mkVBalBranch key elt wy (Branch xu xv xw xx xy));
48.79/29.29	mkVBalBranch3MkVBalBranch1 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy False = mkVBalBranch3MkVBalBranch0 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy otherwise;
48.79/29.29	
48.79/29.29	mkVBalBranch3MkVBalBranch2 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy True = mkBalBranch xu xv (mkVBalBranch key elt (Branch wu wv ww wx wy) xx) xy;
48.79/29.29	mkVBalBranch3MkVBalBranch2 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy False = mkVBalBranch3MkVBalBranch1 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy (sIZE_RATIO * mkVBalBranch3Size_r xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw < mkVBalBranch3Size_l xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw);
48.79/29.29	
48.79/29.29	mkVBalBranch3Size_l xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw = sizeFM (Branch xzy xzz yuu yuv yuw);
48.79/29.29	
48.79/29.29	mkVBalBranch3Size_r xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw = sizeFM (Branch xyz xzu xzv xzw xzx);
48.79/29.29	
48.79/29.29	mkVBalBranch4 key elt fm_l EmptyFM = addToFM fm_l key elt;
48.79/29.29	mkVBalBranch4 wwv www wwx wwy = mkVBalBranch3 wwv www wwx wwy;
48.79/29.29	
48.79/29.29	mkVBalBranch5 key elt EmptyFM fm_r = addToFM fm_r key elt;
48.79/29.29	mkVBalBranch5 wxu wxv wxw wxx = mkVBalBranch4 wxu wxv wxw wxx;
48.79/29.29	
48.79/29.29	sIZE_RATIO :: Int;
48.79/29.29	sIZE_RATIO = Pos (Succ (Succ (Succ (Succ (Succ Zero)))));
48.79/29.29	
48.79/29.29	sizeFM :: FiniteMap a b  ->  Int;
48.79/29.29	sizeFM EmptyFM = Pos Zero;
48.79/29.29	sizeFM (Branch vyz vzu size vzv vzw) = size;
48.79/29.29	
48.79/29.29	unitFM :: a  ->  b  ->  FiniteMap a b;
48.79/29.29	unitFM key elt = Branch key elt (Pos (Succ Zero)) emptyFM emptyFM;
48.79/29.29	
48.79/29.29	}
48.79/29.29	module Maybe where {
48.79/29.29	import qualified FiniteMap;
48.79/29.29	import qualified Main;
48.79/29.29	import qualified Prelude;
48.79/29.29	}
48.79/29.29	module Main where {
48.79/29.29	import qualified FiniteMap;
48.79/29.29	import qualified Maybe;
48.79/29.29	import qualified Prelude;
48.79/29.29	}
48.79/29.29	
48.79/29.29	----------------------------------------
48.79/29.29	
48.79/29.29	(13) Narrow (SOUND)
48.79/29.29	Haskell To QDPs
48.79/29.29	
48.79/29.29	digraph dp_graph {
48.79/29.29	node [outthreshold=100, inthreshold=100];1[label="FiniteMap.filterFM",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
48.79/29.29	3[label="FiniteMap.filterFM yuz3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
48.79/29.29	4[label="FiniteMap.filterFM yuz3 yuz4",fontsize=16,color="burlywood",shape="triangle"];43032[label="yuz4/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];4 -> 43032[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43032 -> 5[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	43033[label="yuz4/FiniteMap.Branch yuz40 yuz41 yuz42 yuz43 yuz44",fontsize=10,color="white",style="solid",shape="box"];4 -> 43033[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43033 -> 6[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	5[label="FiniteMap.filterFM yuz3 FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];5 -> 7[label="",style="solid", color="black", weight=3];
48.79/29.29	6[label="FiniteMap.filterFM yuz3 (FiniteMap.Branch yuz40 yuz41 yuz42 yuz43 yuz44)",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3];
48.79/29.29	7[label="FiniteMap.filterFM3 yuz3 FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];7 -> 9[label="",style="solid", color="black", weight=3];
48.79/29.29	8[label="FiniteMap.filterFM2 yuz3 (FiniteMap.Branch yuz40 yuz41 yuz42 yuz43 yuz44)",fontsize=16,color="black",shape="box"];8 -> 10[label="",style="solid", color="black", weight=3];
48.79/29.29	9[label="FiniteMap.emptyFM",fontsize=16,color="black",shape="triangle"];9 -> 11[label="",style="solid", color="black", weight=3];
48.79/29.29	10 -> 12[label="",style="dashed", color="red", weight=0];
48.79/29.29	10[label="FiniteMap.filterFM1 yuz3 yuz40 yuz41 yuz42 yuz43 yuz44 (yuz3 yuz40 yuz41)",fontsize=16,color="magenta"];10 -> 13[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	11[label="FiniteMap.EmptyFM",fontsize=16,color="green",shape="box"];13[label="yuz3 yuz40 yuz41",fontsize=16,color="green",shape="box"];13 -> 18[label="",style="dashed", color="green", weight=3];
48.79/29.29	13 -> 19[label="",style="dashed", color="green", weight=3];
48.79/29.29	12[label="FiniteMap.filterFM1 yuz3 yuz40 yuz41 yuz42 yuz43 yuz44 yuz5",fontsize=16,color="burlywood",shape="triangle"];43034[label="yuz5/False",fontsize=10,color="white",style="solid",shape="box"];12 -> 43034[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43034 -> 16[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	43035[label="yuz5/True",fontsize=10,color="white",style="solid",shape="box"];12 -> 43035[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43035 -> 17[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	18[label="yuz40",fontsize=16,color="green",shape="box"];19[label="yuz41",fontsize=16,color="green",shape="box"];16[label="FiniteMap.filterFM1 yuz3 yuz40 yuz41 yuz42 yuz43 yuz44 False",fontsize=16,color="black",shape="box"];16 -> 20[label="",style="solid", color="black", weight=3];
48.79/29.29	17[label="FiniteMap.filterFM1 yuz3 yuz40 yuz41 yuz42 yuz43 yuz44 True",fontsize=16,color="black",shape="box"];17 -> 21[label="",style="solid", color="black", weight=3];
48.79/29.29	20[label="FiniteMap.filterFM0 yuz3 yuz40 yuz41 yuz42 yuz43 yuz44 otherwise",fontsize=16,color="black",shape="box"];20 -> 22[label="",style="solid", color="black", weight=3];
48.79/29.29	21 -> 23[label="",style="dashed", color="red", weight=0];
48.79/29.29	21[label="FiniteMap.mkVBalBranch yuz40 yuz41 (FiniteMap.filterFM yuz3 yuz43) (FiniteMap.filterFM yuz3 yuz44)",fontsize=16,color="magenta"];21 -> 24[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	21 -> 25[label="",style="dashed", color="magenta", weight=3];
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48.79/29.29	24 -> 4[label="",style="dashed", color="red", weight=0];
48.79/29.29	24[label="FiniteMap.filterFM yuz3 yuz43",fontsize=16,color="magenta"];24 -> 27[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	25 -> 4[label="",style="dashed", color="red", weight=0];
48.79/29.29	25[label="FiniteMap.filterFM yuz3 yuz44",fontsize=16,color="magenta"];25 -> 28[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	23[label="FiniteMap.mkVBalBranch yuz40 yuz41 yuz7 yuz6",fontsize=16,color="burlywood",shape="triangle"];43036[label="yuz7/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];23 -> 43036[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43036 -> 29[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	43037[label="yuz7/FiniteMap.Branch yuz70 yuz71 yuz72 yuz73 yuz74",fontsize=10,color="white",style="solid",shape="box"];23 -> 43037[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43037 -> 30[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	26 -> 31[label="",style="dashed", color="red", weight=0];
48.79/29.29	26[label="FiniteMap.glueVBal (FiniteMap.filterFM yuz3 yuz43) (FiniteMap.filterFM yuz3 yuz44)",fontsize=16,color="magenta"];26 -> 32[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	26 -> 33[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	27[label="yuz43",fontsize=16,color="green",shape="box"];28[label="yuz44",fontsize=16,color="green",shape="box"];29[label="FiniteMap.mkVBalBranch yuz40 yuz41 FiniteMap.EmptyFM yuz6",fontsize=16,color="black",shape="box"];29 -> 34[label="",style="solid", color="black", weight=3];
48.79/29.29	30[label="FiniteMap.mkVBalBranch yuz40 yuz41 (FiniteMap.Branch yuz70 yuz71 yuz72 yuz73 yuz74) yuz6",fontsize=16,color="burlywood",shape="box"];43038[label="yuz6/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];30 -> 43038[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43038 -> 35[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	43039[label="yuz6/FiniteMap.Branch yuz60 yuz61 yuz62 yuz63 yuz64",fontsize=10,color="white",style="solid",shape="box"];30 -> 43039[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43039 -> 36[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	32 -> 4[label="",style="dashed", color="red", weight=0];
48.79/29.29	32[label="FiniteMap.filterFM yuz3 yuz44",fontsize=16,color="magenta"];32 -> 37[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	33 -> 4[label="",style="dashed", color="red", weight=0];
48.79/29.29	33[label="FiniteMap.filterFM yuz3 yuz43",fontsize=16,color="magenta"];33 -> 38[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	31[label="FiniteMap.glueVBal yuz9 yuz8",fontsize=16,color="burlywood",shape="triangle"];43040[label="yuz9/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];31 -> 43040[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43040 -> 39[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	43041[label="yuz9/FiniteMap.Branch yuz90 yuz91 yuz92 yuz93 yuz94",fontsize=10,color="white",style="solid",shape="box"];31 -> 43041[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43041 -> 40[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	34[label="FiniteMap.mkVBalBranch5 yuz40 yuz41 FiniteMap.EmptyFM yuz6",fontsize=16,color="black",shape="box"];34 -> 41[label="",style="solid", color="black", weight=3];
48.79/29.29	35[label="FiniteMap.mkVBalBranch yuz40 yuz41 (FiniteMap.Branch yuz70 yuz71 yuz72 yuz73 yuz74) FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];35 -> 42[label="",style="solid", color="black", weight=3];
48.79/29.29	36[label="FiniteMap.mkVBalBranch yuz40 yuz41 (FiniteMap.Branch yuz70 yuz71 yuz72 yuz73 yuz74) (FiniteMap.Branch yuz60 yuz61 yuz62 yuz63 yuz64)",fontsize=16,color="black",shape="box"];36 -> 43[label="",style="solid", color="black", weight=3];
48.79/29.29	37[label="yuz44",fontsize=16,color="green",shape="box"];38[label="yuz43",fontsize=16,color="green",shape="box"];39[label="FiniteMap.glueVBal FiniteMap.EmptyFM yuz8",fontsize=16,color="black",shape="box"];39 -> 44[label="",style="solid", color="black", weight=3];
48.79/29.29	40[label="FiniteMap.glueVBal (FiniteMap.Branch yuz90 yuz91 yuz92 yuz93 yuz94) yuz8",fontsize=16,color="burlywood",shape="box"];43042[label="yuz8/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];40 -> 43042[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43042 -> 45[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	43043[label="yuz8/FiniteMap.Branch yuz80 yuz81 yuz82 yuz83 yuz84",fontsize=10,color="white",style="solid",shape="box"];40 -> 43043[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43043 -> 46[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	41[label="FiniteMap.addToFM yuz6 yuz40 yuz41",fontsize=16,color="black",shape="triangle"];41 -> 47[label="",style="solid", color="black", weight=3];
48.79/29.29	42[label="FiniteMap.mkVBalBranch4 yuz40 yuz41 (FiniteMap.Branch yuz70 yuz71 yuz72 yuz73 yuz74) FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];42 -> 48[label="",style="solid", color="black", weight=3];
48.79/29.29	43[label="FiniteMap.mkVBalBranch3 yuz40 yuz41 (FiniteMap.Branch yuz70 yuz71 yuz72 yuz73 yuz74) (FiniteMap.Branch yuz60 yuz61 yuz62 yuz63 yuz64)",fontsize=16,color="black",shape="box"];43 -> 49[label="",style="solid", color="black", weight=3];
48.79/29.29	44[label="FiniteMap.glueVBal5 FiniteMap.EmptyFM yuz8",fontsize=16,color="black",shape="box"];44 -> 50[label="",style="solid", color="black", weight=3];
48.79/29.29	45[label="FiniteMap.glueVBal (FiniteMap.Branch yuz90 yuz91 yuz92 yuz93 yuz94) FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];45 -> 51[label="",style="solid", color="black", weight=3];
48.79/29.29	46[label="FiniteMap.glueVBal (FiniteMap.Branch yuz90 yuz91 yuz92 yuz93 yuz94) (FiniteMap.Branch yuz80 yuz81 yuz82 yuz83 yuz84)",fontsize=16,color="black",shape="box"];46 -> 52[label="",style="solid", color="black", weight=3];
48.79/29.29	47[label="FiniteMap.addToFM_C FiniteMap.addToFM0 yuz6 yuz40 yuz41",fontsize=16,color="burlywood",shape="triangle"];43044[label="yuz6/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];47 -> 43044[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43044 -> 53[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	43045[label="yuz6/FiniteMap.Branch yuz60 yuz61 yuz62 yuz63 yuz64",fontsize=10,color="white",style="solid",shape="box"];47 -> 43045[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43045 -> 54[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	48 -> 41[label="",style="dashed", color="red", weight=0];
48.79/29.29	48[label="FiniteMap.addToFM (FiniteMap.Branch yuz70 yuz71 yuz72 yuz73 yuz74) yuz40 yuz41",fontsize=16,color="magenta"];48 -> 55[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	49 -> 18387[label="",style="dashed", color="red", weight=0];
48.79/29.29	49[label="FiniteMap.mkVBalBranch3MkVBalBranch2 yuz60 yuz61 yuz62 yuz63 yuz64 yuz70 yuz71 yuz72 yuz73 yuz74 yuz40 yuz41 yuz70 yuz71 yuz72 yuz73 yuz74 yuz60 yuz61 yuz62 yuz63 yuz64 (FiniteMap.sIZE_RATIO * FiniteMap.mkVBalBranch3Size_l yuz60 yuz61 yuz62 yuz63 yuz64 yuz70 yuz71 yuz72 yuz73 yuz74 < FiniteMap.mkVBalBranch3Size_r yuz60 yuz61 yuz62 yuz63 yuz64 yuz70 yuz71 yuz72 yuz73 yuz74)",fontsize=16,color="magenta"];49 -> 18388[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	49 -> 18389[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	49 -> 18390[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	49 -> 18391[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	49 -> 18392[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	49 -> 18393[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	49 -> 18394[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	49 -> 18395[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	49 -> 18396[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	49 -> 18397[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	49 -> 18398[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	49 -> 18399[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	49 -> 18400[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	50[label="yuz8",fontsize=16,color="green",shape="box"];51[label="FiniteMap.glueVBal4 (FiniteMap.Branch yuz90 yuz91 yuz92 yuz93 yuz94) FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];51 -> 57[label="",style="solid", color="black", weight=3];
48.79/29.29	52[label="FiniteMap.glueVBal3 (FiniteMap.Branch yuz90 yuz91 yuz92 yuz93 yuz94) (FiniteMap.Branch yuz80 yuz81 yuz82 yuz83 yuz84)",fontsize=16,color="black",shape="box"];52 -> 58[label="",style="solid", color="black", weight=3];
48.79/29.29	53[label="FiniteMap.addToFM_C FiniteMap.addToFM0 FiniteMap.EmptyFM yuz40 yuz41",fontsize=16,color="black",shape="box"];53 -> 59[label="",style="solid", color="black", weight=3];
48.79/29.29	54[label="FiniteMap.addToFM_C FiniteMap.addToFM0 (FiniteMap.Branch yuz60 yuz61 yuz62 yuz63 yuz64) yuz40 yuz41",fontsize=16,color="black",shape="box"];54 -> 60[label="",style="solid", color="black", weight=3];
48.79/29.29	55[label="FiniteMap.Branch yuz70 yuz71 yuz72 yuz73 yuz74",fontsize=16,color="green",shape="box"];18388[label="yuz74",fontsize=16,color="green",shape="box"];18389[label="yuz41",fontsize=16,color="green",shape="box"];18390[label="yuz63",fontsize=16,color="green",shape="box"];18391[label="yuz64",fontsize=16,color="green",shape="box"];18392[label="yuz60",fontsize=16,color="green",shape="box"];18393[label="yuz72",fontsize=16,color="green",shape="box"];18394 -> 14332[label="",style="dashed", color="red", weight=0];
48.79/29.29	18394[label="FiniteMap.sIZE_RATIO * FiniteMap.mkVBalBranch3Size_l yuz60 yuz61 yuz62 yuz63 yuz64 yuz70 yuz71 yuz72 yuz73 yuz74 < FiniteMap.mkVBalBranch3Size_r yuz60 yuz61 yuz62 yuz63 yuz64 yuz70 yuz71 yuz72 yuz73 yuz74",fontsize=16,color="magenta"];18394 -> 20185[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	18394 -> 20186[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	18395[label="yuz70",fontsize=16,color="green",shape="box"];18396[label="yuz61",fontsize=16,color="green",shape="box"];18397[label="yuz62",fontsize=16,color="green",shape="box"];18398[label="yuz71",fontsize=16,color="green",shape="box"];18399[label="yuz73",fontsize=16,color="green",shape="box"];18400[label="yuz40",fontsize=16,color="green",shape="box"];18387[label="FiniteMap.mkVBalBranch3MkVBalBranch2 yuz140 yuz141 yuz142 yuz143 yuz144 yuz200 yuz201 yuz202 yuz203 yuz204 yuz21 yuz22 yuz200 yuz201 yuz202 yuz203 yuz204 yuz140 yuz141 yuz142 yuz143 yuz144 yuz1306",fontsize=16,color="burlywood",shape="triangle"];43046[label="yuz1306/False",fontsize=10,color="white",style="solid",shape="box"];18387 -> 43046[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43046 -> 20187[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	43047[label="yuz1306/True",fontsize=10,color="white",style="solid",shape="box"];18387 -> 43047[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43047 -> 20188[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	57[label="FiniteMap.Branch yuz90 yuz91 yuz92 yuz93 yuz94",fontsize=16,color="green",shape="box"];58 -> 40540[label="",style="dashed", color="red", weight=0];
48.79/29.29	58[label="FiniteMap.glueVBal3GlueVBal2 yuz90 yuz91 yuz92 yuz93 yuz94 yuz80 yuz81 yuz82 yuz83 yuz84 yuz90 yuz91 yuz92 yuz93 yuz94 yuz80 yuz81 yuz82 yuz83 yuz84 (FiniteMap.sIZE_RATIO * FiniteMap.glueVBal3Size_l yuz90 yuz91 yuz92 yuz93 yuz94 yuz80 yuz81 yuz82 yuz83 yuz84 < FiniteMap.glueVBal3Size_r yuz90 yuz91 yuz92 yuz93 yuz94 yuz80 yuz81 yuz82 yuz83 yuz84)",fontsize=16,color="magenta"];58 -> 40541[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	58 -> 40542[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	58 -> 40543[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	58 -> 40544[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	58 -> 40545[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	58 -> 40546[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	58 -> 40547[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	58 -> 40548[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	58 -> 40549[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	58 -> 40550[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	58 -> 40551[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	59[label="FiniteMap.addToFM_C4 FiniteMap.addToFM0 FiniteMap.EmptyFM yuz40 yuz41",fontsize=16,color="black",shape="box"];59 -> 63[label="",style="solid", color="black", weight=3];
48.79/29.29	60[label="FiniteMap.addToFM_C3 FiniteMap.addToFM0 (FiniteMap.Branch yuz60 yuz61 yuz62 yuz63 yuz64) yuz40 yuz41",fontsize=16,color="black",shape="box"];60 -> 64[label="",style="solid", color="black", weight=3];
48.79/29.29	20185[label="FiniteMap.mkVBalBranch3Size_r yuz60 yuz61 yuz62 yuz63 yuz64 yuz70 yuz71 yuz72 yuz73 yuz74",fontsize=16,color="black",shape="box"];20185 -> 20477[label="",style="solid", color="black", weight=3];
48.79/29.29	20186 -> 21005[label="",style="dashed", color="red", weight=0];
48.79/29.29	20186[label="FiniteMap.sIZE_RATIO * FiniteMap.mkVBalBranch3Size_l yuz60 yuz61 yuz62 yuz63 yuz64 yuz70 yuz71 yuz72 yuz73 yuz74",fontsize=16,color="magenta"];20186 -> 21006[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	14332[label="yuz21 < yuz16",fontsize=16,color="black",shape="triangle"];14332 -> 15188[label="",style="solid", color="black", weight=3];
48.79/29.29	20187[label="FiniteMap.mkVBalBranch3MkVBalBranch2 yuz140 yuz141 yuz142 yuz143 yuz144 yuz200 yuz201 yuz202 yuz203 yuz204 yuz21 yuz22 yuz200 yuz201 yuz202 yuz203 yuz204 yuz140 yuz141 yuz142 yuz143 yuz144 False",fontsize=16,color="black",shape="box"];20187 -> 20479[label="",style="solid", color="black", weight=3];
48.79/29.29	20188[label="FiniteMap.mkVBalBranch3MkVBalBranch2 yuz140 yuz141 yuz142 yuz143 yuz144 yuz200 yuz201 yuz202 yuz203 yuz204 yuz21 yuz22 yuz200 yuz201 yuz202 yuz203 yuz204 yuz140 yuz141 yuz142 yuz143 yuz144 True",fontsize=16,color="black",shape="box"];20188 -> 20480[label="",style="solid", color="black", weight=3];
48.79/29.29	40541[label="yuz92",fontsize=16,color="green",shape="box"];40542[label="yuz80",fontsize=16,color="green",shape="box"];40543[label="yuz83",fontsize=16,color="green",shape="box"];40544 -> 14332[label="",style="dashed", color="red", weight=0];
48.79/29.29	40544[label="FiniteMap.sIZE_RATIO * FiniteMap.glueVBal3Size_l yuz90 yuz91 yuz92 yuz93 yuz94 yuz80 yuz81 yuz82 yuz83 yuz84 < FiniteMap.glueVBal3Size_r yuz90 yuz91 yuz92 yuz93 yuz94 yuz80 yuz81 yuz82 yuz83 yuz84",fontsize=16,color="magenta"];40544 -> 41866[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	40544 -> 41867[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	40545[label="yuz91",fontsize=16,color="green",shape="box"];40546[label="yuz84",fontsize=16,color="green",shape="box"];40547[label="yuz93",fontsize=16,color="green",shape="box"];40548[label="yuz81",fontsize=16,color="green",shape="box"];40549[label="yuz94",fontsize=16,color="green",shape="box"];40550[label="yuz82",fontsize=16,color="green",shape="box"];40551[label="yuz90",fontsize=16,color="green",shape="box"];40540[label="FiniteMap.glueVBal3GlueVBal2 yuz300 yuz301 yuz302 yuz303 yuz304 yuz340 yuz341 yuz342 yuz343 yuz344 yuz300 yuz301 yuz302 yuz303 yuz304 yuz340 yuz341 yuz342 yuz343 yuz344 yuz1476",fontsize=16,color="burlywood",shape="triangle"];43048[label="yuz1476/False",fontsize=10,color="white",style="solid",shape="box"];40540 -> 43048[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43048 -> 41868[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	43049[label="yuz1476/True",fontsize=10,color="white",style="solid",shape="box"];40540 -> 43049[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43049 -> 41869[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	63[label="FiniteMap.unitFM yuz40 yuz41",fontsize=16,color="black",shape="triangle"];63 -> 67[label="",style="solid", color="black", weight=3];
48.79/29.29	64 -> 21033[label="",style="dashed", color="red", weight=0];
48.79/29.29	64[label="FiniteMap.addToFM_C2 FiniteMap.addToFM0 yuz60 yuz61 yuz62 yuz63 yuz64 yuz40 yuz41 (yuz40 < yuz60)",fontsize=16,color="magenta"];64 -> 21034[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	64 -> 21035[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	64 -> 21036[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	64 -> 21037[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	64 -> 21038[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	64 -> 21039[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	64 -> 21040[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	64 -> 21041[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	20477[label="FiniteMap.sizeFM (FiniteMap.Branch yuz60 yuz61 yuz62 yuz63 yuz64)",fontsize=16,color="black",shape="triangle"];20477 -> 20493[label="",style="solid", color="black", weight=3];
48.79/29.29	21006 -> 20499[label="",style="dashed", color="red", weight=0];
48.79/29.29	21006[label="FiniteMap.mkVBalBranch3Size_l yuz60 yuz61 yuz62 yuz63 yuz64 yuz70 yuz71 yuz72 yuz73 yuz74",fontsize=16,color="magenta"];21006 -> 21012[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	21006 -> 21013[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	21006 -> 21014[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	21006 -> 21015[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	21006 -> 21016[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	21006 -> 21017[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	21006 -> 21018[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	21006 -> 21019[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	21006 -> 21020[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	21006 -> 21021[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	21005[label="FiniteMap.sIZE_RATIO * yuz1358",fontsize=16,color="black",shape="triangle"];21005 -> 21022[label="",style="solid", color="black", weight=3];
48.79/29.29	15188[label="compare yuz21 yuz16 == LT",fontsize=16,color="black",shape="triangle"];15188 -> 16043[label="",style="solid", color="black", weight=3];
48.79/29.29	20479 -> 20495[label="",style="dashed", color="red", weight=0];
48.79/29.29	20479[label="FiniteMap.mkVBalBranch3MkVBalBranch1 yuz140 yuz141 yuz142 yuz143 yuz144 yuz200 yuz201 yuz202 yuz203 yuz204 yuz21 yuz22 yuz200 yuz201 yuz202 yuz203 yuz204 yuz140 yuz141 yuz142 yuz143 yuz144 (FiniteMap.sIZE_RATIO * FiniteMap.mkVBalBranch3Size_r yuz140 yuz141 yuz142 yuz143 yuz144 yuz200 yuz201 yuz202 yuz203 yuz204 < FiniteMap.mkVBalBranch3Size_l yuz140 yuz141 yuz142 yuz143 yuz144 yuz200 yuz201 yuz202 yuz203 yuz204)",fontsize=16,color="magenta"];20479 -> 20496[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	20480 -> 42125[label="",style="dashed", color="red", weight=0];
48.79/29.29	20480[label="FiniteMap.mkBalBranch yuz140 yuz141 (FiniteMap.mkVBalBranch yuz21 yuz22 (FiniteMap.Branch yuz200 yuz201 yuz202 yuz203 yuz204) yuz143) yuz144",fontsize=16,color="magenta"];20480 -> 42126[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	20480 -> 42127[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	20480 -> 42128[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	20480 -> 42129[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	41866[label="FiniteMap.glueVBal3Size_r yuz90 yuz91 yuz92 yuz93 yuz94 yuz80 yuz81 yuz82 yuz83 yuz84",fontsize=16,color="black",shape="box"];41866 -> 41876[label="",style="solid", color="black", weight=3];
48.79/29.29	41867 -> 21005[label="",style="dashed", color="red", weight=0];
48.79/29.29	41867[label="FiniteMap.sIZE_RATIO * FiniteMap.glueVBal3Size_l yuz90 yuz91 yuz92 yuz93 yuz94 yuz80 yuz81 yuz82 yuz83 yuz84",fontsize=16,color="magenta"];41867 -> 41877[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	41868[label="FiniteMap.glueVBal3GlueVBal2 yuz300 yuz301 yuz302 yuz303 yuz304 yuz340 yuz341 yuz342 yuz343 yuz344 yuz300 yuz301 yuz302 yuz303 yuz304 yuz340 yuz341 yuz342 yuz343 yuz344 False",fontsize=16,color="black",shape="box"];41868 -> 41878[label="",style="solid", color="black", weight=3];
48.79/29.29	41869[label="FiniteMap.glueVBal3GlueVBal2 yuz300 yuz301 yuz302 yuz303 yuz304 yuz340 yuz341 yuz342 yuz343 yuz344 yuz300 yuz301 yuz302 yuz303 yuz304 yuz340 yuz341 yuz342 yuz343 yuz344 True",fontsize=16,color="black",shape="box"];41869 -> 41879[label="",style="solid", color="black", weight=3];
48.79/29.29	67[label="FiniteMap.Branch yuz40 yuz41 (Pos (Succ Zero)) FiniteMap.emptyFM FiniteMap.emptyFM",fontsize=16,color="green",shape="box"];67 -> 71[label="",style="dashed", color="green", weight=3];
48.79/29.29	67 -> 72[label="",style="dashed", color="green", weight=3];
48.79/29.29	21034[label="yuz41",fontsize=16,color="green",shape="box"];21035[label="yuz61",fontsize=16,color="green",shape="box"];21036[label="yuz62",fontsize=16,color="green",shape="box"];21037[label="yuz40 < yuz60",fontsize=16,color="black",shape="triangle"];21037 -> 39194[label="",style="solid", color="black", weight=3];
48.79/29.29	21038[label="yuz60",fontsize=16,color="green",shape="box"];21039[label="yuz63",fontsize=16,color="green",shape="box"];21040[label="yuz64",fontsize=16,color="green",shape="box"];21041[label="yuz40",fontsize=16,color="green",shape="box"];21033[label="FiniteMap.addToFM_C2 FiniteMap.addToFM0 yuz1368 yuz1369 yuz1370 yuz1371 yuz1372 yuz1373 yuz1374 yuz1375",fontsize=16,color="burlywood",shape="triangle"];43050[label="yuz1375/False",fontsize=10,color="white",style="solid",shape="box"];21033 -> 43050[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43050 -> 39195[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	43051[label="yuz1375/True",fontsize=10,color="white",style="solid",shape="box"];21033 -> 43051[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43051 -> 39196[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	20493[label="yuz62",fontsize=16,color="green",shape="box"];21012[label="yuz74",fontsize=16,color="green",shape="box"];21013[label="yuz63",fontsize=16,color="green",shape="box"];21014[label="yuz70",fontsize=16,color="green",shape="box"];21015[label="yuz61",fontsize=16,color="green",shape="box"];21016[label="yuz62",fontsize=16,color="green",shape="box"];21017[label="yuz64",fontsize=16,color="green",shape="box"];21018[label="yuz71",fontsize=16,color="green",shape="box"];21019[label="yuz60",fontsize=16,color="green",shape="box"];21020[label="yuz73",fontsize=16,color="green",shape="box"];21021[label="yuz72",fontsize=16,color="green",shape="box"];20499[label="FiniteMap.mkVBalBranch3Size_l yuz140 yuz141 yuz142 yuz143 yuz144 yuz200 yuz201 yuz202 yuz203 yuz204",fontsize=16,color="black",shape="triangle"];20499 -> 20525[label="",style="solid", color="black", weight=3];
48.79/29.29	21022[label="primMulInt FiniteMap.sIZE_RATIO yuz1358",fontsize=16,color="black",shape="triangle"];21022 -> 39197[label="",style="solid", color="black", weight=3];
48.79/29.29	16043[label="primCmpInt yuz21 yuz16 == LT",fontsize=16,color="burlywood",shape="triangle"];43052[label="yuz21/Pos yuz210",fontsize=10,color="white",style="solid",shape="box"];16043 -> 43052[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43052 -> 17031[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	43053[label="yuz21/Neg yuz210",fontsize=10,color="white",style="solid",shape="box"];16043 -> 43053[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43053 -> 17032[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	20496 -> 14332[label="",style="dashed", color="red", weight=0];
48.79/29.29	20496[label="FiniteMap.sIZE_RATIO * FiniteMap.mkVBalBranch3Size_r yuz140 yuz141 yuz142 yuz143 yuz144 yuz200 yuz201 yuz202 yuz203 yuz204 < FiniteMap.mkVBalBranch3Size_l yuz140 yuz141 yuz142 yuz143 yuz144 yuz200 yuz201 yuz202 yuz203 yuz204",fontsize=16,color="magenta"];20496 -> 20499[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	20496 -> 20500[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	20495[label="FiniteMap.mkVBalBranch3MkVBalBranch1 yuz140 yuz141 yuz142 yuz143 yuz144 yuz200 yuz201 yuz202 yuz203 yuz204 yuz21 yuz22 yuz200 yuz201 yuz202 yuz203 yuz204 yuz140 yuz141 yuz142 yuz143 yuz144 yuz1309",fontsize=16,color="burlywood",shape="triangle"];43054[label="yuz1309/False",fontsize=10,color="white",style="solid",shape="box"];20495 -> 43054[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43054 -> 20501[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	43055[label="yuz1309/True",fontsize=10,color="white",style="solid",shape="box"];20495 -> 43055[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43055 -> 20502[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	42126[label="yuz140",fontsize=16,color="green",shape="box"];42127[label="yuz144",fontsize=16,color="green",shape="box"];42128[label="yuz141",fontsize=16,color="green",shape="box"];42129[label="FiniteMap.mkVBalBranch yuz21 yuz22 (FiniteMap.Branch yuz200 yuz201 yuz202 yuz203 yuz204) yuz143",fontsize=16,color="burlywood",shape="box"];43056[label="yuz143/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];42129 -> 43056[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43056 -> 42156[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	43057[label="yuz143/FiniteMap.Branch yuz1430 yuz1431 yuz1432 yuz1433 yuz1434",fontsize=10,color="white",style="solid",shape="box"];42129 -> 43057[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43057 -> 42157[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	42125[label="FiniteMap.mkBalBranch yuz340 yuz341 yuz1499 yuz344",fontsize=16,color="black",shape="triangle"];42125 -> 42158[label="",style="solid", color="black", weight=3];
48.79/29.29	41876 -> 20741[label="",style="dashed", color="red", weight=0];
48.79/29.29	41876[label="FiniteMap.sizeFM (FiniteMap.Branch yuz80 yuz81 yuz82 yuz83 yuz84)",fontsize=16,color="magenta"];41876 -> 41884[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	41877[label="FiniteMap.glueVBal3Size_l yuz90 yuz91 yuz92 yuz93 yuz94 yuz80 yuz81 yuz82 yuz83 yuz84",fontsize=16,color="black",shape="box"];41877 -> 41885[label="",style="solid", color="black", weight=3];
48.79/29.29	41878 -> 41886[label="",style="dashed", color="red", weight=0];
48.79/29.29	41878[label="FiniteMap.glueVBal3GlueVBal1 yuz300 yuz301 yuz302 yuz303 yuz304 yuz340 yuz341 yuz342 yuz343 yuz344 yuz300 yuz301 yuz302 yuz303 yuz304 yuz340 yuz341 yuz342 yuz343 yuz344 (FiniteMap.sIZE_RATIO * FiniteMap.glueVBal3Size_r yuz300 yuz301 yuz302 yuz303 yuz304 yuz340 yuz341 yuz342 yuz343 yuz344 < FiniteMap.glueVBal3Size_l yuz300 yuz301 yuz302 yuz303 yuz304 yuz340 yuz341 yuz342 yuz343 yuz344)",fontsize=16,color="magenta"];41878 -> 41887[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	41879 -> 42125[label="",style="dashed", color="red", weight=0];
48.79/29.29	41879[label="FiniteMap.mkBalBranch yuz340 yuz341 (FiniteMap.glueVBal (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304) yuz343) yuz344",fontsize=16,color="magenta"];41879 -> 42130[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	71 -> 9[label="",style="dashed", color="red", weight=0];
48.79/29.29	71[label="FiniteMap.emptyFM",fontsize=16,color="magenta"];72 -> 9[label="",style="dashed", color="red", weight=0];
48.79/29.29	72[label="FiniteMap.emptyFM",fontsize=16,color="magenta"];39194[label="compare yuz40 yuz60 == LT",fontsize=16,color="black",shape="box"];39194 -> 39205[label="",style="solid", color="black", weight=3];
48.79/29.29	39195[label="FiniteMap.addToFM_C2 FiniteMap.addToFM0 yuz1368 yuz1369 yuz1370 yuz1371 yuz1372 yuz1373 yuz1374 False",fontsize=16,color="black",shape="box"];39195 -> 39206[label="",style="solid", color="black", weight=3];
48.79/29.29	39196[label="FiniteMap.addToFM_C2 FiniteMap.addToFM0 yuz1368 yuz1369 yuz1370 yuz1371 yuz1372 yuz1373 yuz1374 True",fontsize=16,color="black",shape="box"];39196 -> 39207[label="",style="solid", color="black", weight=3];
48.79/29.29	20525[label="FiniteMap.sizeFM (FiniteMap.Branch yuz200 yuz201 yuz202 yuz203 yuz204)",fontsize=16,color="black",shape="triangle"];20525 -> 20538[label="",style="solid", color="black", weight=3];
48.79/29.29	39197[label="primMulInt (Pos (Succ (Succ (Succ (Succ (Succ Zero)))))) yuz1358",fontsize=16,color="burlywood",shape="box"];43058[label="yuz1358/Pos yuz13580",fontsize=10,color="white",style="solid",shape="box"];39197 -> 43058[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43058 -> 39208[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	43059[label="yuz1358/Neg yuz13580",fontsize=10,color="white",style="solid",shape="box"];39197 -> 43059[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43059 -> 39209[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	17031[label="primCmpInt (Pos yuz210) yuz16 == LT",fontsize=16,color="burlywood",shape="box"];43060[label="yuz210/Succ yuz2100",fontsize=10,color="white",style="solid",shape="box"];17031 -> 43060[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43060 -> 17142[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	43061[label="yuz210/Zero",fontsize=10,color="white",style="solid",shape="box"];17031 -> 43061[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43061 -> 17143[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	17032[label="primCmpInt (Neg yuz210) yuz16 == LT",fontsize=16,color="burlywood",shape="box"];43062[label="yuz210/Succ yuz2100",fontsize=10,color="white",style="solid",shape="box"];17032 -> 43062[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43062 -> 17144[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	43063[label="yuz210/Zero",fontsize=10,color="white",style="solid",shape="box"];17032 -> 43063[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43063 -> 17145[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	20500 -> 21005[label="",style="dashed", color="red", weight=0];
48.79/29.29	20500[label="FiniteMap.sIZE_RATIO * FiniteMap.mkVBalBranch3Size_r yuz140 yuz141 yuz142 yuz143 yuz144 yuz200 yuz201 yuz202 yuz203 yuz204",fontsize=16,color="magenta"];20500 -> 21007[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	20501[label="FiniteMap.mkVBalBranch3MkVBalBranch1 yuz140 yuz141 yuz142 yuz143 yuz144 yuz200 yuz201 yuz202 yuz203 yuz204 yuz21 yuz22 yuz200 yuz201 yuz202 yuz203 yuz204 yuz140 yuz141 yuz142 yuz143 yuz144 False",fontsize=16,color="black",shape="box"];20501 -> 20527[label="",style="solid", color="black", weight=3];
48.79/29.29	20502[label="FiniteMap.mkVBalBranch3MkVBalBranch1 yuz140 yuz141 yuz142 yuz143 yuz144 yuz200 yuz201 yuz202 yuz203 yuz204 yuz21 yuz22 yuz200 yuz201 yuz202 yuz203 yuz204 yuz140 yuz141 yuz142 yuz143 yuz144 True",fontsize=16,color="black",shape="box"];20502 -> 20528[label="",style="solid", color="black", weight=3];
48.79/29.29	42156[label="FiniteMap.mkVBalBranch yuz21 yuz22 (FiniteMap.Branch yuz200 yuz201 yuz202 yuz203 yuz204) FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];42156 -> 42178[label="",style="solid", color="black", weight=3];
48.79/29.29	42157[label="FiniteMap.mkVBalBranch yuz21 yuz22 (FiniteMap.Branch yuz200 yuz201 yuz202 yuz203 yuz204) (FiniteMap.Branch yuz1430 yuz1431 yuz1432 yuz1433 yuz1434)",fontsize=16,color="black",shape="box"];42157 -> 42179[label="",style="solid", color="black", weight=3];
48.79/29.29	42158[label="FiniteMap.mkBalBranch6 yuz340 yuz341 yuz1499 yuz344",fontsize=16,color="black",shape="box"];42158 -> 42180[label="",style="solid", color="black", weight=3];
48.79/29.29	41884[label="FiniteMap.Branch yuz80 yuz81 yuz82 yuz83 yuz84",fontsize=16,color="green",shape="box"];20741[label="FiniteMap.sizeFM yuz29",fontsize=16,color="burlywood",shape="triangle"];43064[label="yuz29/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];20741 -> 43064[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43064 -> 20856[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	43065[label="yuz29/FiniteMap.Branch yuz290 yuz291 yuz292 yuz293 yuz294",fontsize=10,color="white",style="solid",shape="box"];20741 -> 43065[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43065 -> 20857[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	41885 -> 20741[label="",style="dashed", color="red", weight=0];
48.79/29.29	41885[label="FiniteMap.sizeFM (FiniteMap.Branch yuz90 yuz91 yuz92 yuz93 yuz94)",fontsize=16,color="magenta"];41885 -> 41889[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	41887 -> 14332[label="",style="dashed", color="red", weight=0];
48.79/29.29	41887[label="FiniteMap.sIZE_RATIO * FiniteMap.glueVBal3Size_r yuz300 yuz301 yuz302 yuz303 yuz304 yuz340 yuz341 yuz342 yuz343 yuz344 < FiniteMap.glueVBal3Size_l yuz300 yuz301 yuz302 yuz303 yuz304 yuz340 yuz341 yuz342 yuz343 yuz344",fontsize=16,color="magenta"];41887 -> 41890[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	41887 -> 41891[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	41886[label="FiniteMap.glueVBal3GlueVBal1 yuz300 yuz301 yuz302 yuz303 yuz304 yuz340 yuz341 yuz342 yuz343 yuz344 yuz300 yuz301 yuz302 yuz303 yuz304 yuz340 yuz341 yuz342 yuz343 yuz344 yuz1478",fontsize=16,color="burlywood",shape="triangle"];43066[label="yuz1478/False",fontsize=10,color="white",style="solid",shape="box"];41886 -> 43066[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43066 -> 41892[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	43067[label="yuz1478/True",fontsize=10,color="white",style="solid",shape="box"];41886 -> 43067[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43067 -> 41893[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	42130[label="FiniteMap.glueVBal (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304) yuz343",fontsize=16,color="burlywood",shape="box"];43068[label="yuz343/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];42130 -> 43068[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43068 -> 42159[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	43069[label="yuz343/FiniteMap.Branch yuz3430 yuz3431 yuz3432 yuz3433 yuz3434",fontsize=10,color="white",style="solid",shape="box"];42130 -> 43069[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43069 -> 42160[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	39205[label="primCmpFloat yuz40 yuz60 == LT",fontsize=16,color="burlywood",shape="box"];43070[label="yuz40/Float yuz400 yuz401",fontsize=10,color="white",style="solid",shape="box"];39205 -> 43070[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43070 -> 39212[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	39206 -> 39213[label="",style="dashed", color="red", weight=0];
48.79/29.29	39206[label="FiniteMap.addToFM_C1 FiniteMap.addToFM0 yuz1368 yuz1369 yuz1370 yuz1371 yuz1372 yuz1373 yuz1374 (yuz1373 > yuz1368)",fontsize=16,color="magenta"];39206 -> 39214[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	39206 -> 39215[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	39206 -> 39216[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	39206 -> 39217[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	39206 -> 39218[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	39206 -> 39219[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	39206 -> 39220[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	39206 -> 39221[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	39207 -> 42125[label="",style="dashed", color="red", weight=0];
48.79/29.29	39207[label="FiniteMap.mkBalBranch yuz1368 yuz1369 (FiniteMap.addToFM_C FiniteMap.addToFM0 yuz1371 yuz1373 yuz1374) yuz1372",fontsize=16,color="magenta"];39207 -> 42131[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	39207 -> 42132[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	39207 -> 42133[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	39207 -> 42134[label="",style="dashed", color="magenta", weight=3];
48.79/29.29	20538[label="yuz202",fontsize=16,color="green",shape="box"];39208[label="primMulInt (Pos (Succ (Succ (Succ (Succ (Succ Zero)))))) (Pos yuz13580)",fontsize=16,color="black",shape="box"];39208 -> 39223[label="",style="solid", color="black", weight=3];
48.79/29.29	39209[label="primMulInt (Pos (Succ (Succ (Succ (Succ (Succ Zero)))))) (Neg yuz13580)",fontsize=16,color="black",shape="box"];39209 -> 39224[label="",style="solid", color="black", weight=3];
48.79/29.29	17142[label="primCmpInt (Pos (Succ yuz2100)) yuz16 == LT",fontsize=16,color="burlywood",shape="box"];43071[label="yuz16/Pos yuz160",fontsize=10,color="white",style="solid",shape="box"];17142 -> 43071[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43071 -> 17167[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	43072[label="yuz16/Neg yuz160",fontsize=10,color="white",style="solid",shape="box"];17142 -> 43072[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43072 -> 17168[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	17143[label="primCmpInt (Pos Zero) yuz16 == LT",fontsize=16,color="burlywood",shape="box"];43073[label="yuz16/Pos yuz160",fontsize=10,color="white",style="solid",shape="box"];17143 -> 43073[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43073 -> 17169[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	43074[label="yuz16/Neg yuz160",fontsize=10,color="white",style="solid",shape="box"];17143 -> 43074[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43074 -> 17170[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	17144[label="primCmpInt (Neg (Succ yuz2100)) yuz16 == LT",fontsize=16,color="burlywood",shape="box"];43075[label="yuz16/Pos yuz160",fontsize=10,color="white",style="solid",shape="box"];17144 -> 43075[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43075 -> 17171[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	43076[label="yuz16/Neg yuz160",fontsize=10,color="white",style="solid",shape="box"];17144 -> 43076[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43076 -> 17172[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	17145[label="primCmpInt (Neg Zero) yuz16 == LT",fontsize=16,color="burlywood",shape="box"];43077[label="yuz16/Pos yuz160",fontsize=10,color="white",style="solid",shape="box"];17145 -> 43077[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43077 -> 17173[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	43078[label="yuz16/Neg yuz160",fontsize=10,color="white",style="solid",shape="box"];17145 -> 43078[label="",style="solid", color="burlywood", weight=9];
48.79/29.29	43078 -> 17174[label="",style="solid", color="burlywood", weight=3];
48.79/29.29	21007 -> 20562[label="",style="dashed", color="red", weight=0];
48.79/29.29	21007[label="FiniteMap.mkVBalBranch3Size_r yuz140 yuz141 yuz142 yuz143 yuz144 yuz200 yuz201 yuz202 yuz203 yuz204",fontsize=16,color="magenta"];20527[label="FiniteMap.mkVBalBranch3MkVBalBranch0 yuz140 yuz141 yuz142 yuz143 yuz144 yuz200 yuz201 yuz202 yuz203 yuz204 yuz21 yuz22 yuz200 yuz201 yuz202 yuz203 yuz204 yuz140 yuz141 yuz142 yuz143 yuz144 otherwise",fontsize=16,color="black",shape="box"];20527 -> 20540[label="",style="solid", color="black", weight=3];
48.79/29.30	20528 -> 42125[label="",style="dashed", color="red", weight=0];
48.79/29.30	20528[label="FiniteMap.mkBalBranch yuz200 yuz201 yuz203 (FiniteMap.mkVBalBranch yuz21 yuz22 yuz204 (FiniteMap.Branch yuz140 yuz141 yuz142 yuz143 yuz144))",fontsize=16,color="magenta"];20528 -> 42135[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	20528 -> 42136[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	20528 -> 42137[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	20528 -> 42138[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42178[label="FiniteMap.mkVBalBranch4 yuz21 yuz22 (FiniteMap.Branch yuz200 yuz201 yuz202 yuz203 yuz204) FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];42178 -> 42197[label="",style="solid", color="black", weight=3];
48.79/29.30	42179[label="FiniteMap.mkVBalBranch3 yuz21 yuz22 (FiniteMap.Branch yuz200 yuz201 yuz202 yuz203 yuz204) (FiniteMap.Branch yuz1430 yuz1431 yuz1432 yuz1433 yuz1434)",fontsize=16,color="black",shape="triangle"];42179 -> 42198[label="",style="solid", color="black", weight=3];
48.79/29.30	42180 -> 42199[label="",style="dashed", color="red", weight=0];
48.79/29.30	42180[label="FiniteMap.mkBalBranch6MkBalBranch5 yuz340 yuz341 yuz344 yuz1499 yuz340 yuz341 yuz1499 yuz344 (FiniteMap.mkBalBranch6Size_l yuz340 yuz341 yuz344 yuz1499 + FiniteMap.mkBalBranch6Size_r yuz340 yuz341 yuz344 yuz1499 < Pos (Succ (Succ Zero)))",fontsize=16,color="magenta"];42180 -> 42200[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	20856[label="FiniteMap.sizeFM FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];20856 -> 20911[label="",style="solid", color="black", weight=3];
48.79/29.30	20857[label="FiniteMap.sizeFM (FiniteMap.Branch yuz290 yuz291 yuz292 yuz293 yuz294)",fontsize=16,color="black",shape="box"];20857 -> 20912[label="",style="solid", color="black", weight=3];
48.79/29.30	41889[label="FiniteMap.Branch yuz90 yuz91 yuz92 yuz93 yuz94",fontsize=16,color="green",shape="box"];41890[label="FiniteMap.glueVBal3Size_l yuz300 yuz301 yuz302 yuz303 yuz304 yuz340 yuz341 yuz342 yuz343 yuz344",fontsize=16,color="black",shape="triangle"];41890 -> 41895[label="",style="solid", color="black", weight=3];
48.79/29.30	41891 -> 21005[label="",style="dashed", color="red", weight=0];
48.79/29.30	41891[label="FiniteMap.sIZE_RATIO * FiniteMap.glueVBal3Size_r yuz300 yuz301 yuz302 yuz303 yuz304 yuz340 yuz341 yuz342 yuz343 yuz344",fontsize=16,color="magenta"];41891 -> 41896[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	41892[label="FiniteMap.glueVBal3GlueVBal1 yuz300 yuz301 yuz302 yuz303 yuz304 yuz340 yuz341 yuz342 yuz343 yuz344 yuz300 yuz301 yuz302 yuz303 yuz304 yuz340 yuz341 yuz342 yuz343 yuz344 False",fontsize=16,color="black",shape="box"];41892 -> 41897[label="",style="solid", color="black", weight=3];
48.79/29.30	41893[label="FiniteMap.glueVBal3GlueVBal1 yuz300 yuz301 yuz302 yuz303 yuz304 yuz340 yuz341 yuz342 yuz343 yuz344 yuz300 yuz301 yuz302 yuz303 yuz304 yuz340 yuz341 yuz342 yuz343 yuz344 True",fontsize=16,color="black",shape="box"];41893 -> 41898[label="",style="solid", color="black", weight=3];
48.79/29.30	42159[label="FiniteMap.glueVBal (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304) FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];42159 -> 42181[label="",style="solid", color="black", weight=3];
48.79/29.30	42160[label="FiniteMap.glueVBal (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304) (FiniteMap.Branch yuz3430 yuz3431 yuz3432 yuz3433 yuz3434)",fontsize=16,color="black",shape="box"];42160 -> 42182[label="",style="solid", color="black", weight=3];
48.79/29.30	39212[label="primCmpFloat (Float yuz400 yuz401) yuz60 == LT",fontsize=16,color="burlywood",shape="box"];43079[label="yuz401/Pos yuz4010",fontsize=10,color="white",style="solid",shape="box"];39212 -> 43079[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43079 -> 39225[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43080[label="yuz401/Neg yuz4010",fontsize=10,color="white",style="solid",shape="box"];39212 -> 43080[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43080 -> 39226[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39214[label="yuz1368",fontsize=16,color="green",shape="box"];39215[label="yuz1372",fontsize=16,color="green",shape="box"];39216[label="yuz1373",fontsize=16,color="green",shape="box"];39217[label="yuz1371",fontsize=16,color="green",shape="box"];39218[label="yuz1373 > yuz1368",fontsize=16,color="blue",shape="box"];43081[label="> :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];39218 -> 43081[label="",style="solid", color="blue", weight=9];
48.79/29.30	43081 -> 39227[label="",style="solid", color="blue", weight=3];
48.79/29.30	43082[label="> :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];39218 -> 43082[label="",style="solid", color="blue", weight=9];
48.79/29.30	43082 -> 39228[label="",style="solid", color="blue", weight=3];
48.79/29.30	43083[label="> :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];39218 -> 43083[label="",style="solid", color="blue", weight=9];
48.79/29.30	43083 -> 39229[label="",style="solid", color="blue", weight=3];
48.79/29.30	43084[label="> :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];39218 -> 43084[label="",style="solid", color="blue", weight=9];
48.79/29.30	43084 -> 39230[label="",style="solid", color="blue", weight=3];
48.79/29.30	43085[label="> :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];39218 -> 43085[label="",style="solid", color="blue", weight=9];
48.79/29.30	43085 -> 39231[label="",style="solid", color="blue", weight=3];
48.79/29.30	43086[label="> :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];39218 -> 43086[label="",style="solid", color="blue", weight=9];
48.79/29.30	43086 -> 39232[label="",style="solid", color="blue", weight=3];
48.79/29.30	43087[label="> :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];39218 -> 43087[label="",style="solid", color="blue", weight=9];
48.79/29.30	43087 -> 39233[label="",style="solid", color="blue", weight=3];
48.79/29.30	43088[label="> :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];39218 -> 43088[label="",style="solid", color="blue", weight=9];
48.79/29.30	43088 -> 39234[label="",style="solid", color="blue", weight=3];
48.79/29.30	43089[label="> :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];39218 -> 43089[label="",style="solid", color="blue", weight=9];
48.79/29.30	43089 -> 39235[label="",style="solid", color="blue", weight=3];
48.79/29.30	43090[label="> :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];39218 -> 43090[label="",style="solid", color="blue", weight=9];
48.79/29.30	43090 -> 39236[label="",style="solid", color="blue", weight=3];
48.79/29.30	43091[label="> :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];39218 -> 43091[label="",style="solid", color="blue", weight=9];
48.79/29.30	43091 -> 39237[label="",style="solid", color="blue", weight=3];
48.79/29.30	43092[label="> :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];39218 -> 43092[label="",style="solid", color="blue", weight=9];
48.79/29.30	43092 -> 39238[label="",style="solid", color="blue", weight=3];
48.79/29.30	43093[label="> :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];39218 -> 43093[label="",style="solid", color="blue", weight=9];
48.79/29.30	43093 -> 39239[label="",style="solid", color="blue", weight=3];
48.79/29.30	43094[label="> :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];39218 -> 43094[label="",style="solid", color="blue", weight=9];
48.79/29.30	43094 -> 39240[label="",style="solid", color="blue", weight=3];
48.79/29.30	39219[label="yuz1369",fontsize=16,color="green",shape="box"];39220[label="yuz1374",fontsize=16,color="green",shape="box"];39221[label="yuz1370",fontsize=16,color="green",shape="box"];39213[label="FiniteMap.addToFM_C1 FiniteMap.addToFM0 yuz1387 yuz1388 yuz1389 yuz1390 yuz1391 yuz1392 yuz1393 yuz1394",fontsize=16,color="burlywood",shape="triangle"];43095[label="yuz1394/False",fontsize=10,color="white",style="solid",shape="box"];39213 -> 43095[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43095 -> 39241[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43096[label="yuz1394/True",fontsize=10,color="white",style="solid",shape="box"];39213 -> 43096[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43096 -> 39242[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	42131[label="yuz1368",fontsize=16,color="green",shape="box"];42132[label="yuz1372",fontsize=16,color="green",shape="box"];42133[label="yuz1369",fontsize=16,color="green",shape="box"];42134[label="FiniteMap.addToFM_C FiniteMap.addToFM0 yuz1371 yuz1373 yuz1374",fontsize=16,color="burlywood",shape="triangle"];43097[label="yuz1371/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];42134 -> 43097[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43097 -> 42161[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43098[label="yuz1371/FiniteMap.Branch yuz13710 yuz13711 yuz13712 yuz13713 yuz13714",fontsize=10,color="white",style="solid",shape="box"];42134 -> 43098[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43098 -> 42162[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39223[label="Pos (primMulNat (Succ (Succ (Succ (Succ (Succ Zero))))) yuz13580)",fontsize=16,color="green",shape="box"];39223 -> 39246[label="",style="dashed", color="green", weight=3];
48.79/29.30	39224[label="Neg (primMulNat (Succ (Succ (Succ (Succ (Succ Zero))))) yuz13580)",fontsize=16,color="green",shape="box"];39224 -> 39247[label="",style="dashed", color="green", weight=3];
48.79/29.30	17167[label="primCmpInt (Pos (Succ yuz2100)) (Pos yuz160) == LT",fontsize=16,color="black",shape="box"];17167 -> 17505[label="",style="solid", color="black", weight=3];
48.79/29.30	17168[label="primCmpInt (Pos (Succ yuz2100)) (Neg yuz160) == LT",fontsize=16,color="black",shape="box"];17168 -> 17506[label="",style="solid", color="black", weight=3];
48.79/29.30	17169[label="primCmpInt (Pos Zero) (Pos yuz160) == LT",fontsize=16,color="burlywood",shape="box"];43099[label="yuz160/Succ yuz1600",fontsize=10,color="white",style="solid",shape="box"];17169 -> 43099[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43099 -> 17507[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43100[label="yuz160/Zero",fontsize=10,color="white",style="solid",shape="box"];17169 -> 43100[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43100 -> 17508[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	17170[label="primCmpInt (Pos Zero) (Neg yuz160) == LT",fontsize=16,color="burlywood",shape="box"];43101[label="yuz160/Succ yuz1600",fontsize=10,color="white",style="solid",shape="box"];17170 -> 43101[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43101 -> 17509[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43102[label="yuz160/Zero",fontsize=10,color="white",style="solid",shape="box"];17170 -> 43102[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43102 -> 17510[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	17171[label="primCmpInt (Neg (Succ yuz2100)) (Pos yuz160) == LT",fontsize=16,color="black",shape="box"];17171 -> 17511[label="",style="solid", color="black", weight=3];
48.79/29.30	17172[label="primCmpInt (Neg (Succ yuz2100)) (Neg yuz160) == LT",fontsize=16,color="black",shape="box"];17172 -> 17512[label="",style="solid", color="black", weight=3];
48.79/29.30	17173[label="primCmpInt (Neg Zero) (Pos yuz160) == LT",fontsize=16,color="burlywood",shape="box"];43103[label="yuz160/Succ yuz1600",fontsize=10,color="white",style="solid",shape="box"];17173 -> 43103[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43103 -> 17513[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43104[label="yuz160/Zero",fontsize=10,color="white",style="solid",shape="box"];17173 -> 43104[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43104 -> 17514[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	17174[label="primCmpInt (Neg Zero) (Neg yuz160) == LT",fontsize=16,color="burlywood",shape="box"];43105[label="yuz160/Succ yuz1600",fontsize=10,color="white",style="solid",shape="box"];17174 -> 43105[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43105 -> 17515[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43106[label="yuz160/Zero",fontsize=10,color="white",style="solid",shape="box"];17174 -> 43106[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43106 -> 17516[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	20562[label="FiniteMap.mkVBalBranch3Size_r yuz140 yuz141 yuz142 yuz143 yuz144 yuz200 yuz201 yuz202 yuz203 yuz204",fontsize=16,color="black",shape="triangle"];20562 -> 20572[label="",style="solid", color="black", weight=3];
48.79/29.30	20540[label="FiniteMap.mkVBalBranch3MkVBalBranch0 yuz140 yuz141 yuz142 yuz143 yuz144 yuz200 yuz201 yuz202 yuz203 yuz204 yuz21 yuz22 yuz200 yuz201 yuz202 yuz203 yuz204 yuz140 yuz141 yuz142 yuz143 yuz144 True",fontsize=16,color="black",shape="box"];20540 -> 20563[label="",style="solid", color="black", weight=3];
48.79/29.30	42135[label="yuz200",fontsize=16,color="green",shape="box"];42136[label="FiniteMap.mkVBalBranch yuz21 yuz22 yuz204 (FiniteMap.Branch yuz140 yuz141 yuz142 yuz143 yuz144)",fontsize=16,color="burlywood",shape="box"];43107[label="yuz204/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];42136 -> 43107[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43107 -> 42163[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43108[label="yuz204/FiniteMap.Branch yuz2040 yuz2041 yuz2042 yuz2043 yuz2044",fontsize=10,color="white",style="solid",shape="box"];42136 -> 43108[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43108 -> 42164[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	42137[label="yuz201",fontsize=16,color="green",shape="box"];42138[label="yuz203",fontsize=16,color="green",shape="box"];42197[label="FiniteMap.addToFM (FiniteMap.Branch yuz200 yuz201 yuz202 yuz203 yuz204) yuz21 yuz22",fontsize=16,color="black",shape="triangle"];42197 -> 42201[label="",style="solid", color="black", weight=3];
48.79/29.30	42198 -> 18387[label="",style="dashed", color="red", weight=0];
48.79/29.30	42198[label="FiniteMap.mkVBalBranch3MkVBalBranch2 yuz1430 yuz1431 yuz1432 yuz1433 yuz1434 yuz200 yuz201 yuz202 yuz203 yuz204 yuz21 yuz22 yuz200 yuz201 yuz202 yuz203 yuz204 yuz1430 yuz1431 yuz1432 yuz1433 yuz1434 (FiniteMap.sIZE_RATIO * FiniteMap.mkVBalBranch3Size_l yuz1430 yuz1431 yuz1432 yuz1433 yuz1434 yuz200 yuz201 yuz202 yuz203 yuz204 < FiniteMap.mkVBalBranch3Size_r yuz1430 yuz1431 yuz1432 yuz1433 yuz1434 yuz200 yuz201 yuz202 yuz203 yuz204)",fontsize=16,color="magenta"];42198 -> 42202[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42198 -> 42203[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42198 -> 42204[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42198 -> 42205[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42198 -> 42206[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42198 -> 42207[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42200 -> 14332[label="",style="dashed", color="red", weight=0];
48.79/29.30	42200[label="FiniteMap.mkBalBranch6Size_l yuz340 yuz341 yuz344 yuz1499 + FiniteMap.mkBalBranch6Size_r yuz340 yuz341 yuz344 yuz1499 < Pos (Succ (Succ Zero))",fontsize=16,color="magenta"];42200 -> 42208[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42200 -> 42209[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42199[label="FiniteMap.mkBalBranch6MkBalBranch5 yuz340 yuz341 yuz344 yuz1499 yuz340 yuz341 yuz1499 yuz344 yuz1500",fontsize=16,color="burlywood",shape="triangle"];43109[label="yuz1500/False",fontsize=10,color="white",style="solid",shape="box"];42199 -> 43109[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43109 -> 42210[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43110[label="yuz1500/True",fontsize=10,color="white",style="solid",shape="box"];42199 -> 43110[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43110 -> 42211[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	20911[label="Pos Zero",fontsize=16,color="green",shape="box"];20912[label="yuz292",fontsize=16,color="green",shape="box"];41895 -> 20741[label="",style="dashed", color="red", weight=0];
48.79/29.30	41895[label="FiniteMap.sizeFM (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304)",fontsize=16,color="magenta"];41895 -> 41901[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	41896[label="FiniteMap.glueVBal3Size_r yuz300 yuz301 yuz302 yuz303 yuz304 yuz340 yuz341 yuz342 yuz343 yuz344",fontsize=16,color="black",shape="triangle"];41896 -> 41902[label="",style="solid", color="black", weight=3];
48.79/29.30	41897[label="FiniteMap.glueVBal3GlueVBal0 yuz300 yuz301 yuz302 yuz303 yuz304 yuz340 yuz341 yuz342 yuz343 yuz344 yuz300 yuz301 yuz302 yuz303 yuz304 yuz340 yuz341 yuz342 yuz343 yuz344 otherwise",fontsize=16,color="black",shape="box"];41897 -> 41903[label="",style="solid", color="black", weight=3];
48.79/29.30	41898 -> 42125[label="",style="dashed", color="red", weight=0];
48.79/29.30	41898[label="FiniteMap.mkBalBranch yuz300 yuz301 yuz303 (FiniteMap.glueVBal yuz304 (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344))",fontsize=16,color="magenta"];41898 -> 42139[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	41898 -> 42140[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	41898 -> 42141[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	41898 -> 42142[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42181[label="FiniteMap.glueVBal4 (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304) FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];42181 -> 42212[label="",style="solid", color="black", weight=3];
48.79/29.30	42182[label="FiniteMap.glueVBal3 (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304) (FiniteMap.Branch yuz3430 yuz3431 yuz3432 yuz3433 yuz3434)",fontsize=16,color="black",shape="triangle"];42182 -> 42213[label="",style="solid", color="black", weight=3];
48.79/29.30	39225[label="primCmpFloat (Float yuz400 (Pos yuz4010)) yuz60 == LT",fontsize=16,color="burlywood",shape="box"];43111[label="yuz60/Float yuz600 yuz601",fontsize=10,color="white",style="solid",shape="box"];39225 -> 43111[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43111 -> 39248[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39226[label="primCmpFloat (Float yuz400 (Neg yuz4010)) yuz60 == LT",fontsize=16,color="burlywood",shape="box"];43112[label="yuz60/Float yuz600 yuz601",fontsize=10,color="white",style="solid",shape="box"];39226 -> 43112[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43112 -> 39249[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39227[label="yuz1373 > yuz1368",fontsize=16,color="black",shape="box"];39227 -> 39250[label="",style="solid", color="black", weight=3];
48.79/29.30	39228[label="yuz1373 > yuz1368",fontsize=16,color="black",shape="box"];39228 -> 39251[label="",style="solid", color="black", weight=3];
48.79/29.30	39229[label="yuz1373 > yuz1368",fontsize=16,color="black",shape="box"];39229 -> 39252[label="",style="solid", color="black", weight=3];
48.79/29.30	39230[label="yuz1373 > yuz1368",fontsize=16,color="black",shape="box"];39230 -> 39253[label="",style="solid", color="black", weight=3];
48.79/29.30	39231[label="yuz1373 > yuz1368",fontsize=16,color="black",shape="box"];39231 -> 39254[label="",style="solid", color="black", weight=3];
48.79/29.30	39232[label="yuz1373 > yuz1368",fontsize=16,color="black",shape="box"];39232 -> 39255[label="",style="solid", color="black", weight=3];
48.79/29.30	39233[label="yuz1373 > yuz1368",fontsize=16,color="black",shape="box"];39233 -> 39256[label="",style="solid", color="black", weight=3];
48.79/29.30	39234[label="yuz1373 > yuz1368",fontsize=16,color="black",shape="triangle"];39234 -> 39257[label="",style="solid", color="black", weight=3];
48.79/29.30	39235[label="yuz1373 > yuz1368",fontsize=16,color="black",shape="box"];39235 -> 39258[label="",style="solid", color="black", weight=3];
48.79/29.30	39236[label="yuz1373 > yuz1368",fontsize=16,color="black",shape="box"];39236 -> 39259[label="",style="solid", color="black", weight=3];
48.79/29.30	39237[label="yuz1373 > yuz1368",fontsize=16,color="black",shape="box"];39237 -> 39260[label="",style="solid", color="black", weight=3];
48.79/29.30	39238[label="yuz1373 > yuz1368",fontsize=16,color="black",shape="box"];39238 -> 39261[label="",style="solid", color="black", weight=3];
48.79/29.30	39239[label="yuz1373 > yuz1368",fontsize=16,color="black",shape="box"];39239 -> 39262[label="",style="solid", color="black", weight=3];
48.79/29.30	39240[label="yuz1373 > yuz1368",fontsize=16,color="black",shape="box"];39240 -> 39263[label="",style="solid", color="black", weight=3];
48.79/29.30	39241[label="FiniteMap.addToFM_C1 FiniteMap.addToFM0 yuz1387 yuz1388 yuz1389 yuz1390 yuz1391 yuz1392 yuz1393 False",fontsize=16,color="black",shape="box"];39241 -> 39264[label="",style="solid", color="black", weight=3];
48.79/29.30	39242[label="FiniteMap.addToFM_C1 FiniteMap.addToFM0 yuz1387 yuz1388 yuz1389 yuz1390 yuz1391 yuz1392 yuz1393 True",fontsize=16,color="black",shape="box"];39242 -> 39265[label="",style="solid", color="black", weight=3];
48.79/29.30	42161[label="FiniteMap.addToFM_C FiniteMap.addToFM0 FiniteMap.EmptyFM yuz1373 yuz1374",fontsize=16,color="black",shape="box"];42161 -> 42183[label="",style="solid", color="black", weight=3];
48.79/29.30	42162[label="FiniteMap.addToFM_C FiniteMap.addToFM0 (FiniteMap.Branch yuz13710 yuz13711 yuz13712 yuz13713 yuz13714) yuz1373 yuz1374",fontsize=16,color="black",shape="box"];42162 -> 42184[label="",style="solid", color="black", weight=3];
48.79/29.30	39246[label="primMulNat (Succ (Succ (Succ (Succ (Succ Zero))))) yuz13580",fontsize=16,color="burlywood",shape="triangle"];43113[label="yuz13580/Succ yuz135800",fontsize=10,color="white",style="solid",shape="box"];39246 -> 43113[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43113 -> 39270[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43114[label="yuz13580/Zero",fontsize=10,color="white",style="solid",shape="box"];39246 -> 43114[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43114 -> 39271[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39247 -> 39246[label="",style="dashed", color="red", weight=0];
48.79/29.30	39247[label="primMulNat (Succ (Succ (Succ (Succ (Succ Zero))))) yuz13580",fontsize=16,color="magenta"];39247 -> 39272[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	17505 -> 17437[label="",style="dashed", color="red", weight=0];
48.79/29.30	17505[label="primCmpNat (Succ yuz2100) yuz160 == LT",fontsize=16,color="magenta"];17505 -> 17532[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	17505 -> 17533[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	17506 -> 17438[label="",style="dashed", color="red", weight=0];
48.79/29.30	17506[label="GT == LT",fontsize=16,color="magenta"];17507[label="primCmpInt (Pos Zero) (Pos (Succ yuz1600)) == LT",fontsize=16,color="black",shape="box"];17507 -> 17534[label="",style="solid", color="black", weight=3];
48.79/29.30	17508[label="primCmpInt (Pos Zero) (Pos Zero) == LT",fontsize=16,color="black",shape="box"];17508 -> 17535[label="",style="solid", color="black", weight=3];
48.79/29.30	17509[label="primCmpInt (Pos Zero) (Neg (Succ yuz1600)) == LT",fontsize=16,color="black",shape="box"];17509 -> 17536[label="",style="solid", color="black", weight=3];
48.79/29.30	17510[label="primCmpInt (Pos Zero) (Neg Zero) == LT",fontsize=16,color="black",shape="box"];17510 -> 17537[label="",style="solid", color="black", weight=3];
48.79/29.30	17511 -> 17248[label="",style="dashed", color="red", weight=0];
48.79/29.30	17511[label="LT == LT",fontsize=16,color="magenta"];17512 -> 17437[label="",style="dashed", color="red", weight=0];
48.79/29.30	17512[label="primCmpNat yuz160 (Succ yuz2100) == LT",fontsize=16,color="magenta"];17512 -> 17538[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	17512 -> 17539[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	17513[label="primCmpInt (Neg Zero) (Pos (Succ yuz1600)) == LT",fontsize=16,color="black",shape="box"];17513 -> 17540[label="",style="solid", color="black", weight=3];
48.79/29.30	17514[label="primCmpInt (Neg Zero) (Pos Zero) == LT",fontsize=16,color="black",shape="box"];17514 -> 17541[label="",style="solid", color="black", weight=3];
48.79/29.30	17515[label="primCmpInt (Neg Zero) (Neg (Succ yuz1600)) == LT",fontsize=16,color="black",shape="box"];17515 -> 17542[label="",style="solid", color="black", weight=3];
48.79/29.30	17516[label="primCmpInt (Neg Zero) (Neg Zero) == LT",fontsize=16,color="black",shape="box"];17516 -> 17543[label="",style="solid", color="black", weight=3];
48.79/29.30	20572 -> 20525[label="",style="dashed", color="red", weight=0];
48.79/29.30	20572[label="FiniteMap.sizeFM (FiniteMap.Branch yuz140 yuz141 yuz142 yuz143 yuz144)",fontsize=16,color="magenta"];20572 -> 20729[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	20572 -> 20730[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	20572 -> 20731[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	20572 -> 20732[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	20572 -> 20733[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	20563 -> 20573[label="",style="dashed", color="red", weight=0];
48.79/29.30	20563[label="FiniteMap.mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))))))))) yuz21 yuz22 (FiniteMap.Branch yuz200 yuz201 yuz202 yuz203 yuz204) (FiniteMap.Branch yuz140 yuz141 yuz142 yuz143 yuz144)",fontsize=16,color="magenta"];20563 -> 20574[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	20563 -> 20575[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	20563 -> 20576[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	20563 -> 20577[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	20563 -> 20578[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	20563 -> 20579[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	20563 -> 20580[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	20563 -> 20581[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	20563 -> 20582[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	20563 -> 20583[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	20563 -> 20584[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	20563 -> 20585[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	20563 -> 20586[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42163[label="FiniteMap.mkVBalBranch yuz21 yuz22 FiniteMap.EmptyFM (FiniteMap.Branch yuz140 yuz141 yuz142 yuz143 yuz144)",fontsize=16,color="black",shape="box"];42163 -> 42185[label="",style="solid", color="black", weight=3];
48.79/29.30	42164[label="FiniteMap.mkVBalBranch yuz21 yuz22 (FiniteMap.Branch yuz2040 yuz2041 yuz2042 yuz2043 yuz2044) (FiniteMap.Branch yuz140 yuz141 yuz142 yuz143 yuz144)",fontsize=16,color="black",shape="box"];42164 -> 42186[label="",style="solid", color="black", weight=3];
48.79/29.30	42201 -> 42134[label="",style="dashed", color="red", weight=0];
48.79/29.30	42201[label="FiniteMap.addToFM_C FiniteMap.addToFM0 (FiniteMap.Branch yuz200 yuz201 yuz202 yuz203 yuz204) yuz21 yuz22",fontsize=16,color="magenta"];42201 -> 42251[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42201 -> 42252[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42201 -> 42253[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42202[label="yuz1433",fontsize=16,color="green",shape="box"];42203[label="yuz1434",fontsize=16,color="green",shape="box"];42204[label="yuz1430",fontsize=16,color="green",shape="box"];42205 -> 14332[label="",style="dashed", color="red", weight=0];
48.79/29.30	42205[label="FiniteMap.sIZE_RATIO * FiniteMap.mkVBalBranch3Size_l yuz1430 yuz1431 yuz1432 yuz1433 yuz1434 yuz200 yuz201 yuz202 yuz203 yuz204 < FiniteMap.mkVBalBranch3Size_r yuz1430 yuz1431 yuz1432 yuz1433 yuz1434 yuz200 yuz201 yuz202 yuz203 yuz204",fontsize=16,color="magenta"];42205 -> 42254[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42205 -> 42255[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42206[label="yuz1431",fontsize=16,color="green",shape="box"];42207[label="yuz1432",fontsize=16,color="green",shape="box"];42208[label="Pos (Succ (Succ Zero))",fontsize=16,color="green",shape="box"];42209 -> 39311[label="",style="dashed", color="red", weight=0];
48.79/29.30	42209[label="FiniteMap.mkBalBranch6Size_l yuz340 yuz341 yuz344 yuz1499 + FiniteMap.mkBalBranch6Size_r yuz340 yuz341 yuz344 yuz1499",fontsize=16,color="magenta"];42209 -> 42256[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42209 -> 42257[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42210[label="FiniteMap.mkBalBranch6MkBalBranch5 yuz340 yuz341 yuz344 yuz1499 yuz340 yuz341 yuz1499 yuz344 False",fontsize=16,color="black",shape="box"];42210 -> 42258[label="",style="solid", color="black", weight=3];
48.79/29.30	42211[label="FiniteMap.mkBalBranch6MkBalBranch5 yuz340 yuz341 yuz344 yuz1499 yuz340 yuz341 yuz1499 yuz344 True",fontsize=16,color="black",shape="box"];42211 -> 42259[label="",style="solid", color="black", weight=3];
48.79/29.30	41901[label="FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304",fontsize=16,color="green",shape="box"];41902 -> 20741[label="",style="dashed", color="red", weight=0];
48.79/29.30	41902[label="FiniteMap.sizeFM (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344)",fontsize=16,color="magenta"];41902 -> 41909[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	41903[label="FiniteMap.glueVBal3GlueVBal0 yuz300 yuz301 yuz302 yuz303 yuz304 yuz340 yuz341 yuz342 yuz343 yuz344 yuz300 yuz301 yuz302 yuz303 yuz304 yuz340 yuz341 yuz342 yuz343 yuz344 True",fontsize=16,color="black",shape="box"];41903 -> 41910[label="",style="solid", color="black", weight=3];
48.79/29.30	42139[label="yuz300",fontsize=16,color="green",shape="box"];42140[label="FiniteMap.glueVBal yuz304 (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344)",fontsize=16,color="burlywood",shape="box"];43115[label="yuz304/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];42140 -> 43115[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43115 -> 42165[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43116[label="yuz304/FiniteMap.Branch yuz3040 yuz3041 yuz3042 yuz3043 yuz3044",fontsize=10,color="white",style="solid",shape="box"];42140 -> 43116[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43116 -> 42166[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	42141[label="yuz301",fontsize=16,color="green",shape="box"];42142[label="yuz303",fontsize=16,color="green",shape="box"];42212[label="FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304",fontsize=16,color="green",shape="box"];42213 -> 40540[label="",style="dashed", color="red", weight=0];
48.79/29.30	42213[label="FiniteMap.glueVBal3GlueVBal2 yuz300 yuz301 yuz302 yuz303 yuz304 yuz3430 yuz3431 yuz3432 yuz3433 yuz3434 yuz300 yuz301 yuz302 yuz303 yuz304 yuz3430 yuz3431 yuz3432 yuz3433 yuz3434 (FiniteMap.sIZE_RATIO * FiniteMap.glueVBal3Size_l yuz300 yuz301 yuz302 yuz303 yuz304 yuz3430 yuz3431 yuz3432 yuz3433 yuz3434 < FiniteMap.glueVBal3Size_r yuz300 yuz301 yuz302 yuz303 yuz304 yuz3430 yuz3431 yuz3432 yuz3433 yuz3434)",fontsize=16,color="magenta"];42213 -> 42260[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42213 -> 42261[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42213 -> 42262[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42213 -> 42263[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42213 -> 42264[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42213 -> 42265[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39248[label="primCmpFloat (Float yuz400 (Pos yuz4010)) (Float yuz600 yuz601) == LT",fontsize=16,color="burlywood",shape="box"];43117[label="yuz601/Pos yuz6010",fontsize=10,color="white",style="solid",shape="box"];39248 -> 43117[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43117 -> 39273[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43118[label="yuz601/Neg yuz6010",fontsize=10,color="white",style="solid",shape="box"];39248 -> 43118[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43118 -> 39274[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39249[label="primCmpFloat (Float yuz400 (Neg yuz4010)) (Float yuz600 yuz601) == LT",fontsize=16,color="burlywood",shape="box"];43119[label="yuz601/Pos yuz6010",fontsize=10,color="white",style="solid",shape="box"];39249 -> 43119[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43119 -> 39275[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43120[label="yuz601/Neg yuz6010",fontsize=10,color="white",style="solid",shape="box"];39249 -> 43120[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43120 -> 39276[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39250[label="compare yuz1373 yuz1368 == GT",fontsize=16,color="black",shape="box"];39250 -> 39277[label="",style="solid", color="black", weight=3];
48.79/29.30	39251[label="compare yuz1373 yuz1368 == GT",fontsize=16,color="black",shape="box"];39251 -> 39278[label="",style="solid", color="black", weight=3];
48.79/29.30	39252[label="compare yuz1373 yuz1368 == GT",fontsize=16,color="black",shape="box"];39252 -> 39279[label="",style="solid", color="black", weight=3];
48.79/29.30	39253[label="compare yuz1373 yuz1368 == GT",fontsize=16,color="black",shape="box"];39253 -> 39280[label="",style="solid", color="black", weight=3];
48.79/29.30	39254[label="compare yuz1373 yuz1368 == GT",fontsize=16,color="black",shape="box"];39254 -> 39281[label="",style="solid", color="black", weight=3];
48.79/29.30	39255[label="compare yuz1373 yuz1368 == GT",fontsize=16,color="black",shape="box"];39255 -> 39282[label="",style="solid", color="black", weight=3];
48.79/29.30	39256[label="compare yuz1373 yuz1368 == GT",fontsize=16,color="black",shape="box"];39256 -> 39283[label="",style="solid", color="black", weight=3];
48.79/29.30	39257[label="compare yuz1373 yuz1368 == GT",fontsize=16,color="black",shape="triangle"];39257 -> 39284[label="",style="solid", color="black", weight=3];
48.79/29.30	39258[label="compare yuz1373 yuz1368 == GT",fontsize=16,color="black",shape="box"];39258 -> 39285[label="",style="solid", color="black", weight=3];
48.79/29.30	39259[label="compare yuz1373 yuz1368 == GT",fontsize=16,color="black",shape="box"];39259 -> 39286[label="",style="solid", color="black", weight=3];
48.79/29.30	39260[label="compare yuz1373 yuz1368 == GT",fontsize=16,color="black",shape="box"];39260 -> 39287[label="",style="solid", color="black", weight=3];
48.79/29.30	39261[label="compare yuz1373 yuz1368 == GT",fontsize=16,color="black",shape="box"];39261 -> 39288[label="",style="solid", color="black", weight=3];
48.79/29.30	39262[label="compare yuz1373 yuz1368 == GT",fontsize=16,color="black",shape="box"];39262 -> 39289[label="",style="solid", color="black", weight=3];
48.79/29.30	39263[label="compare yuz1373 yuz1368 == GT",fontsize=16,color="black",shape="box"];39263 -> 39290[label="",style="solid", color="black", weight=3];
48.79/29.30	39264[label="FiniteMap.addToFM_C0 FiniteMap.addToFM0 yuz1387 yuz1388 yuz1389 yuz1390 yuz1391 yuz1392 yuz1393 otherwise",fontsize=16,color="black",shape="box"];39264 -> 39291[label="",style="solid", color="black", weight=3];
48.79/29.30	39265 -> 42125[label="",style="dashed", color="red", weight=0];
48.79/29.30	39265[label="FiniteMap.mkBalBranch yuz1387 yuz1388 yuz1390 (FiniteMap.addToFM_C FiniteMap.addToFM0 yuz1391 yuz1392 yuz1393)",fontsize=16,color="magenta"];39265 -> 42143[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39265 -> 42144[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39265 -> 42145[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39265 -> 42146[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42183[label="FiniteMap.addToFM_C4 FiniteMap.addToFM0 FiniteMap.EmptyFM yuz1373 yuz1374",fontsize=16,color="black",shape="box"];42183 -> 42214[label="",style="solid", color="black", weight=3];
48.79/29.30	42184[label="FiniteMap.addToFM_C3 FiniteMap.addToFM0 (FiniteMap.Branch yuz13710 yuz13711 yuz13712 yuz13713 yuz13714) yuz1373 yuz1374",fontsize=16,color="black",shape="box"];42184 -> 42215[label="",style="solid", color="black", weight=3];
48.79/29.30	39270[label="primMulNat (Succ (Succ (Succ (Succ (Succ Zero))))) (Succ yuz135800)",fontsize=16,color="black",shape="box"];39270 -> 39300[label="",style="solid", color="black", weight=3];
48.79/29.30	39271[label="primMulNat (Succ (Succ (Succ (Succ (Succ Zero))))) Zero",fontsize=16,color="black",shape="box"];39271 -> 39301[label="",style="solid", color="black", weight=3];
48.79/29.30	39272[label="yuz13580",fontsize=16,color="green",shape="box"];17532[label="Succ yuz2100",fontsize=16,color="green",shape="box"];17533[label="yuz160",fontsize=16,color="green",shape="box"];17437[label="primCmpNat yuz2300 yuz130000 == LT",fontsize=16,color="burlywood",shape="triangle"];43121[label="yuz2300/Succ yuz23000",fontsize=10,color="white",style="solid",shape="box"];17437 -> 43121[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43121 -> 17498[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43122[label="yuz2300/Zero",fontsize=10,color="white",style="solid",shape="box"];17437 -> 43122[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43122 -> 17499[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	17438[label="GT == LT",fontsize=16,color="black",shape="triangle"];17438 -> 17500[label="",style="solid", color="black", weight=3];
48.79/29.30	17534 -> 17437[label="",style="dashed", color="red", weight=0];
48.79/29.30	17534[label="primCmpNat Zero (Succ yuz1600) == LT",fontsize=16,color="magenta"];17534 -> 17579[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	17534 -> 17580[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	17535 -> 17254[label="",style="dashed", color="red", weight=0];
48.79/29.30	17535[label="EQ == LT",fontsize=16,color="magenta"];17536 -> 17438[label="",style="dashed", color="red", weight=0];
48.79/29.30	17536[label="GT == LT",fontsize=16,color="magenta"];17537 -> 17254[label="",style="dashed", color="red", weight=0];
48.79/29.30	17537[label="EQ == LT",fontsize=16,color="magenta"];17248[label="LT == LT",fontsize=16,color="black",shape="triangle"];17248 -> 17381[label="",style="solid", color="black", weight=3];
48.79/29.30	17538[label="yuz160",fontsize=16,color="green",shape="box"];17539[label="Succ yuz2100",fontsize=16,color="green",shape="box"];17540 -> 17248[label="",style="dashed", color="red", weight=0];
48.79/29.30	17540[label="LT == LT",fontsize=16,color="magenta"];17541 -> 17254[label="",style="dashed", color="red", weight=0];
48.79/29.30	17541[label="EQ == LT",fontsize=16,color="magenta"];17542 -> 17437[label="",style="dashed", color="red", weight=0];
48.79/29.30	17542[label="primCmpNat (Succ yuz1600) Zero == LT",fontsize=16,color="magenta"];17542 -> 17581[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	17542 -> 17582[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	17543 -> 17254[label="",style="dashed", color="red", weight=0];
48.79/29.30	17543[label="EQ == LT",fontsize=16,color="magenta"];20729[label="yuz144",fontsize=16,color="green",shape="box"];20730[label="yuz140",fontsize=16,color="green",shape="box"];20731[label="yuz141",fontsize=16,color="green",shape="box"];20732[label="yuz143",fontsize=16,color="green",shape="box"];20733[label="yuz142",fontsize=16,color="green",shape="box"];20574[label="yuz21",fontsize=16,color="green",shape="box"];20575[label="yuz141",fontsize=16,color="green",shape="box"];20576[label="Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))))))",fontsize=16,color="green",shape="box"];20577[label="yuz201",fontsize=16,color="green",shape="box"];20578[label="yuz22",fontsize=16,color="green",shape="box"];20579[label="yuz140",fontsize=16,color="green",shape="box"];20580[label="yuz144",fontsize=16,color="green",shape="box"];20581[label="yuz200",fontsize=16,color="green",shape="box"];20582[label="yuz142",fontsize=16,color="green",shape="box"];20583[label="yuz143",fontsize=16,color="green",shape="box"];20584[label="yuz203",fontsize=16,color="green",shape="box"];20585[label="yuz204",fontsize=16,color="green",shape="box"];20586[label="yuz202",fontsize=16,color="green",shape="box"];20573[label="FiniteMap.mkBranch (Pos (Succ yuz1321)) yuz1322 yuz1323 (FiniteMap.Branch yuz1324 yuz1325 yuz1326 yuz1327 yuz1328) (FiniteMap.Branch yuz1329 yuz1330 yuz1331 yuz1332 yuz1333)",fontsize=16,color="black",shape="triangle"];20573 -> 20734[label="",style="solid", color="black", weight=3];
48.79/29.30	42185[label="FiniteMap.mkVBalBranch5 yuz21 yuz22 FiniteMap.EmptyFM (FiniteMap.Branch yuz140 yuz141 yuz142 yuz143 yuz144)",fontsize=16,color="black",shape="box"];42185 -> 42216[label="",style="solid", color="black", weight=3];
48.79/29.30	42186 -> 42179[label="",style="dashed", color="red", weight=0];
48.79/29.30	42186[label="FiniteMap.mkVBalBranch3 yuz21 yuz22 (FiniteMap.Branch yuz2040 yuz2041 yuz2042 yuz2043 yuz2044) (FiniteMap.Branch yuz140 yuz141 yuz142 yuz143 yuz144)",fontsize=16,color="magenta"];42186 -> 42217[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42186 -> 42218[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42186 -> 42219[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42186 -> 42220[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42186 -> 42221[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42186 -> 42222[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42186 -> 42223[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42186 -> 42224[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42186 -> 42225[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42186 -> 42226[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42251[label="yuz22",fontsize=16,color="green",shape="box"];42252[label="FiniteMap.Branch yuz200 yuz201 yuz202 yuz203 yuz204",fontsize=16,color="green",shape="box"];42253[label="yuz21",fontsize=16,color="green",shape="box"];42254 -> 20562[label="",style="dashed", color="red", weight=0];
48.79/29.30	42254[label="FiniteMap.mkVBalBranch3Size_r yuz1430 yuz1431 yuz1432 yuz1433 yuz1434 yuz200 yuz201 yuz202 yuz203 yuz204",fontsize=16,color="magenta"];42254 -> 42296[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42254 -> 42297[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42254 -> 42298[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42254 -> 42299[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42254 -> 42300[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42255 -> 21005[label="",style="dashed", color="red", weight=0];
48.79/29.30	42255[label="FiniteMap.sIZE_RATIO * FiniteMap.mkVBalBranch3Size_l yuz1430 yuz1431 yuz1432 yuz1433 yuz1434 yuz200 yuz201 yuz202 yuz203 yuz204",fontsize=16,color="magenta"];42255 -> 42301[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42256[label="FiniteMap.mkBalBranch6Size_r yuz340 yuz341 yuz344 yuz1499",fontsize=16,color="black",shape="triangle"];42256 -> 42302[label="",style="solid", color="black", weight=3];
48.79/29.30	42257[label="FiniteMap.mkBalBranch6Size_l yuz340 yuz341 yuz344 yuz1499",fontsize=16,color="black",shape="triangle"];42257 -> 42303[label="",style="solid", color="black", weight=3];
48.79/29.30	39311[label="yuz1402 + yuz1401",fontsize=16,color="black",shape="triangle"];39311 -> 39337[label="",style="solid", color="black", weight=3];
48.79/29.30	42258 -> 42304[label="",style="dashed", color="red", weight=0];
48.79/29.30	42258[label="FiniteMap.mkBalBranch6MkBalBranch4 yuz340 yuz341 yuz344 yuz1499 yuz340 yuz341 yuz1499 yuz344 (FiniteMap.mkBalBranch6Size_r yuz340 yuz341 yuz344 yuz1499 > FiniteMap.sIZE_RATIO * FiniteMap.mkBalBranch6Size_l yuz340 yuz341 yuz344 yuz1499)",fontsize=16,color="magenta"];42258 -> 42305[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42259[label="FiniteMap.mkBranch (Pos (Succ Zero)) yuz340 yuz341 yuz1499 yuz344",fontsize=16,color="black",shape="box"];42259 -> 42306[label="",style="solid", color="black", weight=3];
48.79/29.30	41909[label="FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344",fontsize=16,color="green",shape="box"];41910[label="FiniteMap.glueBal (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304) (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344)",fontsize=16,color="black",shape="box"];41910 -> 41916[label="",style="solid", color="black", weight=3];
48.79/29.30	42165[label="FiniteMap.glueVBal FiniteMap.EmptyFM (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344)",fontsize=16,color="black",shape="box"];42165 -> 42187[label="",style="solid", color="black", weight=3];
48.79/29.30	42166[label="FiniteMap.glueVBal (FiniteMap.Branch yuz3040 yuz3041 yuz3042 yuz3043 yuz3044) (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344)",fontsize=16,color="black",shape="box"];42166 -> 42188[label="",style="solid", color="black", weight=3];
48.79/29.30	42260[label="yuz3430",fontsize=16,color="green",shape="box"];42261[label="yuz3433",fontsize=16,color="green",shape="box"];42262 -> 14332[label="",style="dashed", color="red", weight=0];
48.79/29.30	42262[label="FiniteMap.sIZE_RATIO * FiniteMap.glueVBal3Size_l yuz300 yuz301 yuz302 yuz303 yuz304 yuz3430 yuz3431 yuz3432 yuz3433 yuz3434 < FiniteMap.glueVBal3Size_r yuz300 yuz301 yuz302 yuz303 yuz304 yuz3430 yuz3431 yuz3432 yuz3433 yuz3434",fontsize=16,color="magenta"];42262 -> 42307[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42262 -> 42308[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42263[label="yuz3434",fontsize=16,color="green",shape="box"];42264[label="yuz3431",fontsize=16,color="green",shape="box"];42265[label="yuz3432",fontsize=16,color="green",shape="box"];39273[label="primCmpFloat (Float yuz400 (Pos yuz4010)) (Float yuz600 (Pos yuz6010)) == LT",fontsize=16,color="black",shape="box"];39273 -> 39302[label="",style="solid", color="black", weight=3];
48.79/29.30	39274[label="primCmpFloat (Float yuz400 (Pos yuz4010)) (Float yuz600 (Neg yuz6010)) == LT",fontsize=16,color="black",shape="box"];39274 -> 39303[label="",style="solid", color="black", weight=3];
48.79/29.30	39275[label="primCmpFloat (Float yuz400 (Neg yuz4010)) (Float yuz600 (Pos yuz6010)) == LT",fontsize=16,color="black",shape="box"];39275 -> 39304[label="",style="solid", color="black", weight=3];
48.79/29.30	39276[label="primCmpFloat (Float yuz400 (Neg yuz4010)) (Float yuz600 (Neg yuz6010)) == LT",fontsize=16,color="black",shape="box"];39276 -> 39305[label="",style="solid", color="black", weight=3];
48.79/29.30	39277[label="error []",fontsize=16,color="red",shape="box"];39278[label="error []",fontsize=16,color="red",shape="box"];39279[label="error []",fontsize=16,color="red",shape="box"];39280[label="error []",fontsize=16,color="red",shape="box"];39281[label="error []",fontsize=16,color="red",shape="box"];39282[label="error []",fontsize=16,color="red",shape="box"];39283[label="error []",fontsize=16,color="red",shape="box"];39284[label="primCmpInt yuz1373 yuz1368 == GT",fontsize=16,color="burlywood",shape="box"];43123[label="yuz1373/Pos yuz13730",fontsize=10,color="white",style="solid",shape="box"];39284 -> 43123[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43123 -> 39306[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43124[label="yuz1373/Neg yuz13730",fontsize=10,color="white",style="solid",shape="box"];39284 -> 43124[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43124 -> 39307[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39285[label="error []",fontsize=16,color="red",shape="box"];39286[label="error []",fontsize=16,color="red",shape="box"];39287[label="error []",fontsize=16,color="red",shape="box"];39288[label="primCmpFloat yuz1373 yuz1368 == GT",fontsize=16,color="burlywood",shape="box"];43125[label="yuz1373/Float yuz13730 yuz13731",fontsize=10,color="white",style="solid",shape="box"];39288 -> 43125[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43125 -> 39308[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39289[label="error []",fontsize=16,color="red",shape="box"];39290[label="error []",fontsize=16,color="red",shape="box"];39291[label="FiniteMap.addToFM_C0 FiniteMap.addToFM0 yuz1387 yuz1388 yuz1389 yuz1390 yuz1391 yuz1392 yuz1393 True",fontsize=16,color="black",shape="box"];39291 -> 39309[label="",style="solid", color="black", weight=3];
48.79/29.30	42143[label="yuz1387",fontsize=16,color="green",shape="box"];42144 -> 42134[label="",style="dashed", color="red", weight=0];
48.79/29.30	42144[label="FiniteMap.addToFM_C FiniteMap.addToFM0 yuz1391 yuz1392 yuz1393",fontsize=16,color="magenta"];42144 -> 42167[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42144 -> 42168[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42144 -> 42169[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42145[label="yuz1388",fontsize=16,color="green",shape="box"];42146[label="yuz1390",fontsize=16,color="green",shape="box"];42214[label="FiniteMap.unitFM yuz1373 yuz1374",fontsize=16,color="black",shape="box"];42214 -> 42266[label="",style="solid", color="black", weight=3];
48.79/29.30	42215 -> 21033[label="",style="dashed", color="red", weight=0];
48.79/29.30	42215[label="FiniteMap.addToFM_C2 FiniteMap.addToFM0 yuz13710 yuz13711 yuz13712 yuz13713 yuz13714 yuz1373 yuz1374 (yuz1373 < yuz13710)",fontsize=16,color="magenta"];42215 -> 42267[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42215 -> 42268[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42215 -> 42269[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42215 -> 42270[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42215 -> 42271[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42215 -> 42272[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39300 -> 4451[label="",style="dashed", color="red", weight=0];
48.79/29.30	39300[label="primPlusNat (primMulNat (Succ (Succ (Succ (Succ Zero)))) (Succ yuz135800)) (Succ yuz135800)",fontsize=16,color="magenta"];39300 -> 39340[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39300 -> 39341[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39301[label="Zero",fontsize=16,color="green",shape="box"];17498[label="primCmpNat (Succ yuz23000) yuz130000 == LT",fontsize=16,color="burlywood",shape="box"];43126[label="yuz130000/Succ yuz1300000",fontsize=10,color="white",style="solid",shape="box"];17498 -> 43126[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43126 -> 17528[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43127[label="yuz130000/Zero",fontsize=10,color="white",style="solid",shape="box"];17498 -> 43127[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43127 -> 17529[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	17499[label="primCmpNat Zero yuz130000 == LT",fontsize=16,color="burlywood",shape="box"];43128[label="yuz130000/Succ yuz1300000",fontsize=10,color="white",style="solid",shape="box"];17499 -> 43128[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43128 -> 17530[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43129[label="yuz130000/Zero",fontsize=10,color="white",style="solid",shape="box"];17499 -> 43129[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43129 -> 17531[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	17500[label="False",fontsize=16,color="green",shape="box"];17579[label="Zero",fontsize=16,color="green",shape="box"];17580[label="Succ yuz1600",fontsize=16,color="green",shape="box"];17254[label="EQ == LT",fontsize=16,color="black",shape="triangle"];17254 -> 17384[label="",style="solid", color="black", weight=3];
48.79/29.30	17381[label="True",fontsize=16,color="green",shape="box"];17581[label="Succ yuz1600",fontsize=16,color="green",shape="box"];17582[label="Zero",fontsize=16,color="green",shape="box"];20734 -> 20810[label="",style="dashed", color="red", weight=0];
48.79/29.30	20734[label="FiniteMap.mkBranchResult yuz1322 yuz1323 (FiniteMap.Branch yuz1324 yuz1325 yuz1326 yuz1327 yuz1328) (FiniteMap.Branch yuz1329 yuz1330 yuz1331 yuz1332 yuz1333)",fontsize=16,color="magenta"];20734 -> 20812[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	20734 -> 20813[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	20734 -> 20814[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	20734 -> 20815[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42216 -> 42197[label="",style="dashed", color="red", weight=0];
48.79/29.30	42216[label="FiniteMap.addToFM (FiniteMap.Branch yuz140 yuz141 yuz142 yuz143 yuz144) yuz21 yuz22",fontsize=16,color="magenta"];42216 -> 42273[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42216 -> 42274[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42216 -> 42275[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42216 -> 42276[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42216 -> 42277[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42217[label="yuz2044",fontsize=16,color="green",shape="box"];42218[label="yuz140",fontsize=16,color="green",shape="box"];42219[label="yuz144",fontsize=16,color="green",shape="box"];42220[label="yuz2040",fontsize=16,color="green",shape="box"];42221[label="yuz2041",fontsize=16,color="green",shape="box"];42222[label="yuz142",fontsize=16,color="green",shape="box"];42223[label="yuz143",fontsize=16,color="green",shape="box"];42224[label="yuz141",fontsize=16,color="green",shape="box"];42225[label="yuz2043",fontsize=16,color="green",shape="box"];42226[label="yuz2042",fontsize=16,color="green",shape="box"];42296[label="yuz1433",fontsize=16,color="green",shape="box"];42297[label="yuz1431",fontsize=16,color="green",shape="box"];42298[label="yuz1432",fontsize=16,color="green",shape="box"];42299[label="yuz1434",fontsize=16,color="green",shape="box"];42300[label="yuz1430",fontsize=16,color="green",shape="box"];42301 -> 20499[label="",style="dashed", color="red", weight=0];
48.79/29.30	42301[label="FiniteMap.mkVBalBranch3Size_l yuz1430 yuz1431 yuz1432 yuz1433 yuz1434 yuz200 yuz201 yuz202 yuz203 yuz204",fontsize=16,color="magenta"];42301 -> 42309[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42301 -> 42310[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42301 -> 42311[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42301 -> 42312[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42301 -> 42313[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42302 -> 20741[label="",style="dashed", color="red", weight=0];
48.79/29.30	42302[label="FiniteMap.sizeFM yuz344",fontsize=16,color="magenta"];42302 -> 42314[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42303 -> 20741[label="",style="dashed", color="red", weight=0];
48.79/29.30	42303[label="FiniteMap.sizeFM yuz1499",fontsize=16,color="magenta"];42303 -> 42315[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39337[label="primPlusInt yuz1402 yuz1401",fontsize=16,color="burlywood",shape="triangle"];43130[label="yuz1402/Pos yuz14020",fontsize=10,color="white",style="solid",shape="box"];39337 -> 43130[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43130 -> 39359[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43131[label="yuz1402/Neg yuz14020",fontsize=10,color="white",style="solid",shape="box"];39337 -> 43131[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43131 -> 39360[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	42305 -> 39234[label="",style="dashed", color="red", weight=0];
48.79/29.30	42305[label="FiniteMap.mkBalBranch6Size_r yuz340 yuz341 yuz344 yuz1499 > FiniteMap.sIZE_RATIO * FiniteMap.mkBalBranch6Size_l yuz340 yuz341 yuz344 yuz1499",fontsize=16,color="magenta"];42305 -> 42316[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42305 -> 42317[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42304[label="FiniteMap.mkBalBranch6MkBalBranch4 yuz340 yuz341 yuz344 yuz1499 yuz340 yuz341 yuz1499 yuz344 yuz1502",fontsize=16,color="burlywood",shape="triangle"];43132[label="yuz1502/False",fontsize=10,color="white",style="solid",shape="box"];42304 -> 43132[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43132 -> 42318[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43133[label="yuz1502/True",fontsize=10,color="white",style="solid",shape="box"];42304 -> 43133[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43133 -> 42319[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	42306 -> 20810[label="",style="dashed", color="red", weight=0];
48.79/29.30	42306[label="FiniteMap.mkBranchResult yuz340 yuz341 yuz1499 yuz344",fontsize=16,color="magenta"];42306 -> 42348[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42306 -> 42349[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42306 -> 42350[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42306 -> 42351[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	41916[label="FiniteMap.glueBal2 (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304) (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344)",fontsize=16,color="black",shape="box"];41916 -> 41938[label="",style="solid", color="black", weight=3];
48.79/29.30	42187[label="FiniteMap.glueVBal5 FiniteMap.EmptyFM (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344)",fontsize=16,color="black",shape="box"];42187 -> 42227[label="",style="solid", color="black", weight=3];
48.79/29.30	42188 -> 42182[label="",style="dashed", color="red", weight=0];
48.79/29.30	42188[label="FiniteMap.glueVBal3 (FiniteMap.Branch yuz3040 yuz3041 yuz3042 yuz3043 yuz3044) (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344)",fontsize=16,color="magenta"];42188 -> 42228[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42188 -> 42229[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42188 -> 42230[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42188 -> 42231[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42188 -> 42232[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42188 -> 42233[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42188 -> 42234[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42188 -> 42235[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42188 -> 42236[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42188 -> 42237[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42307 -> 41896[label="",style="dashed", color="red", weight=0];
48.79/29.30	42307[label="FiniteMap.glueVBal3Size_r yuz300 yuz301 yuz302 yuz303 yuz304 yuz3430 yuz3431 yuz3432 yuz3433 yuz3434",fontsize=16,color="magenta"];42307 -> 42352[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42307 -> 42353[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42307 -> 42354[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42307 -> 42355[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42307 -> 42356[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42308 -> 21005[label="",style="dashed", color="red", weight=0];
48.79/29.30	42308[label="FiniteMap.sIZE_RATIO * FiniteMap.glueVBal3Size_l yuz300 yuz301 yuz302 yuz303 yuz304 yuz3430 yuz3431 yuz3432 yuz3433 yuz3434",fontsize=16,color="magenta"];42308 -> 42357[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39302 -> 15188[label="",style="dashed", color="red", weight=0];
48.79/29.30	39302[label="compare (yuz400 * Pos yuz6010) (Pos yuz4010 * yuz600) == LT",fontsize=16,color="magenta"];39302 -> 39342[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39302 -> 39343[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39303 -> 15188[label="",style="dashed", color="red", weight=0];
48.79/29.30	39303[label="compare (yuz400 * Pos yuz6010) (Neg yuz4010 * yuz600) == LT",fontsize=16,color="magenta"];39303 -> 39344[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39303 -> 39345[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39304 -> 15188[label="",style="dashed", color="red", weight=0];
48.79/29.30	39304[label="compare (yuz400 * Neg yuz6010) (Pos yuz4010 * yuz600) == LT",fontsize=16,color="magenta"];39304 -> 39346[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39304 -> 39347[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39305 -> 15188[label="",style="dashed", color="red", weight=0];
48.79/29.30	39305[label="compare (yuz400 * Neg yuz6010) (Neg yuz4010 * yuz600) == LT",fontsize=16,color="magenta"];39305 -> 39348[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39305 -> 39349[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39306[label="primCmpInt (Pos yuz13730) yuz1368 == GT",fontsize=16,color="burlywood",shape="box"];43134[label="yuz13730/Succ yuz137300",fontsize=10,color="white",style="solid",shape="box"];39306 -> 43134[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43134 -> 39350[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43135[label="yuz13730/Zero",fontsize=10,color="white",style="solid",shape="box"];39306 -> 43135[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43135 -> 39351[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39307[label="primCmpInt (Neg yuz13730) yuz1368 == GT",fontsize=16,color="burlywood",shape="box"];43136[label="yuz13730/Succ yuz137300",fontsize=10,color="white",style="solid",shape="box"];39307 -> 43136[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43136 -> 39352[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43137[label="yuz13730/Zero",fontsize=10,color="white",style="solid",shape="box"];39307 -> 43137[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43137 -> 39353[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39308[label="primCmpFloat (Float yuz13730 yuz13731) yuz1368 == GT",fontsize=16,color="burlywood",shape="box"];43138[label="yuz13731/Pos yuz137310",fontsize=10,color="white",style="solid",shape="box"];39308 -> 43138[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43138 -> 39354[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43139[label="yuz13731/Neg yuz137310",fontsize=10,color="white",style="solid",shape="box"];39308 -> 43139[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43139 -> 39355[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39309[label="FiniteMap.Branch yuz1392 (FiniteMap.addToFM0 yuz1388 yuz1393) yuz1389 yuz1390 yuz1391",fontsize=16,color="green",shape="box"];39309 -> 39356[label="",style="dashed", color="green", weight=3];
48.79/29.30	42167[label="yuz1393",fontsize=16,color="green",shape="box"];42168[label="yuz1391",fontsize=16,color="green",shape="box"];42169[label="yuz1392",fontsize=16,color="green",shape="box"];42266[label="FiniteMap.Branch yuz1373 yuz1374 (Pos (Succ Zero)) FiniteMap.emptyFM FiniteMap.emptyFM",fontsize=16,color="green",shape="box"];42266 -> 42320[label="",style="dashed", color="green", weight=3];
48.79/29.30	42266 -> 42321[label="",style="dashed", color="green", weight=3];
48.79/29.30	42267[label="yuz13711",fontsize=16,color="green",shape="box"];42268[label="yuz13712",fontsize=16,color="green",shape="box"];42269[label="yuz1373 < yuz13710",fontsize=16,color="blue",shape="box"];43140[label="< :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];42269 -> 43140[label="",style="solid", color="blue", weight=9];
48.79/29.30	43140 -> 42322[label="",style="solid", color="blue", weight=3];
48.79/29.30	43141[label="< :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];42269 -> 43141[label="",style="solid", color="blue", weight=9];
48.79/29.30	43141 -> 42323[label="",style="solid", color="blue", weight=3];
48.79/29.30	43142[label="< :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];42269 -> 43142[label="",style="solid", color="blue", weight=9];
48.79/29.30	43142 -> 42324[label="",style="solid", color="blue", weight=3];
48.79/29.30	43143[label="< :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];42269 -> 43143[label="",style="solid", color="blue", weight=9];
48.79/29.30	43143 -> 42325[label="",style="solid", color="blue", weight=3];
48.79/29.30	43144[label="< :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];42269 -> 43144[label="",style="solid", color="blue", weight=9];
48.79/29.30	43144 -> 42326[label="",style="solid", color="blue", weight=3];
48.79/29.30	43145[label="< :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];42269 -> 43145[label="",style="solid", color="blue", weight=9];
48.79/29.30	43145 -> 42327[label="",style="solid", color="blue", weight=3];
48.79/29.30	43146[label="< :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];42269 -> 43146[label="",style="solid", color="blue", weight=9];
48.79/29.30	43146 -> 42328[label="",style="solid", color="blue", weight=3];
48.79/29.30	43147[label="< :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];42269 -> 43147[label="",style="solid", color="blue", weight=9];
48.79/29.30	43147 -> 42329[label="",style="solid", color="blue", weight=3];
48.79/29.30	43148[label="< :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];42269 -> 43148[label="",style="solid", color="blue", weight=9];
48.79/29.30	43148 -> 42330[label="",style="solid", color="blue", weight=3];
48.79/29.30	43149[label="< :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];42269 -> 43149[label="",style="solid", color="blue", weight=9];
48.79/29.30	43149 -> 42331[label="",style="solid", color="blue", weight=3];
48.79/29.30	43150[label="< :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];42269 -> 43150[label="",style="solid", color="blue", weight=9];
48.79/29.30	43150 -> 42332[label="",style="solid", color="blue", weight=3];
48.79/29.30	43151[label="< :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];42269 -> 43151[label="",style="solid", color="blue", weight=9];
48.79/29.30	43151 -> 42333[label="",style="solid", color="blue", weight=3];
48.79/29.30	43152[label="< :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];42269 -> 43152[label="",style="solid", color="blue", weight=9];
48.79/29.30	43152 -> 42334[label="",style="solid", color="blue", weight=3];
48.79/29.30	43153[label="< :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];42269 -> 43153[label="",style="solid", color="blue", weight=9];
48.79/29.30	43153 -> 42335[label="",style="solid", color="blue", weight=3];
48.79/29.30	42270[label="yuz13710",fontsize=16,color="green",shape="box"];42271[label="yuz13713",fontsize=16,color="green",shape="box"];42272[label="yuz13714",fontsize=16,color="green",shape="box"];39340[label="Succ yuz135800",fontsize=16,color="green",shape="box"];39341 -> 3802[label="",style="dashed", color="red", weight=0];
48.79/29.30	39341[label="primMulNat (Succ (Succ (Succ (Succ Zero)))) (Succ yuz135800)",fontsize=16,color="magenta"];39341 -> 39377[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39341 -> 39378[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	4451[label="primPlusNat yuz1520 yuz60100",fontsize=16,color="burlywood",shape="triangle"];43154[label="yuz1520/Succ yuz15200",fontsize=10,color="white",style="solid",shape="box"];4451 -> 43154[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43154 -> 4477[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43155[label="yuz1520/Zero",fontsize=10,color="white",style="solid",shape="box"];4451 -> 43155[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43155 -> 4478[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	17528[label="primCmpNat (Succ yuz23000) (Succ yuz1300000) == LT",fontsize=16,color="black",shape="box"];17528 -> 17575[label="",style="solid", color="black", weight=3];
48.79/29.30	17529[label="primCmpNat (Succ yuz23000) Zero == LT",fontsize=16,color="black",shape="box"];17529 -> 17576[label="",style="solid", color="black", weight=3];
48.79/29.30	17530[label="primCmpNat Zero (Succ yuz1300000) == LT",fontsize=16,color="black",shape="box"];17530 -> 17577[label="",style="solid", color="black", weight=3];
48.79/29.30	17531[label="primCmpNat Zero Zero == LT",fontsize=16,color="black",shape="box"];17531 -> 17578[label="",style="solid", color="black", weight=3];
48.79/29.30	17384[label="False",fontsize=16,color="green",shape="box"];20812[label="FiniteMap.Branch yuz1324 yuz1325 yuz1326 yuz1327 yuz1328",fontsize=16,color="green",shape="box"];20813[label="yuz1323",fontsize=16,color="green",shape="box"];20814[label="FiniteMap.Branch yuz1329 yuz1330 yuz1331 yuz1332 yuz1333",fontsize=16,color="green",shape="box"];20815[label="yuz1322",fontsize=16,color="green",shape="box"];20810[label="FiniteMap.mkBranchResult yuz140 yuz141 yuz1340 yuz144",fontsize=16,color="black",shape="triangle"];20810 -> 20859[label="",style="solid", color="black", weight=3];
48.79/29.30	42273[label="yuz144",fontsize=16,color="green",shape="box"];42274[label="yuz140",fontsize=16,color="green",shape="box"];42275[label="yuz141",fontsize=16,color="green",shape="box"];42276[label="yuz143",fontsize=16,color="green",shape="box"];42277[label="yuz142",fontsize=16,color="green",shape="box"];42309[label="yuz1433",fontsize=16,color="green",shape="box"];42310[label="yuz1431",fontsize=16,color="green",shape="box"];42311[label="yuz1432",fontsize=16,color="green",shape="box"];42312[label="yuz1434",fontsize=16,color="green",shape="box"];42313[label="yuz1430",fontsize=16,color="green",shape="box"];42314[label="yuz344",fontsize=16,color="green",shape="box"];42315[label="yuz1499",fontsize=16,color="green",shape="box"];39359[label="primPlusInt (Pos yuz14020) yuz1401",fontsize=16,color="burlywood",shape="box"];43156[label="yuz1401/Pos yuz14010",fontsize=10,color="white",style="solid",shape="box"];39359 -> 43156[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43156 -> 39488[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43157[label="yuz1401/Neg yuz14010",fontsize=10,color="white",style="solid",shape="box"];39359 -> 43157[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43157 -> 39489[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39360[label="primPlusInt (Neg yuz14020) yuz1401",fontsize=16,color="burlywood",shape="box"];43158[label="yuz1401/Pos yuz14010",fontsize=10,color="white",style="solid",shape="box"];39360 -> 43158[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43158 -> 39490[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43159[label="yuz1401/Neg yuz14010",fontsize=10,color="white",style="solid",shape="box"];39360 -> 43159[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43159 -> 39491[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	42316 -> 21005[label="",style="dashed", color="red", weight=0];
48.79/29.30	42316[label="FiniteMap.sIZE_RATIO * FiniteMap.mkBalBranch6Size_l yuz340 yuz341 yuz344 yuz1499",fontsize=16,color="magenta"];42316 -> 42358[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42317 -> 42256[label="",style="dashed", color="red", weight=0];
48.79/29.30	42317[label="FiniteMap.mkBalBranch6Size_r yuz340 yuz341 yuz344 yuz1499",fontsize=16,color="magenta"];42318[label="FiniteMap.mkBalBranch6MkBalBranch4 yuz340 yuz341 yuz344 yuz1499 yuz340 yuz341 yuz1499 yuz344 False",fontsize=16,color="black",shape="box"];42318 -> 42359[label="",style="solid", color="black", weight=3];
48.79/29.30	42319[label="FiniteMap.mkBalBranch6MkBalBranch4 yuz340 yuz341 yuz344 yuz1499 yuz340 yuz341 yuz1499 yuz344 True",fontsize=16,color="black",shape="box"];42319 -> 42360[label="",style="solid", color="black", weight=3];
48.79/29.30	42348[label="yuz1499",fontsize=16,color="green",shape="box"];42349[label="yuz341",fontsize=16,color="green",shape="box"];42350[label="yuz344",fontsize=16,color="green",shape="box"];42351[label="yuz340",fontsize=16,color="green",shape="box"];41938 -> 41947[label="",style="dashed", color="red", weight=0];
48.79/29.30	41938[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344) (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304) (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304) (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344) (FiniteMap.sizeFM (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344) > FiniteMap.sizeFM (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304))",fontsize=16,color="magenta"];41938 -> 41948[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42227[label="FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344",fontsize=16,color="green",shape="box"];42228[label="yuz3042",fontsize=16,color="green",shape="box"];42229[label="yuz341",fontsize=16,color="green",shape="box"];42230[label="yuz340",fontsize=16,color="green",shape="box"];42231[label="yuz344",fontsize=16,color="green",shape="box"];42232[label="yuz342",fontsize=16,color="green",shape="box"];42233[label="yuz3041",fontsize=16,color="green",shape="box"];42234[label="yuz343",fontsize=16,color="green",shape="box"];42235[label="yuz3043",fontsize=16,color="green",shape="box"];42236[label="yuz3044",fontsize=16,color="green",shape="box"];42237[label="yuz3040",fontsize=16,color="green",shape="box"];42352[label="yuz3430",fontsize=16,color="green",shape="box"];42353[label="yuz3433",fontsize=16,color="green",shape="box"];42354[label="yuz3434",fontsize=16,color="green",shape="box"];42355[label="yuz3431",fontsize=16,color="green",shape="box"];42356[label="yuz3432",fontsize=16,color="green",shape="box"];42357 -> 41890[label="",style="dashed", color="red", weight=0];
48.79/29.30	42357[label="FiniteMap.glueVBal3Size_l yuz300 yuz301 yuz302 yuz303 yuz304 yuz3430 yuz3431 yuz3432 yuz3433 yuz3434",fontsize=16,color="magenta"];42357 -> 42386[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42357 -> 42387[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42357 -> 42388[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42357 -> 42389[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42357 -> 42390[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39342[label="Pos yuz4010 * yuz600",fontsize=16,color="black",shape="triangle"];39342 -> 39387[label="",style="solid", color="black", weight=3];
48.79/29.30	39343[label="yuz400 * Pos yuz6010",fontsize=16,color="black",shape="triangle"];39343 -> 39388[label="",style="solid", color="black", weight=3];
48.79/29.30	39344[label="Neg yuz4010 * yuz600",fontsize=16,color="black",shape="triangle"];39344 -> 39389[label="",style="solid", color="black", weight=3];
48.79/29.30	39345 -> 39343[label="",style="dashed", color="red", weight=0];
48.79/29.30	39345[label="yuz400 * Pos yuz6010",fontsize=16,color="magenta"];39345 -> 39390[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39346 -> 39342[label="",style="dashed", color="red", weight=0];
48.79/29.30	39346[label="Pos yuz4010 * yuz600",fontsize=16,color="magenta"];39346 -> 39391[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39347[label="yuz400 * Neg yuz6010",fontsize=16,color="black",shape="triangle"];39347 -> 39392[label="",style="solid", color="black", weight=3];
48.79/29.30	39348 -> 39344[label="",style="dashed", color="red", weight=0];
48.79/29.30	39348[label="Neg yuz4010 * yuz600",fontsize=16,color="magenta"];39348 -> 39393[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39349 -> 39347[label="",style="dashed", color="red", weight=0];
48.79/29.30	39349[label="yuz400 * Neg yuz6010",fontsize=16,color="magenta"];39349 -> 39394[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39350[label="primCmpInt (Pos (Succ yuz137300)) yuz1368 == GT",fontsize=16,color="burlywood",shape="box"];43160[label="yuz1368/Pos yuz13680",fontsize=10,color="white",style="solid",shape="box"];39350 -> 43160[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43160 -> 39395[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43161[label="yuz1368/Neg yuz13680",fontsize=10,color="white",style="solid",shape="box"];39350 -> 43161[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43161 -> 39396[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39351[label="primCmpInt (Pos Zero) yuz1368 == GT",fontsize=16,color="burlywood",shape="box"];43162[label="yuz1368/Pos yuz13680",fontsize=10,color="white",style="solid",shape="box"];39351 -> 43162[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43162 -> 39397[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43163[label="yuz1368/Neg yuz13680",fontsize=10,color="white",style="solid",shape="box"];39351 -> 43163[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43163 -> 39398[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39352[label="primCmpInt (Neg (Succ yuz137300)) yuz1368 == GT",fontsize=16,color="burlywood",shape="box"];43164[label="yuz1368/Pos yuz13680",fontsize=10,color="white",style="solid",shape="box"];39352 -> 43164[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43164 -> 39399[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43165[label="yuz1368/Neg yuz13680",fontsize=10,color="white",style="solid",shape="box"];39352 -> 43165[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43165 -> 39400[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39353[label="primCmpInt (Neg Zero) yuz1368 == GT",fontsize=16,color="burlywood",shape="box"];43166[label="yuz1368/Pos yuz13680",fontsize=10,color="white",style="solid",shape="box"];39353 -> 43166[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43166 -> 39401[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43167[label="yuz1368/Neg yuz13680",fontsize=10,color="white",style="solid",shape="box"];39353 -> 43167[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43167 -> 39402[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39354[label="primCmpFloat (Float yuz13730 (Pos yuz137310)) yuz1368 == GT",fontsize=16,color="burlywood",shape="box"];43168[label="yuz1368/Float yuz13680 yuz13681",fontsize=10,color="white",style="solid",shape="box"];39354 -> 43168[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43168 -> 39403[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39355[label="primCmpFloat (Float yuz13730 (Neg yuz137310)) yuz1368 == GT",fontsize=16,color="burlywood",shape="box"];43169[label="yuz1368/Float yuz13680 yuz13681",fontsize=10,color="white",style="solid",shape="box"];39355 -> 43169[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43169 -> 39404[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39356[label="FiniteMap.addToFM0 yuz1388 yuz1393",fontsize=16,color="black",shape="box"];39356 -> 39405[label="",style="solid", color="black", weight=3];
48.79/29.30	42320[label="FiniteMap.emptyFM",fontsize=16,color="black",shape="triangle"];42320 -> 42361[label="",style="solid", color="black", weight=3];
48.79/29.30	42321 -> 42320[label="",style="dashed", color="red", weight=0];
48.79/29.30	42321[label="FiniteMap.emptyFM",fontsize=16,color="magenta"];42322[label="yuz1373 < yuz13710",fontsize=16,color="black",shape="box"];42322 -> 42362[label="",style="solid", color="black", weight=3];
48.79/29.30	42323[label="yuz1373 < yuz13710",fontsize=16,color="black",shape="box"];42323 -> 42363[label="",style="solid", color="black", weight=3];
48.79/29.30	42324[label="yuz1373 < yuz13710",fontsize=16,color="black",shape="box"];42324 -> 42364[label="",style="solid", color="black", weight=3];
48.79/29.30	42325[label="yuz1373 < yuz13710",fontsize=16,color="black",shape="box"];42325 -> 42365[label="",style="solid", color="black", weight=3];
48.79/29.30	42326[label="yuz1373 < yuz13710",fontsize=16,color="black",shape="box"];42326 -> 42366[label="",style="solid", color="black", weight=3];
48.79/29.30	42327[label="yuz1373 < yuz13710",fontsize=16,color="black",shape="box"];42327 -> 42367[label="",style="solid", color="black", weight=3];
48.79/29.30	42328[label="yuz1373 < yuz13710",fontsize=16,color="black",shape="box"];42328 -> 42368[label="",style="solid", color="black", weight=3];
48.79/29.30	42329 -> 14332[label="",style="dashed", color="red", weight=0];
48.79/29.30	42329[label="yuz1373 < yuz13710",fontsize=16,color="magenta"];42329 -> 42369[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42329 -> 42370[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42330[label="yuz1373 < yuz13710",fontsize=16,color="black",shape="box"];42330 -> 42371[label="",style="solid", color="black", weight=3];
48.79/29.30	42331[label="yuz1373 < yuz13710",fontsize=16,color="black",shape="box"];42331 -> 42372[label="",style="solid", color="black", weight=3];
48.79/29.30	42332[label="yuz1373 < yuz13710",fontsize=16,color="black",shape="box"];42332 -> 42373[label="",style="solid", color="black", weight=3];
48.79/29.30	42333 -> 21037[label="",style="dashed", color="red", weight=0];
48.79/29.30	42333[label="yuz1373 < yuz13710",fontsize=16,color="magenta"];42333 -> 42374[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42333 -> 42375[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42334[label="yuz1373 < yuz13710",fontsize=16,color="black",shape="box"];42334 -> 42376[label="",style="solid", color="black", weight=3];
48.79/29.30	42335[label="yuz1373 < yuz13710",fontsize=16,color="black",shape="box"];42335 -> 42377[label="",style="solid", color="black", weight=3];
48.79/29.30	39377[label="Succ (Succ (Succ (Succ Zero)))",fontsize=16,color="green",shape="box"];39378[label="yuz135800",fontsize=16,color="green",shape="box"];3802[label="primMulNat yuz40000 (Succ yuz60100)",fontsize=16,color="burlywood",shape="triangle"];43170[label="yuz40000/Succ yuz400000",fontsize=10,color="white",style="solid",shape="box"];3802 -> 43170[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43170 -> 3955[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43171[label="yuz40000/Zero",fontsize=10,color="white",style="solid",shape="box"];3802 -> 43171[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43171 -> 3956[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	4477[label="primPlusNat (Succ yuz15200) yuz60100",fontsize=16,color="burlywood",shape="box"];43172[label="yuz60100/Succ yuz601000",fontsize=10,color="white",style="solid",shape="box"];4477 -> 43172[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43172 -> 4485[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43173[label="yuz60100/Zero",fontsize=10,color="white",style="solid",shape="box"];4477 -> 43173[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43173 -> 4486[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	4478[label="primPlusNat Zero yuz60100",fontsize=16,color="burlywood",shape="box"];43174[label="yuz60100/Succ yuz601000",fontsize=10,color="white",style="solid",shape="box"];4478 -> 43174[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43174 -> 4487[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43175[label="yuz60100/Zero",fontsize=10,color="white",style="solid",shape="box"];4478 -> 43175[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43175 -> 4488[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	17575 -> 17437[label="",style="dashed", color="red", weight=0];
48.79/29.30	17575[label="primCmpNat yuz23000 yuz1300000 == LT",fontsize=16,color="magenta"];17575 -> 17609[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	17575 -> 17610[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	17576 -> 17438[label="",style="dashed", color="red", weight=0];
48.79/29.30	17576[label="GT == LT",fontsize=16,color="magenta"];17577 -> 17248[label="",style="dashed", color="red", weight=0];
48.79/29.30	17577[label="LT == LT",fontsize=16,color="magenta"];17578 -> 17254[label="",style="dashed", color="red", weight=0];
48.79/29.30	17578[label="EQ == LT",fontsize=16,color="magenta"];20859[label="FiniteMap.Branch yuz140 yuz141 (FiniteMap.mkBranchUnbox yuz1340 yuz140 yuz144 (Pos (Succ Zero) + FiniteMap.mkBranchLeft_size yuz1340 yuz140 yuz144 + FiniteMap.mkBranchRight_size yuz1340 yuz140 yuz144)) yuz1340 yuz144",fontsize=16,color="green",shape="box"];20859 -> 20914[label="",style="dashed", color="green", weight=3];
48.79/29.30	39488[label="primPlusInt (Pos yuz14020) (Pos yuz14010)",fontsize=16,color="black",shape="box"];39488 -> 39576[label="",style="solid", color="black", weight=3];
48.79/29.30	39489[label="primPlusInt (Pos yuz14020) (Neg yuz14010)",fontsize=16,color="black",shape="box"];39489 -> 39577[label="",style="solid", color="black", weight=3];
48.79/29.30	39490[label="primPlusInt (Neg yuz14020) (Pos yuz14010)",fontsize=16,color="black",shape="box"];39490 -> 39578[label="",style="solid", color="black", weight=3];
48.79/29.30	39491[label="primPlusInt (Neg yuz14020) (Neg yuz14010)",fontsize=16,color="black",shape="box"];39491 -> 39579[label="",style="solid", color="black", weight=3];
48.79/29.30	42358 -> 42257[label="",style="dashed", color="red", weight=0];
48.79/29.30	42358[label="FiniteMap.mkBalBranch6Size_l yuz340 yuz341 yuz344 yuz1499",fontsize=16,color="magenta"];42359 -> 42391[label="",style="dashed", color="red", weight=0];
48.79/29.30	42359[label="FiniteMap.mkBalBranch6MkBalBranch3 yuz340 yuz341 yuz344 yuz1499 yuz340 yuz341 yuz1499 yuz344 (FiniteMap.mkBalBranch6Size_l yuz340 yuz341 yuz344 yuz1499 > FiniteMap.sIZE_RATIO * FiniteMap.mkBalBranch6Size_r yuz340 yuz341 yuz344 yuz1499)",fontsize=16,color="magenta"];42359 -> 42392[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42360[label="FiniteMap.mkBalBranch6MkBalBranch0 yuz340 yuz341 yuz344 yuz1499 yuz1499 yuz344 yuz344",fontsize=16,color="burlywood",shape="box"];43176[label="yuz344/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];42360 -> 43176[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43176 -> 42393[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43177[label="yuz344/FiniteMap.Branch yuz3440 yuz3441 yuz3442 yuz3443 yuz3444",fontsize=10,color="white",style="solid",shape="box"];42360 -> 43177[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43177 -> 42394[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	41948 -> 39234[label="",style="dashed", color="red", weight=0];
48.79/29.30	41948[label="FiniteMap.sizeFM (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344) > FiniteMap.sizeFM (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304)",fontsize=16,color="magenta"];41948 -> 41960[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	41948 -> 41961[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	41947[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344) (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304) (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304) (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344) yuz1488",fontsize=16,color="burlywood",shape="triangle"];43178[label="yuz1488/False",fontsize=10,color="white",style="solid",shape="box"];41947 -> 43178[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43178 -> 41962[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43179[label="yuz1488/True",fontsize=10,color="white",style="solid",shape="box"];41947 -> 43179[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43179 -> 41963[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	42386[label="yuz3430",fontsize=16,color="green",shape="box"];42387[label="yuz3433",fontsize=16,color="green",shape="box"];42388[label="yuz3434",fontsize=16,color="green",shape="box"];42389[label="yuz3431",fontsize=16,color="green",shape="box"];42390[label="yuz3432",fontsize=16,color="green",shape="box"];39387[label="primMulInt (Pos yuz4010) yuz600",fontsize=16,color="burlywood",shape="box"];43180[label="yuz600/Pos yuz6000",fontsize=10,color="white",style="solid",shape="box"];39387 -> 43180[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43180 -> 39502[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43181[label="yuz600/Neg yuz6000",fontsize=10,color="white",style="solid",shape="box"];39387 -> 43181[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43181 -> 39503[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39388[label="primMulInt yuz400 (Pos yuz6010)",fontsize=16,color="burlywood",shape="box"];43182[label="yuz400/Pos yuz4000",fontsize=10,color="white",style="solid",shape="box"];39388 -> 43182[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43182 -> 39504[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43183[label="yuz400/Neg yuz4000",fontsize=10,color="white",style="solid",shape="box"];39388 -> 43183[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43183 -> 39505[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39389[label="primMulInt (Neg yuz4010) yuz600",fontsize=16,color="burlywood",shape="box"];43184[label="yuz600/Pos yuz6000",fontsize=10,color="white",style="solid",shape="box"];39389 -> 43184[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43184 -> 39506[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43185[label="yuz600/Neg yuz6000",fontsize=10,color="white",style="solid",shape="box"];39389 -> 43185[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43185 -> 39507[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39390[label="yuz6010",fontsize=16,color="green",shape="box"];39391[label="yuz4010",fontsize=16,color="green",shape="box"];39392[label="primMulInt yuz400 (Neg yuz6010)",fontsize=16,color="burlywood",shape="box"];43186[label="yuz400/Pos yuz4000",fontsize=10,color="white",style="solid",shape="box"];39392 -> 43186[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43186 -> 39508[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43187[label="yuz400/Neg yuz4000",fontsize=10,color="white",style="solid",shape="box"];39392 -> 43187[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43187 -> 39509[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39393[label="yuz4010",fontsize=16,color="green",shape="box"];39394[label="yuz6010",fontsize=16,color="green",shape="box"];39395[label="primCmpInt (Pos (Succ yuz137300)) (Pos yuz13680) == GT",fontsize=16,color="black",shape="box"];39395 -> 39510[label="",style="solid", color="black", weight=3];
48.79/29.30	39396[label="primCmpInt (Pos (Succ yuz137300)) (Neg yuz13680) == GT",fontsize=16,color="black",shape="box"];39396 -> 39511[label="",style="solid", color="black", weight=3];
48.79/29.30	39397[label="primCmpInt (Pos Zero) (Pos yuz13680) == GT",fontsize=16,color="burlywood",shape="box"];43188[label="yuz13680/Succ yuz136800",fontsize=10,color="white",style="solid",shape="box"];39397 -> 43188[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43188 -> 39512[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43189[label="yuz13680/Zero",fontsize=10,color="white",style="solid",shape="box"];39397 -> 43189[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43189 -> 39513[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39398[label="primCmpInt (Pos Zero) (Neg yuz13680) == GT",fontsize=16,color="burlywood",shape="box"];43190[label="yuz13680/Succ yuz136800",fontsize=10,color="white",style="solid",shape="box"];39398 -> 43190[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43190 -> 39514[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43191[label="yuz13680/Zero",fontsize=10,color="white",style="solid",shape="box"];39398 -> 43191[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43191 -> 39515[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39399[label="primCmpInt (Neg (Succ yuz137300)) (Pos yuz13680) == GT",fontsize=16,color="black",shape="box"];39399 -> 39516[label="",style="solid", color="black", weight=3];
48.79/29.30	39400[label="primCmpInt (Neg (Succ yuz137300)) (Neg yuz13680) == GT",fontsize=16,color="black",shape="box"];39400 -> 39517[label="",style="solid", color="black", weight=3];
48.79/29.30	39401[label="primCmpInt (Neg Zero) (Pos yuz13680) == GT",fontsize=16,color="burlywood",shape="box"];43192[label="yuz13680/Succ yuz136800",fontsize=10,color="white",style="solid",shape="box"];39401 -> 43192[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43192 -> 39518[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43193[label="yuz13680/Zero",fontsize=10,color="white",style="solid",shape="box"];39401 -> 43193[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43193 -> 39519[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39402[label="primCmpInt (Neg Zero) (Neg yuz13680) == GT",fontsize=16,color="burlywood",shape="box"];43194[label="yuz13680/Succ yuz136800",fontsize=10,color="white",style="solid",shape="box"];39402 -> 43194[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43194 -> 39520[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43195[label="yuz13680/Zero",fontsize=10,color="white",style="solid",shape="box"];39402 -> 43195[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43195 -> 39521[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39403[label="primCmpFloat (Float yuz13730 (Pos yuz137310)) (Float yuz13680 yuz13681) == GT",fontsize=16,color="burlywood",shape="box"];43196[label="yuz13681/Pos yuz136810",fontsize=10,color="white",style="solid",shape="box"];39403 -> 43196[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43196 -> 39522[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43197[label="yuz13681/Neg yuz136810",fontsize=10,color="white",style="solid",shape="box"];39403 -> 43197[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43197 -> 39523[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39404[label="primCmpFloat (Float yuz13730 (Neg yuz137310)) (Float yuz13680 yuz13681) == GT",fontsize=16,color="burlywood",shape="box"];43198[label="yuz13681/Pos yuz136810",fontsize=10,color="white",style="solid",shape="box"];39404 -> 43198[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43198 -> 39524[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43199[label="yuz13681/Neg yuz136810",fontsize=10,color="white",style="solid",shape="box"];39404 -> 43199[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43199 -> 39525[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39405[label="yuz1393",fontsize=16,color="green",shape="box"];42361[label="FiniteMap.EmptyFM",fontsize=16,color="green",shape="box"];42362[label="compare yuz1373 yuz13710 == LT",fontsize=16,color="black",shape="box"];42362 -> 42395[label="",style="solid", color="black", weight=3];
48.79/29.30	42363[label="compare yuz1373 yuz13710 == LT",fontsize=16,color="black",shape="box"];42363 -> 42396[label="",style="solid", color="black", weight=3];
48.79/29.30	42364[label="compare yuz1373 yuz13710 == LT",fontsize=16,color="black",shape="box"];42364 -> 42397[label="",style="solid", color="black", weight=3];
48.79/29.30	42365[label="compare yuz1373 yuz13710 == LT",fontsize=16,color="black",shape="box"];42365 -> 42398[label="",style="solid", color="black", weight=3];
48.79/29.30	42366[label="compare yuz1373 yuz13710 == LT",fontsize=16,color="black",shape="box"];42366 -> 42399[label="",style="solid", color="black", weight=3];
48.79/29.30	42367[label="compare yuz1373 yuz13710 == LT",fontsize=16,color="black",shape="box"];42367 -> 42400[label="",style="solid", color="black", weight=3];
48.79/29.30	42368[label="compare yuz1373 yuz13710 == LT",fontsize=16,color="black",shape="box"];42368 -> 42401[label="",style="solid", color="black", weight=3];
48.79/29.30	42369[label="yuz13710",fontsize=16,color="green",shape="box"];42370[label="yuz1373",fontsize=16,color="green",shape="box"];42371[label="compare yuz1373 yuz13710 == LT",fontsize=16,color="black",shape="box"];42371 -> 42402[label="",style="solid", color="black", weight=3];
48.79/29.30	42372[label="compare yuz1373 yuz13710 == LT",fontsize=16,color="black",shape="box"];42372 -> 42403[label="",style="solid", color="black", weight=3];
48.79/29.30	42373[label="compare yuz1373 yuz13710 == LT",fontsize=16,color="black",shape="box"];42373 -> 42404[label="",style="solid", color="black", weight=3];
48.79/29.30	42374[label="yuz13710",fontsize=16,color="green",shape="box"];42375[label="yuz1373",fontsize=16,color="green",shape="box"];42376[label="compare yuz1373 yuz13710 == LT",fontsize=16,color="black",shape="box"];42376 -> 42405[label="",style="solid", color="black", weight=3];
48.79/29.30	42377[label="compare yuz1373 yuz13710 == LT",fontsize=16,color="black",shape="box"];42377 -> 42406[label="",style="solid", color="black", weight=3];
48.79/29.30	3955[label="primMulNat (Succ yuz400000) (Succ yuz60100)",fontsize=16,color="black",shape="box"];3955 -> 4168[label="",style="solid", color="black", weight=3];
48.79/29.30	3956[label="primMulNat Zero (Succ yuz60100)",fontsize=16,color="black",shape="box"];3956 -> 4169[label="",style="solid", color="black", weight=3];
48.79/29.30	4485[label="primPlusNat (Succ yuz15200) (Succ yuz601000)",fontsize=16,color="black",shape="box"];4485 -> 4491[label="",style="solid", color="black", weight=3];
48.79/29.30	4486[label="primPlusNat (Succ yuz15200) Zero",fontsize=16,color="black",shape="box"];4486 -> 4492[label="",style="solid", color="black", weight=3];
48.79/29.30	4487[label="primPlusNat Zero (Succ yuz601000)",fontsize=16,color="black",shape="box"];4487 -> 4493[label="",style="solid", color="black", weight=3];
48.79/29.30	4488[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];4488 -> 4494[label="",style="solid", color="black", weight=3];
48.79/29.30	17609[label="yuz23000",fontsize=16,color="green",shape="box"];17610[label="yuz1300000",fontsize=16,color="green",shape="box"];20914[label="FiniteMap.mkBranchUnbox yuz1340 yuz140 yuz144 (Pos (Succ Zero) + FiniteMap.mkBranchLeft_size yuz1340 yuz140 yuz144 + FiniteMap.mkBranchRight_size yuz1340 yuz140 yuz144)",fontsize=16,color="black",shape="box"];20914 -> 20967[label="",style="solid", color="black", weight=3];
48.79/29.30	39576[label="Pos (primPlusNat yuz14020 yuz14010)",fontsize=16,color="green",shape="box"];39576 -> 39739[label="",style="dashed", color="green", weight=3];
48.79/29.30	39577[label="primMinusNat yuz14020 yuz14010",fontsize=16,color="burlywood",shape="triangle"];43200[label="yuz14020/Succ yuz140200",fontsize=10,color="white",style="solid",shape="box"];39577 -> 43200[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43200 -> 39740[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43201[label="yuz14020/Zero",fontsize=10,color="white",style="solid",shape="box"];39577 -> 43201[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43201 -> 39741[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39578 -> 39577[label="",style="dashed", color="red", weight=0];
48.79/29.30	39578[label="primMinusNat yuz14010 yuz14020",fontsize=16,color="magenta"];39578 -> 39742[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39578 -> 39743[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39579[label="Neg (primPlusNat yuz14020 yuz14010)",fontsize=16,color="green",shape="box"];39579 -> 39744[label="",style="dashed", color="green", weight=3];
48.79/29.30	42392 -> 39234[label="",style="dashed", color="red", weight=0];
48.79/29.30	42392[label="FiniteMap.mkBalBranch6Size_l yuz340 yuz341 yuz344 yuz1499 > FiniteMap.sIZE_RATIO * FiniteMap.mkBalBranch6Size_r yuz340 yuz341 yuz344 yuz1499",fontsize=16,color="magenta"];42392 -> 42407[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42392 -> 42408[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42391[label="FiniteMap.mkBalBranch6MkBalBranch3 yuz340 yuz341 yuz344 yuz1499 yuz340 yuz341 yuz1499 yuz344 yuz1506",fontsize=16,color="burlywood",shape="triangle"];43202[label="yuz1506/False",fontsize=10,color="white",style="solid",shape="box"];42391 -> 43202[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43202 -> 42409[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43203[label="yuz1506/True",fontsize=10,color="white",style="solid",shape="box"];42391 -> 43203[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43203 -> 42410[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	42393[label="FiniteMap.mkBalBranch6MkBalBranch0 yuz340 yuz341 FiniteMap.EmptyFM yuz1499 yuz1499 FiniteMap.EmptyFM FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];42393 -> 42423[label="",style="solid", color="black", weight=3];
48.79/29.30	42394[label="FiniteMap.mkBalBranch6MkBalBranch0 yuz340 yuz341 (FiniteMap.Branch yuz3440 yuz3441 yuz3442 yuz3443 yuz3444) yuz1499 yuz1499 (FiniteMap.Branch yuz3440 yuz3441 yuz3442 yuz3443 yuz3444) (FiniteMap.Branch yuz3440 yuz3441 yuz3442 yuz3443 yuz3444)",fontsize=16,color="black",shape="box"];42394 -> 42424[label="",style="solid", color="black", weight=3];
48.79/29.30	41960 -> 20741[label="",style="dashed", color="red", weight=0];
48.79/29.30	41960[label="FiniteMap.sizeFM (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304)",fontsize=16,color="magenta"];41960 -> 41989[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	41961 -> 20741[label="",style="dashed", color="red", weight=0];
48.79/29.30	41961[label="FiniteMap.sizeFM (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344)",fontsize=16,color="magenta"];41961 -> 41990[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	41962[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344) (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304) (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304) (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344) False",fontsize=16,color="black",shape="box"];41962 -> 41991[label="",style="solid", color="black", weight=3];
48.79/29.30	41963[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344) (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304) (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304) (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344) True",fontsize=16,color="black",shape="box"];41963 -> 41992[label="",style="solid", color="black", weight=3];
48.79/29.30	39502[label="primMulInt (Pos yuz4010) (Pos yuz6000)",fontsize=16,color="black",shape="box"];39502 -> 39592[label="",style="solid", color="black", weight=3];
48.79/29.30	39503[label="primMulInt (Pos yuz4010) (Neg yuz6000)",fontsize=16,color="black",shape="box"];39503 -> 39593[label="",style="solid", color="black", weight=3];
48.79/29.30	39504[label="primMulInt (Pos yuz4000) (Pos yuz6010)",fontsize=16,color="black",shape="box"];39504 -> 39594[label="",style="solid", color="black", weight=3];
48.79/29.30	39505[label="primMulInt (Neg yuz4000) (Pos yuz6010)",fontsize=16,color="black",shape="box"];39505 -> 39595[label="",style="solid", color="black", weight=3];
48.79/29.30	39506[label="primMulInt (Neg yuz4010) (Pos yuz6000)",fontsize=16,color="black",shape="box"];39506 -> 39596[label="",style="solid", color="black", weight=3];
48.79/29.30	39507[label="primMulInt (Neg yuz4010) (Neg yuz6000)",fontsize=16,color="black",shape="box"];39507 -> 39597[label="",style="solid", color="black", weight=3];
48.79/29.30	39508[label="primMulInt (Pos yuz4000) (Neg yuz6010)",fontsize=16,color="black",shape="box"];39508 -> 39598[label="",style="solid", color="black", weight=3];
48.79/29.30	39509[label="primMulInt (Neg yuz4000) (Neg yuz6010)",fontsize=16,color="black",shape="box"];39509 -> 39599[label="",style="solid", color="black", weight=3];
48.79/29.30	39510[label="primCmpNat (Succ yuz137300) yuz13680 == GT",fontsize=16,color="burlywood",shape="triangle"];43204[label="yuz13680/Succ yuz136800",fontsize=10,color="white",style="solid",shape="box"];39510 -> 43204[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43204 -> 39600[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43205[label="yuz13680/Zero",fontsize=10,color="white",style="solid",shape="box"];39510 -> 43205[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43205 -> 39601[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39511[label="GT == GT",fontsize=16,color="black",shape="triangle"];39511 -> 39602[label="",style="solid", color="black", weight=3];
48.79/29.30	39512[label="primCmpInt (Pos Zero) (Pos (Succ yuz136800)) == GT",fontsize=16,color="black",shape="box"];39512 -> 39603[label="",style="solid", color="black", weight=3];
48.79/29.30	39513[label="primCmpInt (Pos Zero) (Pos Zero) == GT",fontsize=16,color="black",shape="box"];39513 -> 39604[label="",style="solid", color="black", weight=3];
48.79/29.30	39514[label="primCmpInt (Pos Zero) (Neg (Succ yuz136800)) == GT",fontsize=16,color="black",shape="box"];39514 -> 39605[label="",style="solid", color="black", weight=3];
48.79/29.30	39515[label="primCmpInt (Pos Zero) (Neg Zero) == GT",fontsize=16,color="black",shape="box"];39515 -> 39606[label="",style="solid", color="black", weight=3];
48.79/29.30	39516[label="LT == GT",fontsize=16,color="black",shape="triangle"];39516 -> 39607[label="",style="solid", color="black", weight=3];
48.79/29.30	39517[label="primCmpNat yuz13680 (Succ yuz137300) == GT",fontsize=16,color="burlywood",shape="triangle"];43206[label="yuz13680/Succ yuz136800",fontsize=10,color="white",style="solid",shape="box"];39517 -> 43206[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43206 -> 39608[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43207[label="yuz13680/Zero",fontsize=10,color="white",style="solid",shape="box"];39517 -> 43207[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43207 -> 39609[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39518[label="primCmpInt (Neg Zero) (Pos (Succ yuz136800)) == GT",fontsize=16,color="black",shape="box"];39518 -> 39610[label="",style="solid", color="black", weight=3];
48.79/29.30	39519[label="primCmpInt (Neg Zero) (Pos Zero) == GT",fontsize=16,color="black",shape="box"];39519 -> 39611[label="",style="solid", color="black", weight=3];
48.79/29.30	39520[label="primCmpInt (Neg Zero) (Neg (Succ yuz136800)) == GT",fontsize=16,color="black",shape="box"];39520 -> 39612[label="",style="solid", color="black", weight=3];
48.79/29.30	39521[label="primCmpInt (Neg Zero) (Neg Zero) == GT",fontsize=16,color="black",shape="box"];39521 -> 39613[label="",style="solid", color="black", weight=3];
48.79/29.30	39522[label="primCmpFloat (Float yuz13730 (Pos yuz137310)) (Float yuz13680 (Pos yuz136810)) == GT",fontsize=16,color="black",shape="box"];39522 -> 39614[label="",style="solid", color="black", weight=3];
48.79/29.30	39523[label="primCmpFloat (Float yuz13730 (Pos yuz137310)) (Float yuz13680 (Neg yuz136810)) == GT",fontsize=16,color="black",shape="box"];39523 -> 39615[label="",style="solid", color="black", weight=3];
48.79/29.30	39524[label="primCmpFloat (Float yuz13730 (Neg yuz137310)) (Float yuz13680 (Pos yuz136810)) == GT",fontsize=16,color="black",shape="box"];39524 -> 39616[label="",style="solid", color="black", weight=3];
48.79/29.30	39525[label="primCmpFloat (Float yuz13730 (Neg yuz137310)) (Float yuz13680 (Neg yuz136810)) == GT",fontsize=16,color="black",shape="box"];39525 -> 39617[label="",style="solid", color="black", weight=3];
48.79/29.30	42395[label="error []",fontsize=16,color="red",shape="box"];42396[label="error []",fontsize=16,color="red",shape="box"];42397[label="error []",fontsize=16,color="red",shape="box"];42398[label="error []",fontsize=16,color="red",shape="box"];42399[label="error []",fontsize=16,color="red",shape="box"];42400[label="error []",fontsize=16,color="red",shape="box"];42401[label="error []",fontsize=16,color="red",shape="box"];42402[label="error []",fontsize=16,color="red",shape="box"];42403[label="error []",fontsize=16,color="red",shape="box"];42404[label="error []",fontsize=16,color="red",shape="box"];42405[label="error []",fontsize=16,color="red",shape="box"];42406[label="error []",fontsize=16,color="red",shape="box"];4168 -> 4376[label="",style="dashed", color="red", weight=0];
48.79/29.30	4168[label="primPlusNat (primMulNat yuz400000 (Succ yuz60100)) (Succ yuz60100)",fontsize=16,color="magenta"];4168 -> 4393[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	4169[label="Zero",fontsize=16,color="green",shape="box"];4491[label="Succ (Succ (primPlusNat yuz15200 yuz601000))",fontsize=16,color="green",shape="box"];4491 -> 4499[label="",style="dashed", color="green", weight=3];
48.79/29.30	4492[label="Succ yuz15200",fontsize=16,color="green",shape="box"];4493[label="Succ yuz601000",fontsize=16,color="green",shape="box"];4494[label="Zero",fontsize=16,color="green",shape="box"];20967 -> 39311[label="",style="dashed", color="red", weight=0];
48.79/29.30	20967[label="Pos (Succ Zero) + FiniteMap.mkBranchLeft_size yuz1340 yuz140 yuz144 + FiniteMap.mkBranchRight_size yuz1340 yuz140 yuz144",fontsize=16,color="magenta"];20967 -> 39322[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	20967 -> 39323[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39739 -> 4451[label="",style="dashed", color="red", weight=0];
48.79/29.30	39739[label="primPlusNat yuz14020 yuz14010",fontsize=16,color="magenta"];39739 -> 39852[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39739 -> 39853[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39740[label="primMinusNat (Succ yuz140200) yuz14010",fontsize=16,color="burlywood",shape="box"];43208[label="yuz14010/Succ yuz140100",fontsize=10,color="white",style="solid",shape="box"];39740 -> 43208[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43208 -> 39854[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43209[label="yuz14010/Zero",fontsize=10,color="white",style="solid",shape="box"];39740 -> 43209[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43209 -> 39855[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39741[label="primMinusNat Zero yuz14010",fontsize=16,color="burlywood",shape="box"];43210[label="yuz14010/Succ yuz140100",fontsize=10,color="white",style="solid",shape="box"];39741 -> 43210[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43210 -> 39856[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43211[label="yuz14010/Zero",fontsize=10,color="white",style="solid",shape="box"];39741 -> 43211[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43211 -> 39857[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39742[label="yuz14010",fontsize=16,color="green",shape="box"];39743[label="yuz14020",fontsize=16,color="green",shape="box"];39744 -> 4451[label="",style="dashed", color="red", weight=0];
48.79/29.30	39744[label="primPlusNat yuz14020 yuz14010",fontsize=16,color="magenta"];39744 -> 39858[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39744 -> 39859[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42407 -> 21005[label="",style="dashed", color="red", weight=0];
48.79/29.30	42407[label="FiniteMap.sIZE_RATIO * FiniteMap.mkBalBranch6Size_r yuz340 yuz341 yuz344 yuz1499",fontsize=16,color="magenta"];42407 -> 42425[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42408 -> 42257[label="",style="dashed", color="red", weight=0];
48.79/29.30	42408[label="FiniteMap.mkBalBranch6Size_l yuz340 yuz341 yuz344 yuz1499",fontsize=16,color="magenta"];42409[label="FiniteMap.mkBalBranch6MkBalBranch3 yuz340 yuz341 yuz344 yuz1499 yuz340 yuz341 yuz1499 yuz344 False",fontsize=16,color="black",shape="box"];42409 -> 42426[label="",style="solid", color="black", weight=3];
48.79/29.30	42410[label="FiniteMap.mkBalBranch6MkBalBranch3 yuz340 yuz341 yuz344 yuz1499 yuz340 yuz341 yuz1499 yuz344 True",fontsize=16,color="black",shape="box"];42410 -> 42427[label="",style="solid", color="black", weight=3];
48.79/29.30	42423[label="error []",fontsize=16,color="red",shape="box"];42424[label="FiniteMap.mkBalBranch6MkBalBranch02 yuz340 yuz341 (FiniteMap.Branch yuz3440 yuz3441 yuz3442 yuz3443 yuz3444) yuz1499 yuz1499 (FiniteMap.Branch yuz3440 yuz3441 yuz3442 yuz3443 yuz3444) (FiniteMap.Branch yuz3440 yuz3441 yuz3442 yuz3443 yuz3444)",fontsize=16,color="black",shape="box"];42424 -> 42436[label="",style="solid", color="black", weight=3];
48.79/29.30	41989[label="FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304",fontsize=16,color="green",shape="box"];41990[label="FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344",fontsize=16,color="green",shape="box"];41991[label="FiniteMap.glueBal2GlueBal0 (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344) (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304) (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304) (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344) otherwise",fontsize=16,color="black",shape="box"];41991 -> 42003[label="",style="solid", color="black", weight=3];
48.79/29.30	41992 -> 42125[label="",style="dashed", color="red", weight=0];
48.79/29.30	41992[label="FiniteMap.mkBalBranch (FiniteMap.glueBal2Mid_key2 (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344) (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304)) (FiniteMap.glueBal2Mid_elt2 (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344) (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304)) (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304) (FiniteMap.deleteMin (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344))",fontsize=16,color="magenta"];41992 -> 42147[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	41992 -> 42148[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	41992 -> 42149[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	41992 -> 42150[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39592[label="Pos (primMulNat yuz4010 yuz6000)",fontsize=16,color="green",shape="box"];39592 -> 39765[label="",style="dashed", color="green", weight=3];
48.79/29.30	39593[label="Neg (primMulNat yuz4010 yuz6000)",fontsize=16,color="green",shape="box"];39593 -> 39766[label="",style="dashed", color="green", weight=3];
48.79/29.30	39594[label="Pos (primMulNat yuz4000 yuz6010)",fontsize=16,color="green",shape="box"];39594 -> 39767[label="",style="dashed", color="green", weight=3];
48.79/29.30	39595[label="Neg (primMulNat yuz4000 yuz6010)",fontsize=16,color="green",shape="box"];39595 -> 39768[label="",style="dashed", color="green", weight=3];
48.79/29.30	39596[label="Neg (primMulNat yuz4010 yuz6000)",fontsize=16,color="green",shape="box"];39596 -> 39769[label="",style="dashed", color="green", weight=3];
48.79/29.30	39597[label="Pos (primMulNat yuz4010 yuz6000)",fontsize=16,color="green",shape="box"];39597 -> 39770[label="",style="dashed", color="green", weight=3];
48.79/29.30	39598[label="Neg (primMulNat yuz4000 yuz6010)",fontsize=16,color="green",shape="box"];39598 -> 39771[label="",style="dashed", color="green", weight=3];
48.79/29.30	39599[label="Pos (primMulNat yuz4000 yuz6010)",fontsize=16,color="green",shape="box"];39599 -> 39772[label="",style="dashed", color="green", weight=3];
48.79/29.30	39600[label="primCmpNat (Succ yuz137300) (Succ yuz136800) == GT",fontsize=16,color="black",shape="box"];39600 -> 39773[label="",style="solid", color="black", weight=3];
48.79/29.30	39601[label="primCmpNat (Succ yuz137300) Zero == GT",fontsize=16,color="black",shape="box"];39601 -> 39774[label="",style="solid", color="black", weight=3];
48.79/29.30	39602[label="True",fontsize=16,color="green",shape="box"];39603 -> 39517[label="",style="dashed", color="red", weight=0];
48.79/29.30	39603[label="primCmpNat Zero (Succ yuz136800) == GT",fontsize=16,color="magenta"];39603 -> 39775[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39603 -> 39776[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39604[label="EQ == GT",fontsize=16,color="black",shape="triangle"];39604 -> 39777[label="",style="solid", color="black", weight=3];
48.79/29.30	39605 -> 39511[label="",style="dashed", color="red", weight=0];
48.79/29.30	39605[label="GT == GT",fontsize=16,color="magenta"];39606 -> 39604[label="",style="dashed", color="red", weight=0];
48.79/29.30	39606[label="EQ == GT",fontsize=16,color="magenta"];39607[label="False",fontsize=16,color="green",shape="box"];39608[label="primCmpNat (Succ yuz136800) (Succ yuz137300) == GT",fontsize=16,color="black",shape="box"];39608 -> 39778[label="",style="solid", color="black", weight=3];
48.79/29.30	39609[label="primCmpNat Zero (Succ yuz137300) == GT",fontsize=16,color="black",shape="box"];39609 -> 39779[label="",style="solid", color="black", weight=3];
48.79/29.30	39610 -> 39516[label="",style="dashed", color="red", weight=0];
48.79/29.30	39610[label="LT == GT",fontsize=16,color="magenta"];39611 -> 39604[label="",style="dashed", color="red", weight=0];
48.79/29.30	39611[label="EQ == GT",fontsize=16,color="magenta"];39612 -> 39510[label="",style="dashed", color="red", weight=0];
48.79/29.30	39612[label="primCmpNat (Succ yuz136800) Zero == GT",fontsize=16,color="magenta"];39612 -> 39780[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39612 -> 39781[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39613 -> 39604[label="",style="dashed", color="red", weight=0];
48.79/29.30	39613[label="EQ == GT",fontsize=16,color="magenta"];39614 -> 39257[label="",style="dashed", color="red", weight=0];
48.79/29.30	39614[label="compare (yuz13730 * Pos yuz136810) (Pos yuz137310 * yuz13680) == GT",fontsize=16,color="magenta"];39614 -> 39782[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39614 -> 39783[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39615 -> 39257[label="",style="dashed", color="red", weight=0];
48.79/29.30	39615[label="compare (yuz13730 * Pos yuz136810) (Neg yuz137310 * yuz13680) == GT",fontsize=16,color="magenta"];39615 -> 39784[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39615 -> 39785[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39616 -> 39257[label="",style="dashed", color="red", weight=0];
48.79/29.30	39616[label="compare (yuz13730 * Neg yuz136810) (Pos yuz137310 * yuz13680) == GT",fontsize=16,color="magenta"];39616 -> 39786[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39616 -> 39787[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39617 -> 39257[label="",style="dashed", color="red", weight=0];
48.79/29.30	39617[label="compare (yuz13730 * Neg yuz136810) (Neg yuz137310 * yuz13680) == GT",fontsize=16,color="magenta"];39617 -> 39788[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39617 -> 39789[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	4393 -> 3802[label="",style="dashed", color="red", weight=0];
48.79/29.30	4393[label="primMulNat yuz400000 (Succ yuz60100)",fontsize=16,color="magenta"];4393 -> 4412[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	4376[label="primPlusNat yuz152 (Succ yuz60100)",fontsize=16,color="burlywood",shape="triangle"];43212[label="yuz152/Succ yuz1520",fontsize=10,color="white",style="solid",shape="box"];4376 -> 43212[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43212 -> 4404[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43213[label="yuz152/Zero",fontsize=10,color="white",style="solid",shape="box"];4376 -> 43213[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43213 -> 4405[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	4499 -> 4451[label="",style="dashed", color="red", weight=0];
48.79/29.30	4499[label="primPlusNat yuz15200 yuz601000",fontsize=16,color="magenta"];4499 -> 4502[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	4499 -> 4503[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39322[label="FiniteMap.mkBranchRight_size yuz1340 yuz140 yuz144",fontsize=16,color="black",shape="box"];39322 -> 39410[label="",style="solid", color="black", weight=3];
48.79/29.30	39323 -> 39311[label="",style="dashed", color="red", weight=0];
48.79/29.30	39323[label="Pos (Succ Zero) + FiniteMap.mkBranchLeft_size yuz1340 yuz140 yuz144",fontsize=16,color="magenta"];39323 -> 39411[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39323 -> 39412[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39852[label="yuz14010",fontsize=16,color="green",shape="box"];39853[label="yuz14020",fontsize=16,color="green",shape="box"];39854[label="primMinusNat (Succ yuz140200) (Succ yuz140100)",fontsize=16,color="black",shape="box"];39854 -> 39963[label="",style="solid", color="black", weight=3];
48.79/29.30	39855[label="primMinusNat (Succ yuz140200) Zero",fontsize=16,color="black",shape="box"];39855 -> 39964[label="",style="solid", color="black", weight=3];
48.79/29.30	39856[label="primMinusNat Zero (Succ yuz140100)",fontsize=16,color="black",shape="box"];39856 -> 39965[label="",style="solid", color="black", weight=3];
48.79/29.30	39857[label="primMinusNat Zero Zero",fontsize=16,color="black",shape="box"];39857 -> 39966[label="",style="solid", color="black", weight=3];
48.79/29.30	39858[label="yuz14010",fontsize=16,color="green",shape="box"];39859[label="yuz14020",fontsize=16,color="green",shape="box"];42425 -> 42256[label="",style="dashed", color="red", weight=0];
48.79/29.30	42425[label="FiniteMap.mkBalBranch6Size_r yuz340 yuz341 yuz344 yuz1499",fontsize=16,color="magenta"];42426[label="FiniteMap.mkBalBranch6MkBalBranch2 yuz340 yuz341 yuz344 yuz1499 yuz340 yuz341 yuz1499 yuz344 otherwise",fontsize=16,color="black",shape="box"];42426 -> 42437[label="",style="solid", color="black", weight=3];
48.79/29.30	42427[label="FiniteMap.mkBalBranch6MkBalBranch1 yuz340 yuz341 yuz344 yuz1499 yuz1499 yuz344 yuz1499",fontsize=16,color="burlywood",shape="box"];43214[label="yuz1499/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];42427 -> 43214[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43214 -> 42438[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43215[label="yuz1499/FiniteMap.Branch yuz14990 yuz14991 yuz14992 yuz14993 yuz14994",fontsize=10,color="white",style="solid",shape="box"];42427 -> 43215[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43215 -> 42439[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	42436 -> 42452[label="",style="dashed", color="red", weight=0];
48.79/29.30	42436[label="FiniteMap.mkBalBranch6MkBalBranch01 yuz340 yuz341 (FiniteMap.Branch yuz3440 yuz3441 yuz3442 yuz3443 yuz3444) yuz1499 yuz1499 (FiniteMap.Branch yuz3440 yuz3441 yuz3442 yuz3443 yuz3444) yuz3440 yuz3441 yuz3442 yuz3443 yuz3444 (FiniteMap.sizeFM yuz3443 < Pos (Succ (Succ Zero)) * FiniteMap.sizeFM yuz3444)",fontsize=16,color="magenta"];42436 -> 42453[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42003[label="FiniteMap.glueBal2GlueBal0 (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344) (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304) (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304) (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344) True",fontsize=16,color="black",shape="box"];42003 -> 42014[label="",style="solid", color="black", weight=3];
48.79/29.30	42147[label="FiniteMap.glueBal2Mid_key2 (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344) (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304)",fontsize=16,color="black",shape="box"];42147 -> 42170[label="",style="solid", color="black", weight=3];
48.79/29.30	42148[label="FiniteMap.deleteMin (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344)",fontsize=16,color="burlywood",shape="triangle"];43216[label="yuz343/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];42148 -> 43216[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43216 -> 42171[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43217[label="yuz343/FiniteMap.Branch yuz3430 yuz3431 yuz3432 yuz3433 yuz3434",fontsize=10,color="white",style="solid",shape="box"];42148 -> 43217[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43217 -> 42172[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	42149[label="FiniteMap.glueBal2Mid_elt2 (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344) (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304)",fontsize=16,color="black",shape="box"];42149 -> 42173[label="",style="solid", color="black", weight=3];
48.79/29.30	42150[label="FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304",fontsize=16,color="green",shape="box"];39765[label="primMulNat yuz4010 yuz6000",fontsize=16,color="burlywood",shape="triangle"];43218[label="yuz4010/Succ yuz40100",fontsize=10,color="white",style="solid",shape="box"];39765 -> 43218[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43218 -> 39868[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43219[label="yuz4010/Zero",fontsize=10,color="white",style="solid",shape="box"];39765 -> 43219[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43219 -> 39869[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39766 -> 39765[label="",style="dashed", color="red", weight=0];
48.79/29.30	39766[label="primMulNat yuz4010 yuz6000",fontsize=16,color="magenta"];39766 -> 39870[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39767 -> 39765[label="",style="dashed", color="red", weight=0];
48.79/29.30	39767[label="primMulNat yuz4000 yuz6010",fontsize=16,color="magenta"];39767 -> 39871[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39767 -> 39872[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39768 -> 39765[label="",style="dashed", color="red", weight=0];
48.79/29.30	39768[label="primMulNat yuz4000 yuz6010",fontsize=16,color="magenta"];39768 -> 39873[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39768 -> 39874[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39769 -> 39765[label="",style="dashed", color="red", weight=0];
48.79/29.30	39769[label="primMulNat yuz4010 yuz6000",fontsize=16,color="magenta"];39770 -> 39765[label="",style="dashed", color="red", weight=0];
48.79/29.30	39770[label="primMulNat yuz4010 yuz6000",fontsize=16,color="magenta"];39770 -> 39875[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39771 -> 39765[label="",style="dashed", color="red", weight=0];
48.79/29.30	39771[label="primMulNat yuz4000 yuz6010",fontsize=16,color="magenta"];39771 -> 39876[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39771 -> 39877[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39772 -> 39765[label="",style="dashed", color="red", weight=0];
48.79/29.30	39772[label="primMulNat yuz4000 yuz6010",fontsize=16,color="magenta"];39772 -> 39878[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39772 -> 39879[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39773[label="primCmpNat yuz137300 yuz136800 == GT",fontsize=16,color="burlywood",shape="triangle"];43220[label="yuz137300/Succ yuz1373000",fontsize=10,color="white",style="solid",shape="box"];39773 -> 43220[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43220 -> 39880[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43221[label="yuz137300/Zero",fontsize=10,color="white",style="solid",shape="box"];39773 -> 43221[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43221 -> 39881[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39774 -> 39511[label="",style="dashed", color="red", weight=0];
48.79/29.30	39774[label="GT == GT",fontsize=16,color="magenta"];39775[label="Zero",fontsize=16,color="green",shape="box"];39776[label="yuz136800",fontsize=16,color="green",shape="box"];39777[label="False",fontsize=16,color="green",shape="box"];39778 -> 39773[label="",style="dashed", color="red", weight=0];
48.79/29.30	39778[label="primCmpNat yuz136800 yuz137300 == GT",fontsize=16,color="magenta"];39778 -> 39882[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39778 -> 39883[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39779 -> 39516[label="",style="dashed", color="red", weight=0];
48.79/29.30	39779[label="LT == GT",fontsize=16,color="magenta"];39780[label="Zero",fontsize=16,color="green",shape="box"];39781[label="yuz136800",fontsize=16,color="green",shape="box"];39782 -> 39342[label="",style="dashed", color="red", weight=0];
48.79/29.30	39782[label="Pos yuz137310 * yuz13680",fontsize=16,color="magenta"];39782 -> 39884[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39782 -> 39885[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39783 -> 39343[label="",style="dashed", color="red", weight=0];
48.79/29.30	39783[label="yuz13730 * Pos yuz136810",fontsize=16,color="magenta"];39783 -> 39886[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39783 -> 39887[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39784 -> 39344[label="",style="dashed", color="red", weight=0];
48.79/29.30	39784[label="Neg yuz137310 * yuz13680",fontsize=16,color="magenta"];39784 -> 39888[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39784 -> 39889[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39785 -> 39343[label="",style="dashed", color="red", weight=0];
48.79/29.30	39785[label="yuz13730 * Pos yuz136810",fontsize=16,color="magenta"];39785 -> 39890[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39785 -> 39891[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39786 -> 39342[label="",style="dashed", color="red", weight=0];
48.79/29.30	39786[label="Pos yuz137310 * yuz13680",fontsize=16,color="magenta"];39786 -> 39892[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39786 -> 39893[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39787 -> 39347[label="",style="dashed", color="red", weight=0];
48.79/29.30	39787[label="yuz13730 * Neg yuz136810",fontsize=16,color="magenta"];39787 -> 39894[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39787 -> 39895[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39788 -> 39344[label="",style="dashed", color="red", weight=0];
48.79/29.30	39788[label="Neg yuz137310 * yuz13680",fontsize=16,color="magenta"];39788 -> 39896[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39788 -> 39897[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39789 -> 39347[label="",style="dashed", color="red", weight=0];
48.79/29.30	39789[label="yuz13730 * Neg yuz136810",fontsize=16,color="magenta"];39789 -> 39898[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39789 -> 39899[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	4412[label="yuz400000",fontsize=16,color="green",shape="box"];4404[label="primPlusNat (Succ yuz1520) (Succ yuz60100)",fontsize=16,color="black",shape="box"];4404 -> 4426[label="",style="solid", color="black", weight=3];
48.79/29.30	4405[label="primPlusNat Zero (Succ yuz60100)",fontsize=16,color="black",shape="box"];4405 -> 4427[label="",style="solid", color="black", weight=3];
48.79/29.30	4502[label="yuz601000",fontsize=16,color="green",shape="box"];4503[label="yuz15200",fontsize=16,color="green",shape="box"];39410 -> 20741[label="",style="dashed", color="red", weight=0];
48.79/29.30	39410[label="FiniteMap.sizeFM yuz144",fontsize=16,color="magenta"];39410 -> 39530[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39411[label="FiniteMap.mkBranchLeft_size yuz1340 yuz140 yuz144",fontsize=16,color="black",shape="box"];39411 -> 39531[label="",style="solid", color="black", weight=3];
48.79/29.30	39412[label="Pos (Succ Zero)",fontsize=16,color="green",shape="box"];39963 -> 39577[label="",style="dashed", color="red", weight=0];
48.79/29.30	39963[label="primMinusNat yuz140200 yuz140100",fontsize=16,color="magenta"];39963 -> 40036[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39963 -> 40037[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39964[label="Pos (Succ yuz140200)",fontsize=16,color="green",shape="box"];39965[label="Neg (Succ yuz140100)",fontsize=16,color="green",shape="box"];39966[label="Pos Zero",fontsize=16,color="green",shape="box"];42437[label="FiniteMap.mkBalBranch6MkBalBranch2 yuz340 yuz341 yuz344 yuz1499 yuz340 yuz341 yuz1499 yuz344 True",fontsize=16,color="black",shape="box"];42437 -> 42454[label="",style="solid", color="black", weight=3];
48.79/29.30	42438[label="FiniteMap.mkBalBranch6MkBalBranch1 yuz340 yuz341 yuz344 FiniteMap.EmptyFM FiniteMap.EmptyFM yuz344 FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];42438 -> 42455[label="",style="solid", color="black", weight=3];
48.79/29.30	42439[label="FiniteMap.mkBalBranch6MkBalBranch1 yuz340 yuz341 yuz344 (FiniteMap.Branch yuz14990 yuz14991 yuz14992 yuz14993 yuz14994) (FiniteMap.Branch yuz14990 yuz14991 yuz14992 yuz14993 yuz14994) yuz344 (FiniteMap.Branch yuz14990 yuz14991 yuz14992 yuz14993 yuz14994)",fontsize=16,color="black",shape="box"];42439 -> 42456[label="",style="solid", color="black", weight=3];
48.79/29.30	42453 -> 14332[label="",style="dashed", color="red", weight=0];
48.79/29.30	42453[label="FiniteMap.sizeFM yuz3443 < Pos (Succ (Succ Zero)) * FiniteMap.sizeFM yuz3444",fontsize=16,color="magenta"];42453 -> 42457[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42453 -> 42458[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42452[label="FiniteMap.mkBalBranch6MkBalBranch01 yuz340 yuz341 (FiniteMap.Branch yuz3440 yuz3441 yuz3442 yuz3443 yuz3444) yuz1499 yuz1499 (FiniteMap.Branch yuz3440 yuz3441 yuz3442 yuz3443 yuz3444) yuz3440 yuz3441 yuz3442 yuz3443 yuz3444 yuz1510",fontsize=16,color="burlywood",shape="triangle"];43222[label="yuz1510/False",fontsize=10,color="white",style="solid",shape="box"];42452 -> 43222[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43222 -> 42459[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43223[label="yuz1510/True",fontsize=10,color="white",style="solid",shape="box"];42452 -> 43223[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43223 -> 42460[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	42014 -> 42125[label="",style="dashed", color="red", weight=0];
48.79/29.30	42014[label="FiniteMap.mkBalBranch (FiniteMap.glueBal2Mid_key1 (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344) (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304)) (FiniteMap.glueBal2Mid_elt1 (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344) (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304)) (FiniteMap.deleteMax (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304)) (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344)",fontsize=16,color="magenta"];42014 -> 42151[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42014 -> 42152[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42014 -> 42153[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42014 -> 42154[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42170[label="FiniteMap.glueBal2Mid_key20 (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344) (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304) (FiniteMap.glueBal2Vv3 (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344) (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304))",fontsize=16,color="black",shape="box"];42170 -> 42189[label="",style="solid", color="black", weight=3];
48.79/29.30	42171[label="FiniteMap.deleteMin (FiniteMap.Branch yuz340 yuz341 yuz342 FiniteMap.EmptyFM yuz344)",fontsize=16,color="black",shape="box"];42171 -> 42190[label="",style="solid", color="black", weight=3];
48.79/29.30	42172[label="FiniteMap.deleteMin (FiniteMap.Branch yuz340 yuz341 yuz342 (FiniteMap.Branch yuz3430 yuz3431 yuz3432 yuz3433 yuz3434) yuz344)",fontsize=16,color="black",shape="box"];42172 -> 42191[label="",style="solid", color="black", weight=3];
48.79/29.30	42173[label="FiniteMap.glueBal2Mid_elt20 (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344) (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304) (FiniteMap.glueBal2Vv3 (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344) (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304))",fontsize=16,color="black",shape="box"];42173 -> 42192[label="",style="solid", color="black", weight=3];
48.79/29.30	39868[label="primMulNat (Succ yuz40100) yuz6000",fontsize=16,color="burlywood",shape="box"];43224[label="yuz6000/Succ yuz60000",fontsize=10,color="white",style="solid",shape="box"];39868 -> 43224[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43224 -> 39973[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43225[label="yuz6000/Zero",fontsize=10,color="white",style="solid",shape="box"];39868 -> 43225[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43225 -> 39974[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39869[label="primMulNat Zero yuz6000",fontsize=16,color="burlywood",shape="box"];43226[label="yuz6000/Succ yuz60000",fontsize=10,color="white",style="solid",shape="box"];39869 -> 43226[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43226 -> 39975[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43227[label="yuz6000/Zero",fontsize=10,color="white",style="solid",shape="box"];39869 -> 43227[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43227 -> 39976[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39870[label="yuz6000",fontsize=16,color="green",shape="box"];39871[label="yuz4000",fontsize=16,color="green",shape="box"];39872[label="yuz6010",fontsize=16,color="green",shape="box"];39873[label="yuz4000",fontsize=16,color="green",shape="box"];39874[label="yuz6010",fontsize=16,color="green",shape="box"];39875[label="yuz6000",fontsize=16,color="green",shape="box"];39876[label="yuz4000",fontsize=16,color="green",shape="box"];39877[label="yuz6010",fontsize=16,color="green",shape="box"];39878[label="yuz4000",fontsize=16,color="green",shape="box"];39879[label="yuz6010",fontsize=16,color="green",shape="box"];39880[label="primCmpNat (Succ yuz1373000) yuz136800 == GT",fontsize=16,color="burlywood",shape="box"];43228[label="yuz136800/Succ yuz1368000",fontsize=10,color="white",style="solid",shape="box"];39880 -> 43228[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43228 -> 39977[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43229[label="yuz136800/Zero",fontsize=10,color="white",style="solid",shape="box"];39880 -> 43229[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43229 -> 39978[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39881[label="primCmpNat Zero yuz136800 == GT",fontsize=16,color="burlywood",shape="box"];43230[label="yuz136800/Succ yuz1368000",fontsize=10,color="white",style="solid",shape="box"];39881 -> 43230[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43230 -> 39979[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43231[label="yuz136800/Zero",fontsize=10,color="white",style="solid",shape="box"];39881 -> 43231[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43231 -> 39980[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	39882[label="yuz137300",fontsize=16,color="green",shape="box"];39883[label="yuz136800",fontsize=16,color="green",shape="box"];39884[label="yuz13680",fontsize=16,color="green",shape="box"];39885[label="yuz137310",fontsize=16,color="green",shape="box"];39886[label="yuz13730",fontsize=16,color="green",shape="box"];39887[label="yuz136810",fontsize=16,color="green",shape="box"];39888[label="yuz13680",fontsize=16,color="green",shape="box"];39889[label="yuz137310",fontsize=16,color="green",shape="box"];39890[label="yuz13730",fontsize=16,color="green",shape="box"];39891[label="yuz136810",fontsize=16,color="green",shape="box"];39892[label="yuz13680",fontsize=16,color="green",shape="box"];39893[label="yuz137310",fontsize=16,color="green",shape="box"];39894[label="yuz13730",fontsize=16,color="green",shape="box"];39895[label="yuz136810",fontsize=16,color="green",shape="box"];39896[label="yuz13680",fontsize=16,color="green",shape="box"];39897[label="yuz137310",fontsize=16,color="green",shape="box"];39898[label="yuz13730",fontsize=16,color="green",shape="box"];39899[label="yuz136810",fontsize=16,color="green",shape="box"];4426[label="Succ (Succ (primPlusNat yuz1520 yuz60100))",fontsize=16,color="green",shape="box"];4426 -> 4451[label="",style="dashed", color="green", weight=3];
48.79/29.30	4427[label="Succ yuz60100",fontsize=16,color="green",shape="box"];39530[label="yuz144",fontsize=16,color="green",shape="box"];39531 -> 20741[label="",style="dashed", color="red", weight=0];
48.79/29.30	39531[label="FiniteMap.sizeFM yuz1340",fontsize=16,color="magenta"];39531 -> 39804[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	40036[label="yuz140200",fontsize=16,color="green",shape="box"];40037[label="yuz140100",fontsize=16,color="green",shape="box"];42454[label="FiniteMap.mkBranch (Pos (Succ (Succ Zero))) yuz340 yuz341 yuz1499 yuz344",fontsize=16,color="black",shape="box"];42454 -> 42469[label="",style="solid", color="black", weight=3];
48.79/29.30	42455[label="error []",fontsize=16,color="red",shape="box"];42456[label="FiniteMap.mkBalBranch6MkBalBranch12 yuz340 yuz341 yuz344 (FiniteMap.Branch yuz14990 yuz14991 yuz14992 yuz14993 yuz14994) (FiniteMap.Branch yuz14990 yuz14991 yuz14992 yuz14993 yuz14994) yuz344 (FiniteMap.Branch yuz14990 yuz14991 yuz14992 yuz14993 yuz14994)",fontsize=16,color="black",shape="box"];42456 -> 42470[label="",style="solid", color="black", weight=3];
48.79/29.30	42457 -> 39342[label="",style="dashed", color="red", weight=0];
48.79/29.30	42457[label="Pos (Succ (Succ Zero)) * FiniteMap.sizeFM yuz3444",fontsize=16,color="magenta"];42457 -> 42471[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42457 -> 42472[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42458 -> 20741[label="",style="dashed", color="red", weight=0];
48.79/29.30	42458[label="FiniteMap.sizeFM yuz3443",fontsize=16,color="magenta"];42458 -> 42473[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42459[label="FiniteMap.mkBalBranch6MkBalBranch01 yuz340 yuz341 (FiniteMap.Branch yuz3440 yuz3441 yuz3442 yuz3443 yuz3444) yuz1499 yuz1499 (FiniteMap.Branch yuz3440 yuz3441 yuz3442 yuz3443 yuz3444) yuz3440 yuz3441 yuz3442 yuz3443 yuz3444 False",fontsize=16,color="black",shape="box"];42459 -> 42474[label="",style="solid", color="black", weight=3];
48.79/29.30	42460[label="FiniteMap.mkBalBranch6MkBalBranch01 yuz340 yuz341 (FiniteMap.Branch yuz3440 yuz3441 yuz3442 yuz3443 yuz3444) yuz1499 yuz1499 (FiniteMap.Branch yuz3440 yuz3441 yuz3442 yuz3443 yuz3444) yuz3440 yuz3441 yuz3442 yuz3443 yuz3444 True",fontsize=16,color="black",shape="box"];42460 -> 42475[label="",style="solid", color="black", weight=3];
48.79/29.30	42151[label="FiniteMap.glueBal2Mid_key1 (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344) (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304)",fontsize=16,color="black",shape="box"];42151 -> 42174[label="",style="solid", color="black", weight=3];
48.79/29.30	42152[label="FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344",fontsize=16,color="green",shape="box"];42153[label="FiniteMap.glueBal2Mid_elt1 (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344) (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304)",fontsize=16,color="black",shape="box"];42153 -> 42175[label="",style="solid", color="black", weight=3];
48.79/29.30	42154[label="FiniteMap.deleteMax (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304)",fontsize=16,color="burlywood",shape="triangle"];43232[label="yuz304/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];42154 -> 43232[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43232 -> 42176[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43233[label="yuz304/FiniteMap.Branch yuz3040 yuz3041 yuz3042 yuz3043 yuz3044",fontsize=10,color="white",style="solid",shape="box"];42154 -> 43233[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43233 -> 42177[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	42189 -> 42517[label="",style="dashed", color="red", weight=0];
48.79/29.30	42189[label="FiniteMap.glueBal2Mid_key20 (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344) (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304) (FiniteMap.findMin (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344))",fontsize=16,color="magenta"];42189 -> 42518[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42189 -> 42519[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42189 -> 42520[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42189 -> 42521[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42189 -> 42522[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42189 -> 42523[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42189 -> 42524[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42189 -> 42525[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42189 -> 42526[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42189 -> 42527[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42189 -> 42528[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42189 -> 42529[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42189 -> 42530[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42189 -> 42531[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42189 -> 42532[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42190[label="yuz344",fontsize=16,color="green",shape="box"];42191 -> 42125[label="",style="dashed", color="red", weight=0];
48.79/29.30	42191[label="FiniteMap.mkBalBranch yuz340 yuz341 (FiniteMap.deleteMin (FiniteMap.Branch yuz3430 yuz3431 yuz3432 yuz3433 yuz3434)) yuz344",fontsize=16,color="magenta"];42191 -> 42240[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42192 -> 42620[label="",style="dashed", color="red", weight=0];
48.79/29.30	42192[label="FiniteMap.glueBal2Mid_elt20 (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344) (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304) (FiniteMap.findMin (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344))",fontsize=16,color="magenta"];42192 -> 42621[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42192 -> 42622[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42192 -> 42623[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42192 -> 42624[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42192 -> 42625[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42192 -> 42626[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42192 -> 42627[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42192 -> 42628[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42192 -> 42629[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42192 -> 42630[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42192 -> 42631[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42192 -> 42632[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42192 -> 42633[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42192 -> 42634[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42192 -> 42635[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	39973[label="primMulNat (Succ yuz40100) (Succ yuz60000)",fontsize=16,color="black",shape="box"];39973 -> 40046[label="",style="solid", color="black", weight=3];
48.79/29.30	39974[label="primMulNat (Succ yuz40100) Zero",fontsize=16,color="black",shape="box"];39974 -> 40047[label="",style="solid", color="black", weight=3];
48.79/29.30	39975[label="primMulNat Zero (Succ yuz60000)",fontsize=16,color="black",shape="box"];39975 -> 40048[label="",style="solid", color="black", weight=3];
48.79/29.30	39976[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];39976 -> 40049[label="",style="solid", color="black", weight=3];
48.79/29.30	39977[label="primCmpNat (Succ yuz1373000) (Succ yuz1368000) == GT",fontsize=16,color="black",shape="box"];39977 -> 40050[label="",style="solid", color="black", weight=3];
48.79/29.30	39978[label="primCmpNat (Succ yuz1373000) Zero == GT",fontsize=16,color="black",shape="box"];39978 -> 40051[label="",style="solid", color="black", weight=3];
48.79/29.30	39979[label="primCmpNat Zero (Succ yuz1368000) == GT",fontsize=16,color="black",shape="box"];39979 -> 40052[label="",style="solid", color="black", weight=3];
48.79/29.30	39980[label="primCmpNat Zero Zero == GT",fontsize=16,color="black",shape="box"];39980 -> 40053[label="",style="solid", color="black", weight=3];
48.79/29.30	39804[label="yuz1340",fontsize=16,color="green",shape="box"];42469 -> 20810[label="",style="dashed", color="red", weight=0];
48.79/29.30	42469[label="FiniteMap.mkBranchResult yuz340 yuz341 yuz1499 yuz344",fontsize=16,color="magenta"];42469 -> 42488[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42469 -> 42489[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42469 -> 42490[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42469 -> 42491[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42470 -> 42492[label="",style="dashed", color="red", weight=0];
48.79/29.30	42470[label="FiniteMap.mkBalBranch6MkBalBranch11 yuz340 yuz341 yuz344 (FiniteMap.Branch yuz14990 yuz14991 yuz14992 yuz14993 yuz14994) (FiniteMap.Branch yuz14990 yuz14991 yuz14992 yuz14993 yuz14994) yuz344 yuz14990 yuz14991 yuz14992 yuz14993 yuz14994 (FiniteMap.sizeFM yuz14994 < Pos (Succ (Succ Zero)) * FiniteMap.sizeFM yuz14993)",fontsize=16,color="magenta"];42470 -> 42493[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42471 -> 20741[label="",style="dashed", color="red", weight=0];
48.79/29.30	42471[label="FiniteMap.sizeFM yuz3444",fontsize=16,color="magenta"];42471 -> 42494[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42472[label="Succ (Succ Zero)",fontsize=16,color="green",shape="box"];42473[label="yuz3443",fontsize=16,color="green",shape="box"];42474[label="FiniteMap.mkBalBranch6MkBalBranch00 yuz340 yuz341 (FiniteMap.Branch yuz3440 yuz3441 yuz3442 yuz3443 yuz3444) yuz1499 yuz1499 (FiniteMap.Branch yuz3440 yuz3441 yuz3442 yuz3443 yuz3444) yuz3440 yuz3441 yuz3442 yuz3443 yuz3444 otherwise",fontsize=16,color="black",shape="box"];42474 -> 42495[label="",style="solid", color="black", weight=3];
48.79/29.30	42475[label="FiniteMap.mkBalBranch6Single_L yuz340 yuz341 (FiniteMap.Branch yuz3440 yuz3441 yuz3442 yuz3443 yuz3444) yuz1499 yuz1499 (FiniteMap.Branch yuz3440 yuz3441 yuz3442 yuz3443 yuz3444)",fontsize=16,color="black",shape="box"];42475 -> 42496[label="",style="solid", color="black", weight=3];
48.79/29.30	42174[label="FiniteMap.glueBal2Mid_key10 (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344) (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304) (FiniteMap.glueBal2Vv2 (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344) (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304))",fontsize=16,color="black",shape="box"];42174 -> 42193[label="",style="solid", color="black", weight=3];
48.79/29.30	42175[label="FiniteMap.glueBal2Mid_elt10 (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344) (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304) (FiniteMap.glueBal2Vv2 (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344) (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304))",fontsize=16,color="black",shape="box"];42175 -> 42194[label="",style="solid", color="black", weight=3];
48.79/29.30	42176[label="FiniteMap.deleteMax (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 FiniteMap.EmptyFM)",fontsize=16,color="black",shape="box"];42176 -> 42195[label="",style="solid", color="black", weight=3];
48.79/29.30	42177[label="FiniteMap.deleteMax (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 (FiniteMap.Branch yuz3040 yuz3041 yuz3042 yuz3043 yuz3044))",fontsize=16,color="black",shape="box"];42177 -> 42196[label="",style="solid", color="black", weight=3];
48.79/29.30	42518[label="yuz301",fontsize=16,color="green",shape="box"];42519[label="yuz303",fontsize=16,color="green",shape="box"];42520[label="yuz302",fontsize=16,color="green",shape="box"];42521[label="yuz343",fontsize=16,color="green",shape="box"];42522[label="yuz340",fontsize=16,color="green",shape="box"];42523[label="yuz341",fontsize=16,color="green",shape="box"];42524[label="yuz344",fontsize=16,color="green",shape="box"];42525[label="yuz340",fontsize=16,color="green",shape="box"];42526[label="yuz343",fontsize=16,color="green",shape="box"];42527[label="yuz300",fontsize=16,color="green",shape="box"];42528[label="yuz344",fontsize=16,color="green",shape="box"];42529[label="yuz304",fontsize=16,color="green",shape="box"];42530[label="yuz341",fontsize=16,color="green",shape="box"];42531[label="yuz342",fontsize=16,color="green",shape="box"];42532[label="yuz342",fontsize=16,color="green",shape="box"];42517[label="FiniteMap.glueBal2Mid_key20 (FiniteMap.Branch yuz1519 yuz1520 yuz1521 yuz1522 yuz1523) (FiniteMap.Branch yuz1524 yuz1525 yuz1526 yuz1527 yuz1528) (FiniteMap.findMin (FiniteMap.Branch yuz1529 yuz1530 yuz1531 yuz1532 yuz1533))",fontsize=16,color="burlywood",shape="triangle"];43234[label="yuz1532/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];42517 -> 43234[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43234 -> 42608[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43235[label="yuz1532/FiniteMap.Branch yuz15320 yuz15321 yuz15322 yuz15323 yuz15324",fontsize=10,color="white",style="solid",shape="box"];42517 -> 43235[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43235 -> 42609[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	42240 -> 42148[label="",style="dashed", color="red", weight=0];
48.79/29.30	42240[label="FiniteMap.deleteMin (FiniteMap.Branch yuz3430 yuz3431 yuz3432 yuz3433 yuz3434)",fontsize=16,color="magenta"];42240 -> 42280[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42240 -> 42281[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42240 -> 42282[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42240 -> 42283[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42240 -> 42284[label="",style="dashed", color="magenta", weight=3];
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48.79/29.30	43236 -> 42711[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43237[label="yuz1548/FiniteMap.Branch yuz15480 yuz15481 yuz15482 yuz15483 yuz15484",fontsize=10,color="white",style="solid",shape="box"];42620 -> 43237[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43237 -> 42712[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	40046 -> 4451[label="",style="dashed", color="red", weight=0];
48.79/29.30	40046[label="primPlusNat (primMulNat yuz40100 (Succ yuz60000)) (Succ yuz60000)",fontsize=16,color="magenta"];40046 -> 40070[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	40046 -> 40071[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	40047[label="Zero",fontsize=16,color="green",shape="box"];40048[label="Zero",fontsize=16,color="green",shape="box"];40049[label="Zero",fontsize=16,color="green",shape="box"];40050 -> 39773[label="",style="dashed", color="red", weight=0];
48.79/29.30	40050[label="primCmpNat yuz1373000 yuz1368000 == GT",fontsize=16,color="magenta"];40050 -> 40072[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	40050 -> 40073[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	40051 -> 39511[label="",style="dashed", color="red", weight=0];
48.79/29.30	40051[label="GT == GT",fontsize=16,color="magenta"];40052 -> 39516[label="",style="dashed", color="red", weight=0];
48.79/29.30	40052[label="LT == GT",fontsize=16,color="magenta"];40053 -> 39604[label="",style="dashed", color="red", weight=0];
48.79/29.30	40053[label="EQ == GT",fontsize=16,color="magenta"];42488[label="yuz1499",fontsize=16,color="green",shape="box"];42489[label="yuz341",fontsize=16,color="green",shape="box"];42490[label="yuz344",fontsize=16,color="green",shape="box"];42491[label="yuz340",fontsize=16,color="green",shape="box"];42493 -> 14332[label="",style="dashed", color="red", weight=0];
48.79/29.30	42493[label="FiniteMap.sizeFM yuz14994 < Pos (Succ (Succ Zero)) * FiniteMap.sizeFM yuz14993",fontsize=16,color="magenta"];42493 -> 42497[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42493 -> 42498[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42492[label="FiniteMap.mkBalBranch6MkBalBranch11 yuz340 yuz341 yuz344 (FiniteMap.Branch yuz14990 yuz14991 yuz14992 yuz14993 yuz14994) (FiniteMap.Branch yuz14990 yuz14991 yuz14992 yuz14993 yuz14994) yuz344 yuz14990 yuz14991 yuz14992 yuz14993 yuz14994 yuz1514",fontsize=16,color="burlywood",shape="triangle"];43238[label="yuz1514/False",fontsize=10,color="white",style="solid",shape="box"];42492 -> 43238[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43238 -> 42499[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43239[label="yuz1514/True",fontsize=10,color="white",style="solid",shape="box"];42492 -> 43239[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43239 -> 42500[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	42494[label="yuz3444",fontsize=16,color="green",shape="box"];42495[label="FiniteMap.mkBalBranch6MkBalBranch00 yuz340 yuz341 (FiniteMap.Branch yuz3440 yuz3441 yuz3442 yuz3443 yuz3444) yuz1499 yuz1499 (FiniteMap.Branch yuz3440 yuz3441 yuz3442 yuz3443 yuz3444) yuz3440 yuz3441 yuz3442 yuz3443 yuz3444 True",fontsize=16,color="black",shape="box"];42495 -> 42509[label="",style="solid", color="black", weight=3];
48.79/29.30	42496[label="FiniteMap.mkBranch (Pos (Succ (Succ (Succ Zero)))) yuz3440 yuz3441 (FiniteMap.mkBranch (Pos (Succ (Succ (Succ (Succ Zero))))) yuz340 yuz341 yuz1499 yuz3443) yuz3444",fontsize=16,color="black",shape="box"];42496 -> 42510[label="",style="solid", color="black", weight=3];
48.79/29.30	42193 -> 42802[label="",style="dashed", color="red", weight=0];
48.79/29.30	42193[label="FiniteMap.glueBal2Mid_key10 (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344) (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304) (FiniteMap.findMax (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304))",fontsize=16,color="magenta"];42193 -> 42803[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42193 -> 42804[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42193 -> 42805[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42193 -> 42806[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42193 -> 42807[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42193 -> 42808[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42193 -> 42809[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42193 -> 42810[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42193 -> 42811[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42193 -> 42812[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42193 -> 42813[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42193 -> 42814[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42193 -> 42815[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42193 -> 42816[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42193 -> 42817[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42194 -> 42913[label="",style="dashed", color="red", weight=0];
48.79/29.30	42194[label="FiniteMap.glueBal2Mid_elt10 (FiniteMap.Branch yuz340 yuz341 yuz342 yuz343 yuz344) (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304) (FiniteMap.findMax (FiniteMap.Branch yuz300 yuz301 yuz302 yuz303 yuz304))",fontsize=16,color="magenta"];42194 -> 42914[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42194 -> 42915[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42194 -> 42916[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42194 -> 42917[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42194 -> 42918[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42194 -> 42919[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42194 -> 42920[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42194 -> 42921[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42194 -> 42922[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42194 -> 42923[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42194 -> 42924[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42194 -> 42925[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42194 -> 42926[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42194 -> 42927[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42194 -> 42928[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42195[label="yuz303",fontsize=16,color="green",shape="box"];42196 -> 42125[label="",style="dashed", color="red", weight=0];
48.79/29.30	42196[label="FiniteMap.mkBalBranch yuz300 yuz301 yuz303 (FiniteMap.deleteMax (FiniteMap.Branch yuz3040 yuz3041 yuz3042 yuz3043 yuz3044))",fontsize=16,color="magenta"];42196 -> 42247[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42196 -> 42248[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42196 -> 42249[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42196 -> 42250[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42608[label="FiniteMap.glueBal2Mid_key20 (FiniteMap.Branch yuz1519 yuz1520 yuz1521 yuz1522 yuz1523) (FiniteMap.Branch yuz1524 yuz1525 yuz1526 yuz1527 yuz1528) (FiniteMap.findMin (FiniteMap.Branch yuz1529 yuz1530 yuz1531 FiniteMap.EmptyFM yuz1533))",fontsize=16,color="black",shape="box"];42608 -> 42713[label="",style="solid", color="black", weight=3];
48.79/29.30	42609[label="FiniteMap.glueBal2Mid_key20 (FiniteMap.Branch yuz1519 yuz1520 yuz1521 yuz1522 yuz1523) (FiniteMap.Branch yuz1524 yuz1525 yuz1526 yuz1527 yuz1528) (FiniteMap.findMin (FiniteMap.Branch yuz1529 yuz1530 yuz1531 (FiniteMap.Branch yuz15320 yuz15321 yuz15322 yuz15323 yuz15324) yuz1533))",fontsize=16,color="black",shape="box"];42609 -> 42714[label="",style="solid", color="black", weight=3];
48.79/29.30	42280[label="yuz3430",fontsize=16,color="green",shape="box"];42281[label="yuz3433",fontsize=16,color="green",shape="box"];42282[label="yuz3434",fontsize=16,color="green",shape="box"];42283[label="yuz3431",fontsize=16,color="green",shape="box"];42284[label="yuz3432",fontsize=16,color="green",shape="box"];42711[label="FiniteMap.glueBal2Mid_elt20 (FiniteMap.Branch yuz1535 yuz1536 yuz1537 yuz1538 yuz1539) (FiniteMap.Branch yuz1540 yuz1541 yuz1542 yuz1543 yuz1544) (FiniteMap.findMin (FiniteMap.Branch yuz1545 yuz1546 yuz1547 FiniteMap.EmptyFM yuz1549))",fontsize=16,color="black",shape="box"];42711 -> 42728[label="",style="solid", color="black", weight=3];
48.79/29.30	42712[label="FiniteMap.glueBal2Mid_elt20 (FiniteMap.Branch yuz1535 yuz1536 yuz1537 yuz1538 yuz1539) (FiniteMap.Branch yuz1540 yuz1541 yuz1542 yuz1543 yuz1544) (FiniteMap.findMin (FiniteMap.Branch yuz1545 yuz1546 yuz1547 (FiniteMap.Branch yuz15480 yuz15481 yuz15482 yuz15483 yuz15484) yuz1549))",fontsize=16,color="black",shape="box"];42712 -> 42729[label="",style="solid", color="black", weight=3];
48.79/29.30	40070[label="Succ yuz60000",fontsize=16,color="green",shape="box"];40071 -> 39765[label="",style="dashed", color="red", weight=0];
48.79/29.30	40071[label="primMulNat yuz40100 (Succ yuz60000)",fontsize=16,color="magenta"];40071 -> 40252[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	40071 -> 40253[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	40072[label="yuz1368000",fontsize=16,color="green",shape="box"];40073[label="yuz1373000",fontsize=16,color="green",shape="box"];42497 -> 39342[label="",style="dashed", color="red", weight=0];
48.79/29.30	42497[label="Pos (Succ (Succ Zero)) * FiniteMap.sizeFM yuz14993",fontsize=16,color="magenta"];42497 -> 42511[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42497 -> 42512[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42498 -> 20741[label="",style="dashed", color="red", weight=0];
48.79/29.30	42498[label="FiniteMap.sizeFM yuz14994",fontsize=16,color="magenta"];42498 -> 42513[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42499[label="FiniteMap.mkBalBranch6MkBalBranch11 yuz340 yuz341 yuz344 (FiniteMap.Branch yuz14990 yuz14991 yuz14992 yuz14993 yuz14994) (FiniteMap.Branch yuz14990 yuz14991 yuz14992 yuz14993 yuz14994) yuz344 yuz14990 yuz14991 yuz14992 yuz14993 yuz14994 False",fontsize=16,color="black",shape="box"];42499 -> 42514[label="",style="solid", color="black", weight=3];
48.79/29.30	42500[label="FiniteMap.mkBalBranch6MkBalBranch11 yuz340 yuz341 yuz344 (FiniteMap.Branch yuz14990 yuz14991 yuz14992 yuz14993 yuz14994) (FiniteMap.Branch yuz14990 yuz14991 yuz14992 yuz14993 yuz14994) yuz344 yuz14990 yuz14991 yuz14992 yuz14993 yuz14994 True",fontsize=16,color="black",shape="box"];42500 -> 42515[label="",style="solid", color="black", weight=3];
48.79/29.30	42509[label="FiniteMap.mkBalBranch6Double_L yuz340 yuz341 (FiniteMap.Branch yuz3440 yuz3441 yuz3442 yuz3443 yuz3444) yuz1499 yuz1499 (FiniteMap.Branch yuz3440 yuz3441 yuz3442 yuz3443 yuz3444)",fontsize=16,color="burlywood",shape="box"];43240[label="yuz3443/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];42509 -> 43240[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43240 -> 42610[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43241[label="yuz3443/FiniteMap.Branch yuz34430 yuz34431 yuz34432 yuz34433 yuz34434",fontsize=10,color="white",style="solid",shape="box"];42509 -> 43241[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43241 -> 42611[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	42510 -> 20810[label="",style="dashed", color="red", weight=0];
48.79/29.30	42510[label="FiniteMap.mkBranchResult yuz3440 yuz3441 (FiniteMap.mkBranch (Pos (Succ (Succ (Succ (Succ Zero))))) yuz340 yuz341 yuz1499 yuz3443) yuz3444",fontsize=16,color="magenta"];42510 -> 42612[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42510 -> 42613[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42510 -> 42614[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42510 -> 42615[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42803[label="yuz304",fontsize=16,color="green",shape="box"];42804[label="yuz343",fontsize=16,color="green",shape="box"];42805[label="yuz341",fontsize=16,color="green",shape="box"];42806[label="yuz300",fontsize=16,color="green",shape="box"];42807[label="yuz303",fontsize=16,color="green",shape="box"];42808[label="yuz302",fontsize=16,color="green",shape="box"];42809[label="yuz342",fontsize=16,color="green",shape="box"];42810[label="yuz303",fontsize=16,color="green",shape="box"];42811[label="yuz301",fontsize=16,color="green",shape="box"];42812[label="yuz304",fontsize=16,color="green",shape="box"];42813[label="yuz344",fontsize=16,color="green",shape="box"];42814[label="yuz301",fontsize=16,color="green",shape="box"];42815[label="yuz340",fontsize=16,color="green",shape="box"];42816[label="yuz302",fontsize=16,color="green",shape="box"];42817[label="yuz300",fontsize=16,color="green",shape="box"];42802[label="FiniteMap.glueBal2Mid_key10 (FiniteMap.Branch yuz1582 yuz1583 yuz1584 yuz1585 yuz1586) (FiniteMap.Branch yuz1587 yuz1588 yuz1589 yuz1590 yuz1591) (FiniteMap.findMax (FiniteMap.Branch yuz1592 yuz1593 yuz1594 yuz1595 yuz1596))",fontsize=16,color="burlywood",shape="triangle"];43242[label="yuz1596/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];42802 -> 43242[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43242 -> 42893[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43243[label="yuz1596/FiniteMap.Branch yuz15960 yuz15961 yuz15962 yuz15963 yuz15964",fontsize=10,color="white",style="solid",shape="box"];42802 -> 43243[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43243 -> 42894[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	42914[label="yuz301",fontsize=16,color="green",shape="box"];42915[label="yuz304",fontsize=16,color="green",shape="box"];42916[label="yuz304",fontsize=16,color="green",shape="box"];42917[label="yuz341",fontsize=16,color="green",shape="box"];42918[label="yuz303",fontsize=16,color="green",shape="box"];42919[label="yuz343",fontsize=16,color="green",shape="box"];42920[label="yuz344",fontsize=16,color="green",shape="box"];42921[label="yuz303",fontsize=16,color="green",shape="box"];42922[label="yuz300",fontsize=16,color="green",shape="box"];42923[label="yuz302",fontsize=16,color="green",shape="box"];42924[label="yuz302",fontsize=16,color="green",shape="box"];42925[label="yuz342",fontsize=16,color="green",shape="box"];42926[label="yuz301",fontsize=16,color="green",shape="box"];42927[label="yuz340",fontsize=16,color="green",shape="box"];42928[label="yuz300",fontsize=16,color="green",shape="box"];42913[label="FiniteMap.glueBal2Mid_elt10 (FiniteMap.Branch yuz1598 yuz1599 yuz1600 yuz1601 yuz1602) (FiniteMap.Branch yuz1603 yuz1604 yuz1605 yuz1606 yuz1607) (FiniteMap.findMax (FiniteMap.Branch yuz1608 yuz1609 yuz1610 yuz1611 yuz1612))",fontsize=16,color="burlywood",shape="triangle"];43244[label="yuz1612/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];42913 -> 43244[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43244 -> 43004[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	43245[label="yuz1612/FiniteMap.Branch yuz16120 yuz16121 yuz16122 yuz16123 yuz16124",fontsize=10,color="white",style="solid",shape="box"];42913 -> 43245[label="",style="solid", color="burlywood", weight=9];
48.79/29.30	43245 -> 43005[label="",style="solid", color="burlywood", weight=3];
48.79/29.30	42247[label="yuz300",fontsize=16,color="green",shape="box"];42248 -> 42154[label="",style="dashed", color="red", weight=0];
48.79/29.30	42248[label="FiniteMap.deleteMax (FiniteMap.Branch yuz3040 yuz3041 yuz3042 yuz3043 yuz3044)",fontsize=16,color="magenta"];42248 -> 42291[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42248 -> 42292[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42248 -> 42293[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42248 -> 42294[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42248 -> 42295[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42249[label="yuz301",fontsize=16,color="green",shape="box"];42250[label="yuz303",fontsize=16,color="green",shape="box"];42713[label="FiniteMap.glueBal2Mid_key20 (FiniteMap.Branch yuz1519 yuz1520 yuz1521 yuz1522 yuz1523) (FiniteMap.Branch yuz1524 yuz1525 yuz1526 yuz1527 yuz1528) (yuz1529,yuz1530)",fontsize=16,color="black",shape="box"];42713 -> 42730[label="",style="solid", color="black", weight=3];
48.79/29.30	42714 -> 42517[label="",style="dashed", color="red", weight=0];
48.79/29.30	42714[label="FiniteMap.glueBal2Mid_key20 (FiniteMap.Branch yuz1519 yuz1520 yuz1521 yuz1522 yuz1523) (FiniteMap.Branch yuz1524 yuz1525 yuz1526 yuz1527 yuz1528) (FiniteMap.findMin (FiniteMap.Branch yuz15320 yuz15321 yuz15322 yuz15323 yuz15324))",fontsize=16,color="magenta"];42714 -> 42731[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42714 -> 42732[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42714 -> 42733[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42714 -> 42734[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42714 -> 42735[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42728[label="FiniteMap.glueBal2Mid_elt20 (FiniteMap.Branch yuz1535 yuz1536 yuz1537 yuz1538 yuz1539) (FiniteMap.Branch yuz1540 yuz1541 yuz1542 yuz1543 yuz1544) (yuz1545,yuz1546)",fontsize=16,color="black",shape="box"];42728 -> 42748[label="",style="solid", color="black", weight=3];
48.79/29.30	42729 -> 42620[label="",style="dashed", color="red", weight=0];
48.79/29.30	42729[label="FiniteMap.glueBal2Mid_elt20 (FiniteMap.Branch yuz1535 yuz1536 yuz1537 yuz1538 yuz1539) (FiniteMap.Branch yuz1540 yuz1541 yuz1542 yuz1543 yuz1544) (FiniteMap.findMin (FiniteMap.Branch yuz15480 yuz15481 yuz15482 yuz15483 yuz15484))",fontsize=16,color="magenta"];42729 -> 42749[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42729 -> 42750[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42729 -> 42751[label="",style="dashed", color="magenta", weight=3];
48.79/29.30	42729 -> 42752[label="",style="dashed", color="magenta", weight=3];
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48.79/29.30	43006[label="FiniteMap.glueBal2Mid_key10 (FiniteMap.Branch yuz1582 yuz1583 yuz1584 yuz1585 yuz1586) (FiniteMap.Branch yuz1587 yuz1588 yuz1589 yuz1590 yuz1591) (yuz1592,yuz1593)",fontsize=16,color="black",shape="box"];43006 -> 43016[label="",style="solid", color="black", weight=3];
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48.79/29.30	43014[label="FiniteMap.glueBal2Mid_elt10 (FiniteMap.Branch yuz1598 yuz1599 yuz1600 yuz1601 yuz1602) (FiniteMap.Branch yuz1603 yuz1604 yuz1605 yuz1606 yuz1607) (yuz1608,yuz1609)",fontsize=16,color="black",shape="box"];43014 -> 43026[label="",style="solid", color="black", weight=3];
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48.79/29.30	43015[label="FiniteMap.glueBal2Mid_elt10 (FiniteMap.Branch yuz1598 yuz1599 yuz1600 yuz1601 yuz1602) (FiniteMap.Branch yuz1603 yuz1604 yuz1605 yuz1606 yuz1607) (FiniteMap.findMax (FiniteMap.Branch yuz16120 yuz16121 yuz16122 yuz16123 yuz16124))",fontsize=16,color="magenta"];43015 -> 43027[label="",style="dashed", color="magenta", weight=3];
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48.79/29.30	42759[label="FiniteMap.mkBalBranch6Double_R yuz340 yuz341 yuz344 (FiniteMap.Branch yuz14990 yuz14991 yuz14992 yuz14993 (FiniteMap.Branch yuz149940 yuz149941 yuz149942 yuz149943 yuz149944)) (FiniteMap.Branch yuz14990 yuz14991 yuz14992 yuz14993 (FiniteMap.Branch yuz149940 yuz149941 yuz149942 yuz149943 yuz149944)) yuz344",fontsize=16,color="black",shape="box"];42759 -> 42800[label="",style="solid", color="black", weight=3];
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48.79/29.30	42907[label="FiniteMap.mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))))))) yuz14990 yuz14991 yuz14993 yuz149943",fontsize=16,color="magenta"];42907 -> 43009[label="",style="dashed", color="magenta", weight=3];
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48.79/29.30	43009[label="yuz14993",fontsize=16,color="green",shape="box"];43010[label="yuz14990",fontsize=16,color="green",shape="box"];43011[label="yuz14991",fontsize=16,color="green",shape="box"];43012[label="Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))))",fontsize=16,color="green",shape="box"];43013[label="yuz149943",fontsize=16,color="green",shape="box"];43022[label="yuz1579",fontsize=16,color="green",shape="box"];43023[label="yuz1578",fontsize=16,color="green",shape="box"];43024[label="yuz1580",fontsize=16,color="green",shape="box"];43025[label="yuz1577",fontsize=16,color="green",shape="box"];}
48.79/29.30	
48.79/29.30	----------------------------------------
48.79/29.30	
48.79/29.30	(14)
48.79/29.30	Complex Obligation (AND)
48.79/29.30	
48.79/29.30	----------------------------------------
48.79/29.30	
48.79/29.30	(15)
48.79/29.30	Obligation:
48.79/29.30	Q DP problem:
48.79/29.30	The TRS P consists of the following rules:
48.79/29.30	
48.79/29.30	   new_primMulNat(Succ(yuz400000), yuz60100) -> new_primMulNat(yuz400000, yuz60100)
48.79/29.30	
48.79/29.30	R is empty.
48.79/29.30	Q is empty.
48.79/29.30	We have to consider all minimal (P,Q,R)-chains.
48.79/29.30	----------------------------------------
48.79/29.30	
48.79/29.30	(16) QDPSizeChangeProof (EQUIVALENT)
48.79/29.30	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. 
48.79/29.30	
48.79/29.30	From the DPs we obtained the following set of size-change graphs:
48.79/29.30	*new_primMulNat(Succ(yuz400000), yuz60100) -> new_primMulNat(yuz400000, yuz60100)
48.79/29.30	The graph contains the following edges 1 > 1, 2 >= 2
48.79/29.30	
48.79/29.30	
48.79/29.30	----------------------------------------
48.79/29.30	
48.79/29.30	(17)
48.79/29.30	YES
48.79/29.30	
48.79/29.30	----------------------------------------
48.79/29.30	
48.79/29.30	(18)
48.79/29.30	Obligation:
48.79/29.30	Q DP problem:
48.79/29.30	The TRS P consists of the following rules:
48.79/29.30	
48.79/29.30	   new_primMulNat0(Succ(yuz40100), Succ(yuz60000)) -> new_primMulNat0(yuz40100, Succ(yuz60000))
48.79/29.30	
48.79/29.30	R is empty.
48.79/29.30	Q is empty.
48.79/29.30	We have to consider all minimal (P,Q,R)-chains.
48.79/29.30	----------------------------------------
48.79/29.30	
48.79/29.30	(19) QDPSizeChangeProof (EQUIVALENT)
48.79/29.30	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. 
48.79/29.30	
48.79/29.30	From the DPs we obtained the following set of size-change graphs:
48.79/29.30	*new_primMulNat0(Succ(yuz40100), Succ(yuz60000)) -> new_primMulNat0(yuz40100, Succ(yuz60000))
48.79/29.30	The graph contains the following edges 1 > 1, 2 >= 2
48.79/29.30	
48.79/29.30	
48.79/29.30	----------------------------------------
48.79/29.30	
48.79/29.30	(20)
48.79/29.30	YES
48.79/29.30	
48.79/29.30	----------------------------------------
48.79/29.30	
48.79/29.30	(21)
48.79/29.30	Obligation:
48.79/29.30	Q DP problem:
48.79/29.30	The TRS P consists of the following rules:
48.79/29.30	
48.79/29.30	   new_addToFM_C1(yuz1387, yuz1388, yuz1389, yuz1390, yuz1391, yuz1392, yuz1393, True, bb, bc) -> new_addToFM_C(yuz1391, yuz1392, yuz1393, bb, bc)
48.79/29.30	   new_addToFM_C2(yuz1368, yuz1369, yuz1370, yuz1371, yuz1372, yuz1373, yuz1374, False, h, ba) -> new_addToFM_C1(yuz1368, yuz1369, yuz1370, yuz1371, yuz1372, yuz1373, yuz1374, new_gt(yuz1373, yuz1368, h), h, ba)
48.79/29.30	   new_addToFM_C2(yuz1368, yuz1369, yuz1370, Branch(yuz13710, yuz13711, yuz13712, yuz13713, yuz13714), yuz1372, yuz1373, yuz1374, True, h, ba) -> new_addToFM_C2(yuz13710, yuz13711, yuz13712, yuz13713, yuz13714, yuz1373, yuz1374, new_lt(yuz1373, yuz13710, h), h, ba)
48.79/29.30	   new_addToFM_C(Branch(yuz13710, yuz13711, yuz13712, yuz13713, yuz13714), yuz1373, yuz1374, h, ba) -> new_addToFM_C2(yuz13710, yuz13711, yuz13712, yuz13713, yuz13714, yuz1373, yuz1374, new_lt(yuz1373, yuz13710, h), h, ba)
48.79/29.30	
48.79/29.30	The TRS R consists of the following rules:
48.79/29.30	
48.79/29.30	   new_esEs1(Pos(Zero), Neg(Zero)) -> new_esEs4
48.79/29.30	   new_esEs1(Neg(Zero), Pos(Zero)) -> new_esEs4
48.79/29.30	   new_lt(yuz1373, yuz13710, ty_Int) -> new_lt0(yuz1373, yuz13710)
48.79/29.30	   new_esEs10 -> True
48.79/29.30	   new_lt(yuz1373, yuz13710, ty_Ordering) -> error([])
48.79/29.30	   new_esEs2(Succ(yuz23000), Succ(yuz1300000)) -> new_esEs2(yuz23000, yuz1300000)
48.79/29.30	   new_primPlusNat0(Zero, Zero) -> Zero
48.79/29.30	   new_lt1(Float(yuz400, Neg(yuz4010)), Float(yuz600, Pos(yuz6010))) -> new_esEs8(new_sr0(yuz400, yuz6010), new_sr(yuz4010, yuz600))
48.79/29.30	   new_sr1(Pos(yuz4000), yuz6010) -> Pos(new_primMulNat1(yuz4000, yuz6010))
48.79/29.30	   new_lt(yuz1373, yuz13710, app(app(app(ty_@3, bd), be), bf)) -> error([])
48.79/29.30	   new_esEs1(Pos(Zero), Pos(Succ(yuz1600))) -> new_esEs2(Zero, Succ(yuz1600))
48.79/29.30	   new_esEs11 -> False
48.79/29.30	   new_gt0(yuz1373, yuz1368) -> new_esEs7(yuz1373, yuz1368)
48.79/29.30	   new_sr0(Pos(yuz4000), yuz6010) -> Neg(new_primMulNat1(yuz4000, yuz6010))
48.79/29.30	   new_esEs2(Succ(yuz23000), Zero) -> new_esEs3
48.79/29.30	   new_sr0(Neg(yuz4000), yuz6010) -> Pos(new_primMulNat1(yuz4000, yuz6010))
48.79/29.30	   new_esEs7(Pos(Succ(yuz137300)), Neg(yuz13680)) -> new_esEs10
48.79/29.30	   new_lt1(Float(yuz400, Neg(yuz4010)), Float(yuz600, Neg(yuz6010))) -> new_esEs8(new_sr0(yuz400, yuz6010), new_sr2(yuz4010, yuz600))
48.79/29.30	   new_lt(yuz1373, yuz13710, ty_Char) -> error([])
48.79/29.30	   new_primPlusNat0(Succ(yuz15200), Succ(yuz601000)) -> Succ(Succ(new_primPlusNat0(yuz15200, yuz601000)))
48.79/29.30	   new_gt(yuz1373, yuz1368, app(app(ty_Either, bh), ca)) -> error([])
48.79/29.30	   new_gt(yuz1373, yuz1368, ty_Integer) -> error([])
48.79/29.30	   new_lt(yuz1373, yuz13710, ty_Bool) -> error([])
48.79/29.30	   new_sr1(Neg(yuz4000), yuz6010) -> Neg(new_primMulNat1(yuz4000, yuz6010))
48.79/29.30	   new_lt(yuz1373, yuz13710, ty_Double) -> error([])
48.79/29.30	   new_lt(yuz1373, yuz13710, app(app(ty_@2, cd), ce)) -> error([])
48.79/29.30	   new_esEs1(Neg(Zero), Pos(Succ(yuz1600))) -> new_esEs5
48.79/29.30	   new_esEs8(yuz21, yuz16) -> new_esEs1(yuz21, yuz16)
48.79/29.30	   new_gt(Float(yuz13730, Pos(yuz137310)), Float(yuz13680, Pos(yuz136810)), ty_Float) -> new_esEs7(new_sr1(yuz13730, yuz136810), new_sr(yuz137310, yuz13680))
48.79/29.30	   new_lt(yuz1373, yuz13710, ty_@0) -> error([])
48.79/29.30	   new_gt(yuz1373, yuz1368, ty_Double) -> error([])
48.79/29.30	   new_esEs9(Succ(yuz1373000), Zero) -> new_esEs10
48.79/29.30	   new_esEs7(Pos(Zero), Pos(Succ(yuz136800))) -> new_esEs12(Zero, yuz136800)
48.79/29.30	   new_esEs7(Pos(Zero), Pos(Zero)) -> new_esEs11
48.79/29.30	   new_gt(yuz1373, yuz1368, ty_@0) -> error([])
48.79/29.30	   new_esEs6 -> False
48.79/29.30	   new_esEs12(Succ(yuz136800), yuz137300) -> new_esEs9(yuz136800, yuz137300)
48.79/29.30	   new_gt(Float(yuz13730, Pos(yuz137310)), Float(yuz13680, Neg(yuz136810)), ty_Float) -> new_esEs7(new_sr1(yuz13730, yuz136810), new_sr2(yuz137310, yuz13680))
48.79/29.30	   new_esEs7(Neg(Zero), Neg(Succ(yuz136800))) -> new_esEs13(yuz136800, Zero)
48.79/29.30	   new_esEs13(yuz137300, Succ(yuz136800)) -> new_esEs9(yuz137300, yuz136800)
48.79/29.30	   new_gt(yuz1373, yuz1368, app(ty_Maybe, cc)) -> error([])
48.79/29.30	   new_esEs7(Neg(Succ(yuz137300)), Neg(yuz13680)) -> new_esEs12(yuz13680, yuz137300)
48.79/29.30	   new_esEs2(Zero, Succ(yuz1300000)) -> new_esEs5
48.79/29.30	   new_esEs5 -> True
48.79/29.30	   new_sr2(yuz4010, Neg(yuz6000)) -> Pos(new_primMulNat1(yuz4010, yuz6000))
48.79/29.30	   new_esEs1(Neg(Zero), Neg(Succ(yuz1600))) -> new_esEs2(Succ(yuz1600), Zero)
48.79/29.30	   new_lt1(Float(yuz400, Pos(yuz4010)), Float(yuz600, Pos(yuz6010))) -> new_esEs8(new_sr1(yuz400, yuz6010), new_sr(yuz4010, yuz600))
48.79/29.30	   new_gt(yuz1373, yuz1368, app(ty_Ratio, cb)) -> error([])
48.79/29.30	   new_primPlusNat0(Succ(yuz15200), Zero) -> Succ(yuz15200)
48.79/29.30	   new_primPlusNat0(Zero, Succ(yuz601000)) -> Succ(yuz601000)
48.79/29.30	   new_gt(yuz1373, yuz1368, ty_Ordering) -> error([])
48.79/29.30	   new_lt(yuz1373, yuz13710, app(ty_Ratio, cb)) -> error([])
48.79/29.30	   new_esEs1(Neg(Succ(yuz2100)), Neg(yuz160)) -> new_esEs2(yuz160, Succ(yuz2100))
48.79/29.30	   new_esEs9(Zero, Zero) -> new_esEs11
48.79/29.30	   new_gt(Float(yuz13730, Neg(yuz137310)), Float(yuz13680, Neg(yuz136810)), ty_Float) -> new_esEs7(new_sr0(yuz13730, yuz136810), new_sr2(yuz137310, yuz13680))
48.79/29.30	   new_esEs7(Pos(Zero), Neg(Zero)) -> new_esEs11
48.79/29.30	   new_esEs7(Neg(Zero), Pos(Zero)) -> new_esEs11
48.79/29.30	   new_esEs7(Neg(Succ(yuz137300)), Pos(yuz13680)) -> new_esEs6
48.79/29.30	   new_esEs9(Zero, Succ(yuz1368000)) -> new_esEs6
48.79/29.30	   new_esEs3 -> False
48.79/29.30	   new_primMulNat1(Zero, Zero) -> Zero
48.79/29.30	   new_lt0(yuz21, yuz16) -> new_esEs8(yuz21, yuz16)
48.79/29.30	   new_gt(yuz1373, yuz1368, app(app(app(ty_@3, bd), be), bf)) -> error([])
48.79/29.30	   new_esEs13(yuz137300, Zero) -> new_esEs10
48.79/29.30	   new_lt(yuz1373, yuz13710, ty_Float) -> new_lt1(yuz1373, yuz13710)
48.79/29.30	   new_esEs1(Pos(Succ(yuz2100)), Neg(yuz160)) -> new_esEs3
48.79/29.30	   new_esEs7(Neg(Zero), Pos(Succ(yuz136800))) -> new_esEs6
48.79/29.30	   new_lt1(Float(yuz400, Pos(yuz4010)), Float(yuz600, Neg(yuz6010))) -> new_esEs8(new_sr1(yuz400, yuz6010), new_sr2(yuz4010, yuz600))
48.79/29.30	   new_esEs4 -> False
48.79/29.30	   new_gt(Float(yuz13730, Neg(yuz137310)), Float(yuz13680, Pos(yuz136810)), ty_Float) -> new_esEs7(new_sr0(yuz13730, yuz136810), new_sr(yuz137310, yuz13680))
48.79/29.30	   new_sr(yuz4010, Pos(yuz6000)) -> Pos(new_primMulNat1(yuz4010, yuz6000))
48.79/29.30	   new_esEs1(Neg(Succ(yuz2100)), Pos(yuz160)) -> new_esEs5
48.79/29.30	   new_lt(yuz1373, yuz13710, app(ty_Maybe, cc)) -> error([])
48.79/29.30	   new_gt(yuz1373, yuz1368, app(ty_[], bg)) -> error([])
48.79/29.30	   new_esEs1(Pos(Zero), Pos(Zero)) -> new_esEs4
48.79/29.30	   new_esEs7(Neg(Zero), Neg(Zero)) -> new_esEs11
48.79/29.30	   new_primMulNat1(Succ(yuz40100), Zero) -> Zero
48.79/29.30	   new_primMulNat1(Zero, Succ(yuz60000)) -> Zero
48.79/29.30	   new_sr2(yuz4010, Pos(yuz6000)) -> Neg(new_primMulNat1(yuz4010, yuz6000))
48.79/29.30	   new_esEs1(Neg(Zero), Neg(Zero)) -> new_esEs4
48.79/29.30	   new_gt(yuz1373, yuz1368, app(app(ty_@2, cd), ce)) -> error([])
48.79/29.30	   new_gt(yuz1373, yuz1368, ty_Bool) -> error([])
48.79/29.30	   new_lt(yuz1373, yuz13710, app(ty_[], bg)) -> error([])
48.79/29.30	   new_esEs7(Pos(Zero), Neg(Succ(yuz136800))) -> new_esEs10
48.79/29.30	   new_esEs12(Zero, yuz137300) -> new_esEs6
48.79/29.30	   new_lt(yuz1373, yuz13710, app(app(ty_Either, bh), ca)) -> error([])
48.79/29.30	   new_gt(yuz1373, yuz1368, ty_Char) -> error([])
48.79/29.30	   new_sr(yuz4010, Neg(yuz6000)) -> Neg(new_primMulNat1(yuz4010, yuz6000))
48.79/29.30	   new_lt(yuz1373, yuz13710, ty_Integer) -> error([])
48.79/29.30	   new_primMulNat1(Succ(yuz40100), Succ(yuz60000)) -> new_primPlusNat0(new_primMulNat1(yuz40100, Succ(yuz60000)), Succ(yuz60000))
48.79/29.30	   new_gt(yuz1373, yuz1368, ty_Int) -> new_gt0(yuz1373, yuz1368)
48.79/29.30	   new_esEs9(Succ(yuz1373000), Succ(yuz1368000)) -> new_esEs9(yuz1373000, yuz1368000)
48.79/29.30	   new_esEs7(Pos(Succ(yuz137300)), Pos(yuz13680)) -> new_esEs13(yuz137300, yuz13680)
48.79/29.30	   new_esEs1(Pos(Zero), Neg(Succ(yuz1600))) -> new_esEs3
48.79/29.30	   new_esEs1(Pos(Succ(yuz2100)), Pos(yuz160)) -> new_esEs2(Succ(yuz2100), yuz160)
48.79/29.30	   new_esEs2(Zero, Zero) -> new_esEs4
48.79/29.30	
48.79/29.30	The set Q consists of the following terms:
48.79/29.30	
48.79/29.30	   new_lt(x0, x1, ty_Char)
48.79/29.30	   new_lt1(Float(x0, Neg(x1)), Float(x2, Neg(x3)))
48.79/29.30	   new_lt1(Float(x0, Neg(x1)), Float(x2, Pos(x3)))
48.79/29.30	   new_lt1(Float(x0, Pos(x1)), Float(x2, Neg(x3)))
48.79/29.30	   new_lt(x0, x1, ty_@0)
48.79/29.30	   new_esEs1(Pos(Succ(x0)), Pos(x1))
48.79/29.30	   new_primPlusNat0(Succ(x0), Succ(x1))
48.79/29.30	   new_esEs9(Zero, Succ(x0))
48.79/29.30	   new_gt(x0, x1, app(ty_Ratio, x2))
48.79/29.30	   new_esEs2(Succ(x0), Zero)
48.79/29.30	   new_primMulNat1(Zero, Succ(x0))
48.79/29.30	   new_esEs7(Neg(Zero), Neg(Succ(x0)))
48.79/29.30	   new_esEs7(Neg(Succ(x0)), Neg(x1))
48.79/29.30	   new_lt(x0, x1, app(app(ty_@2, x2), x3))
48.79/29.30	   new_gt(Float(x0, Neg(x1)), Float(x2, Neg(x3)), ty_Float)
48.79/29.30	   new_lt1(Float(x0, Pos(x1)), Float(x2, Pos(x3)))
48.79/29.30	   new_lt(x0, x1, ty_Double)
48.79/29.30	   new_lt(x0, x1, app(ty_[], x2))
48.79/29.30	   new_gt(x0, x1, app(ty_Maybe, x2))
48.79/29.30	   new_esEs1(Neg(Succ(x0)), Neg(x1))
48.79/29.30	   new_esEs7(Pos(Zero), Neg(Zero))
48.79/29.30	   new_esEs7(Neg(Zero), Pos(Zero))
48.79/29.30	   new_gt(x0, x1, ty_Ordering)
48.79/29.30	   new_esEs9(Succ(x0), Zero)
48.79/29.30	   new_lt(x0, x1, app(app(ty_Either, x2), x3))
48.79/29.30	   new_lt(x0, x1, app(ty_Ratio, x2))
48.79/29.30	   new_gt(x0, x1, ty_Double)
48.79/29.30	   new_lt(x0, x1, app(ty_Maybe, x2))
48.79/29.30	   new_esEs12(Zero, x0)
48.79/29.30	   new_lt(x0, x1, ty_Ordering)
48.79/29.30	   new_esEs7(Neg(Succ(x0)), Pos(x1))
48.79/29.30	   new_esEs7(Pos(Succ(x0)), Neg(x1))
48.79/29.30	   new_gt(Float(x0, Neg(x1)), Float(x2, Pos(x3)), ty_Float)
48.79/29.30	   new_gt(Float(x0, Pos(x1)), Float(x2, Neg(x3)), ty_Float)
48.79/29.30	   new_lt(x0, x1, ty_Integer)
48.79/29.30	   new_esEs7(Pos(Zero), Pos(Succ(x0)))
48.79/29.30	   new_primPlusNat0(Succ(x0), Zero)
48.79/29.30	   new_lt(x0, x1, app(app(app(ty_@3, x2), x3), x4))
48.79/29.30	   new_gt(x0, x1, ty_Char)
48.79/29.30	   new_gt(x0, x1, ty_Int)
48.79/29.30	   new_sr1(Pos(x0), x1)
48.79/29.30	   new_sr(x0, Neg(x1))
48.79/29.30	   new_primPlusNat0(Zero, Succ(x0))
48.79/29.30	   new_esEs9(Succ(x0), Succ(x1))
48.79/29.30	   new_lt(x0, x1, ty_Float)
48.79/29.30	   new_sr(x0, Pos(x1))
48.79/29.30	   new_esEs13(x0, Succ(x1))
48.79/29.30	   new_esEs1(Pos(Succ(x0)), Neg(x1))
48.79/29.30	   new_esEs1(Neg(Succ(x0)), Pos(x1))
48.79/29.30	   new_esEs7(Neg(Zero), Neg(Zero))
48.79/29.30	   new_sr0(Neg(x0), x1)
48.79/29.30	   new_lt(x0, x1, ty_Bool)
48.79/29.30	   new_gt(x0, x1, ty_Integer)
48.79/29.30	   new_esEs1(Pos(Zero), Neg(Zero))
48.79/29.30	   new_esEs1(Neg(Zero), Pos(Zero))
48.79/29.30	   new_esEs1(Neg(Zero), Neg(Succ(x0)))
48.79/29.30	   new_esEs3
48.79/29.30	   new_gt(x0, x1, app(app(app(ty_@3, x2), x3), x4))
48.79/29.30	   new_sr2(x0, Neg(x1))
48.79/29.30	   new_sr1(Neg(x0), x1)
48.79/29.30	   new_esEs1(Neg(Zero), Pos(Succ(x0)))
48.79/29.30	   new_gt(x0, x1, app(app(ty_@2, x2), x3))
48.79/29.30	   new_esEs1(Pos(Zero), Neg(Succ(x0)))
48.79/29.30	   new_gt(x0, x1, app(ty_[], x2))
48.79/29.30	   new_esEs1(Neg(Zero), Neg(Zero))
48.79/29.30	   new_esEs5
48.79/29.30	   new_esEs10
48.79/29.30	   new_sr2(x0, Pos(x1))
48.79/29.30	   new_esEs11
48.79/29.30	   new_esEs2(Zero, Succ(x0))
48.79/29.30	   new_esEs1(Pos(Zero), Pos(Zero))
48.79/29.30	   new_esEs7(Pos(Succ(x0)), Pos(x1))
48.79/29.30	   new_gt(x0, x1, ty_@0)
48.79/29.30	   new_gt(x0, x1, app(app(ty_Either, x2), x3))
48.79/29.30	   new_esEs6
48.79/29.30	   new_esEs2(Zero, Zero)
48.79/29.30	   new_sr0(Pos(x0), x1)
48.79/29.30	   new_gt0(x0, x1)
48.79/29.30	   new_esEs8(x0, x1)
48.79/29.30	   new_gt(Float(x0, Pos(x1)), Float(x2, Pos(x3)), ty_Float)
48.79/29.30	   new_esEs7(Neg(Zero), Pos(Succ(x0)))
48.79/29.30	   new_esEs7(Pos(Zero), Neg(Succ(x0)))
48.79/29.30	   new_esEs1(Pos(Zero), Pos(Succ(x0)))
48.79/29.30	   new_lt(x0, x1, ty_Int)
48.79/29.30	   new_gt(x0, x1, ty_Bool)
48.79/29.30	   new_esEs7(Pos(Zero), Pos(Zero))
48.79/29.30	   new_esEs2(Succ(x0), Succ(x1))
48.79/29.30	   new_lt0(x0, x1)
48.79/29.30	   new_esEs13(x0, Zero)
48.79/29.30	   new_primMulNat1(Succ(x0), Succ(x1))
48.79/29.30	   new_primMulNat1(Zero, Zero)
48.79/29.30	   new_primMulNat1(Succ(x0), Zero)
48.79/29.30	   new_esEs9(Zero, Zero)
48.79/29.30	   new_esEs4
48.79/29.30	   new_primPlusNat0(Zero, Zero)
48.79/29.30	   new_esEs12(Succ(x0), x1)
48.79/29.30	
48.79/29.30	We have to consider all minimal (P,Q,R)-chains.
48.79/29.30	----------------------------------------
48.79/29.30	
48.79/29.30	(22) QDPSizeChangeProof (EQUIVALENT)
48.79/29.30	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. 
48.79/29.30	
48.79/29.30	From the DPs we obtained the following set of size-change graphs:
48.79/29.30	*new_addToFM_C(Branch(yuz13710, yuz13711, yuz13712, yuz13713, yuz13714), yuz1373, yuz1374, h, ba) -> new_addToFM_C2(yuz13710, yuz13711, yuz13712, yuz13713, yuz13714, yuz1373, yuz1374, new_lt(yuz1373, yuz13710, h), h, ba)
48.79/29.30	The graph contains the following edges 1 > 1, 1 > 2, 1 > 3, 1 > 4, 1 > 5, 2 >= 6, 3 >= 7, 4 >= 9, 5 >= 10
48.79/29.30	
48.79/29.30	
48.79/29.30	*new_addToFM_C2(yuz1368, yuz1369, yuz1370, yuz1371, yuz1372, yuz1373, yuz1374, False, h, ba) -> new_addToFM_C1(yuz1368, yuz1369, yuz1370, yuz1371, yuz1372, yuz1373, yuz1374, new_gt(yuz1373, yuz1368, h), h, ba)
48.79/29.30	The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7, 9 >= 9, 10 >= 10
48.79/29.30	
48.79/29.30	
48.79/29.30	*new_addToFM_C1(yuz1387, yuz1388, yuz1389, yuz1390, yuz1391, yuz1392, yuz1393, True, bb, bc) -> new_addToFM_C(yuz1391, yuz1392, yuz1393, bb, bc)
48.79/29.30	The graph contains the following edges 5 >= 1, 6 >= 2, 7 >= 3, 9 >= 4, 10 >= 5
48.79/29.30	
48.79/29.30	
48.79/29.30	*new_addToFM_C2(yuz1368, yuz1369, yuz1370, Branch(yuz13710, yuz13711, yuz13712, yuz13713, yuz13714), yuz1372, yuz1373, yuz1374, True, h, ba) -> new_addToFM_C2(yuz13710, yuz13711, yuz13712, yuz13713, yuz13714, yuz1373, yuz1374, new_lt(yuz1373, yuz13710, h), h, ba)
48.79/29.30	The graph contains the following edges 4 > 1, 4 > 2, 4 > 3, 4 > 4, 4 > 5, 6 >= 6, 7 >= 7, 9 >= 9, 10 >= 10
48.79/29.30	
48.79/29.30	
48.79/29.30	----------------------------------------
48.79/29.30	
48.79/29.30	(23)
48.79/29.30	YES
48.79/29.30	
48.79/29.30	----------------------------------------
48.79/29.30	
48.79/29.30	(24)
48.79/29.30	Obligation:
48.79/29.30	Q DP problem:
48.79/29.30	The TRS P consists of the following rules:
48.79/29.30	
48.79/29.30	   new_glueVBal3GlueVBal1(yuz300, yuz301, yuz302, yuz303, Branch(yuz3040, yuz3041, yuz3042, yuz3043, yuz3044), yuz340, yuz341, yuz342, yuz343, yuz344, True, h, ba) -> new_glueVBal3(yuz3040, yuz3041, yuz3042, yuz3043, yuz3044, yuz340, yuz341, yuz342, yuz343, yuz344, h, ba)
48.79/29.30	   new_glueVBal3GlueVBal2(yuz300, yuz301, yuz302, yuz303, yuz304, yuz340, yuz341, yuz342, yuz343, yuz344, False, h, ba) -> new_glueVBal3GlueVBal1(yuz300, yuz301, yuz302, yuz303, yuz304, yuz340, yuz341, yuz342, yuz343, yuz344, new_lt0(new_sr3(new_glueVBal3Size_r(yuz300, yuz301, yuz302, yuz303, yuz304, yuz340, yuz341, yuz342, yuz343, yuz344, h, ba)), new_glueVBal3Size_l(yuz300, yuz301, yuz302, yuz303, yuz304, yuz340, yuz341, yuz342, yuz343, yuz344, h, ba)), h, ba)
48.79/29.30	   new_glueVBal3GlueVBal2(yuz300, yuz301, yuz302, yuz303, yuz304, yuz340, yuz341, yuz342, Branch(yuz3430, yuz3431, yuz3432, yuz3433, yuz3434), yuz344, True, h, ba) -> new_glueVBal3GlueVBal2(yuz300, yuz301, yuz302, yuz303, yuz304, yuz3430, yuz3431, yuz3432, yuz3433, yuz3434, new_lt0(new_sr3(new_glueVBal3Size_l(yuz300, yuz301, yuz302, yuz303, yuz304, yuz3430, yuz3431, yuz3432, yuz3433, yuz3434, h, ba)), new_glueVBal3Size_r(yuz300, yuz301, yuz302, yuz303, yuz304, yuz3430, yuz3431, yuz3432, yuz3433, yuz3434, h, ba)), h, ba)
48.79/29.30	   new_glueVBal3(yuz300, yuz301, yuz302, yuz303, yuz304, yuz3430, yuz3431, yuz3432, yuz3433, yuz3434, h, ba) -> new_glueVBal3GlueVBal2(yuz300, yuz301, yuz302, yuz303, yuz304, yuz3430, yuz3431, yuz3432, yuz3433, yuz3434, new_lt0(new_sr3(new_glueVBal3Size_l(yuz300, yuz301, yuz302, yuz303, yuz304, yuz3430, yuz3431, yuz3432, yuz3433, yuz3434, h, ba)), new_glueVBal3Size_r(yuz300, yuz301, yuz302, yuz303, yuz304, yuz3430, yuz3431, yuz3432, yuz3433, yuz3434, h, ba)), h, ba)
48.79/29.30	
48.79/29.30	The TRS R consists of the following rules:
48.79/29.30	
48.79/29.30	   new_esEs1(Pos(Zero), Pos(Zero)) -> new_esEs4
48.79/29.30	   new_esEs1(Pos(Zero), Neg(Zero)) -> new_esEs4
48.79/29.30	   new_esEs1(Neg(Zero), Pos(Zero)) -> new_esEs4
48.79/29.30	   new_primPlusNat0(Succ(yuz15200), Zero) -> Succ(yuz15200)
48.79/29.30	   new_primPlusNat0(Zero, Succ(yuz601000)) -> Succ(yuz601000)
48.79/29.30	   new_esEs1(Neg(Zero), Pos(Succ(yuz1600))) -> new_esEs5
48.79/29.30	   new_esEs2(Succ(yuz23000), Succ(yuz1300000)) -> new_esEs2(yuz23000, yuz1300000)
48.79/29.30	   new_primPlusNat0(Zero, Zero) -> Zero
48.79/29.30	   new_esEs1(Neg(Succ(yuz2100)), Neg(yuz160)) -> new_esEs2(yuz160, Succ(yuz2100))
48.79/29.30	   new_sizeFM0(Branch(yuz290, yuz291, yuz292, yuz293, yuz294), h, ba) -> yuz292
48.79/29.30	   new_esEs8(yuz21, yuz16) -> new_esEs1(yuz21, yuz16)
48.79/29.30	   new_esEs1(Neg(Zero), Neg(Zero)) -> new_esEs4
48.79/29.30	   new_primPlusNat1(Zero, yuz60100) -> Succ(yuz60100)
48.79/29.30	   new_esEs3 -> False
48.79/29.30	   new_esEs1(Pos(Zero), Pos(Succ(yuz1600))) -> new_esEs2(Zero, Succ(yuz1600))
48.79/29.30	   new_primMulNat3(Succ(yuz400000), yuz60100) -> new_primPlusNat1(new_primMulNat3(yuz400000, yuz60100), yuz60100)
48.79/29.30	   new_primMulNat3(Zero, yuz60100) -> Zero
48.79/29.30	   new_primMulInt(Pos(yuz13580)) -> Pos(new_primMulNat2(yuz13580))
48.79/29.30	   new_lt0(yuz21, yuz16) -> new_esEs8(yuz21, yuz16)
48.79/29.30	   new_sr3(yuz1358) -> new_primMulInt(yuz1358)
48.79/29.30	   new_primMulNat2(Succ(yuz135800)) -> new_primPlusNat0(new_primMulNat3(Succ(Succ(Succ(Succ(Zero)))), yuz135800), Succ(yuz135800))
48.79/29.30	   new_glueVBal3Size_r(yuz300, yuz301, yuz302, yuz303, yuz304, yuz340, yuz341, yuz342, yuz343, yuz344, h, ba) -> new_sizeFM0(Branch(yuz340, yuz341, yuz342, yuz343, yuz344), h, ba)
48.79/29.30	   new_esEs1(Pos(Succ(yuz2100)), Neg(yuz160)) -> new_esEs3
48.79/29.30	   new_esEs2(Succ(yuz23000), Zero) -> new_esEs3
48.79/29.30	   new_glueVBal3Size_l(yuz300, yuz301, yuz302, yuz303, yuz304, yuz340, yuz341, yuz342, yuz343, yuz344, h, ba) -> new_sizeFM0(Branch(yuz300, yuz301, yuz302, yuz303, yuz304), h, ba)
48.79/29.30	   new_esEs4 -> False
48.79/29.30	   new_sizeFM0(EmptyFM, h, ba) -> Pos(Zero)
48.79/29.30	   new_esEs2(Zero, Succ(yuz1300000)) -> new_esEs5
48.79/29.30	   new_esEs5 -> True
48.79/29.30	   new_esEs1(Pos(Zero), Neg(Succ(yuz1600))) -> new_esEs3
48.79/29.30	   new_esEs1(Neg(Zero), Neg(Succ(yuz1600))) -> new_esEs2(Succ(yuz1600), Zero)
48.79/29.30	   new_esEs1(Pos(Succ(yuz2100)), Pos(yuz160)) -> new_esEs2(Succ(yuz2100), yuz160)
48.79/29.30	   new_esEs1(Neg(Succ(yuz2100)), Pos(yuz160)) -> new_esEs5
48.79/29.30	   new_primPlusNat0(Succ(yuz15200), Succ(yuz601000)) -> Succ(Succ(new_primPlusNat0(yuz15200, yuz601000)))
48.79/29.30	   new_primPlusNat1(Succ(yuz1520), yuz60100) -> Succ(Succ(new_primPlusNat0(yuz1520, yuz60100)))
48.79/29.30	   new_primMulNat2(Zero) -> Zero
48.79/29.30	   new_esEs2(Zero, Zero) -> new_esEs4
48.79/29.30	   new_primMulInt(Neg(yuz13580)) -> Neg(new_primMulNat2(yuz13580))
48.79/29.30	
48.79/29.30	The set Q consists of the following terms:
48.79/29.30	
48.79/29.30	   new_primPlusNat1(Succ(x0), x1)
48.79/29.30	   new_esEs1(Pos(Zero), Neg(Zero))
48.79/29.30	   new_esEs1(Neg(Zero), Pos(Zero))
48.79/29.30	   new_primPlusNat1(Zero, x0)
48.79/29.30	   new_esEs1(Neg(Zero), Neg(Succ(x0)))
48.79/29.30	   new_esEs1(Pos(Succ(x0)), Pos(x1))
48.79/29.30	   new_esEs3
48.79/29.30	   new_primMulNat3(Succ(x0), x1)
48.79/29.30	   new_primMulInt(Pos(x0))
48.79/29.30	   new_primPlusNat0(Succ(x0), Succ(x1))
48.79/29.30	   new_glueVBal3Size_r(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.30	   new_sizeFM0(EmptyFM, x0, x1)
48.79/29.30	   new_esEs1(Neg(Zero), Pos(Succ(x0)))
48.79/29.30	   new_esEs1(Pos(Zero), Neg(Succ(x0)))
48.79/29.30	   new_esEs2(Succ(x0), Zero)
48.79/29.30	   new_esEs1(Neg(Zero), Neg(Zero))
48.79/29.30	   new_esEs5
48.79/29.30	   new_esEs2(Zero, Succ(x0))
48.79/29.30	   new_esEs1(Pos(Zero), Pos(Zero))
48.79/29.30	   new_primMulInt(Neg(x0))
48.79/29.30	   new_primMulNat2(Succ(x0))
48.79/29.30	   new_esEs1(Neg(Succ(x0)), Neg(x1))
48.79/29.30	   new_esEs2(Zero, Zero)
48.79/29.30	   new_sizeFM0(Branch(x0, x1, x2, x3, x4), x5, x6)
48.79/29.30	   new_esEs8(x0, x1)
48.79/29.30	   new_primPlusNat0(Succ(x0), Zero)
48.79/29.30	   new_primMulNat2(Zero)
48.79/29.30	   new_esEs1(Pos(Zero), Pos(Succ(x0)))
48.79/29.30	   new_primPlusNat0(Zero, Succ(x0))
48.79/29.30	   new_glueVBal3Size_l(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.30	   new_esEs2(Succ(x0), Succ(x1))
48.79/29.30	   new_lt0(x0, x1)
48.79/29.30	   new_sr3(x0)
48.79/29.30	   new_esEs1(Pos(Succ(x0)), Neg(x1))
48.79/29.30	   new_esEs1(Neg(Succ(x0)), Pos(x1))
48.79/29.30	   new_esEs4
48.79/29.30	   new_primPlusNat0(Zero, Zero)
48.79/29.30	   new_primMulNat3(Zero, x0)
48.79/29.30	
48.79/29.30	We have to consider all minimal (P,Q,R)-chains.
48.79/29.30	----------------------------------------
48.79/29.30	
48.79/29.30	(25) QDPSizeChangeProof (EQUIVALENT)
48.79/29.30	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. 
48.79/29.30	
48.79/29.30	From the DPs we obtained the following set of size-change graphs:
48.79/29.30	*new_glueVBal3(yuz300, yuz301, yuz302, yuz303, yuz304, yuz3430, yuz3431, yuz3432, yuz3433, yuz3434, h, ba) -> new_glueVBal3GlueVBal2(yuz300, yuz301, yuz302, yuz303, yuz304, yuz3430, yuz3431, yuz3432, yuz3433, yuz3434, new_lt0(new_sr3(new_glueVBal3Size_l(yuz300, yuz301, yuz302, yuz303, yuz304, yuz3430, yuz3431, yuz3432, yuz3433, yuz3434, h, ba)), new_glueVBal3Size_r(yuz300, yuz301, yuz302, yuz303, yuz304, yuz3430, yuz3431, yuz3432, yuz3433, yuz3434, h, ba)), h, ba)
48.79/29.30	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, 11 >= 12, 12 >= 13
48.79/29.30	
48.79/29.30	
48.79/29.30	*new_glueVBal3GlueVBal2(yuz300, yuz301, yuz302, yuz303, yuz304, yuz340, yuz341, yuz342, yuz343, yuz344, False, h, ba) -> new_glueVBal3GlueVBal1(yuz300, yuz301, yuz302, yuz303, yuz304, yuz340, yuz341, yuz342, yuz343, yuz344, new_lt0(new_sr3(new_glueVBal3Size_r(yuz300, yuz301, yuz302, yuz303, yuz304, yuz340, yuz341, yuz342, yuz343, yuz344, h, ba)), new_glueVBal3Size_l(yuz300, yuz301, yuz302, yuz303, yuz304, yuz340, yuz341, yuz342, yuz343, yuz344, h, ba)), h, ba)
48.79/29.30	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, 12 >= 12, 13 >= 13
48.79/29.30	
48.79/29.30	
48.79/29.30	*new_glueVBal3GlueVBal1(yuz300, yuz301, yuz302, yuz303, Branch(yuz3040, yuz3041, yuz3042, yuz3043, yuz3044), yuz340, yuz341, yuz342, yuz343, yuz344, True, h, ba) -> new_glueVBal3(yuz3040, yuz3041, yuz3042, yuz3043, yuz3044, yuz340, yuz341, yuz342, yuz343, yuz344, h, ba)
48.79/29.30	The graph contains the following edges 5 > 1, 5 > 2, 5 > 3, 5 > 4, 5 > 5, 6 >= 6, 7 >= 7, 8 >= 8, 9 >= 9, 10 >= 10, 12 >= 11, 13 >= 12
48.79/29.30	
48.79/29.30	
48.79/29.30	*new_glueVBal3GlueVBal2(yuz300, yuz301, yuz302, yuz303, yuz304, yuz340, yuz341, yuz342, Branch(yuz3430, yuz3431, yuz3432, yuz3433, yuz3434), yuz344, True, h, ba) -> new_glueVBal3GlueVBal2(yuz300, yuz301, yuz302, yuz303, yuz304, yuz3430, yuz3431, yuz3432, yuz3433, yuz3434, new_lt0(new_sr3(new_glueVBal3Size_l(yuz300, yuz301, yuz302, yuz303, yuz304, yuz3430, yuz3431, yuz3432, yuz3433, yuz3434, h, ba)), new_glueVBal3Size_r(yuz300, yuz301, yuz302, yuz303, yuz304, yuz3430, yuz3431, yuz3432, yuz3433, yuz3434, h, ba)), h, ba)
48.79/29.30	The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 9 > 6, 9 > 7, 9 > 8, 9 > 9, 9 > 10, 12 >= 12, 13 >= 13
48.79/29.30	
48.79/29.30	
48.79/29.30	----------------------------------------
48.79/29.30	
48.79/29.30	(26)
48.79/29.30	YES
48.79/29.30	
48.79/29.30	----------------------------------------
48.79/29.30	
48.79/29.30	(27)
48.79/29.30	Obligation:
48.79/29.30	Q DP problem:
48.79/29.30	The TRS P consists of the following rules:
48.79/29.30	
48.79/29.30	   new_filterFM1(yuz3, yuz40, yuz41, yuz42, yuz43, yuz44, h) -> new_filterFM(yuz3, yuz43, h)
48.79/29.30	   new_filterFM(yuz3, Branch(yuz40, yuz41, yuz42, yuz43, yuz44), h) -> new_filterFM1(yuz3, yuz40, yuz41, yuz42, yuz43, yuz44, h)
48.79/29.30	   new_filterFM1(yuz3, yuz40, yuz41, yuz42, yuz43, yuz44, h) -> new_filterFM(yuz3, yuz44, h)
48.79/29.30	
48.79/29.30	R is empty.
48.79/29.30	Q is empty.
48.79/29.30	We have to consider all minimal (P,Q,R)-chains.
48.79/29.30	----------------------------------------
48.79/29.30	
48.79/29.30	(28) QDPSizeChangeProof (EQUIVALENT)
48.79/29.30	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. 
48.79/29.30	
48.79/29.30	From the DPs we obtained the following set of size-change graphs:
48.79/29.30	*new_filterFM(yuz3, Branch(yuz40, yuz41, yuz42, yuz43, yuz44), h) -> new_filterFM1(yuz3, yuz40, yuz41, yuz42, yuz43, yuz44, h)
48.79/29.30	The graph contains the following edges 1 >= 1, 2 > 2, 2 > 3, 2 > 4, 2 > 5, 2 > 6, 3 >= 7
48.79/29.30	
48.79/29.30	
48.79/29.30	*new_filterFM1(yuz3, yuz40, yuz41, yuz42, yuz43, yuz44, h) -> new_filterFM(yuz3, yuz43, h)
48.79/29.30	The graph contains the following edges 1 >= 1, 5 >= 2, 7 >= 3
48.79/29.30	
48.79/29.30	
48.79/29.30	*new_filterFM1(yuz3, yuz40, yuz41, yuz42, yuz43, yuz44, h) -> new_filterFM(yuz3, yuz44, h)
48.79/29.30	The graph contains the following edges 1 >= 1, 6 >= 2, 7 >= 3
48.79/29.30	
48.79/29.30	
48.79/29.30	----------------------------------------
48.79/29.30	
48.79/29.30	(29)
48.79/29.30	YES
48.79/29.30	
48.79/29.30	----------------------------------------
48.79/29.30	
48.79/29.30	(30)
48.79/29.30	Obligation:
48.79/29.30	Q DP problem:
48.79/29.30	The TRS P consists of the following rules:
48.79/29.30	
48.79/29.30	   new_primMinusNat(Succ(yuz140200), Succ(yuz140100)) -> new_primMinusNat(yuz140200, yuz140100)
48.79/29.30	
48.79/29.30	R is empty.
48.79/29.30	Q is empty.
48.79/29.30	We have to consider all minimal (P,Q,R)-chains.
48.79/29.30	----------------------------------------
48.79/29.30	
48.79/29.30	(31) QDPSizeChangeProof (EQUIVALENT)
48.79/29.30	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. 
48.79/29.30	
48.79/29.30	From the DPs we obtained the following set of size-change graphs:
48.79/29.30	*new_primMinusNat(Succ(yuz140200), Succ(yuz140100)) -> new_primMinusNat(yuz140200, yuz140100)
48.79/29.30	The graph contains the following edges 1 > 1, 2 > 2
48.79/29.30	
48.79/29.30	
48.79/29.30	----------------------------------------
48.79/29.30	
48.79/29.30	(32)
48.79/29.30	YES
48.79/29.30	
48.79/29.30	----------------------------------------
48.79/29.30	
48.79/29.30	(33)
48.79/29.30	Obligation:
48.79/29.30	Q DP problem:
48.79/29.30	The TRS P consists of the following rules:
48.79/29.30	
48.79/29.30	   new_primPlusNat(Succ(yuz15200), Succ(yuz601000)) -> new_primPlusNat(yuz15200, yuz601000)
48.79/29.30	
48.79/29.30	R is empty.
48.79/29.30	Q is empty.
48.79/29.30	We have to consider all minimal (P,Q,R)-chains.
48.79/29.30	----------------------------------------
48.79/29.30	
48.79/29.30	(34) QDPSizeChangeProof (EQUIVALENT)
48.79/29.30	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. 
48.79/29.30	
48.79/29.30	From the DPs we obtained the following set of size-change graphs:
48.79/29.30	*new_primPlusNat(Succ(yuz15200), Succ(yuz601000)) -> new_primPlusNat(yuz15200, yuz601000)
48.79/29.30	The graph contains the following edges 1 > 1, 2 > 2
48.79/29.30	
48.79/29.30	
48.79/29.30	----------------------------------------
48.79/29.30	
48.79/29.30	(35)
48.79/29.30	YES
48.79/29.30	
48.79/29.30	----------------------------------------
48.79/29.30	
48.79/29.30	(36)
48.79/29.30	Obligation:
48.79/29.30	Q DP problem:
48.79/29.30	The TRS P consists of the following rules:
48.79/29.30	
48.79/29.30	   new_glueBal2Mid_key10(yuz1582, yuz1583, yuz1584, yuz1585, yuz1586, yuz1587, yuz1588, yuz1589, yuz1590, yuz1591, yuz1592, yuz1593, yuz1594, yuz1595, Branch(yuz15960, yuz15961, yuz15962, yuz15963, yuz15964), h, ba) -> new_glueBal2Mid_key10(yuz1582, yuz1583, yuz1584, yuz1585, yuz1586, yuz1587, yuz1588, yuz1589, yuz1590, yuz1591, yuz15960, yuz15961, yuz15962, yuz15963, yuz15964, h, ba)
48.79/29.30	
48.79/29.30	R is empty.
48.79/29.30	Q is empty.
48.79/29.30	We have to consider all minimal (P,Q,R)-chains.
48.79/29.30	----------------------------------------
48.79/29.30	
48.79/29.30	(37) QDPSizeChangeProof (EQUIVALENT)
48.79/29.30	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. 
48.79/29.30	
48.79/29.30	From the DPs we obtained the following set of size-change graphs:
48.79/29.30	*new_glueBal2Mid_key10(yuz1582, yuz1583, yuz1584, yuz1585, yuz1586, yuz1587, yuz1588, yuz1589, yuz1590, yuz1591, yuz1592, yuz1593, yuz1594, yuz1595, Branch(yuz15960, yuz15961, yuz15962, yuz15963, yuz15964), h, ba) -> new_glueBal2Mid_key10(yuz1582, yuz1583, yuz1584, yuz1585, yuz1586, yuz1587, yuz1588, yuz1589, yuz1590, yuz1591, yuz15960, yuz15961, yuz15962, yuz15963, yuz15964, h, ba)
48.79/29.30	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 > 11, 15 > 12, 15 > 13, 15 > 14, 15 > 15, 16 >= 16, 17 >= 17
48.79/29.30	
48.79/29.30	
48.79/29.30	----------------------------------------
48.79/29.30	
48.79/29.30	(38)
48.79/29.30	YES
48.79/29.30	
48.79/29.30	----------------------------------------
48.79/29.30	
48.79/29.30	(39)
48.79/29.30	Obligation:
48.79/29.30	Q DP problem:
48.79/29.30	The TRS P consists of the following rules:
48.79/29.30	
48.79/29.30	   new_deleteMin(yuz340, yuz341, yuz342, Branch(yuz3430, yuz3431, yuz3432, yuz3433, yuz3434), yuz344, h, ba) -> new_deleteMin(yuz3430, yuz3431, yuz3432, yuz3433, yuz3434, h, ba)
48.79/29.30	
48.79/29.30	R is empty.
48.79/29.30	Q is empty.
48.79/29.30	We have to consider all minimal (P,Q,R)-chains.
48.79/29.30	----------------------------------------
48.79/29.30	
48.79/29.30	(40) QDPSizeChangeProof (EQUIVALENT)
48.79/29.30	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. 
48.79/29.30	
48.79/29.30	From the DPs we obtained the following set of size-change graphs:
48.79/29.30	*new_deleteMin(yuz340, yuz341, yuz342, Branch(yuz3430, yuz3431, yuz3432, yuz3433, yuz3434), yuz344, h, ba) -> new_deleteMin(yuz3430, yuz3431, yuz3432, yuz3433, yuz3434, h, ba)
48.79/29.31	The graph contains the following edges 4 > 1, 4 > 2, 4 > 3, 4 > 4, 4 > 5, 6 >= 6, 7 >= 7
48.79/29.31	
48.79/29.31	
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(41)
48.79/29.31	YES
48.79/29.31	
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(42)
48.79/29.31	Obligation:
48.79/29.31	Q DP problem:
48.79/29.31	The TRS P consists of the following rules:
48.79/29.31	
48.79/29.31	   new_glueBal2Mid_elt20(yuz1535, yuz1536, yuz1537, yuz1538, yuz1539, yuz1540, yuz1541, yuz1542, yuz1543, yuz1544, yuz1545, yuz1546, yuz1547, Branch(yuz15480, yuz15481, yuz15482, yuz15483, yuz15484), yuz1549, h, ba) -> new_glueBal2Mid_elt20(yuz1535, yuz1536, yuz1537, yuz1538, yuz1539, yuz1540, yuz1541, yuz1542, yuz1543, yuz1544, yuz15480, yuz15481, yuz15482, yuz15483, yuz15484, h, ba)
48.79/29.31	
48.79/29.31	R is empty.
48.79/29.31	Q is empty.
48.79/29.31	We have to consider all minimal (P,Q,R)-chains.
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(43) QDPSizeChangeProof (EQUIVALENT)
48.79/29.31	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. 
48.79/29.31	
48.79/29.31	From the DPs we obtained the following set of size-change graphs:
48.79/29.31	*new_glueBal2Mid_elt20(yuz1535, yuz1536, yuz1537, yuz1538, yuz1539, yuz1540, yuz1541, yuz1542, yuz1543, yuz1544, yuz1545, yuz1546, yuz1547, Branch(yuz15480, yuz15481, yuz15482, yuz15483, yuz15484), yuz1549, h, ba) -> new_glueBal2Mid_elt20(yuz1535, yuz1536, yuz1537, yuz1538, yuz1539, yuz1540, yuz1541, yuz1542, yuz1543, yuz1544, yuz15480, yuz15481, yuz15482, yuz15483, yuz15484, h, ba)
48.79/29.31	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, 14 > 11, 14 > 12, 14 > 13, 14 > 14, 14 > 15, 16 >= 16, 17 >= 17
48.79/29.31	
48.79/29.31	
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(44)
48.79/29.31	YES
48.79/29.31	
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(45)
48.79/29.31	Obligation:
48.79/29.31	Q DP problem:
48.79/29.31	The TRS P consists of the following rules:
48.79/29.31	
48.79/29.31	   new_glueBal2Mid_key20(yuz1519, yuz1520, yuz1521, yuz1522, yuz1523, yuz1524, yuz1525, yuz1526, yuz1527, yuz1528, yuz1529, yuz1530, yuz1531, Branch(yuz15320, yuz15321, yuz15322, yuz15323, yuz15324), yuz1533, h, ba) -> new_glueBal2Mid_key20(yuz1519, yuz1520, yuz1521, yuz1522, yuz1523, yuz1524, yuz1525, yuz1526, yuz1527, yuz1528, yuz15320, yuz15321, yuz15322, yuz15323, yuz15324, h, ba)
48.79/29.31	
48.79/29.31	R is empty.
48.79/29.31	Q is empty.
48.79/29.31	We have to consider all minimal (P,Q,R)-chains.
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(46) QDPSizeChangeProof (EQUIVALENT)
48.79/29.31	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. 
48.79/29.31	
48.79/29.31	From the DPs we obtained the following set of size-change graphs:
48.79/29.31	*new_glueBal2Mid_key20(yuz1519, yuz1520, yuz1521, yuz1522, yuz1523, yuz1524, yuz1525, yuz1526, yuz1527, yuz1528, yuz1529, yuz1530, yuz1531, Branch(yuz15320, yuz15321, yuz15322, yuz15323, yuz15324), yuz1533, h, ba) -> new_glueBal2Mid_key20(yuz1519, yuz1520, yuz1521, yuz1522, yuz1523, yuz1524, yuz1525, yuz1526, yuz1527, yuz1528, yuz15320, yuz15321, yuz15322, yuz15323, yuz15324, h, ba)
48.79/29.31	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, 14 > 11, 14 > 12, 14 > 13, 14 > 14, 14 > 15, 16 >= 16, 17 >= 17
48.79/29.31	
48.79/29.31	
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(47)
48.79/29.31	YES
48.79/29.31	
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(48)
48.79/29.31	Obligation:
48.79/29.31	Q DP problem:
48.79/29.31	The TRS P consists of the following rules:
48.79/29.31	
48.79/29.31	   new_deleteMax(yuz300, yuz301, yuz302, yuz303, Branch(yuz3040, yuz3041, yuz3042, yuz3043, yuz3044), h, ba) -> new_deleteMax(yuz3040, yuz3041, yuz3042, yuz3043, yuz3044, h, ba)
48.79/29.31	
48.79/29.31	R is empty.
48.79/29.31	Q is empty.
48.79/29.31	We have to consider all minimal (P,Q,R)-chains.
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(49) QDPSizeChangeProof (EQUIVALENT)
48.79/29.31	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. 
48.79/29.31	
48.79/29.31	From the DPs we obtained the following set of size-change graphs:
48.79/29.31	*new_deleteMax(yuz300, yuz301, yuz302, yuz303, Branch(yuz3040, yuz3041, yuz3042, yuz3043, yuz3044), h, ba) -> new_deleteMax(yuz3040, yuz3041, yuz3042, yuz3043, yuz3044, h, ba)
48.79/29.31	The graph contains the following edges 5 > 1, 5 > 2, 5 > 3, 5 > 4, 5 > 5, 6 >= 6, 7 >= 7
48.79/29.31	
48.79/29.31	
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(50)
48.79/29.31	YES
48.79/29.31	
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(51)
48.79/29.31	Obligation:
48.79/29.31	Q DP problem:
48.79/29.31	The TRS P consists of the following rules:
48.79/29.31	
48.79/29.31	   new_glueBal2Mid_elt10(yuz1598, yuz1599, yuz1600, yuz1601, yuz1602, yuz1603, yuz1604, yuz1605, yuz1606, yuz1607, yuz1608, yuz1609, yuz1610, yuz1611, Branch(yuz16120, yuz16121, yuz16122, yuz16123, yuz16124), h, ba) -> new_glueBal2Mid_elt10(yuz1598, yuz1599, yuz1600, yuz1601, yuz1602, yuz1603, yuz1604, yuz1605, yuz1606, yuz1607, yuz16120, yuz16121, yuz16122, yuz16123, yuz16124, h, ba)
48.79/29.31	
48.79/29.31	R is empty.
48.79/29.31	Q is empty.
48.79/29.31	We have to consider all minimal (P,Q,R)-chains.
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(52) QDPSizeChangeProof (EQUIVALENT)
48.79/29.31	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. 
48.79/29.31	
48.79/29.31	From the DPs we obtained the following set of size-change graphs:
48.79/29.31	*new_glueBal2Mid_elt10(yuz1598, yuz1599, yuz1600, yuz1601, yuz1602, yuz1603, yuz1604, yuz1605, yuz1606, yuz1607, yuz1608, yuz1609, yuz1610, yuz1611, Branch(yuz16120, yuz16121, yuz16122, yuz16123, yuz16124), h, ba) -> new_glueBal2Mid_elt10(yuz1598, yuz1599, yuz1600, yuz1601, yuz1602, yuz1603, yuz1604, yuz1605, yuz1606, yuz1607, yuz16120, yuz16121, yuz16122, yuz16123, yuz16124, h, ba)
48.79/29.31	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 > 11, 15 > 12, 15 > 13, 15 > 14, 15 > 15, 16 >= 16, 17 >= 17
48.79/29.31	
48.79/29.31	
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(53)
48.79/29.31	YES
48.79/29.31	
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(54)
48.79/29.31	Obligation:
48.79/29.31	Q DP problem:
48.79/29.31	The TRS P consists of the following rules:
48.79/29.31	
48.79/29.31	   new_esEs0(Succ(yuz23000), Succ(yuz1300000)) -> new_esEs0(yuz23000, yuz1300000)
48.79/29.31	
48.79/29.31	R is empty.
48.79/29.31	Q is empty.
48.79/29.31	We have to consider all minimal (P,Q,R)-chains.
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(55) QDPSizeChangeProof (EQUIVALENT)
48.79/29.31	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. 
48.79/29.31	
48.79/29.31	From the DPs we obtained the following set of size-change graphs:
48.79/29.31	*new_esEs0(Succ(yuz23000), Succ(yuz1300000)) -> new_esEs0(yuz23000, yuz1300000)
48.79/29.31	The graph contains the following edges 1 > 1, 2 > 2
48.79/29.31	
48.79/29.31	
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(56)
48.79/29.31	YES
48.79/29.31	
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(57)
48.79/29.31	Obligation:
48.79/29.31	Q DP problem:
48.79/29.31	The TRS P consists of the following rules:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, Branch(yuz2040, yuz2041, yuz2042, yuz2043, yuz2044), yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3(yuz21, yuz22, yuz2040, yuz2041, yuz2042, yuz2043, yuz2044, yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.31	   new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_lt0(new_sr3(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_lt0(new_sr3(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_lt0(new_sr3(new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	
48.79/29.31	The TRS R consists of the following rules:
48.79/29.31	
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Zero)) -> new_esEs4
48.79/29.31	   new_primPlusNat0(Succ(yuz15200), Zero) -> Succ(yuz15200)
48.79/29.31	   new_primPlusNat0(Zero, Succ(yuz601000)) -> Succ(yuz601000)
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Succ(yuz1600))) -> new_esEs5
48.79/29.31	   new_esEs2(Succ(yuz23000), Succ(yuz1300000)) -> new_esEs2(yuz23000, yuz1300000)
48.79/29.31	   new_primPlusNat0(Zero, Zero) -> Zero
48.79/29.31	   new_esEs1(Neg(Succ(yuz2100)), Neg(yuz160)) -> new_esEs2(yuz160, Succ(yuz2100))
48.79/29.31	   new_esEs8(yuz21, yuz16) -> new_esEs1(yuz21, yuz16)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Zero)) -> new_esEs4
48.79/29.31	   new_primPlusNat1(Zero, yuz60100) -> Succ(yuz60100)
48.79/29.31	   new_esEs3 -> False
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Succ(yuz1600))) -> new_esEs2(Zero, Succ(yuz1600))
48.79/29.31	   new_primMulNat3(Succ(yuz400000), yuz60100) -> new_primPlusNat1(new_primMulNat3(yuz400000, yuz60100), yuz60100)
48.79/29.31	   new_primMulNat3(Zero, yuz60100) -> Zero
48.79/29.31	   new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.31	   new_primMulInt(Pos(yuz13580)) -> Pos(new_primMulNat2(yuz13580))
48.79/29.31	   new_lt0(yuz21, yuz16) -> new_esEs8(yuz21, yuz16)
48.79/29.31	   new_sr3(yuz1358) -> new_primMulInt(yuz1358)
48.79/29.31	   new_primMulNat2(Succ(yuz135800)) -> new_primPlusNat0(new_primMulNat3(Succ(Succ(Succ(Succ(Zero)))), yuz135800), Succ(yuz135800))
48.79/29.31	   new_esEs1(Pos(Succ(yuz2100)), Neg(yuz160)) -> new_esEs3
48.79/29.31	   new_esEs2(Succ(yuz23000), Zero) -> new_esEs3
48.79/29.31	   new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> yuz202
48.79/29.31	   new_esEs4 -> False
48.79/29.31	   new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)
48.79/29.31	   new_esEs2(Zero, Succ(yuz1300000)) -> new_esEs5
48.79/29.31	   new_esEs5 -> True
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Succ(yuz1600))) -> new_esEs3
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Succ(yuz1600))) -> new_esEs2(Succ(yuz1600), Zero)
48.79/29.31	   new_esEs1(Pos(Succ(yuz2100)), Pos(yuz160)) -> new_esEs2(Succ(yuz2100), yuz160)
48.79/29.31	   new_esEs1(Neg(Succ(yuz2100)), Pos(yuz160)) -> new_esEs5
48.79/29.31	   new_primPlusNat0(Succ(yuz15200), Succ(yuz601000)) -> Succ(Succ(new_primPlusNat0(yuz15200, yuz601000)))
48.79/29.31	   new_primPlusNat1(Succ(yuz1520), yuz60100) -> Succ(Succ(new_primPlusNat0(yuz1520, yuz60100)))
48.79/29.31	   new_primMulNat2(Zero) -> Zero
48.79/29.31	   new_esEs2(Zero, Zero) -> new_esEs4
48.79/29.31	   new_primMulInt(Neg(yuz13580)) -> Neg(new_primMulNat2(yuz13580))
48.79/29.31	
48.79/29.31	The set Q consists of the following terms:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3Size_r(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.31	   new_primPlusNat1(Succ(x0), x1)
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Zero))
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Zero))
48.79/29.31	   new_primPlusNat1(Zero, x0)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Succ(x0)))
48.79/29.31	   new_esEs1(Pos(Succ(x0)), Pos(x1))
48.79/29.31	   new_esEs3
48.79/29.31	   new_primMulNat3(Succ(x0), x1)
48.79/29.31	   new_mkVBalBranch3Size_l(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.31	   new_primMulInt(Pos(x0))
48.79/29.31	   new_primPlusNat0(Succ(x0), Succ(x1))
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Succ(x0)))
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Succ(x0)))
48.79/29.31	   new_esEs2(Succ(x0), Zero)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Zero))
48.79/29.31	   new_esEs5
48.79/29.31	   new_esEs2(Zero, Succ(x0))
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Zero))
48.79/29.31	   new_primMulInt(Neg(x0))
48.79/29.31	   new_primMulNat2(Succ(x0))
48.79/29.31	   new_esEs1(Neg(Succ(x0)), Neg(x1))
48.79/29.31	   new_esEs2(Zero, Zero)
48.79/29.31	   new_esEs8(x0, x1)
48.79/29.31	   new_primPlusNat0(Succ(x0), Zero)
48.79/29.31	   new_sizeFM(x0, x1, x2, x3, x4, x5, x6)
48.79/29.31	   new_primMulNat2(Zero)
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Succ(x0)))
48.79/29.31	   new_primPlusNat0(Zero, Succ(x0))
48.79/29.31	   new_esEs2(Succ(x0), Succ(x1))
48.79/29.31	   new_lt0(x0, x1)
48.79/29.31	   new_sr3(x0)
48.79/29.31	   new_esEs1(Pos(Succ(x0)), Neg(x1))
48.79/29.31	   new_esEs1(Neg(Succ(x0)), Pos(x1))
48.79/29.31	   new_esEs4
48.79/29.31	   new_primPlusNat0(Zero, Zero)
48.79/29.31	   new_primMulNat3(Zero, x0)
48.79/29.31	
48.79/29.31	We have to consider all minimal (P,Q,R)-chains.
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(58) TransformationProof (EQUIVALENT)
48.79/29.31	By rewriting [LPAR04] the rule new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_lt0(new_sr3(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba) at position [12] we obtained the following new rules [LPAR04]:
48.79/29.31	
48.79/29.31	   (new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs8(new_sr3(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba),new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs8(new_sr3(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba))
48.79/29.31	
48.79/29.31	
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(59)
48.79/29.31	Obligation:
48.79/29.31	Q DP problem:
48.79/29.31	The TRS P consists of the following rules:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, Branch(yuz2040, yuz2041, yuz2042, yuz2043, yuz2044), yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3(yuz21, yuz22, yuz2040, yuz2041, yuz2042, yuz2043, yuz2044, yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.31	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_lt0(new_sr3(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_lt0(new_sr3(new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	   new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs8(new_sr3(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	
48.79/29.31	The TRS R consists of the following rules:
48.79/29.31	
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Zero)) -> new_esEs4
48.79/29.31	   new_primPlusNat0(Succ(yuz15200), Zero) -> Succ(yuz15200)
48.79/29.31	   new_primPlusNat0(Zero, Succ(yuz601000)) -> Succ(yuz601000)
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Succ(yuz1600))) -> new_esEs5
48.79/29.31	   new_esEs2(Succ(yuz23000), Succ(yuz1300000)) -> new_esEs2(yuz23000, yuz1300000)
48.79/29.31	   new_primPlusNat0(Zero, Zero) -> Zero
48.79/29.31	   new_esEs1(Neg(Succ(yuz2100)), Neg(yuz160)) -> new_esEs2(yuz160, Succ(yuz2100))
48.79/29.31	   new_esEs8(yuz21, yuz16) -> new_esEs1(yuz21, yuz16)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Zero)) -> new_esEs4
48.79/29.31	   new_primPlusNat1(Zero, yuz60100) -> Succ(yuz60100)
48.79/29.31	   new_esEs3 -> False
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Succ(yuz1600))) -> new_esEs2(Zero, Succ(yuz1600))
48.79/29.31	   new_primMulNat3(Succ(yuz400000), yuz60100) -> new_primPlusNat1(new_primMulNat3(yuz400000, yuz60100), yuz60100)
48.79/29.31	   new_primMulNat3(Zero, yuz60100) -> Zero
48.79/29.31	   new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.31	   new_primMulInt(Pos(yuz13580)) -> Pos(new_primMulNat2(yuz13580))
48.79/29.31	   new_lt0(yuz21, yuz16) -> new_esEs8(yuz21, yuz16)
48.79/29.31	   new_sr3(yuz1358) -> new_primMulInt(yuz1358)
48.79/29.31	   new_primMulNat2(Succ(yuz135800)) -> new_primPlusNat0(new_primMulNat3(Succ(Succ(Succ(Succ(Zero)))), yuz135800), Succ(yuz135800))
48.79/29.31	   new_esEs1(Pos(Succ(yuz2100)), Neg(yuz160)) -> new_esEs3
48.79/29.31	   new_esEs2(Succ(yuz23000), Zero) -> new_esEs3
48.79/29.31	   new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> yuz202
48.79/29.31	   new_esEs4 -> False
48.79/29.31	   new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)
48.79/29.31	   new_esEs2(Zero, Succ(yuz1300000)) -> new_esEs5
48.79/29.31	   new_esEs5 -> True
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Succ(yuz1600))) -> new_esEs3
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Succ(yuz1600))) -> new_esEs2(Succ(yuz1600), Zero)
48.79/29.31	   new_esEs1(Pos(Succ(yuz2100)), Pos(yuz160)) -> new_esEs2(Succ(yuz2100), yuz160)
48.79/29.31	   new_esEs1(Neg(Succ(yuz2100)), Pos(yuz160)) -> new_esEs5
48.79/29.31	   new_primPlusNat0(Succ(yuz15200), Succ(yuz601000)) -> Succ(Succ(new_primPlusNat0(yuz15200, yuz601000)))
48.79/29.31	   new_primPlusNat1(Succ(yuz1520), yuz60100) -> Succ(Succ(new_primPlusNat0(yuz1520, yuz60100)))
48.79/29.31	   new_primMulNat2(Zero) -> Zero
48.79/29.31	   new_esEs2(Zero, Zero) -> new_esEs4
48.79/29.31	   new_primMulInt(Neg(yuz13580)) -> Neg(new_primMulNat2(yuz13580))
48.79/29.31	
48.79/29.31	The set Q consists of the following terms:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3Size_r(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.31	   new_primPlusNat1(Succ(x0), x1)
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Zero))
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Zero))
48.79/29.31	   new_primPlusNat1(Zero, x0)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Succ(x0)))
48.79/29.31	   new_esEs1(Pos(Succ(x0)), Pos(x1))
48.79/29.31	   new_esEs3
48.79/29.31	   new_primMulNat3(Succ(x0), x1)
48.79/29.31	   new_mkVBalBranch3Size_l(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.31	   new_primMulInt(Pos(x0))
48.79/29.31	   new_primPlusNat0(Succ(x0), Succ(x1))
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Succ(x0)))
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Succ(x0)))
48.79/29.31	   new_esEs2(Succ(x0), Zero)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Zero))
48.79/29.31	   new_esEs5
48.79/29.31	   new_esEs2(Zero, Succ(x0))
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Zero))
48.79/29.31	   new_primMulInt(Neg(x0))
48.79/29.31	   new_primMulNat2(Succ(x0))
48.79/29.31	   new_esEs1(Neg(Succ(x0)), Neg(x1))
48.79/29.31	   new_esEs2(Zero, Zero)
48.79/29.31	   new_esEs8(x0, x1)
48.79/29.31	   new_primPlusNat0(Succ(x0), Zero)
48.79/29.31	   new_sizeFM(x0, x1, x2, x3, x4, x5, x6)
48.79/29.31	   new_primMulNat2(Zero)
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Succ(x0)))
48.79/29.31	   new_primPlusNat0(Zero, Succ(x0))
48.79/29.31	   new_esEs2(Succ(x0), Succ(x1))
48.79/29.31	   new_lt0(x0, x1)
48.79/29.31	   new_sr3(x0)
48.79/29.31	   new_esEs1(Pos(Succ(x0)), Neg(x1))
48.79/29.31	   new_esEs1(Neg(Succ(x0)), Pos(x1))
48.79/29.31	   new_esEs4
48.79/29.31	   new_primPlusNat0(Zero, Zero)
48.79/29.31	   new_primMulNat3(Zero, x0)
48.79/29.31	
48.79/29.31	We have to consider all minimal (P,Q,R)-chains.
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(60) TransformationProof (EQUIVALENT)
48.79/29.31	By rewriting [LPAR04] the rule new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_lt0(new_sr3(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba) at position [12] we obtained the following new rules [LPAR04]:
48.79/29.31	
48.79/29.31	   (new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs8(new_sr3(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba),new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs8(new_sr3(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba))
48.79/29.31	
48.79/29.31	
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(61)
48.79/29.31	Obligation:
48.79/29.31	Q DP problem:
48.79/29.31	The TRS P consists of the following rules:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, Branch(yuz2040, yuz2041, yuz2042, yuz2043, yuz2044), yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3(yuz21, yuz22, yuz2040, yuz2041, yuz2042, yuz2043, yuz2044, yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.31	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_lt0(new_sr3(new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	   new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs8(new_sr3(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs8(new_sr3(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	
48.79/29.31	The TRS R consists of the following rules:
48.79/29.31	
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Zero)) -> new_esEs4
48.79/29.31	   new_primPlusNat0(Succ(yuz15200), Zero) -> Succ(yuz15200)
48.79/29.31	   new_primPlusNat0(Zero, Succ(yuz601000)) -> Succ(yuz601000)
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Succ(yuz1600))) -> new_esEs5
48.79/29.31	   new_esEs2(Succ(yuz23000), Succ(yuz1300000)) -> new_esEs2(yuz23000, yuz1300000)
48.79/29.31	   new_primPlusNat0(Zero, Zero) -> Zero
48.79/29.31	   new_esEs1(Neg(Succ(yuz2100)), Neg(yuz160)) -> new_esEs2(yuz160, Succ(yuz2100))
48.79/29.31	   new_esEs8(yuz21, yuz16) -> new_esEs1(yuz21, yuz16)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Zero)) -> new_esEs4
48.79/29.31	   new_primPlusNat1(Zero, yuz60100) -> Succ(yuz60100)
48.79/29.31	   new_esEs3 -> False
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Succ(yuz1600))) -> new_esEs2(Zero, Succ(yuz1600))
48.79/29.31	   new_primMulNat3(Succ(yuz400000), yuz60100) -> new_primPlusNat1(new_primMulNat3(yuz400000, yuz60100), yuz60100)
48.79/29.31	   new_primMulNat3(Zero, yuz60100) -> Zero
48.79/29.31	   new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.31	   new_primMulInt(Pos(yuz13580)) -> Pos(new_primMulNat2(yuz13580))
48.79/29.31	   new_lt0(yuz21, yuz16) -> new_esEs8(yuz21, yuz16)
48.79/29.31	   new_sr3(yuz1358) -> new_primMulInt(yuz1358)
48.79/29.31	   new_primMulNat2(Succ(yuz135800)) -> new_primPlusNat0(new_primMulNat3(Succ(Succ(Succ(Succ(Zero)))), yuz135800), Succ(yuz135800))
48.79/29.31	   new_esEs1(Pos(Succ(yuz2100)), Neg(yuz160)) -> new_esEs3
48.79/29.31	   new_esEs2(Succ(yuz23000), Zero) -> new_esEs3
48.79/29.31	   new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> yuz202
48.79/29.31	   new_esEs4 -> False
48.79/29.31	   new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)
48.79/29.31	   new_esEs2(Zero, Succ(yuz1300000)) -> new_esEs5
48.79/29.31	   new_esEs5 -> True
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Succ(yuz1600))) -> new_esEs3
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Succ(yuz1600))) -> new_esEs2(Succ(yuz1600), Zero)
48.79/29.31	   new_esEs1(Pos(Succ(yuz2100)), Pos(yuz160)) -> new_esEs2(Succ(yuz2100), yuz160)
48.79/29.31	   new_esEs1(Neg(Succ(yuz2100)), Pos(yuz160)) -> new_esEs5
48.79/29.31	   new_primPlusNat0(Succ(yuz15200), Succ(yuz601000)) -> Succ(Succ(new_primPlusNat0(yuz15200, yuz601000)))
48.79/29.31	   new_primPlusNat1(Succ(yuz1520), yuz60100) -> Succ(Succ(new_primPlusNat0(yuz1520, yuz60100)))
48.79/29.31	   new_primMulNat2(Zero) -> Zero
48.79/29.31	   new_esEs2(Zero, Zero) -> new_esEs4
48.79/29.31	   new_primMulInt(Neg(yuz13580)) -> Neg(new_primMulNat2(yuz13580))
48.79/29.31	
48.79/29.31	The set Q consists of the following terms:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3Size_r(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.31	   new_primPlusNat1(Succ(x0), x1)
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Zero))
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Zero))
48.79/29.31	   new_primPlusNat1(Zero, x0)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Succ(x0)))
48.79/29.31	   new_esEs1(Pos(Succ(x0)), Pos(x1))
48.79/29.31	   new_esEs3
48.79/29.31	   new_primMulNat3(Succ(x0), x1)
48.79/29.31	   new_mkVBalBranch3Size_l(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.31	   new_primMulInt(Pos(x0))
48.79/29.31	   new_primPlusNat0(Succ(x0), Succ(x1))
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Succ(x0)))
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Succ(x0)))
48.79/29.31	   new_esEs2(Succ(x0), Zero)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Zero))
48.79/29.31	   new_esEs5
48.79/29.31	   new_esEs2(Zero, Succ(x0))
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Zero))
48.79/29.31	   new_primMulInt(Neg(x0))
48.79/29.31	   new_primMulNat2(Succ(x0))
48.79/29.31	   new_esEs1(Neg(Succ(x0)), Neg(x1))
48.79/29.31	   new_esEs2(Zero, Zero)
48.79/29.31	   new_esEs8(x0, x1)
48.79/29.31	   new_primPlusNat0(Succ(x0), Zero)
48.79/29.31	   new_sizeFM(x0, x1, x2, x3, x4, x5, x6)
48.79/29.31	   new_primMulNat2(Zero)
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Succ(x0)))
48.79/29.31	   new_primPlusNat0(Zero, Succ(x0))
48.79/29.31	   new_esEs2(Succ(x0), Succ(x1))
48.79/29.31	   new_lt0(x0, x1)
48.79/29.31	   new_sr3(x0)
48.79/29.31	   new_esEs1(Pos(Succ(x0)), Neg(x1))
48.79/29.31	   new_esEs1(Neg(Succ(x0)), Pos(x1))
48.79/29.31	   new_esEs4
48.79/29.31	   new_primPlusNat0(Zero, Zero)
48.79/29.31	   new_primMulNat3(Zero, x0)
48.79/29.31	
48.79/29.31	We have to consider all minimal (P,Q,R)-chains.
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(62) TransformationProof (EQUIVALENT)
48.79/29.31	By rewriting [LPAR04] the rule new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_lt0(new_sr3(new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba) at position [12] we obtained the following new rules [LPAR04]:
48.79/29.31	
48.79/29.31	   (new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs8(new_sr3(new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba),new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs8(new_sr3(new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba))
48.79/29.31	
48.79/29.31	
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(63)
48.79/29.31	Obligation:
48.79/29.31	Q DP problem:
48.79/29.31	The TRS P consists of the following rules:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, Branch(yuz2040, yuz2041, yuz2042, yuz2043, yuz2044), yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3(yuz21, yuz22, yuz2040, yuz2041, yuz2042, yuz2043, yuz2044, yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.31	   new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs8(new_sr3(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs8(new_sr3(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs8(new_sr3(new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	
48.79/29.31	The TRS R consists of the following rules:
48.79/29.31	
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Zero)) -> new_esEs4
48.79/29.31	   new_primPlusNat0(Succ(yuz15200), Zero) -> Succ(yuz15200)
48.79/29.31	   new_primPlusNat0(Zero, Succ(yuz601000)) -> Succ(yuz601000)
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Succ(yuz1600))) -> new_esEs5
48.79/29.31	   new_esEs2(Succ(yuz23000), Succ(yuz1300000)) -> new_esEs2(yuz23000, yuz1300000)
48.79/29.31	   new_primPlusNat0(Zero, Zero) -> Zero
48.79/29.31	   new_esEs1(Neg(Succ(yuz2100)), Neg(yuz160)) -> new_esEs2(yuz160, Succ(yuz2100))
48.79/29.31	   new_esEs8(yuz21, yuz16) -> new_esEs1(yuz21, yuz16)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Zero)) -> new_esEs4
48.79/29.31	   new_primPlusNat1(Zero, yuz60100) -> Succ(yuz60100)
48.79/29.31	   new_esEs3 -> False
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Succ(yuz1600))) -> new_esEs2(Zero, Succ(yuz1600))
48.79/29.31	   new_primMulNat3(Succ(yuz400000), yuz60100) -> new_primPlusNat1(new_primMulNat3(yuz400000, yuz60100), yuz60100)
48.79/29.31	   new_primMulNat3(Zero, yuz60100) -> Zero
48.79/29.31	   new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.31	   new_primMulInt(Pos(yuz13580)) -> Pos(new_primMulNat2(yuz13580))
48.79/29.31	   new_lt0(yuz21, yuz16) -> new_esEs8(yuz21, yuz16)
48.79/29.31	   new_sr3(yuz1358) -> new_primMulInt(yuz1358)
48.79/29.31	   new_primMulNat2(Succ(yuz135800)) -> new_primPlusNat0(new_primMulNat3(Succ(Succ(Succ(Succ(Zero)))), yuz135800), Succ(yuz135800))
48.79/29.31	   new_esEs1(Pos(Succ(yuz2100)), Neg(yuz160)) -> new_esEs3
48.79/29.31	   new_esEs2(Succ(yuz23000), Zero) -> new_esEs3
48.79/29.31	   new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> yuz202
48.79/29.31	   new_esEs4 -> False
48.79/29.31	   new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)
48.79/29.31	   new_esEs2(Zero, Succ(yuz1300000)) -> new_esEs5
48.79/29.31	   new_esEs5 -> True
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Succ(yuz1600))) -> new_esEs3
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Succ(yuz1600))) -> new_esEs2(Succ(yuz1600), Zero)
48.79/29.31	   new_esEs1(Pos(Succ(yuz2100)), Pos(yuz160)) -> new_esEs2(Succ(yuz2100), yuz160)
48.79/29.31	   new_esEs1(Neg(Succ(yuz2100)), Pos(yuz160)) -> new_esEs5
48.79/29.31	   new_primPlusNat0(Succ(yuz15200), Succ(yuz601000)) -> Succ(Succ(new_primPlusNat0(yuz15200, yuz601000)))
48.79/29.31	   new_primPlusNat1(Succ(yuz1520), yuz60100) -> Succ(Succ(new_primPlusNat0(yuz1520, yuz60100)))
48.79/29.31	   new_primMulNat2(Zero) -> Zero
48.79/29.31	   new_esEs2(Zero, Zero) -> new_esEs4
48.79/29.31	   new_primMulInt(Neg(yuz13580)) -> Neg(new_primMulNat2(yuz13580))
48.79/29.31	
48.79/29.31	The set Q consists of the following terms:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3Size_r(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.31	   new_primPlusNat1(Succ(x0), x1)
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Zero))
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Zero))
48.79/29.31	   new_primPlusNat1(Zero, x0)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Succ(x0)))
48.79/29.31	   new_esEs1(Pos(Succ(x0)), Pos(x1))
48.79/29.31	   new_esEs3
48.79/29.31	   new_primMulNat3(Succ(x0), x1)
48.79/29.31	   new_mkVBalBranch3Size_l(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.31	   new_primMulInt(Pos(x0))
48.79/29.31	   new_primPlusNat0(Succ(x0), Succ(x1))
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Succ(x0)))
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Succ(x0)))
48.79/29.31	   new_esEs2(Succ(x0), Zero)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Zero))
48.79/29.31	   new_esEs5
48.79/29.31	   new_esEs2(Zero, Succ(x0))
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Zero))
48.79/29.31	   new_primMulInt(Neg(x0))
48.79/29.31	   new_primMulNat2(Succ(x0))
48.79/29.31	   new_esEs1(Neg(Succ(x0)), Neg(x1))
48.79/29.31	   new_esEs2(Zero, Zero)
48.79/29.31	   new_esEs8(x0, x1)
48.79/29.31	   new_primPlusNat0(Succ(x0), Zero)
48.79/29.31	   new_sizeFM(x0, x1, x2, x3, x4, x5, x6)
48.79/29.31	   new_primMulNat2(Zero)
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Succ(x0)))
48.79/29.31	   new_primPlusNat0(Zero, Succ(x0))
48.79/29.31	   new_esEs2(Succ(x0), Succ(x1))
48.79/29.31	   new_lt0(x0, x1)
48.79/29.31	   new_sr3(x0)
48.79/29.31	   new_esEs1(Pos(Succ(x0)), Neg(x1))
48.79/29.31	   new_esEs1(Neg(Succ(x0)), Pos(x1))
48.79/29.31	   new_esEs4
48.79/29.31	   new_primPlusNat0(Zero, Zero)
48.79/29.31	   new_primMulNat3(Zero, x0)
48.79/29.31	
48.79/29.31	We have to consider all minimal (P,Q,R)-chains.
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(64) UsableRulesProof (EQUIVALENT)
48.79/29.31	As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [LPAR04] we can delete all non-usable rules [FROCOS05] from R.
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(65)
48.79/29.31	Obligation:
48.79/29.31	Q DP problem:
48.79/29.31	The TRS P consists of the following rules:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, Branch(yuz2040, yuz2041, yuz2042, yuz2043, yuz2044), yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3(yuz21, yuz22, yuz2040, yuz2041, yuz2042, yuz2043, yuz2044, yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.31	   new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs8(new_sr3(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs8(new_sr3(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs8(new_sr3(new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	
48.79/29.31	The TRS R consists of the following rules:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.31	   new_sr3(yuz1358) -> new_primMulInt(yuz1358)
48.79/29.31	   new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)
48.79/29.31	   new_esEs8(yuz21, yuz16) -> new_esEs1(yuz21, yuz16)
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Succ(yuz1600))) -> new_esEs5
48.79/29.31	   new_esEs1(Neg(Succ(yuz2100)), Neg(yuz160)) -> new_esEs2(yuz160, Succ(yuz2100))
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Succ(yuz1600))) -> new_esEs2(Zero, Succ(yuz1600))
48.79/29.31	   new_esEs1(Pos(Succ(yuz2100)), Neg(yuz160)) -> new_esEs3
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Succ(yuz1600))) -> new_esEs3
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Succ(yuz1600))) -> new_esEs2(Succ(yuz1600), Zero)
48.79/29.31	   new_esEs1(Pos(Succ(yuz2100)), Pos(yuz160)) -> new_esEs2(Succ(yuz2100), yuz160)
48.79/29.31	   new_esEs1(Neg(Succ(yuz2100)), Pos(yuz160)) -> new_esEs5
48.79/29.31	   new_esEs5 -> True
48.79/29.31	   new_esEs2(Succ(yuz23000), Succ(yuz1300000)) -> new_esEs2(yuz23000, yuz1300000)
48.79/29.31	   new_esEs2(Succ(yuz23000), Zero) -> new_esEs3
48.79/29.31	   new_esEs3 -> False
48.79/29.31	   new_esEs2(Zero, Succ(yuz1300000)) -> new_esEs5
48.79/29.31	   new_esEs2(Zero, Zero) -> new_esEs4
48.79/29.31	   new_esEs4 -> False
48.79/29.31	   new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> yuz202
48.79/29.31	   new_primMulInt(Pos(yuz13580)) -> Pos(new_primMulNat2(yuz13580))
48.79/29.31	   new_primMulInt(Neg(yuz13580)) -> Neg(new_primMulNat2(yuz13580))
48.79/29.31	   new_primMulNat2(Succ(yuz135800)) -> new_primPlusNat0(new_primMulNat3(Succ(Succ(Succ(Succ(Zero)))), yuz135800), Succ(yuz135800))
48.79/29.31	   new_primMulNat2(Zero) -> Zero
48.79/29.31	   new_primMulNat3(Succ(yuz400000), yuz60100) -> new_primPlusNat1(new_primMulNat3(yuz400000, yuz60100), yuz60100)
48.79/29.31	   new_primPlusNat0(Zero, Succ(yuz601000)) -> Succ(yuz601000)
48.79/29.31	   new_primPlusNat0(Succ(yuz15200), Succ(yuz601000)) -> Succ(Succ(new_primPlusNat0(yuz15200, yuz601000)))
48.79/29.31	   new_primPlusNat0(Succ(yuz15200), Zero) -> Succ(yuz15200)
48.79/29.31	   new_primPlusNat0(Zero, Zero) -> Zero
48.79/29.31	   new_primMulNat3(Zero, yuz60100) -> Zero
48.79/29.31	   new_primPlusNat1(Zero, yuz60100) -> Succ(yuz60100)
48.79/29.31	   new_primPlusNat1(Succ(yuz1520), yuz60100) -> Succ(Succ(new_primPlusNat0(yuz1520, yuz60100)))
48.79/29.31	
48.79/29.31	The set Q consists of the following terms:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3Size_r(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.31	   new_primPlusNat1(Succ(x0), x1)
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Zero))
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Zero))
48.79/29.31	   new_primPlusNat1(Zero, x0)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Succ(x0)))
48.79/29.31	   new_esEs1(Pos(Succ(x0)), Pos(x1))
48.79/29.31	   new_esEs3
48.79/29.31	   new_primMulNat3(Succ(x0), x1)
48.79/29.31	   new_mkVBalBranch3Size_l(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.31	   new_primMulInt(Pos(x0))
48.79/29.31	   new_primPlusNat0(Succ(x0), Succ(x1))
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Succ(x0)))
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Succ(x0)))
48.79/29.31	   new_esEs2(Succ(x0), Zero)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Zero))
48.79/29.31	   new_esEs5
48.79/29.31	   new_esEs2(Zero, Succ(x0))
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Zero))
48.79/29.31	   new_primMulInt(Neg(x0))
48.79/29.31	   new_primMulNat2(Succ(x0))
48.79/29.31	   new_esEs1(Neg(Succ(x0)), Neg(x1))
48.79/29.31	   new_esEs2(Zero, Zero)
48.79/29.31	   new_esEs8(x0, x1)
48.79/29.31	   new_primPlusNat0(Succ(x0), Zero)
48.79/29.31	   new_sizeFM(x0, x1, x2, x3, x4, x5, x6)
48.79/29.31	   new_primMulNat2(Zero)
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Succ(x0)))
48.79/29.31	   new_primPlusNat0(Zero, Succ(x0))
48.79/29.31	   new_esEs2(Succ(x0), Succ(x1))
48.79/29.31	   new_lt0(x0, x1)
48.79/29.31	   new_sr3(x0)
48.79/29.31	   new_esEs1(Pos(Succ(x0)), Neg(x1))
48.79/29.31	   new_esEs1(Neg(Succ(x0)), Pos(x1))
48.79/29.31	   new_esEs4
48.79/29.31	   new_primPlusNat0(Zero, Zero)
48.79/29.31	   new_primMulNat3(Zero, x0)
48.79/29.31	
48.79/29.31	We have to consider all minimal (P,Q,R)-chains.
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(66) QReductionProof (EQUIVALENT)
48.79/29.31	We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.[THIEMANN].
48.79/29.31	
48.79/29.31	   new_lt0(x0, x1)
48.79/29.31	
48.79/29.31	
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(67)
48.79/29.31	Obligation:
48.79/29.31	Q DP problem:
48.79/29.31	The TRS P consists of the following rules:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, Branch(yuz2040, yuz2041, yuz2042, yuz2043, yuz2044), yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3(yuz21, yuz22, yuz2040, yuz2041, yuz2042, yuz2043, yuz2044, yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.31	   new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs8(new_sr3(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs8(new_sr3(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs8(new_sr3(new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	
48.79/29.31	The TRS R consists of the following rules:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.31	   new_sr3(yuz1358) -> new_primMulInt(yuz1358)
48.79/29.31	   new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)
48.79/29.31	   new_esEs8(yuz21, yuz16) -> new_esEs1(yuz21, yuz16)
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Succ(yuz1600))) -> new_esEs5
48.79/29.31	   new_esEs1(Neg(Succ(yuz2100)), Neg(yuz160)) -> new_esEs2(yuz160, Succ(yuz2100))
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Succ(yuz1600))) -> new_esEs2(Zero, Succ(yuz1600))
48.79/29.31	   new_esEs1(Pos(Succ(yuz2100)), Neg(yuz160)) -> new_esEs3
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Succ(yuz1600))) -> new_esEs3
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Succ(yuz1600))) -> new_esEs2(Succ(yuz1600), Zero)
48.79/29.31	   new_esEs1(Pos(Succ(yuz2100)), Pos(yuz160)) -> new_esEs2(Succ(yuz2100), yuz160)
48.79/29.31	   new_esEs1(Neg(Succ(yuz2100)), Pos(yuz160)) -> new_esEs5
48.79/29.31	   new_esEs5 -> True
48.79/29.31	   new_esEs2(Succ(yuz23000), Succ(yuz1300000)) -> new_esEs2(yuz23000, yuz1300000)
48.79/29.31	   new_esEs2(Succ(yuz23000), Zero) -> new_esEs3
48.79/29.31	   new_esEs3 -> False
48.79/29.31	   new_esEs2(Zero, Succ(yuz1300000)) -> new_esEs5
48.79/29.31	   new_esEs2(Zero, Zero) -> new_esEs4
48.79/29.31	   new_esEs4 -> False
48.79/29.31	   new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> yuz202
48.79/29.31	   new_primMulInt(Pos(yuz13580)) -> Pos(new_primMulNat2(yuz13580))
48.79/29.31	   new_primMulInt(Neg(yuz13580)) -> Neg(new_primMulNat2(yuz13580))
48.79/29.31	   new_primMulNat2(Succ(yuz135800)) -> new_primPlusNat0(new_primMulNat3(Succ(Succ(Succ(Succ(Zero)))), yuz135800), Succ(yuz135800))
48.79/29.31	   new_primMulNat2(Zero) -> Zero
48.79/29.31	   new_primMulNat3(Succ(yuz400000), yuz60100) -> new_primPlusNat1(new_primMulNat3(yuz400000, yuz60100), yuz60100)
48.79/29.31	   new_primPlusNat0(Zero, Succ(yuz601000)) -> Succ(yuz601000)
48.79/29.31	   new_primPlusNat0(Succ(yuz15200), Succ(yuz601000)) -> Succ(Succ(new_primPlusNat0(yuz15200, yuz601000)))
48.79/29.31	   new_primPlusNat0(Succ(yuz15200), Zero) -> Succ(yuz15200)
48.79/29.31	   new_primPlusNat0(Zero, Zero) -> Zero
48.79/29.31	   new_primMulNat3(Zero, yuz60100) -> Zero
48.79/29.31	   new_primPlusNat1(Zero, yuz60100) -> Succ(yuz60100)
48.79/29.31	   new_primPlusNat1(Succ(yuz1520), yuz60100) -> Succ(Succ(new_primPlusNat0(yuz1520, yuz60100)))
48.79/29.31	
48.79/29.31	The set Q consists of the following terms:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3Size_r(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.31	   new_primPlusNat1(Succ(x0), x1)
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Zero))
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Zero))
48.79/29.31	   new_primPlusNat1(Zero, x0)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Succ(x0)))
48.79/29.31	   new_esEs1(Pos(Succ(x0)), Pos(x1))
48.79/29.31	   new_esEs3
48.79/29.31	   new_primMulNat3(Succ(x0), x1)
48.79/29.31	   new_mkVBalBranch3Size_l(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.31	   new_primMulInt(Pos(x0))
48.79/29.31	   new_primPlusNat0(Succ(x0), Succ(x1))
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Succ(x0)))
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Succ(x0)))
48.79/29.31	   new_esEs2(Succ(x0), Zero)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Zero))
48.79/29.31	   new_esEs5
48.79/29.31	   new_esEs2(Zero, Succ(x0))
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Zero))
48.79/29.31	   new_primMulInt(Neg(x0))
48.79/29.31	   new_primMulNat2(Succ(x0))
48.79/29.31	   new_esEs1(Neg(Succ(x0)), Neg(x1))
48.79/29.31	   new_esEs2(Zero, Zero)
48.79/29.31	   new_esEs8(x0, x1)
48.79/29.31	   new_primPlusNat0(Succ(x0), Zero)
48.79/29.31	   new_sizeFM(x0, x1, x2, x3, x4, x5, x6)
48.79/29.31	   new_primMulNat2(Zero)
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Succ(x0)))
48.79/29.31	   new_primPlusNat0(Zero, Succ(x0))
48.79/29.31	   new_esEs2(Succ(x0), Succ(x1))
48.79/29.31	   new_sr3(x0)
48.79/29.31	   new_esEs1(Pos(Succ(x0)), Neg(x1))
48.79/29.31	   new_esEs1(Neg(Succ(x0)), Pos(x1))
48.79/29.31	   new_esEs4
48.79/29.31	   new_primPlusNat0(Zero, Zero)
48.79/29.31	   new_primMulNat3(Zero, x0)
48.79/29.31	
48.79/29.31	We have to consider all minimal (P,Q,R)-chains.
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(68) TransformationProof (EQUIVALENT)
48.79/29.31	By rewriting [LPAR04] the rule new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs8(new_sr3(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba) at position [12] we obtained the following new rules [LPAR04]:
48.79/29.31	
48.79/29.31	   (new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_sr3(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba),new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_sr3(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba))
48.79/29.31	
48.79/29.31	
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(69)
48.79/29.31	Obligation:
48.79/29.31	Q DP problem:
48.79/29.31	The TRS P consists of the following rules:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, Branch(yuz2040, yuz2041, yuz2042, yuz2043, yuz2044), yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3(yuz21, yuz22, yuz2040, yuz2041, yuz2042, yuz2043, yuz2044, yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.31	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs8(new_sr3(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs8(new_sr3(new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	   new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_sr3(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	
48.79/29.31	The TRS R consists of the following rules:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.31	   new_sr3(yuz1358) -> new_primMulInt(yuz1358)
48.79/29.31	   new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)
48.79/29.31	   new_esEs8(yuz21, yuz16) -> new_esEs1(yuz21, yuz16)
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Succ(yuz1600))) -> new_esEs5
48.79/29.31	   new_esEs1(Neg(Succ(yuz2100)), Neg(yuz160)) -> new_esEs2(yuz160, Succ(yuz2100))
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Succ(yuz1600))) -> new_esEs2(Zero, Succ(yuz1600))
48.79/29.31	   new_esEs1(Pos(Succ(yuz2100)), Neg(yuz160)) -> new_esEs3
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Succ(yuz1600))) -> new_esEs3
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Succ(yuz1600))) -> new_esEs2(Succ(yuz1600), Zero)
48.79/29.31	   new_esEs1(Pos(Succ(yuz2100)), Pos(yuz160)) -> new_esEs2(Succ(yuz2100), yuz160)
48.79/29.31	   new_esEs1(Neg(Succ(yuz2100)), Pos(yuz160)) -> new_esEs5
48.79/29.31	   new_esEs5 -> True
48.79/29.31	   new_esEs2(Succ(yuz23000), Succ(yuz1300000)) -> new_esEs2(yuz23000, yuz1300000)
48.79/29.31	   new_esEs2(Succ(yuz23000), Zero) -> new_esEs3
48.79/29.31	   new_esEs3 -> False
48.79/29.31	   new_esEs2(Zero, Succ(yuz1300000)) -> new_esEs5
48.79/29.31	   new_esEs2(Zero, Zero) -> new_esEs4
48.79/29.31	   new_esEs4 -> False
48.79/29.31	   new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> yuz202
48.79/29.31	   new_primMulInt(Pos(yuz13580)) -> Pos(new_primMulNat2(yuz13580))
48.79/29.31	   new_primMulInt(Neg(yuz13580)) -> Neg(new_primMulNat2(yuz13580))
48.79/29.31	   new_primMulNat2(Succ(yuz135800)) -> new_primPlusNat0(new_primMulNat3(Succ(Succ(Succ(Succ(Zero)))), yuz135800), Succ(yuz135800))
48.79/29.31	   new_primMulNat2(Zero) -> Zero
48.79/29.31	   new_primMulNat3(Succ(yuz400000), yuz60100) -> new_primPlusNat1(new_primMulNat3(yuz400000, yuz60100), yuz60100)
48.79/29.31	   new_primPlusNat0(Zero, Succ(yuz601000)) -> Succ(yuz601000)
48.79/29.31	   new_primPlusNat0(Succ(yuz15200), Succ(yuz601000)) -> Succ(Succ(new_primPlusNat0(yuz15200, yuz601000)))
48.79/29.31	   new_primPlusNat0(Succ(yuz15200), Zero) -> Succ(yuz15200)
48.79/29.31	   new_primPlusNat0(Zero, Zero) -> Zero
48.79/29.31	   new_primMulNat3(Zero, yuz60100) -> Zero
48.79/29.31	   new_primPlusNat1(Zero, yuz60100) -> Succ(yuz60100)
48.79/29.31	   new_primPlusNat1(Succ(yuz1520), yuz60100) -> Succ(Succ(new_primPlusNat0(yuz1520, yuz60100)))
48.79/29.31	
48.79/29.31	The set Q consists of the following terms:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3Size_r(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.31	   new_primPlusNat1(Succ(x0), x1)
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Zero))
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Zero))
48.79/29.31	   new_primPlusNat1(Zero, x0)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Succ(x0)))
48.79/29.31	   new_esEs1(Pos(Succ(x0)), Pos(x1))
48.79/29.31	   new_esEs3
48.79/29.31	   new_primMulNat3(Succ(x0), x1)
48.79/29.31	   new_mkVBalBranch3Size_l(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.31	   new_primMulInt(Pos(x0))
48.79/29.31	   new_primPlusNat0(Succ(x0), Succ(x1))
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Succ(x0)))
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Succ(x0)))
48.79/29.31	   new_esEs2(Succ(x0), Zero)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Zero))
48.79/29.31	   new_esEs5
48.79/29.31	   new_esEs2(Zero, Succ(x0))
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Zero))
48.79/29.31	   new_primMulInt(Neg(x0))
48.79/29.31	   new_primMulNat2(Succ(x0))
48.79/29.31	   new_esEs1(Neg(Succ(x0)), Neg(x1))
48.79/29.31	   new_esEs2(Zero, Zero)
48.79/29.31	   new_esEs8(x0, x1)
48.79/29.31	   new_primPlusNat0(Succ(x0), Zero)
48.79/29.31	   new_sizeFM(x0, x1, x2, x3, x4, x5, x6)
48.79/29.31	   new_primMulNat2(Zero)
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Succ(x0)))
48.79/29.31	   new_primPlusNat0(Zero, Succ(x0))
48.79/29.31	   new_esEs2(Succ(x0), Succ(x1))
48.79/29.31	   new_sr3(x0)
48.79/29.31	   new_esEs1(Pos(Succ(x0)), Neg(x1))
48.79/29.31	   new_esEs1(Neg(Succ(x0)), Pos(x1))
48.79/29.31	   new_esEs4
48.79/29.31	   new_primPlusNat0(Zero, Zero)
48.79/29.31	   new_primMulNat3(Zero, x0)
48.79/29.31	
48.79/29.31	We have to consider all minimal (P,Q,R)-chains.
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(70) TransformationProof (EQUIVALENT)
48.79/29.31	By rewriting [LPAR04] the rule new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs8(new_sr3(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba) at position [12] we obtained the following new rules [LPAR04]:
48.79/29.31	
48.79/29.31	   (new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_sr3(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba),new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_sr3(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba))
48.79/29.31	
48.79/29.31	
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(71)
48.79/29.31	Obligation:
48.79/29.31	Q DP problem:
48.79/29.31	The TRS P consists of the following rules:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, Branch(yuz2040, yuz2041, yuz2042, yuz2043, yuz2044), yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3(yuz21, yuz22, yuz2040, yuz2041, yuz2042, yuz2043, yuz2044, yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.31	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs8(new_sr3(new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	   new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_sr3(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_sr3(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	
48.79/29.31	The TRS R consists of the following rules:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.31	   new_sr3(yuz1358) -> new_primMulInt(yuz1358)
48.79/29.31	   new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)
48.79/29.31	   new_esEs8(yuz21, yuz16) -> new_esEs1(yuz21, yuz16)
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Succ(yuz1600))) -> new_esEs5
48.79/29.31	   new_esEs1(Neg(Succ(yuz2100)), Neg(yuz160)) -> new_esEs2(yuz160, Succ(yuz2100))
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Succ(yuz1600))) -> new_esEs2(Zero, Succ(yuz1600))
48.79/29.31	   new_esEs1(Pos(Succ(yuz2100)), Neg(yuz160)) -> new_esEs3
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Succ(yuz1600))) -> new_esEs3
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Succ(yuz1600))) -> new_esEs2(Succ(yuz1600), Zero)
48.79/29.31	   new_esEs1(Pos(Succ(yuz2100)), Pos(yuz160)) -> new_esEs2(Succ(yuz2100), yuz160)
48.79/29.31	   new_esEs1(Neg(Succ(yuz2100)), Pos(yuz160)) -> new_esEs5
48.79/29.31	   new_esEs5 -> True
48.79/29.31	   new_esEs2(Succ(yuz23000), Succ(yuz1300000)) -> new_esEs2(yuz23000, yuz1300000)
48.79/29.31	   new_esEs2(Succ(yuz23000), Zero) -> new_esEs3
48.79/29.31	   new_esEs3 -> False
48.79/29.31	   new_esEs2(Zero, Succ(yuz1300000)) -> new_esEs5
48.79/29.31	   new_esEs2(Zero, Zero) -> new_esEs4
48.79/29.31	   new_esEs4 -> False
48.79/29.31	   new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> yuz202
48.79/29.31	   new_primMulInt(Pos(yuz13580)) -> Pos(new_primMulNat2(yuz13580))
48.79/29.31	   new_primMulInt(Neg(yuz13580)) -> Neg(new_primMulNat2(yuz13580))
48.79/29.31	   new_primMulNat2(Succ(yuz135800)) -> new_primPlusNat0(new_primMulNat3(Succ(Succ(Succ(Succ(Zero)))), yuz135800), Succ(yuz135800))
48.79/29.31	   new_primMulNat2(Zero) -> Zero
48.79/29.31	   new_primMulNat3(Succ(yuz400000), yuz60100) -> new_primPlusNat1(new_primMulNat3(yuz400000, yuz60100), yuz60100)
48.79/29.31	   new_primPlusNat0(Zero, Succ(yuz601000)) -> Succ(yuz601000)
48.79/29.31	   new_primPlusNat0(Succ(yuz15200), Succ(yuz601000)) -> Succ(Succ(new_primPlusNat0(yuz15200, yuz601000)))
48.79/29.31	   new_primPlusNat0(Succ(yuz15200), Zero) -> Succ(yuz15200)
48.79/29.31	   new_primPlusNat0(Zero, Zero) -> Zero
48.79/29.31	   new_primMulNat3(Zero, yuz60100) -> Zero
48.79/29.31	   new_primPlusNat1(Zero, yuz60100) -> Succ(yuz60100)
48.79/29.31	   new_primPlusNat1(Succ(yuz1520), yuz60100) -> Succ(Succ(new_primPlusNat0(yuz1520, yuz60100)))
48.79/29.31	
48.79/29.31	The set Q consists of the following terms:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3Size_r(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.31	   new_primPlusNat1(Succ(x0), x1)
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Zero))
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Zero))
48.79/29.31	   new_primPlusNat1(Zero, x0)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Succ(x0)))
48.79/29.31	   new_esEs1(Pos(Succ(x0)), Pos(x1))
48.79/29.31	   new_esEs3
48.79/29.31	   new_primMulNat3(Succ(x0), x1)
48.79/29.31	   new_mkVBalBranch3Size_l(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.31	   new_primMulInt(Pos(x0))
48.79/29.31	   new_primPlusNat0(Succ(x0), Succ(x1))
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Succ(x0)))
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Succ(x0)))
48.79/29.31	   new_esEs2(Succ(x0), Zero)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Zero))
48.79/29.31	   new_esEs5
48.79/29.31	   new_esEs2(Zero, Succ(x0))
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Zero))
48.79/29.31	   new_primMulInt(Neg(x0))
48.79/29.31	   new_primMulNat2(Succ(x0))
48.79/29.31	   new_esEs1(Neg(Succ(x0)), Neg(x1))
48.79/29.31	   new_esEs2(Zero, Zero)
48.79/29.31	   new_esEs8(x0, x1)
48.79/29.31	   new_primPlusNat0(Succ(x0), Zero)
48.79/29.31	   new_sizeFM(x0, x1, x2, x3, x4, x5, x6)
48.79/29.31	   new_primMulNat2(Zero)
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Succ(x0)))
48.79/29.31	   new_primPlusNat0(Zero, Succ(x0))
48.79/29.31	   new_esEs2(Succ(x0), Succ(x1))
48.79/29.31	   new_sr3(x0)
48.79/29.31	   new_esEs1(Pos(Succ(x0)), Neg(x1))
48.79/29.31	   new_esEs1(Neg(Succ(x0)), Pos(x1))
48.79/29.31	   new_esEs4
48.79/29.31	   new_primPlusNat0(Zero, Zero)
48.79/29.31	   new_primMulNat3(Zero, x0)
48.79/29.31	
48.79/29.31	We have to consider all minimal (P,Q,R)-chains.
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(72) TransformationProof (EQUIVALENT)
48.79/29.31	By rewriting [LPAR04] the rule new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs8(new_sr3(new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba) at position [12] we obtained the following new rules [LPAR04]:
48.79/29.31	
48.79/29.31	   (new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_sr3(new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba),new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_sr3(new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba))
48.79/29.31	
48.79/29.31	
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(73)
48.79/29.31	Obligation:
48.79/29.31	Q DP problem:
48.79/29.31	The TRS P consists of the following rules:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, Branch(yuz2040, yuz2041, yuz2042, yuz2043, yuz2044), yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3(yuz21, yuz22, yuz2040, yuz2041, yuz2042, yuz2043, yuz2044, yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.31	   new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_sr3(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_sr3(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_sr3(new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	
48.79/29.31	The TRS R consists of the following rules:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.31	   new_sr3(yuz1358) -> new_primMulInt(yuz1358)
48.79/29.31	   new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)
48.79/29.31	   new_esEs8(yuz21, yuz16) -> new_esEs1(yuz21, yuz16)
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Succ(yuz1600))) -> new_esEs5
48.79/29.31	   new_esEs1(Neg(Succ(yuz2100)), Neg(yuz160)) -> new_esEs2(yuz160, Succ(yuz2100))
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Succ(yuz1600))) -> new_esEs2(Zero, Succ(yuz1600))
48.79/29.31	   new_esEs1(Pos(Succ(yuz2100)), Neg(yuz160)) -> new_esEs3
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Succ(yuz1600))) -> new_esEs3
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Succ(yuz1600))) -> new_esEs2(Succ(yuz1600), Zero)
48.79/29.31	   new_esEs1(Pos(Succ(yuz2100)), Pos(yuz160)) -> new_esEs2(Succ(yuz2100), yuz160)
48.79/29.31	   new_esEs1(Neg(Succ(yuz2100)), Pos(yuz160)) -> new_esEs5
48.79/29.31	   new_esEs5 -> True
48.79/29.31	   new_esEs2(Succ(yuz23000), Succ(yuz1300000)) -> new_esEs2(yuz23000, yuz1300000)
48.79/29.31	   new_esEs2(Succ(yuz23000), Zero) -> new_esEs3
48.79/29.31	   new_esEs3 -> False
48.79/29.31	   new_esEs2(Zero, Succ(yuz1300000)) -> new_esEs5
48.79/29.31	   new_esEs2(Zero, Zero) -> new_esEs4
48.79/29.31	   new_esEs4 -> False
48.79/29.31	   new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> yuz202
48.79/29.31	   new_primMulInt(Pos(yuz13580)) -> Pos(new_primMulNat2(yuz13580))
48.79/29.31	   new_primMulInt(Neg(yuz13580)) -> Neg(new_primMulNat2(yuz13580))
48.79/29.31	   new_primMulNat2(Succ(yuz135800)) -> new_primPlusNat0(new_primMulNat3(Succ(Succ(Succ(Succ(Zero)))), yuz135800), Succ(yuz135800))
48.79/29.31	   new_primMulNat2(Zero) -> Zero
48.79/29.31	   new_primMulNat3(Succ(yuz400000), yuz60100) -> new_primPlusNat1(new_primMulNat3(yuz400000, yuz60100), yuz60100)
48.79/29.31	   new_primPlusNat0(Zero, Succ(yuz601000)) -> Succ(yuz601000)
48.79/29.31	   new_primPlusNat0(Succ(yuz15200), Succ(yuz601000)) -> Succ(Succ(new_primPlusNat0(yuz15200, yuz601000)))
48.79/29.31	   new_primPlusNat0(Succ(yuz15200), Zero) -> Succ(yuz15200)
48.79/29.31	   new_primPlusNat0(Zero, Zero) -> Zero
48.79/29.31	   new_primMulNat3(Zero, yuz60100) -> Zero
48.79/29.31	   new_primPlusNat1(Zero, yuz60100) -> Succ(yuz60100)
48.79/29.31	   new_primPlusNat1(Succ(yuz1520), yuz60100) -> Succ(Succ(new_primPlusNat0(yuz1520, yuz60100)))
48.79/29.31	
48.79/29.31	The set Q consists of the following terms:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3Size_r(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.31	   new_primPlusNat1(Succ(x0), x1)
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Zero))
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Zero))
48.79/29.31	   new_primPlusNat1(Zero, x0)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Succ(x0)))
48.79/29.31	   new_esEs1(Pos(Succ(x0)), Pos(x1))
48.79/29.31	   new_esEs3
48.79/29.31	   new_primMulNat3(Succ(x0), x1)
48.79/29.31	   new_mkVBalBranch3Size_l(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.31	   new_primMulInt(Pos(x0))
48.79/29.31	   new_primPlusNat0(Succ(x0), Succ(x1))
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Succ(x0)))
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Succ(x0)))
48.79/29.31	   new_esEs2(Succ(x0), Zero)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Zero))
48.79/29.31	   new_esEs5
48.79/29.31	   new_esEs2(Zero, Succ(x0))
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Zero))
48.79/29.31	   new_primMulInt(Neg(x0))
48.79/29.31	   new_primMulNat2(Succ(x0))
48.79/29.31	   new_esEs1(Neg(Succ(x0)), Neg(x1))
48.79/29.31	   new_esEs2(Zero, Zero)
48.79/29.31	   new_esEs8(x0, x1)
48.79/29.31	   new_primPlusNat0(Succ(x0), Zero)
48.79/29.31	   new_sizeFM(x0, x1, x2, x3, x4, x5, x6)
48.79/29.31	   new_primMulNat2(Zero)
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Succ(x0)))
48.79/29.31	   new_primPlusNat0(Zero, Succ(x0))
48.79/29.31	   new_esEs2(Succ(x0), Succ(x1))
48.79/29.31	   new_sr3(x0)
48.79/29.31	   new_esEs1(Pos(Succ(x0)), Neg(x1))
48.79/29.31	   new_esEs1(Neg(Succ(x0)), Pos(x1))
48.79/29.31	   new_esEs4
48.79/29.31	   new_primPlusNat0(Zero, Zero)
48.79/29.31	   new_primMulNat3(Zero, x0)
48.79/29.31	
48.79/29.31	We have to consider all minimal (P,Q,R)-chains.
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(74) UsableRulesProof (EQUIVALENT)
48.79/29.31	As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [LPAR04] we can delete all non-usable rules [FROCOS05] from R.
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(75)
48.79/29.31	Obligation:
48.79/29.31	Q DP problem:
48.79/29.31	The TRS P consists of the following rules:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, Branch(yuz2040, yuz2041, yuz2042, yuz2043, yuz2044), yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3(yuz21, yuz22, yuz2040, yuz2041, yuz2042, yuz2043, yuz2044, yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.31	   new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_sr3(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_sr3(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_sr3(new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	
48.79/29.31	The TRS R consists of the following rules:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.31	   new_sr3(yuz1358) -> new_primMulInt(yuz1358)
48.79/29.31	   new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Succ(yuz1600))) -> new_esEs5
48.79/29.31	   new_esEs1(Neg(Succ(yuz2100)), Neg(yuz160)) -> new_esEs2(yuz160, Succ(yuz2100))
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Succ(yuz1600))) -> new_esEs2(Zero, Succ(yuz1600))
48.79/29.31	   new_esEs1(Pos(Succ(yuz2100)), Neg(yuz160)) -> new_esEs3
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Succ(yuz1600))) -> new_esEs3
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Succ(yuz1600))) -> new_esEs2(Succ(yuz1600), Zero)
48.79/29.31	   new_esEs1(Pos(Succ(yuz2100)), Pos(yuz160)) -> new_esEs2(Succ(yuz2100), yuz160)
48.79/29.31	   new_esEs1(Neg(Succ(yuz2100)), Pos(yuz160)) -> new_esEs5
48.79/29.31	   new_esEs5 -> True
48.79/29.31	   new_esEs2(Succ(yuz23000), Succ(yuz1300000)) -> new_esEs2(yuz23000, yuz1300000)
48.79/29.31	   new_esEs2(Succ(yuz23000), Zero) -> new_esEs3
48.79/29.31	   new_esEs3 -> False
48.79/29.31	   new_esEs2(Zero, Succ(yuz1300000)) -> new_esEs5
48.79/29.31	   new_esEs2(Zero, Zero) -> new_esEs4
48.79/29.31	   new_esEs4 -> False
48.79/29.31	   new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> yuz202
48.79/29.31	   new_primMulInt(Pos(yuz13580)) -> Pos(new_primMulNat2(yuz13580))
48.79/29.31	   new_primMulInt(Neg(yuz13580)) -> Neg(new_primMulNat2(yuz13580))
48.79/29.31	   new_primMulNat2(Succ(yuz135800)) -> new_primPlusNat0(new_primMulNat3(Succ(Succ(Succ(Succ(Zero)))), yuz135800), Succ(yuz135800))
48.79/29.31	   new_primMulNat2(Zero) -> Zero
48.79/29.31	   new_primMulNat3(Succ(yuz400000), yuz60100) -> new_primPlusNat1(new_primMulNat3(yuz400000, yuz60100), yuz60100)
48.79/29.31	   new_primPlusNat0(Zero, Succ(yuz601000)) -> Succ(yuz601000)
48.79/29.31	   new_primPlusNat0(Succ(yuz15200), Succ(yuz601000)) -> Succ(Succ(new_primPlusNat0(yuz15200, yuz601000)))
48.79/29.31	   new_primPlusNat0(Succ(yuz15200), Zero) -> Succ(yuz15200)
48.79/29.31	   new_primPlusNat0(Zero, Zero) -> Zero
48.79/29.31	   new_primMulNat3(Zero, yuz60100) -> Zero
48.79/29.31	   new_primPlusNat1(Zero, yuz60100) -> Succ(yuz60100)
48.79/29.31	   new_primPlusNat1(Succ(yuz1520), yuz60100) -> Succ(Succ(new_primPlusNat0(yuz1520, yuz60100)))
48.79/29.31	
48.79/29.31	The set Q consists of the following terms:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3Size_r(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.31	   new_primPlusNat1(Succ(x0), x1)
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Zero))
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Zero))
48.79/29.31	   new_primPlusNat1(Zero, x0)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Succ(x0)))
48.79/29.31	   new_esEs1(Pos(Succ(x0)), Pos(x1))
48.79/29.31	   new_esEs3
48.79/29.31	   new_primMulNat3(Succ(x0), x1)
48.79/29.31	   new_mkVBalBranch3Size_l(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.31	   new_primMulInt(Pos(x0))
48.79/29.31	   new_primPlusNat0(Succ(x0), Succ(x1))
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Succ(x0)))
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Succ(x0)))
48.79/29.31	   new_esEs2(Succ(x0), Zero)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Zero))
48.79/29.31	   new_esEs5
48.79/29.31	   new_esEs2(Zero, Succ(x0))
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Zero))
48.79/29.31	   new_primMulInt(Neg(x0))
48.79/29.31	   new_primMulNat2(Succ(x0))
48.79/29.31	   new_esEs1(Neg(Succ(x0)), Neg(x1))
48.79/29.31	   new_esEs2(Zero, Zero)
48.79/29.31	   new_esEs8(x0, x1)
48.79/29.31	   new_primPlusNat0(Succ(x0), Zero)
48.79/29.31	   new_sizeFM(x0, x1, x2, x3, x4, x5, x6)
48.79/29.31	   new_primMulNat2(Zero)
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Succ(x0)))
48.79/29.31	   new_primPlusNat0(Zero, Succ(x0))
48.79/29.31	   new_esEs2(Succ(x0), Succ(x1))
48.79/29.31	   new_sr3(x0)
48.79/29.31	   new_esEs1(Pos(Succ(x0)), Neg(x1))
48.79/29.31	   new_esEs1(Neg(Succ(x0)), Pos(x1))
48.79/29.31	   new_esEs4
48.79/29.31	   new_primPlusNat0(Zero, Zero)
48.79/29.31	   new_primMulNat3(Zero, x0)
48.79/29.31	
48.79/29.31	We have to consider all minimal (P,Q,R)-chains.
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(76) QReductionProof (EQUIVALENT)
48.79/29.31	We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.[THIEMANN].
48.79/29.31	
48.79/29.31	   new_esEs8(x0, x1)
48.79/29.31	
48.79/29.31	
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(77)
48.79/29.31	Obligation:
48.79/29.31	Q DP problem:
48.79/29.31	The TRS P consists of the following rules:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, Branch(yuz2040, yuz2041, yuz2042, yuz2043, yuz2044), yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3(yuz21, yuz22, yuz2040, yuz2041, yuz2042, yuz2043, yuz2044, yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.31	   new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_sr3(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_sr3(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_sr3(new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	
48.79/29.31	The TRS R consists of the following rules:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.31	   new_sr3(yuz1358) -> new_primMulInt(yuz1358)
48.79/29.31	   new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Succ(yuz1600))) -> new_esEs5
48.79/29.31	   new_esEs1(Neg(Succ(yuz2100)), Neg(yuz160)) -> new_esEs2(yuz160, Succ(yuz2100))
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Succ(yuz1600))) -> new_esEs2(Zero, Succ(yuz1600))
48.79/29.31	   new_esEs1(Pos(Succ(yuz2100)), Neg(yuz160)) -> new_esEs3
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Succ(yuz1600))) -> new_esEs3
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Succ(yuz1600))) -> new_esEs2(Succ(yuz1600), Zero)
48.79/29.31	   new_esEs1(Pos(Succ(yuz2100)), Pos(yuz160)) -> new_esEs2(Succ(yuz2100), yuz160)
48.79/29.31	   new_esEs1(Neg(Succ(yuz2100)), Pos(yuz160)) -> new_esEs5
48.79/29.31	   new_esEs5 -> True
48.79/29.31	   new_esEs2(Succ(yuz23000), Succ(yuz1300000)) -> new_esEs2(yuz23000, yuz1300000)
48.79/29.31	   new_esEs2(Succ(yuz23000), Zero) -> new_esEs3
48.79/29.31	   new_esEs3 -> False
48.79/29.31	   new_esEs2(Zero, Succ(yuz1300000)) -> new_esEs5
48.79/29.31	   new_esEs2(Zero, Zero) -> new_esEs4
48.79/29.31	   new_esEs4 -> False
48.79/29.31	   new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> yuz202
48.79/29.31	   new_primMulInt(Pos(yuz13580)) -> Pos(new_primMulNat2(yuz13580))
48.79/29.31	   new_primMulInt(Neg(yuz13580)) -> Neg(new_primMulNat2(yuz13580))
48.79/29.31	   new_primMulNat2(Succ(yuz135800)) -> new_primPlusNat0(new_primMulNat3(Succ(Succ(Succ(Succ(Zero)))), yuz135800), Succ(yuz135800))
48.79/29.31	   new_primMulNat2(Zero) -> Zero
48.79/29.31	   new_primMulNat3(Succ(yuz400000), yuz60100) -> new_primPlusNat1(new_primMulNat3(yuz400000, yuz60100), yuz60100)
48.79/29.31	   new_primPlusNat0(Zero, Succ(yuz601000)) -> Succ(yuz601000)
48.79/29.31	   new_primPlusNat0(Succ(yuz15200), Succ(yuz601000)) -> Succ(Succ(new_primPlusNat0(yuz15200, yuz601000)))
48.79/29.31	   new_primPlusNat0(Succ(yuz15200), Zero) -> Succ(yuz15200)
48.79/29.31	   new_primPlusNat0(Zero, Zero) -> Zero
48.79/29.31	   new_primMulNat3(Zero, yuz60100) -> Zero
48.79/29.31	   new_primPlusNat1(Zero, yuz60100) -> Succ(yuz60100)
48.79/29.31	   new_primPlusNat1(Succ(yuz1520), yuz60100) -> Succ(Succ(new_primPlusNat0(yuz1520, yuz60100)))
48.79/29.31	
48.79/29.31	The set Q consists of the following terms:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3Size_r(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.31	   new_primPlusNat1(Succ(x0), x1)
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Zero))
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Zero))
48.79/29.31	   new_primPlusNat1(Zero, x0)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Succ(x0)))
48.79/29.31	   new_esEs1(Pos(Succ(x0)), Pos(x1))
48.79/29.31	   new_esEs3
48.79/29.31	   new_primMulNat3(Succ(x0), x1)
48.79/29.31	   new_mkVBalBranch3Size_l(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.31	   new_primMulInt(Pos(x0))
48.79/29.31	   new_primPlusNat0(Succ(x0), Succ(x1))
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Succ(x0)))
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Succ(x0)))
48.79/29.31	   new_esEs2(Succ(x0), Zero)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Zero))
48.79/29.31	   new_esEs5
48.79/29.31	   new_esEs2(Zero, Succ(x0))
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Zero))
48.79/29.31	   new_primMulInt(Neg(x0))
48.79/29.31	   new_primMulNat2(Succ(x0))
48.79/29.31	   new_esEs1(Neg(Succ(x0)), Neg(x1))
48.79/29.31	   new_esEs2(Zero, Zero)
48.79/29.31	   new_primPlusNat0(Succ(x0), Zero)
48.79/29.31	   new_sizeFM(x0, x1, x2, x3, x4, x5, x6)
48.79/29.31	   new_primMulNat2(Zero)
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Succ(x0)))
48.79/29.31	   new_primPlusNat0(Zero, Succ(x0))
48.79/29.31	   new_esEs2(Succ(x0), Succ(x1))
48.79/29.31	   new_sr3(x0)
48.79/29.31	   new_esEs1(Pos(Succ(x0)), Neg(x1))
48.79/29.31	   new_esEs1(Neg(Succ(x0)), Pos(x1))
48.79/29.31	   new_esEs4
48.79/29.31	   new_primPlusNat0(Zero, Zero)
48.79/29.31	   new_primMulNat3(Zero, x0)
48.79/29.31	
48.79/29.31	We have to consider all minimal (P,Q,R)-chains.
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(78) TransformationProof (EQUIVALENT)
48.79/29.31	By rewriting [LPAR04] the rule new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_sr3(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba) at position [12,0] we obtained the following new rules [LPAR04]:
48.79/29.31	
48.79/29.31	   (new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba),new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba))
48.79/29.31	
48.79/29.31	
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(79)
48.79/29.31	Obligation:
48.79/29.31	Q DP problem:
48.79/29.31	The TRS P consists of the following rules:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, Branch(yuz2040, yuz2041, yuz2042, yuz2043, yuz2044), yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3(yuz21, yuz22, yuz2040, yuz2041, yuz2042, yuz2043, yuz2044, yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.31	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_sr3(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_sr3(new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	   new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	
48.79/29.31	The TRS R consists of the following rules:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.31	   new_sr3(yuz1358) -> new_primMulInt(yuz1358)
48.79/29.31	   new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Succ(yuz1600))) -> new_esEs5
48.79/29.31	   new_esEs1(Neg(Succ(yuz2100)), Neg(yuz160)) -> new_esEs2(yuz160, Succ(yuz2100))
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Succ(yuz1600))) -> new_esEs2(Zero, Succ(yuz1600))
48.79/29.31	   new_esEs1(Pos(Succ(yuz2100)), Neg(yuz160)) -> new_esEs3
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Succ(yuz1600))) -> new_esEs3
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Succ(yuz1600))) -> new_esEs2(Succ(yuz1600), Zero)
48.79/29.31	   new_esEs1(Pos(Succ(yuz2100)), Pos(yuz160)) -> new_esEs2(Succ(yuz2100), yuz160)
48.79/29.31	   new_esEs1(Neg(Succ(yuz2100)), Pos(yuz160)) -> new_esEs5
48.79/29.31	   new_esEs5 -> True
48.79/29.31	   new_esEs2(Succ(yuz23000), Succ(yuz1300000)) -> new_esEs2(yuz23000, yuz1300000)
48.79/29.31	   new_esEs2(Succ(yuz23000), Zero) -> new_esEs3
48.79/29.31	   new_esEs3 -> False
48.79/29.31	   new_esEs2(Zero, Succ(yuz1300000)) -> new_esEs5
48.79/29.31	   new_esEs2(Zero, Zero) -> new_esEs4
48.79/29.31	   new_esEs4 -> False
48.79/29.31	   new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> yuz202
48.79/29.31	   new_primMulInt(Pos(yuz13580)) -> Pos(new_primMulNat2(yuz13580))
48.79/29.31	   new_primMulInt(Neg(yuz13580)) -> Neg(new_primMulNat2(yuz13580))
48.79/29.31	   new_primMulNat2(Succ(yuz135800)) -> new_primPlusNat0(new_primMulNat3(Succ(Succ(Succ(Succ(Zero)))), yuz135800), Succ(yuz135800))
48.79/29.31	   new_primMulNat2(Zero) -> Zero
48.79/29.31	   new_primMulNat3(Succ(yuz400000), yuz60100) -> new_primPlusNat1(new_primMulNat3(yuz400000, yuz60100), yuz60100)
48.79/29.31	   new_primPlusNat0(Zero, Succ(yuz601000)) -> Succ(yuz601000)
48.79/29.31	   new_primPlusNat0(Succ(yuz15200), Succ(yuz601000)) -> Succ(Succ(new_primPlusNat0(yuz15200, yuz601000)))
48.79/29.31	   new_primPlusNat0(Succ(yuz15200), Zero) -> Succ(yuz15200)
48.79/29.31	   new_primPlusNat0(Zero, Zero) -> Zero
48.79/29.31	   new_primMulNat3(Zero, yuz60100) -> Zero
48.79/29.31	   new_primPlusNat1(Zero, yuz60100) -> Succ(yuz60100)
48.79/29.31	   new_primPlusNat1(Succ(yuz1520), yuz60100) -> Succ(Succ(new_primPlusNat0(yuz1520, yuz60100)))
48.79/29.31	
48.79/29.31	The set Q consists of the following terms:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3Size_r(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.31	   new_primPlusNat1(Succ(x0), x1)
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Zero))
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Zero))
48.79/29.31	   new_primPlusNat1(Zero, x0)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Succ(x0)))
48.79/29.31	   new_esEs1(Pos(Succ(x0)), Pos(x1))
48.79/29.31	   new_esEs3
48.79/29.31	   new_primMulNat3(Succ(x0), x1)
48.79/29.31	   new_mkVBalBranch3Size_l(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.31	   new_primMulInt(Pos(x0))
48.79/29.31	   new_primPlusNat0(Succ(x0), Succ(x1))
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Succ(x0)))
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Succ(x0)))
48.79/29.31	   new_esEs2(Succ(x0), Zero)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Zero))
48.79/29.31	   new_esEs5
48.79/29.31	   new_esEs2(Zero, Succ(x0))
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Zero))
48.79/29.31	   new_primMulInt(Neg(x0))
48.79/29.31	   new_primMulNat2(Succ(x0))
48.79/29.31	   new_esEs1(Neg(Succ(x0)), Neg(x1))
48.79/29.31	   new_esEs2(Zero, Zero)
48.79/29.31	   new_primPlusNat0(Succ(x0), Zero)
48.79/29.31	   new_sizeFM(x0, x1, x2, x3, x4, x5, x6)
48.79/29.31	   new_primMulNat2(Zero)
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Succ(x0)))
48.79/29.31	   new_primPlusNat0(Zero, Succ(x0))
48.79/29.31	   new_esEs2(Succ(x0), Succ(x1))
48.79/29.31	   new_sr3(x0)
48.79/29.31	   new_esEs1(Pos(Succ(x0)), Neg(x1))
48.79/29.31	   new_esEs1(Neg(Succ(x0)), Pos(x1))
48.79/29.31	   new_esEs4
48.79/29.31	   new_primPlusNat0(Zero, Zero)
48.79/29.31	   new_primMulNat3(Zero, x0)
48.79/29.31	
48.79/29.31	We have to consider all minimal (P,Q,R)-chains.
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(80) TransformationProof (EQUIVALENT)
48.79/29.31	By rewriting [LPAR04] the rule new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_sr3(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba) at position [12,0] we obtained the following new rules [LPAR04]:
48.79/29.31	
48.79/29.31	   (new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba),new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba))
48.79/29.31	
48.79/29.31	
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(81)
48.79/29.31	Obligation:
48.79/29.31	Q DP problem:
48.79/29.31	The TRS P consists of the following rules:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, Branch(yuz2040, yuz2041, yuz2042, yuz2043, yuz2044), yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3(yuz21, yuz22, yuz2040, yuz2041, yuz2042, yuz2043, yuz2044, yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.31	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_sr3(new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	   new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	
48.79/29.31	The TRS R consists of the following rules:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.31	   new_sr3(yuz1358) -> new_primMulInt(yuz1358)
48.79/29.31	   new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Succ(yuz1600))) -> new_esEs5
48.79/29.31	   new_esEs1(Neg(Succ(yuz2100)), Neg(yuz160)) -> new_esEs2(yuz160, Succ(yuz2100))
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Succ(yuz1600))) -> new_esEs2(Zero, Succ(yuz1600))
48.79/29.31	   new_esEs1(Pos(Succ(yuz2100)), Neg(yuz160)) -> new_esEs3
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Succ(yuz1600))) -> new_esEs3
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Succ(yuz1600))) -> new_esEs2(Succ(yuz1600), Zero)
48.79/29.31	   new_esEs1(Pos(Succ(yuz2100)), Pos(yuz160)) -> new_esEs2(Succ(yuz2100), yuz160)
48.79/29.31	   new_esEs1(Neg(Succ(yuz2100)), Pos(yuz160)) -> new_esEs5
48.79/29.31	   new_esEs5 -> True
48.79/29.31	   new_esEs2(Succ(yuz23000), Succ(yuz1300000)) -> new_esEs2(yuz23000, yuz1300000)
48.79/29.31	   new_esEs2(Succ(yuz23000), Zero) -> new_esEs3
48.79/29.31	   new_esEs3 -> False
48.79/29.31	   new_esEs2(Zero, Succ(yuz1300000)) -> new_esEs5
48.79/29.31	   new_esEs2(Zero, Zero) -> new_esEs4
48.79/29.31	   new_esEs4 -> False
48.79/29.31	   new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> yuz202
48.79/29.31	   new_primMulInt(Pos(yuz13580)) -> Pos(new_primMulNat2(yuz13580))
48.79/29.31	   new_primMulInt(Neg(yuz13580)) -> Neg(new_primMulNat2(yuz13580))
48.79/29.31	   new_primMulNat2(Succ(yuz135800)) -> new_primPlusNat0(new_primMulNat3(Succ(Succ(Succ(Succ(Zero)))), yuz135800), Succ(yuz135800))
48.79/29.31	   new_primMulNat2(Zero) -> Zero
48.79/29.31	   new_primMulNat3(Succ(yuz400000), yuz60100) -> new_primPlusNat1(new_primMulNat3(yuz400000, yuz60100), yuz60100)
48.79/29.31	   new_primPlusNat0(Zero, Succ(yuz601000)) -> Succ(yuz601000)
48.79/29.31	   new_primPlusNat0(Succ(yuz15200), Succ(yuz601000)) -> Succ(Succ(new_primPlusNat0(yuz15200, yuz601000)))
48.79/29.31	   new_primPlusNat0(Succ(yuz15200), Zero) -> Succ(yuz15200)
48.79/29.31	   new_primPlusNat0(Zero, Zero) -> Zero
48.79/29.31	   new_primMulNat3(Zero, yuz60100) -> Zero
48.79/29.31	   new_primPlusNat1(Zero, yuz60100) -> Succ(yuz60100)
48.79/29.31	   new_primPlusNat1(Succ(yuz1520), yuz60100) -> Succ(Succ(new_primPlusNat0(yuz1520, yuz60100)))
48.79/29.31	
48.79/29.31	The set Q consists of the following terms:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3Size_r(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.31	   new_primPlusNat1(Succ(x0), x1)
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Zero))
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Zero))
48.79/29.31	   new_primPlusNat1(Zero, x0)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Succ(x0)))
48.79/29.31	   new_esEs1(Pos(Succ(x0)), Pos(x1))
48.79/29.31	   new_esEs3
48.79/29.31	   new_primMulNat3(Succ(x0), x1)
48.79/29.31	   new_mkVBalBranch3Size_l(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.31	   new_primMulInt(Pos(x0))
48.79/29.31	   new_primPlusNat0(Succ(x0), Succ(x1))
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Succ(x0)))
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Succ(x0)))
48.79/29.31	   new_esEs2(Succ(x0), Zero)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Zero))
48.79/29.31	   new_esEs5
48.79/29.31	   new_esEs2(Zero, Succ(x0))
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Zero))
48.79/29.31	   new_primMulInt(Neg(x0))
48.79/29.31	   new_primMulNat2(Succ(x0))
48.79/29.31	   new_esEs1(Neg(Succ(x0)), Neg(x1))
48.79/29.31	   new_esEs2(Zero, Zero)
48.79/29.31	   new_primPlusNat0(Succ(x0), Zero)
48.79/29.31	   new_sizeFM(x0, x1, x2, x3, x4, x5, x6)
48.79/29.31	   new_primMulNat2(Zero)
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Succ(x0)))
48.79/29.31	   new_primPlusNat0(Zero, Succ(x0))
48.79/29.31	   new_esEs2(Succ(x0), Succ(x1))
48.79/29.31	   new_sr3(x0)
48.79/29.31	   new_esEs1(Pos(Succ(x0)), Neg(x1))
48.79/29.31	   new_esEs1(Neg(Succ(x0)), Pos(x1))
48.79/29.31	   new_esEs4
48.79/29.31	   new_primPlusNat0(Zero, Zero)
48.79/29.31	   new_primMulNat3(Zero, x0)
48.79/29.31	
48.79/29.31	We have to consider all minimal (P,Q,R)-chains.
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(82) TransformationProof (EQUIVALENT)
48.79/29.31	By rewriting [LPAR04] the rule new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_sr3(new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba) at position [12,0] we obtained the following new rules [LPAR04]:
48.79/29.31	
48.79/29.31	   (new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba),new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba))
48.79/29.31	
48.79/29.31	
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(83)
48.79/29.31	Obligation:
48.79/29.31	Q DP problem:
48.79/29.31	The TRS P consists of the following rules:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, Branch(yuz2040, yuz2041, yuz2042, yuz2043, yuz2044), yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3(yuz21, yuz22, yuz2040, yuz2041, yuz2042, yuz2043, yuz2044, yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.31	   new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	
48.79/29.31	The TRS R consists of the following rules:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.31	   new_sr3(yuz1358) -> new_primMulInt(yuz1358)
48.79/29.31	   new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Succ(yuz1600))) -> new_esEs5
48.79/29.31	   new_esEs1(Neg(Succ(yuz2100)), Neg(yuz160)) -> new_esEs2(yuz160, Succ(yuz2100))
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Succ(yuz1600))) -> new_esEs2(Zero, Succ(yuz1600))
48.79/29.31	   new_esEs1(Pos(Succ(yuz2100)), Neg(yuz160)) -> new_esEs3
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Succ(yuz1600))) -> new_esEs3
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Succ(yuz1600))) -> new_esEs2(Succ(yuz1600), Zero)
48.79/29.31	   new_esEs1(Pos(Succ(yuz2100)), Pos(yuz160)) -> new_esEs2(Succ(yuz2100), yuz160)
48.79/29.31	   new_esEs1(Neg(Succ(yuz2100)), Pos(yuz160)) -> new_esEs5
48.79/29.31	   new_esEs5 -> True
48.79/29.31	   new_esEs2(Succ(yuz23000), Succ(yuz1300000)) -> new_esEs2(yuz23000, yuz1300000)
48.79/29.31	   new_esEs2(Succ(yuz23000), Zero) -> new_esEs3
48.79/29.31	   new_esEs3 -> False
48.79/29.31	   new_esEs2(Zero, Succ(yuz1300000)) -> new_esEs5
48.79/29.31	   new_esEs2(Zero, Zero) -> new_esEs4
48.79/29.31	   new_esEs4 -> False
48.79/29.31	   new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> yuz202
48.79/29.31	   new_primMulInt(Pos(yuz13580)) -> Pos(new_primMulNat2(yuz13580))
48.79/29.31	   new_primMulInt(Neg(yuz13580)) -> Neg(new_primMulNat2(yuz13580))
48.79/29.31	   new_primMulNat2(Succ(yuz135800)) -> new_primPlusNat0(new_primMulNat3(Succ(Succ(Succ(Succ(Zero)))), yuz135800), Succ(yuz135800))
48.79/29.31	   new_primMulNat2(Zero) -> Zero
48.79/29.31	   new_primMulNat3(Succ(yuz400000), yuz60100) -> new_primPlusNat1(new_primMulNat3(yuz400000, yuz60100), yuz60100)
48.79/29.31	   new_primPlusNat0(Zero, Succ(yuz601000)) -> Succ(yuz601000)
48.79/29.31	   new_primPlusNat0(Succ(yuz15200), Succ(yuz601000)) -> Succ(Succ(new_primPlusNat0(yuz15200, yuz601000)))
48.79/29.31	   new_primPlusNat0(Succ(yuz15200), Zero) -> Succ(yuz15200)
48.79/29.31	   new_primPlusNat0(Zero, Zero) -> Zero
48.79/29.31	   new_primMulNat3(Zero, yuz60100) -> Zero
48.79/29.31	   new_primPlusNat1(Zero, yuz60100) -> Succ(yuz60100)
48.79/29.31	   new_primPlusNat1(Succ(yuz1520), yuz60100) -> Succ(Succ(new_primPlusNat0(yuz1520, yuz60100)))
48.79/29.31	
48.79/29.31	The set Q consists of the following terms:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3Size_r(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.31	   new_primPlusNat1(Succ(x0), x1)
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Zero))
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Zero))
48.79/29.31	   new_primPlusNat1(Zero, x0)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Succ(x0)))
48.79/29.31	   new_esEs1(Pos(Succ(x0)), Pos(x1))
48.79/29.31	   new_esEs3
48.79/29.31	   new_primMulNat3(Succ(x0), x1)
48.79/29.31	   new_mkVBalBranch3Size_l(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.31	   new_primMulInt(Pos(x0))
48.79/29.31	   new_primPlusNat0(Succ(x0), Succ(x1))
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Succ(x0)))
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Succ(x0)))
48.79/29.31	   new_esEs2(Succ(x0), Zero)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Zero))
48.79/29.31	   new_esEs5
48.79/29.31	   new_esEs2(Zero, Succ(x0))
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Zero))
48.79/29.31	   new_primMulInt(Neg(x0))
48.79/29.31	   new_primMulNat2(Succ(x0))
48.79/29.31	   new_esEs1(Neg(Succ(x0)), Neg(x1))
48.79/29.31	   new_esEs2(Zero, Zero)
48.79/29.31	   new_primPlusNat0(Succ(x0), Zero)
48.79/29.31	   new_sizeFM(x0, x1, x2, x3, x4, x5, x6)
48.79/29.31	   new_primMulNat2(Zero)
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Succ(x0)))
48.79/29.31	   new_primPlusNat0(Zero, Succ(x0))
48.79/29.31	   new_esEs2(Succ(x0), Succ(x1))
48.79/29.31	   new_sr3(x0)
48.79/29.31	   new_esEs1(Pos(Succ(x0)), Neg(x1))
48.79/29.31	   new_esEs1(Neg(Succ(x0)), Pos(x1))
48.79/29.31	   new_esEs4
48.79/29.31	   new_primPlusNat0(Zero, Zero)
48.79/29.31	   new_primMulNat3(Zero, x0)
48.79/29.31	
48.79/29.31	We have to consider all minimal (P,Q,R)-chains.
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(84) UsableRulesProof (EQUIVALENT)
48.79/29.31	As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [LPAR04] we can delete all non-usable rules [FROCOS05] from R.
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(85)
48.79/29.31	Obligation:
48.79/29.31	Q DP problem:
48.79/29.31	The TRS P consists of the following rules:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, Branch(yuz2040, yuz2041, yuz2042, yuz2043, yuz2044), yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3(yuz21, yuz22, yuz2040, yuz2041, yuz2042, yuz2043, yuz2044, yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.31	   new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	
48.79/29.31	The TRS R consists of the following rules:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.31	   new_primMulInt(Pos(yuz13580)) -> Pos(new_primMulNat2(yuz13580))
48.79/29.31	   new_primMulInt(Neg(yuz13580)) -> Neg(new_primMulNat2(yuz13580))
48.79/29.31	   new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Succ(yuz1600))) -> new_esEs5
48.79/29.31	   new_esEs1(Neg(Succ(yuz2100)), Neg(yuz160)) -> new_esEs2(yuz160, Succ(yuz2100))
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Succ(yuz1600))) -> new_esEs2(Zero, Succ(yuz1600))
48.79/29.31	   new_esEs1(Pos(Succ(yuz2100)), Neg(yuz160)) -> new_esEs3
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Succ(yuz1600))) -> new_esEs3
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Succ(yuz1600))) -> new_esEs2(Succ(yuz1600), Zero)
48.79/29.31	   new_esEs1(Pos(Succ(yuz2100)), Pos(yuz160)) -> new_esEs2(Succ(yuz2100), yuz160)
48.79/29.31	   new_esEs1(Neg(Succ(yuz2100)), Pos(yuz160)) -> new_esEs5
48.79/29.31	   new_esEs5 -> True
48.79/29.31	   new_esEs2(Succ(yuz23000), Succ(yuz1300000)) -> new_esEs2(yuz23000, yuz1300000)
48.79/29.31	   new_esEs2(Succ(yuz23000), Zero) -> new_esEs3
48.79/29.31	   new_esEs3 -> False
48.79/29.31	   new_esEs2(Zero, Succ(yuz1300000)) -> new_esEs5
48.79/29.31	   new_esEs2(Zero, Zero) -> new_esEs4
48.79/29.31	   new_esEs4 -> False
48.79/29.31	   new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> yuz202
48.79/29.31	   new_primMulNat2(Succ(yuz135800)) -> new_primPlusNat0(new_primMulNat3(Succ(Succ(Succ(Succ(Zero)))), yuz135800), Succ(yuz135800))
48.79/29.31	   new_primMulNat2(Zero) -> Zero
48.79/29.31	   new_primMulNat3(Succ(yuz400000), yuz60100) -> new_primPlusNat1(new_primMulNat3(yuz400000, yuz60100), yuz60100)
48.79/29.31	   new_primPlusNat0(Zero, Succ(yuz601000)) -> Succ(yuz601000)
48.79/29.31	   new_primPlusNat0(Succ(yuz15200), Succ(yuz601000)) -> Succ(Succ(new_primPlusNat0(yuz15200, yuz601000)))
48.79/29.31	   new_primPlusNat0(Succ(yuz15200), Zero) -> Succ(yuz15200)
48.79/29.31	   new_primPlusNat0(Zero, Zero) -> Zero
48.79/29.31	   new_primMulNat3(Zero, yuz60100) -> Zero
48.79/29.31	   new_primPlusNat1(Zero, yuz60100) -> Succ(yuz60100)
48.79/29.31	   new_primPlusNat1(Succ(yuz1520), yuz60100) -> Succ(Succ(new_primPlusNat0(yuz1520, yuz60100)))
48.79/29.31	
48.79/29.31	The set Q consists of the following terms:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3Size_r(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.31	   new_primPlusNat1(Succ(x0), x1)
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Zero))
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Zero))
48.79/29.31	   new_primPlusNat1(Zero, x0)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Succ(x0)))
48.79/29.31	   new_esEs1(Pos(Succ(x0)), Pos(x1))
48.79/29.31	   new_esEs3
48.79/29.31	   new_primMulNat3(Succ(x0), x1)
48.79/29.31	   new_mkVBalBranch3Size_l(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.31	   new_primMulInt(Pos(x0))
48.79/29.31	   new_primPlusNat0(Succ(x0), Succ(x1))
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Succ(x0)))
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Succ(x0)))
48.79/29.31	   new_esEs2(Succ(x0), Zero)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Zero))
48.79/29.31	   new_esEs5
48.79/29.31	   new_esEs2(Zero, Succ(x0))
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Zero))
48.79/29.31	   new_primMulInt(Neg(x0))
48.79/29.31	   new_primMulNat2(Succ(x0))
48.79/29.31	   new_esEs1(Neg(Succ(x0)), Neg(x1))
48.79/29.31	   new_esEs2(Zero, Zero)
48.79/29.31	   new_primPlusNat0(Succ(x0), Zero)
48.79/29.31	   new_sizeFM(x0, x1, x2, x3, x4, x5, x6)
48.79/29.31	   new_primMulNat2(Zero)
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Succ(x0)))
48.79/29.31	   new_primPlusNat0(Zero, Succ(x0))
48.79/29.31	   new_esEs2(Succ(x0), Succ(x1))
48.79/29.31	   new_sr3(x0)
48.79/29.31	   new_esEs1(Pos(Succ(x0)), Neg(x1))
48.79/29.31	   new_esEs1(Neg(Succ(x0)), Pos(x1))
48.79/29.31	   new_esEs4
48.79/29.31	   new_primPlusNat0(Zero, Zero)
48.79/29.31	   new_primMulNat3(Zero, x0)
48.79/29.31	
48.79/29.31	We have to consider all minimal (P,Q,R)-chains.
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(86) QReductionProof (EQUIVALENT)
48.79/29.31	We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.[THIEMANN].
48.79/29.31	
48.79/29.31	   new_sr3(x0)
48.79/29.31	
48.79/29.31	
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(87)
48.79/29.31	Obligation:
48.79/29.31	Q DP problem:
48.79/29.31	The TRS P consists of the following rules:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, Branch(yuz2040, yuz2041, yuz2042, yuz2043, yuz2044), yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3(yuz21, yuz22, yuz2040, yuz2041, yuz2042, yuz2043, yuz2044, yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.31	   new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	
48.79/29.31	The TRS R consists of the following rules:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.31	   new_primMulInt(Pos(yuz13580)) -> Pos(new_primMulNat2(yuz13580))
48.79/29.31	   new_primMulInt(Neg(yuz13580)) -> Neg(new_primMulNat2(yuz13580))
48.79/29.31	   new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Succ(yuz1600))) -> new_esEs5
48.79/29.31	   new_esEs1(Neg(Succ(yuz2100)), Neg(yuz160)) -> new_esEs2(yuz160, Succ(yuz2100))
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Succ(yuz1600))) -> new_esEs2(Zero, Succ(yuz1600))
48.79/29.31	   new_esEs1(Pos(Succ(yuz2100)), Neg(yuz160)) -> new_esEs3
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Succ(yuz1600))) -> new_esEs3
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Succ(yuz1600))) -> new_esEs2(Succ(yuz1600), Zero)
48.79/29.31	   new_esEs1(Pos(Succ(yuz2100)), Pos(yuz160)) -> new_esEs2(Succ(yuz2100), yuz160)
48.79/29.31	   new_esEs1(Neg(Succ(yuz2100)), Pos(yuz160)) -> new_esEs5
48.79/29.31	   new_esEs5 -> True
48.79/29.31	   new_esEs2(Succ(yuz23000), Succ(yuz1300000)) -> new_esEs2(yuz23000, yuz1300000)
48.79/29.31	   new_esEs2(Succ(yuz23000), Zero) -> new_esEs3
48.79/29.31	   new_esEs3 -> False
48.79/29.31	   new_esEs2(Zero, Succ(yuz1300000)) -> new_esEs5
48.79/29.31	   new_esEs2(Zero, Zero) -> new_esEs4
48.79/29.31	   new_esEs4 -> False
48.79/29.31	   new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> yuz202
48.79/29.31	   new_primMulNat2(Succ(yuz135800)) -> new_primPlusNat0(new_primMulNat3(Succ(Succ(Succ(Succ(Zero)))), yuz135800), Succ(yuz135800))
48.79/29.31	   new_primMulNat2(Zero) -> Zero
48.79/29.31	   new_primMulNat3(Succ(yuz400000), yuz60100) -> new_primPlusNat1(new_primMulNat3(yuz400000, yuz60100), yuz60100)
48.79/29.31	   new_primPlusNat0(Zero, Succ(yuz601000)) -> Succ(yuz601000)
48.79/29.31	   new_primPlusNat0(Succ(yuz15200), Succ(yuz601000)) -> Succ(Succ(new_primPlusNat0(yuz15200, yuz601000)))
48.79/29.31	   new_primPlusNat0(Succ(yuz15200), Zero) -> Succ(yuz15200)
48.79/29.31	   new_primPlusNat0(Zero, Zero) -> Zero
48.79/29.31	   new_primMulNat3(Zero, yuz60100) -> Zero
48.79/29.31	   new_primPlusNat1(Zero, yuz60100) -> Succ(yuz60100)
48.79/29.31	   new_primPlusNat1(Succ(yuz1520), yuz60100) -> Succ(Succ(new_primPlusNat0(yuz1520, yuz60100)))
48.79/29.31	
48.79/29.31	The set Q consists of the following terms:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3Size_r(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.31	   new_primPlusNat1(Succ(x0), x1)
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Zero))
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Zero))
48.79/29.31	   new_primPlusNat1(Zero, x0)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Succ(x0)))
48.79/29.31	   new_esEs1(Pos(Succ(x0)), Pos(x1))
48.79/29.31	   new_esEs3
48.79/29.31	   new_primMulNat3(Succ(x0), x1)
48.79/29.31	   new_mkVBalBranch3Size_l(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.31	   new_primMulInt(Pos(x0))
48.79/29.31	   new_primPlusNat0(Succ(x0), Succ(x1))
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Succ(x0)))
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Succ(x0)))
48.79/29.31	   new_esEs2(Succ(x0), Zero)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Zero))
48.79/29.31	   new_esEs5
48.79/29.31	   new_esEs2(Zero, Succ(x0))
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Zero))
48.79/29.31	   new_primMulInt(Neg(x0))
48.79/29.31	   new_primMulNat2(Succ(x0))
48.79/29.31	   new_esEs1(Neg(Succ(x0)), Neg(x1))
48.79/29.31	   new_esEs2(Zero, Zero)
48.79/29.31	   new_primPlusNat0(Succ(x0), Zero)
48.79/29.31	   new_sizeFM(x0, x1, x2, x3, x4, x5, x6)
48.79/29.31	   new_primMulNat2(Zero)
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Succ(x0)))
48.79/29.31	   new_primPlusNat0(Zero, Succ(x0))
48.79/29.31	   new_esEs2(Succ(x0), Succ(x1))
48.79/29.31	   new_esEs1(Pos(Succ(x0)), Neg(x1))
48.79/29.31	   new_esEs1(Neg(Succ(x0)), Pos(x1))
48.79/29.31	   new_esEs4
48.79/29.31	   new_primPlusNat0(Zero, Zero)
48.79/29.31	   new_primMulNat3(Zero, x0)
48.79/29.31	
48.79/29.31	We have to consider all minimal (P,Q,R)-chains.
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(88) TransformationProof (EQUIVALENT)
48.79/29.31	By rewriting [LPAR04] the rule new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba) at position [12,0,0] we obtained the following new rules [LPAR04]:
48.79/29.31	
48.79/29.31	   (new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba),new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba))
48.79/29.31	
48.79/29.31	
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(89)
48.79/29.31	Obligation:
48.79/29.31	Q DP problem:
48.79/29.31	The TRS P consists of the following rules:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, Branch(yuz2040, yuz2041, yuz2042, yuz2043, yuz2044), yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3(yuz21, yuz22, yuz2040, yuz2041, yuz2042, yuz2043, yuz2044, yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.31	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	   new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	
48.79/29.31	The TRS R consists of the following rules:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.31	   new_primMulInt(Pos(yuz13580)) -> Pos(new_primMulNat2(yuz13580))
48.79/29.31	   new_primMulInt(Neg(yuz13580)) -> Neg(new_primMulNat2(yuz13580))
48.79/29.31	   new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Succ(yuz1600))) -> new_esEs5
48.79/29.31	   new_esEs1(Neg(Succ(yuz2100)), Neg(yuz160)) -> new_esEs2(yuz160, Succ(yuz2100))
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Succ(yuz1600))) -> new_esEs2(Zero, Succ(yuz1600))
48.79/29.31	   new_esEs1(Pos(Succ(yuz2100)), Neg(yuz160)) -> new_esEs3
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Succ(yuz1600))) -> new_esEs3
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Succ(yuz1600))) -> new_esEs2(Succ(yuz1600), Zero)
48.79/29.31	   new_esEs1(Pos(Succ(yuz2100)), Pos(yuz160)) -> new_esEs2(Succ(yuz2100), yuz160)
48.79/29.31	   new_esEs1(Neg(Succ(yuz2100)), Pos(yuz160)) -> new_esEs5
48.79/29.31	   new_esEs5 -> True
48.79/29.31	   new_esEs2(Succ(yuz23000), Succ(yuz1300000)) -> new_esEs2(yuz23000, yuz1300000)
48.79/29.31	   new_esEs2(Succ(yuz23000), Zero) -> new_esEs3
48.79/29.31	   new_esEs3 -> False
48.79/29.31	   new_esEs2(Zero, Succ(yuz1300000)) -> new_esEs5
48.79/29.31	   new_esEs2(Zero, Zero) -> new_esEs4
48.79/29.31	   new_esEs4 -> False
48.79/29.31	   new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> yuz202
48.79/29.31	   new_primMulNat2(Succ(yuz135800)) -> new_primPlusNat0(new_primMulNat3(Succ(Succ(Succ(Succ(Zero)))), yuz135800), Succ(yuz135800))
48.79/29.31	   new_primMulNat2(Zero) -> Zero
48.79/29.31	   new_primMulNat3(Succ(yuz400000), yuz60100) -> new_primPlusNat1(new_primMulNat3(yuz400000, yuz60100), yuz60100)
48.79/29.31	   new_primPlusNat0(Zero, Succ(yuz601000)) -> Succ(yuz601000)
48.79/29.31	   new_primPlusNat0(Succ(yuz15200), Succ(yuz601000)) -> Succ(Succ(new_primPlusNat0(yuz15200, yuz601000)))
48.79/29.31	   new_primPlusNat0(Succ(yuz15200), Zero) -> Succ(yuz15200)
48.79/29.31	   new_primPlusNat0(Zero, Zero) -> Zero
48.79/29.31	   new_primMulNat3(Zero, yuz60100) -> Zero
48.79/29.31	   new_primPlusNat1(Zero, yuz60100) -> Succ(yuz60100)
48.79/29.31	   new_primPlusNat1(Succ(yuz1520), yuz60100) -> Succ(Succ(new_primPlusNat0(yuz1520, yuz60100)))
48.79/29.31	
48.79/29.31	The set Q consists of the following terms:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3Size_r(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.31	   new_primPlusNat1(Succ(x0), x1)
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Zero))
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Zero))
48.79/29.31	   new_primPlusNat1(Zero, x0)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Succ(x0)))
48.79/29.31	   new_esEs1(Pos(Succ(x0)), Pos(x1))
48.79/29.31	   new_esEs3
48.79/29.31	   new_primMulNat3(Succ(x0), x1)
48.79/29.31	   new_mkVBalBranch3Size_l(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.31	   new_primMulInt(Pos(x0))
48.79/29.31	   new_primPlusNat0(Succ(x0), Succ(x1))
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Succ(x0)))
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Succ(x0)))
48.79/29.31	   new_esEs2(Succ(x0), Zero)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Zero))
48.79/29.31	   new_esEs5
48.79/29.31	   new_esEs2(Zero, Succ(x0))
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Zero))
48.79/29.31	   new_primMulInt(Neg(x0))
48.79/29.31	   new_primMulNat2(Succ(x0))
48.79/29.31	   new_esEs1(Neg(Succ(x0)), Neg(x1))
48.79/29.31	   new_esEs2(Zero, Zero)
48.79/29.31	   new_primPlusNat0(Succ(x0), Zero)
48.79/29.31	   new_sizeFM(x0, x1, x2, x3, x4, x5, x6)
48.79/29.31	   new_primMulNat2(Zero)
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Succ(x0)))
48.79/29.31	   new_primPlusNat0(Zero, Succ(x0))
48.79/29.31	   new_esEs2(Succ(x0), Succ(x1))
48.79/29.31	   new_esEs1(Pos(Succ(x0)), Neg(x1))
48.79/29.31	   new_esEs1(Neg(Succ(x0)), Pos(x1))
48.79/29.31	   new_esEs4
48.79/29.31	   new_primPlusNat0(Zero, Zero)
48.79/29.31	   new_primMulNat3(Zero, x0)
48.79/29.31	
48.79/29.31	We have to consider all minimal (P,Q,R)-chains.
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(90) TransformationProof (EQUIVALENT)
48.79/29.31	By rewriting [LPAR04] the rule new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_mkVBalBranch3Size_l(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba) at position [12,0,0] we obtained the following new rules [LPAR04]:
48.79/29.31	
48.79/29.31	   (new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba),new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba))
48.79/29.31	
48.79/29.31	
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(91)
48.79/29.31	Obligation:
48.79/29.31	Q DP problem:
48.79/29.31	The TRS P consists of the following rules:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, Branch(yuz2040, yuz2041, yuz2042, yuz2043, yuz2044), yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3(yuz21, yuz22, yuz2040, yuz2041, yuz2042, yuz2043, yuz2044, yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.31	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	   new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	
48.79/29.31	The TRS R consists of the following rules:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.31	   new_primMulInt(Pos(yuz13580)) -> Pos(new_primMulNat2(yuz13580))
48.79/29.31	   new_primMulInt(Neg(yuz13580)) -> Neg(new_primMulNat2(yuz13580))
48.79/29.31	   new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Succ(yuz1600))) -> new_esEs5
48.79/29.31	   new_esEs1(Neg(Succ(yuz2100)), Neg(yuz160)) -> new_esEs2(yuz160, Succ(yuz2100))
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Succ(yuz1600))) -> new_esEs2(Zero, Succ(yuz1600))
48.79/29.31	   new_esEs1(Pos(Succ(yuz2100)), Neg(yuz160)) -> new_esEs3
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Succ(yuz1600))) -> new_esEs3
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Succ(yuz1600))) -> new_esEs2(Succ(yuz1600), Zero)
48.79/29.31	   new_esEs1(Pos(Succ(yuz2100)), Pos(yuz160)) -> new_esEs2(Succ(yuz2100), yuz160)
48.79/29.31	   new_esEs1(Neg(Succ(yuz2100)), Pos(yuz160)) -> new_esEs5
48.79/29.31	   new_esEs5 -> True
48.79/29.31	   new_esEs2(Succ(yuz23000), Succ(yuz1300000)) -> new_esEs2(yuz23000, yuz1300000)
48.79/29.31	   new_esEs2(Succ(yuz23000), Zero) -> new_esEs3
48.79/29.31	   new_esEs3 -> False
48.79/29.31	   new_esEs2(Zero, Succ(yuz1300000)) -> new_esEs5
48.79/29.31	   new_esEs2(Zero, Zero) -> new_esEs4
48.79/29.31	   new_esEs4 -> False
48.79/29.31	   new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> yuz202
48.79/29.31	   new_primMulNat2(Succ(yuz135800)) -> new_primPlusNat0(new_primMulNat3(Succ(Succ(Succ(Succ(Zero)))), yuz135800), Succ(yuz135800))
48.79/29.31	   new_primMulNat2(Zero) -> Zero
48.79/29.31	   new_primMulNat3(Succ(yuz400000), yuz60100) -> new_primPlusNat1(new_primMulNat3(yuz400000, yuz60100), yuz60100)
48.79/29.31	   new_primPlusNat0(Zero, Succ(yuz601000)) -> Succ(yuz601000)
48.79/29.31	   new_primPlusNat0(Succ(yuz15200), Succ(yuz601000)) -> Succ(Succ(new_primPlusNat0(yuz15200, yuz601000)))
48.79/29.31	   new_primPlusNat0(Succ(yuz15200), Zero) -> Succ(yuz15200)
48.79/29.31	   new_primPlusNat0(Zero, Zero) -> Zero
48.79/29.31	   new_primMulNat3(Zero, yuz60100) -> Zero
48.79/29.31	   new_primPlusNat1(Zero, yuz60100) -> Succ(yuz60100)
48.79/29.31	   new_primPlusNat1(Succ(yuz1520), yuz60100) -> Succ(Succ(new_primPlusNat0(yuz1520, yuz60100)))
48.79/29.31	
48.79/29.31	The set Q consists of the following terms:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3Size_r(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.31	   new_primPlusNat1(Succ(x0), x1)
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Zero))
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Zero))
48.79/29.31	   new_primPlusNat1(Zero, x0)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Succ(x0)))
48.79/29.31	   new_esEs1(Pos(Succ(x0)), Pos(x1))
48.79/29.31	   new_esEs3
48.79/29.31	   new_primMulNat3(Succ(x0), x1)
48.79/29.31	   new_mkVBalBranch3Size_l(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.31	   new_primMulInt(Pos(x0))
48.79/29.31	   new_primPlusNat0(Succ(x0), Succ(x1))
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Succ(x0)))
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Succ(x0)))
48.79/29.31	   new_esEs2(Succ(x0), Zero)
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Zero))
48.79/29.31	   new_esEs5
48.79/29.31	   new_esEs2(Zero, Succ(x0))
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Zero))
48.79/29.31	   new_primMulInt(Neg(x0))
48.79/29.31	   new_primMulNat2(Succ(x0))
48.79/29.31	   new_esEs1(Neg(Succ(x0)), Neg(x1))
48.79/29.31	   new_esEs2(Zero, Zero)
48.79/29.31	   new_primPlusNat0(Succ(x0), Zero)
48.79/29.31	   new_sizeFM(x0, x1, x2, x3, x4, x5, x6)
48.79/29.31	   new_primMulNat2(Zero)
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Succ(x0)))
48.79/29.31	   new_primPlusNat0(Zero, Succ(x0))
48.79/29.31	   new_esEs2(Succ(x0), Succ(x1))
48.79/29.31	   new_esEs1(Pos(Succ(x0)), Neg(x1))
48.79/29.31	   new_esEs1(Neg(Succ(x0)), Pos(x1))
48.79/29.31	   new_esEs4
48.79/29.31	   new_primPlusNat0(Zero, Zero)
48.79/29.31	   new_primMulNat3(Zero, x0)
48.79/29.31	
48.79/29.31	We have to consider all minimal (P,Q,R)-chains.
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(92) TransformationProof (EQUIVALENT)
48.79/29.31	By rewriting [LPAR04] the rule new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba) at position [12,0,0] we obtained the following new rules [LPAR04]:
48.79/29.31	
48.79/29.31	   (new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_sizeFM(yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba),new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_sizeFM(yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba))
48.79/29.31	
48.79/29.31	
48.79/29.31	----------------------------------------
48.79/29.31	
48.79/29.31	(93)
48.79/29.31	Obligation:
48.79/29.31	Q DP problem:
48.79/29.31	The TRS P consists of the following rules:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, Branch(yuz2040, yuz2041, yuz2042, yuz2043, yuz2044), yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3(yuz21, yuz22, yuz2040, yuz2041, yuz2042, yuz2043, yuz2044, yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.31	   new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_sizeFM(yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.31	
48.79/29.31	The TRS R consists of the following rules:
48.79/29.31	
48.79/29.31	   new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.31	   new_primMulInt(Pos(yuz13580)) -> Pos(new_primMulNat2(yuz13580))
48.79/29.31	   new_primMulInt(Neg(yuz13580)) -> Neg(new_primMulNat2(yuz13580))
48.79/29.31	   new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Neg(Zero), Pos(Succ(yuz1600))) -> new_esEs5
48.79/29.31	   new_esEs1(Neg(Succ(yuz2100)), Neg(yuz160)) -> new_esEs2(yuz160, Succ(yuz2100))
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Zero)) -> new_esEs4
48.79/29.31	   new_esEs1(Pos(Zero), Pos(Succ(yuz1600))) -> new_esEs2(Zero, Succ(yuz1600))
48.79/29.31	   new_esEs1(Pos(Succ(yuz2100)), Neg(yuz160)) -> new_esEs3
48.79/29.31	   new_esEs1(Pos(Zero), Neg(Succ(yuz1600))) -> new_esEs3
48.79/29.31	   new_esEs1(Neg(Zero), Neg(Succ(yuz1600))) -> new_esEs2(Succ(yuz1600), Zero)
48.79/29.31	   new_esEs1(Pos(Succ(yuz2100)), Pos(yuz160)) -> new_esEs2(Succ(yuz2100), yuz160)
48.79/29.31	   new_esEs1(Neg(Succ(yuz2100)), Pos(yuz160)) -> new_esEs5
48.79/29.31	   new_esEs5 -> True
48.79/29.31	   new_esEs2(Succ(yuz23000), Succ(yuz1300000)) -> new_esEs2(yuz23000, yuz1300000)
48.79/29.31	   new_esEs2(Succ(yuz23000), Zero) -> new_esEs3
48.79/29.31	   new_esEs3 -> False
48.79/29.31	   new_esEs2(Zero, Succ(yuz1300000)) -> new_esEs5
48.79/29.31	   new_esEs2(Zero, Zero) -> new_esEs4
48.79/29.31	   new_esEs4 -> False
48.79/29.31	   new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> yuz202
48.79/29.31	   new_primMulNat2(Succ(yuz135800)) -> new_primPlusNat0(new_primMulNat3(Succ(Succ(Succ(Succ(Zero)))), yuz135800), Succ(yuz135800))
48.79/29.31	   new_primMulNat2(Zero) -> Zero
48.79/29.31	   new_primMulNat3(Succ(yuz400000), yuz60100) -> new_primPlusNat1(new_primMulNat3(yuz400000, yuz60100), yuz60100)
48.79/29.32	   new_primPlusNat0(Zero, Succ(yuz601000)) -> Succ(yuz601000)
48.79/29.32	   new_primPlusNat0(Succ(yuz15200), Succ(yuz601000)) -> Succ(Succ(new_primPlusNat0(yuz15200, yuz601000)))
48.79/29.32	   new_primPlusNat0(Succ(yuz15200), Zero) -> Succ(yuz15200)
48.79/29.32	   new_primPlusNat0(Zero, Zero) -> Zero
48.79/29.32	   new_primMulNat3(Zero, yuz60100) -> Zero
48.79/29.32	   new_primPlusNat1(Zero, yuz60100) -> Succ(yuz60100)
48.79/29.32	   new_primPlusNat1(Succ(yuz1520), yuz60100) -> Succ(Succ(new_primPlusNat0(yuz1520, yuz60100)))
48.79/29.32	
48.79/29.32	The set Q consists of the following terms:
48.79/29.32	
48.79/29.32	   new_mkVBalBranch3Size_r(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.32	   new_primPlusNat1(Succ(x0), x1)
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Zero))
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Zero))
48.79/29.32	   new_primPlusNat1(Zero, x0)
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Succ(x0)))
48.79/29.32	   new_esEs1(Pos(Succ(x0)), Pos(x1))
48.79/29.32	   new_esEs3
48.79/29.32	   new_primMulNat3(Succ(x0), x1)
48.79/29.32	   new_mkVBalBranch3Size_l(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.32	   new_primMulInt(Pos(x0))
48.79/29.32	   new_primPlusNat0(Succ(x0), Succ(x1))
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Succ(x0)))
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Succ(x0)))
48.79/29.32	   new_esEs2(Succ(x0), Zero)
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Zero))
48.79/29.32	   new_esEs5
48.79/29.32	   new_esEs2(Zero, Succ(x0))
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Zero))
48.79/29.32	   new_primMulInt(Neg(x0))
48.79/29.32	   new_primMulNat2(Succ(x0))
48.79/29.32	   new_esEs1(Neg(Succ(x0)), Neg(x1))
48.79/29.32	   new_esEs2(Zero, Zero)
48.79/29.32	   new_primPlusNat0(Succ(x0), Zero)
48.79/29.32	   new_sizeFM(x0, x1, x2, x3, x4, x5, x6)
48.79/29.32	   new_primMulNat2(Zero)
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Succ(x0)))
48.79/29.32	   new_primPlusNat0(Zero, Succ(x0))
48.79/29.32	   new_esEs2(Succ(x0), Succ(x1))
48.79/29.32	   new_esEs1(Pos(Succ(x0)), Neg(x1))
48.79/29.32	   new_esEs1(Neg(Succ(x0)), Pos(x1))
48.79/29.32	   new_esEs4
48.79/29.32	   new_primPlusNat0(Zero, Zero)
48.79/29.32	   new_primMulNat3(Zero, x0)
48.79/29.32	
48.79/29.32	We have to consider all minimal (P,Q,R)-chains.
48.79/29.32	----------------------------------------
48.79/29.32	
48.79/29.32	(94) TransformationProof (EQUIVALENT)
48.79/29.32	By rewriting [LPAR04] the rule new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba) at position [12,0,0] we obtained the following new rules [LPAR04]:
48.79/29.32	
48.79/29.32	   (new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba),new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba))
48.79/29.32	
48.79/29.32	
48.79/29.32	----------------------------------------
48.79/29.32	
48.79/29.32	(95)
48.79/29.32	Obligation:
48.79/29.32	Q DP problem:
48.79/29.32	The TRS P consists of the following rules:
48.79/29.32	
48.79/29.32	   new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, Branch(yuz2040, yuz2041, yuz2042, yuz2043, yuz2044), yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3(yuz21, yuz22, yuz2040, yuz2041, yuz2042, yuz2043, yuz2044, yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.32	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.32	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_sizeFM(yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.32	   new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.32	
48.79/29.32	The TRS R consists of the following rules:
48.79/29.32	
48.79/29.32	   new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.32	   new_primMulInt(Pos(yuz13580)) -> Pos(new_primMulNat2(yuz13580))
48.79/29.32	   new_primMulInt(Neg(yuz13580)) -> Neg(new_primMulNat2(yuz13580))
48.79/29.32	   new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Succ(yuz1600))) -> new_esEs5
48.79/29.32	   new_esEs1(Neg(Succ(yuz2100)), Neg(yuz160)) -> new_esEs2(yuz160, Succ(yuz2100))
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Succ(yuz1600))) -> new_esEs2(Zero, Succ(yuz1600))
48.79/29.32	   new_esEs1(Pos(Succ(yuz2100)), Neg(yuz160)) -> new_esEs3
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Succ(yuz1600))) -> new_esEs3
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Succ(yuz1600))) -> new_esEs2(Succ(yuz1600), Zero)
48.79/29.32	   new_esEs1(Pos(Succ(yuz2100)), Pos(yuz160)) -> new_esEs2(Succ(yuz2100), yuz160)
48.79/29.32	   new_esEs1(Neg(Succ(yuz2100)), Pos(yuz160)) -> new_esEs5
48.79/29.32	   new_esEs5 -> True
48.79/29.32	   new_esEs2(Succ(yuz23000), Succ(yuz1300000)) -> new_esEs2(yuz23000, yuz1300000)
48.79/29.32	   new_esEs2(Succ(yuz23000), Zero) -> new_esEs3
48.79/29.32	   new_esEs3 -> False
48.79/29.32	   new_esEs2(Zero, Succ(yuz1300000)) -> new_esEs5
48.79/29.32	   new_esEs2(Zero, Zero) -> new_esEs4
48.79/29.32	   new_esEs4 -> False
48.79/29.32	   new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> yuz202
48.79/29.32	   new_primMulNat2(Succ(yuz135800)) -> new_primPlusNat0(new_primMulNat3(Succ(Succ(Succ(Succ(Zero)))), yuz135800), Succ(yuz135800))
48.79/29.32	   new_primMulNat2(Zero) -> Zero
48.79/29.32	   new_primMulNat3(Succ(yuz400000), yuz60100) -> new_primPlusNat1(new_primMulNat3(yuz400000, yuz60100), yuz60100)
48.79/29.32	   new_primPlusNat0(Zero, Succ(yuz601000)) -> Succ(yuz601000)
48.79/29.32	   new_primPlusNat0(Succ(yuz15200), Succ(yuz601000)) -> Succ(Succ(new_primPlusNat0(yuz15200, yuz601000)))
48.79/29.32	   new_primPlusNat0(Succ(yuz15200), Zero) -> Succ(yuz15200)
48.79/29.32	   new_primPlusNat0(Zero, Zero) -> Zero
48.79/29.32	   new_primMulNat3(Zero, yuz60100) -> Zero
48.79/29.32	   new_primPlusNat1(Zero, yuz60100) -> Succ(yuz60100)
48.79/29.32	   new_primPlusNat1(Succ(yuz1520), yuz60100) -> Succ(Succ(new_primPlusNat0(yuz1520, yuz60100)))
48.79/29.32	
48.79/29.32	The set Q consists of the following terms:
48.79/29.32	
48.79/29.32	   new_mkVBalBranch3Size_r(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.32	   new_primPlusNat1(Succ(x0), x1)
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Zero))
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Zero))
48.79/29.32	   new_primPlusNat1(Zero, x0)
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Succ(x0)))
48.79/29.32	   new_esEs1(Pos(Succ(x0)), Pos(x1))
48.79/29.32	   new_esEs3
48.79/29.32	   new_primMulNat3(Succ(x0), x1)
48.79/29.32	   new_mkVBalBranch3Size_l(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.32	   new_primMulInt(Pos(x0))
48.79/29.32	   new_primPlusNat0(Succ(x0), Succ(x1))
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Succ(x0)))
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Succ(x0)))
48.79/29.32	   new_esEs2(Succ(x0), Zero)
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Zero))
48.79/29.32	   new_esEs5
48.79/29.32	   new_esEs2(Zero, Succ(x0))
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Zero))
48.79/29.32	   new_primMulInt(Neg(x0))
48.79/29.32	   new_primMulNat2(Succ(x0))
48.79/29.32	   new_esEs1(Neg(Succ(x0)), Neg(x1))
48.79/29.32	   new_esEs2(Zero, Zero)
48.79/29.32	   new_primPlusNat0(Succ(x0), Zero)
48.79/29.32	   new_sizeFM(x0, x1, x2, x3, x4, x5, x6)
48.79/29.32	   new_primMulNat2(Zero)
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Succ(x0)))
48.79/29.32	   new_primPlusNat0(Zero, Succ(x0))
48.79/29.32	   new_esEs2(Succ(x0), Succ(x1))
48.79/29.32	   new_esEs1(Pos(Succ(x0)), Neg(x1))
48.79/29.32	   new_esEs1(Neg(Succ(x0)), Pos(x1))
48.79/29.32	   new_esEs4
48.79/29.32	   new_primPlusNat0(Zero, Zero)
48.79/29.32	   new_primMulNat3(Zero, x0)
48.79/29.32	
48.79/29.32	We have to consider all minimal (P,Q,R)-chains.
48.79/29.32	----------------------------------------
48.79/29.32	
48.79/29.32	(96) TransformationProof (EQUIVALENT)
48.79/29.32	By rewriting [LPAR04] the rule new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba) at position [12,0,0] we obtained the following new rules [LPAR04]:
48.79/29.32	
48.79/29.32	   (new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba),new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba))
48.79/29.32	
48.79/29.32	
48.79/29.32	----------------------------------------
48.79/29.32	
48.79/29.32	(97)
48.79/29.32	Obligation:
48.79/29.32	Q DP problem:
48.79/29.32	The TRS P consists of the following rules:
48.79/29.32	
48.79/29.32	   new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, Branch(yuz2040, yuz2041, yuz2042, yuz2043, yuz2044), yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3(yuz21, yuz22, yuz2040, yuz2041, yuz2042, yuz2043, yuz2044, yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.32	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_sizeFM(yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.32	   new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.32	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.32	
48.79/29.32	The TRS R consists of the following rules:
48.79/29.32	
48.79/29.32	   new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.32	   new_primMulInt(Pos(yuz13580)) -> Pos(new_primMulNat2(yuz13580))
48.79/29.32	   new_primMulInt(Neg(yuz13580)) -> Neg(new_primMulNat2(yuz13580))
48.79/29.32	   new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Succ(yuz1600))) -> new_esEs5
48.79/29.32	   new_esEs1(Neg(Succ(yuz2100)), Neg(yuz160)) -> new_esEs2(yuz160, Succ(yuz2100))
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Succ(yuz1600))) -> new_esEs2(Zero, Succ(yuz1600))
48.79/29.32	   new_esEs1(Pos(Succ(yuz2100)), Neg(yuz160)) -> new_esEs3
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Succ(yuz1600))) -> new_esEs3
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Succ(yuz1600))) -> new_esEs2(Succ(yuz1600), Zero)
48.79/29.32	   new_esEs1(Pos(Succ(yuz2100)), Pos(yuz160)) -> new_esEs2(Succ(yuz2100), yuz160)
48.79/29.32	   new_esEs1(Neg(Succ(yuz2100)), Pos(yuz160)) -> new_esEs5
48.79/29.32	   new_esEs5 -> True
48.79/29.32	   new_esEs2(Succ(yuz23000), Succ(yuz1300000)) -> new_esEs2(yuz23000, yuz1300000)
48.79/29.32	   new_esEs2(Succ(yuz23000), Zero) -> new_esEs3
48.79/29.32	   new_esEs3 -> False
48.79/29.32	   new_esEs2(Zero, Succ(yuz1300000)) -> new_esEs5
48.79/29.32	   new_esEs2(Zero, Zero) -> new_esEs4
48.79/29.32	   new_esEs4 -> False
48.79/29.32	   new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> yuz202
48.79/29.32	   new_primMulNat2(Succ(yuz135800)) -> new_primPlusNat0(new_primMulNat3(Succ(Succ(Succ(Succ(Zero)))), yuz135800), Succ(yuz135800))
48.79/29.32	   new_primMulNat2(Zero) -> Zero
48.79/29.32	   new_primMulNat3(Succ(yuz400000), yuz60100) -> new_primPlusNat1(new_primMulNat3(yuz400000, yuz60100), yuz60100)
48.79/29.32	   new_primPlusNat0(Zero, Succ(yuz601000)) -> Succ(yuz601000)
48.79/29.32	   new_primPlusNat0(Succ(yuz15200), Succ(yuz601000)) -> Succ(Succ(new_primPlusNat0(yuz15200, yuz601000)))
48.79/29.32	   new_primPlusNat0(Succ(yuz15200), Zero) -> Succ(yuz15200)
48.79/29.32	   new_primPlusNat0(Zero, Zero) -> Zero
48.79/29.32	   new_primMulNat3(Zero, yuz60100) -> Zero
48.79/29.32	   new_primPlusNat1(Zero, yuz60100) -> Succ(yuz60100)
48.79/29.32	   new_primPlusNat1(Succ(yuz1520), yuz60100) -> Succ(Succ(new_primPlusNat0(yuz1520, yuz60100)))
48.79/29.32	
48.79/29.32	The set Q consists of the following terms:
48.79/29.32	
48.79/29.32	   new_mkVBalBranch3Size_r(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.32	   new_primPlusNat1(Succ(x0), x1)
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Zero))
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Zero))
48.79/29.32	   new_primPlusNat1(Zero, x0)
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Succ(x0)))
48.79/29.32	   new_esEs1(Pos(Succ(x0)), Pos(x1))
48.79/29.32	   new_esEs3
48.79/29.32	   new_primMulNat3(Succ(x0), x1)
48.79/29.32	   new_mkVBalBranch3Size_l(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.32	   new_primMulInt(Pos(x0))
48.79/29.32	   new_primPlusNat0(Succ(x0), Succ(x1))
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Succ(x0)))
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Succ(x0)))
48.79/29.32	   new_esEs2(Succ(x0), Zero)
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Zero))
48.79/29.32	   new_esEs5
48.79/29.32	   new_esEs2(Zero, Succ(x0))
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Zero))
48.79/29.32	   new_primMulInt(Neg(x0))
48.79/29.32	   new_primMulNat2(Succ(x0))
48.79/29.32	   new_esEs1(Neg(Succ(x0)), Neg(x1))
48.79/29.32	   new_esEs2(Zero, Zero)
48.79/29.32	   new_primPlusNat0(Succ(x0), Zero)
48.79/29.32	   new_sizeFM(x0, x1, x2, x3, x4, x5, x6)
48.79/29.32	   new_primMulNat2(Zero)
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Succ(x0)))
48.79/29.32	   new_primPlusNat0(Zero, Succ(x0))
48.79/29.32	   new_esEs2(Succ(x0), Succ(x1))
48.79/29.32	   new_esEs1(Pos(Succ(x0)), Neg(x1))
48.79/29.32	   new_esEs1(Neg(Succ(x0)), Pos(x1))
48.79/29.32	   new_esEs4
48.79/29.32	   new_primPlusNat0(Zero, Zero)
48.79/29.32	   new_primMulNat3(Zero, x0)
48.79/29.32	
48.79/29.32	We have to consider all minimal (P,Q,R)-chains.
48.79/29.32	----------------------------------------
48.79/29.32	
48.79/29.32	(98) TransformationProof (EQUIVALENT)
48.79/29.32	By rewriting [LPAR04] the rule new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(new_sizeFM(yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba) at position [12,0,0] we obtained the following new rules [LPAR04]:
48.79/29.32	
48.79/29.32	   (new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz142), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba),new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz142), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba))
48.79/29.32	
48.79/29.32	
48.79/29.32	----------------------------------------
48.79/29.32	
48.79/29.32	(99)
48.79/29.32	Obligation:
48.79/29.32	Q DP problem:
48.79/29.32	The TRS P consists of the following rules:
48.79/29.32	
48.79/29.32	   new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, Branch(yuz2040, yuz2041, yuz2042, yuz2043, yuz2044), yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3(yuz21, yuz22, yuz2040, yuz2041, yuz2042, yuz2043, yuz2044, yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.32	   new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.32	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.32	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz142), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.32	
48.79/29.32	The TRS R consists of the following rules:
48.79/29.32	
48.79/29.32	   new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.32	   new_primMulInt(Pos(yuz13580)) -> Pos(new_primMulNat2(yuz13580))
48.79/29.32	   new_primMulInt(Neg(yuz13580)) -> Neg(new_primMulNat2(yuz13580))
48.79/29.32	   new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Succ(yuz1600))) -> new_esEs5
48.79/29.32	   new_esEs1(Neg(Succ(yuz2100)), Neg(yuz160)) -> new_esEs2(yuz160, Succ(yuz2100))
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Succ(yuz1600))) -> new_esEs2(Zero, Succ(yuz1600))
48.79/29.32	   new_esEs1(Pos(Succ(yuz2100)), Neg(yuz160)) -> new_esEs3
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Succ(yuz1600))) -> new_esEs3
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Succ(yuz1600))) -> new_esEs2(Succ(yuz1600), Zero)
48.79/29.32	   new_esEs1(Pos(Succ(yuz2100)), Pos(yuz160)) -> new_esEs2(Succ(yuz2100), yuz160)
48.79/29.32	   new_esEs1(Neg(Succ(yuz2100)), Pos(yuz160)) -> new_esEs5
48.79/29.32	   new_esEs5 -> True
48.79/29.32	   new_esEs2(Succ(yuz23000), Succ(yuz1300000)) -> new_esEs2(yuz23000, yuz1300000)
48.79/29.32	   new_esEs2(Succ(yuz23000), Zero) -> new_esEs3
48.79/29.32	   new_esEs3 -> False
48.79/29.32	   new_esEs2(Zero, Succ(yuz1300000)) -> new_esEs5
48.79/29.32	   new_esEs2(Zero, Zero) -> new_esEs4
48.79/29.32	   new_esEs4 -> False
48.79/29.32	   new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> yuz202
48.79/29.32	   new_primMulNat2(Succ(yuz135800)) -> new_primPlusNat0(new_primMulNat3(Succ(Succ(Succ(Succ(Zero)))), yuz135800), Succ(yuz135800))
48.79/29.32	   new_primMulNat2(Zero) -> Zero
48.79/29.32	   new_primMulNat3(Succ(yuz400000), yuz60100) -> new_primPlusNat1(new_primMulNat3(yuz400000, yuz60100), yuz60100)
48.79/29.32	   new_primPlusNat0(Zero, Succ(yuz601000)) -> Succ(yuz601000)
48.79/29.32	   new_primPlusNat0(Succ(yuz15200), Succ(yuz601000)) -> Succ(Succ(new_primPlusNat0(yuz15200, yuz601000)))
48.79/29.32	   new_primPlusNat0(Succ(yuz15200), Zero) -> Succ(yuz15200)
48.79/29.32	   new_primPlusNat0(Zero, Zero) -> Zero
48.79/29.32	   new_primMulNat3(Zero, yuz60100) -> Zero
48.79/29.32	   new_primPlusNat1(Zero, yuz60100) -> Succ(yuz60100)
48.79/29.32	   new_primPlusNat1(Succ(yuz1520), yuz60100) -> Succ(Succ(new_primPlusNat0(yuz1520, yuz60100)))
48.79/29.32	
48.79/29.32	The set Q consists of the following terms:
48.79/29.32	
48.79/29.32	   new_mkVBalBranch3Size_r(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.32	   new_primPlusNat1(Succ(x0), x1)
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Zero))
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Zero))
48.79/29.32	   new_primPlusNat1(Zero, x0)
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Succ(x0)))
48.79/29.32	   new_esEs1(Pos(Succ(x0)), Pos(x1))
48.79/29.32	   new_esEs3
48.79/29.32	   new_primMulNat3(Succ(x0), x1)
48.79/29.32	   new_mkVBalBranch3Size_l(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.32	   new_primMulInt(Pos(x0))
48.79/29.32	   new_primPlusNat0(Succ(x0), Succ(x1))
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Succ(x0)))
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Succ(x0)))
48.79/29.32	   new_esEs2(Succ(x0), Zero)
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Zero))
48.79/29.32	   new_esEs5
48.79/29.32	   new_esEs2(Zero, Succ(x0))
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Zero))
48.79/29.32	   new_primMulInt(Neg(x0))
48.79/29.32	   new_primMulNat2(Succ(x0))
48.79/29.32	   new_esEs1(Neg(Succ(x0)), Neg(x1))
48.79/29.32	   new_esEs2(Zero, Zero)
48.79/29.32	   new_primPlusNat0(Succ(x0), Zero)
48.79/29.32	   new_sizeFM(x0, x1, x2, x3, x4, x5, x6)
48.79/29.32	   new_primMulNat2(Zero)
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Succ(x0)))
48.79/29.32	   new_primPlusNat0(Zero, Succ(x0))
48.79/29.32	   new_esEs2(Succ(x0), Succ(x1))
48.79/29.32	   new_esEs1(Pos(Succ(x0)), Neg(x1))
48.79/29.32	   new_esEs1(Neg(Succ(x0)), Pos(x1))
48.79/29.32	   new_esEs4
48.79/29.32	   new_primPlusNat0(Zero, Zero)
48.79/29.32	   new_primMulNat3(Zero, x0)
48.79/29.32	
48.79/29.32	We have to consider all minimal (P,Q,R)-chains.
48.79/29.32	----------------------------------------
48.79/29.32	
48.79/29.32	(100) TransformationProof (EQUIVALENT)
48.79/29.32	By rewriting [LPAR04] the rule new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba) at position [12,1] we obtained the following new rules [LPAR04]:
48.79/29.32	
48.79/29.32	   (new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), new_sizeFM(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba)), h, ba),new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), new_sizeFM(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba)), h, ba))
48.79/29.32	
48.79/29.32	
48.79/29.32	----------------------------------------
48.79/29.32	
48.79/29.32	(101)
48.79/29.32	Obligation:
48.79/29.32	Q DP problem:
48.79/29.32	The TRS P consists of the following rules:
48.79/29.32	
48.79/29.32	   new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, Branch(yuz2040, yuz2041, yuz2042, yuz2043, yuz2044), yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3(yuz21, yuz22, yuz2040, yuz2041, yuz2042, yuz2043, yuz2044, yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.32	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.32	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz142), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.32	   new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), new_sizeFM(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba)), h, ba)
48.79/29.32	
48.79/29.32	The TRS R consists of the following rules:
48.79/29.32	
48.79/29.32	   new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.32	   new_primMulInt(Pos(yuz13580)) -> Pos(new_primMulNat2(yuz13580))
48.79/29.32	   new_primMulInt(Neg(yuz13580)) -> Neg(new_primMulNat2(yuz13580))
48.79/29.32	   new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Succ(yuz1600))) -> new_esEs5
48.79/29.32	   new_esEs1(Neg(Succ(yuz2100)), Neg(yuz160)) -> new_esEs2(yuz160, Succ(yuz2100))
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Succ(yuz1600))) -> new_esEs2(Zero, Succ(yuz1600))
48.79/29.32	   new_esEs1(Pos(Succ(yuz2100)), Neg(yuz160)) -> new_esEs3
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Succ(yuz1600))) -> new_esEs3
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Succ(yuz1600))) -> new_esEs2(Succ(yuz1600), Zero)
48.79/29.32	   new_esEs1(Pos(Succ(yuz2100)), Pos(yuz160)) -> new_esEs2(Succ(yuz2100), yuz160)
48.79/29.32	   new_esEs1(Neg(Succ(yuz2100)), Pos(yuz160)) -> new_esEs5
48.79/29.32	   new_esEs5 -> True
48.79/29.32	   new_esEs2(Succ(yuz23000), Succ(yuz1300000)) -> new_esEs2(yuz23000, yuz1300000)
48.79/29.32	   new_esEs2(Succ(yuz23000), Zero) -> new_esEs3
48.79/29.32	   new_esEs3 -> False
48.79/29.32	   new_esEs2(Zero, Succ(yuz1300000)) -> new_esEs5
48.79/29.32	   new_esEs2(Zero, Zero) -> new_esEs4
48.79/29.32	   new_esEs4 -> False
48.79/29.32	   new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> yuz202
48.79/29.32	   new_primMulNat2(Succ(yuz135800)) -> new_primPlusNat0(new_primMulNat3(Succ(Succ(Succ(Succ(Zero)))), yuz135800), Succ(yuz135800))
48.79/29.32	   new_primMulNat2(Zero) -> Zero
48.79/29.32	   new_primMulNat3(Succ(yuz400000), yuz60100) -> new_primPlusNat1(new_primMulNat3(yuz400000, yuz60100), yuz60100)
48.79/29.32	   new_primPlusNat0(Zero, Succ(yuz601000)) -> Succ(yuz601000)
48.79/29.32	   new_primPlusNat0(Succ(yuz15200), Succ(yuz601000)) -> Succ(Succ(new_primPlusNat0(yuz15200, yuz601000)))
48.79/29.32	   new_primPlusNat0(Succ(yuz15200), Zero) -> Succ(yuz15200)
48.79/29.32	   new_primPlusNat0(Zero, Zero) -> Zero
48.79/29.32	   new_primMulNat3(Zero, yuz60100) -> Zero
48.79/29.32	   new_primPlusNat1(Zero, yuz60100) -> Succ(yuz60100)
48.79/29.32	   new_primPlusNat1(Succ(yuz1520), yuz60100) -> Succ(Succ(new_primPlusNat0(yuz1520, yuz60100)))
48.79/29.32	
48.79/29.32	The set Q consists of the following terms:
48.79/29.32	
48.79/29.32	   new_mkVBalBranch3Size_r(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.32	   new_primPlusNat1(Succ(x0), x1)
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Zero))
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Zero))
48.79/29.32	   new_primPlusNat1(Zero, x0)
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Succ(x0)))
48.79/29.32	   new_esEs1(Pos(Succ(x0)), Pos(x1))
48.79/29.32	   new_esEs3
48.79/29.32	   new_primMulNat3(Succ(x0), x1)
48.79/29.32	   new_mkVBalBranch3Size_l(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.32	   new_primMulInt(Pos(x0))
48.79/29.32	   new_primPlusNat0(Succ(x0), Succ(x1))
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Succ(x0)))
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Succ(x0)))
48.79/29.32	   new_esEs2(Succ(x0), Zero)
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Zero))
48.79/29.32	   new_esEs5
48.79/29.32	   new_esEs2(Zero, Succ(x0))
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Zero))
48.79/29.32	   new_primMulInt(Neg(x0))
48.79/29.32	   new_primMulNat2(Succ(x0))
48.79/29.32	   new_esEs1(Neg(Succ(x0)), Neg(x1))
48.79/29.32	   new_esEs2(Zero, Zero)
48.79/29.32	   new_primPlusNat0(Succ(x0), Zero)
48.79/29.32	   new_sizeFM(x0, x1, x2, x3, x4, x5, x6)
48.79/29.32	   new_primMulNat2(Zero)
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Succ(x0)))
48.79/29.32	   new_primPlusNat0(Zero, Succ(x0))
48.79/29.32	   new_esEs2(Succ(x0), Succ(x1))
48.79/29.32	   new_esEs1(Pos(Succ(x0)), Neg(x1))
48.79/29.32	   new_esEs1(Neg(Succ(x0)), Pos(x1))
48.79/29.32	   new_esEs4
48.79/29.32	   new_primPlusNat0(Zero, Zero)
48.79/29.32	   new_primMulNat3(Zero, x0)
48.79/29.32	
48.79/29.32	We have to consider all minimal (P,Q,R)-chains.
48.79/29.32	----------------------------------------
48.79/29.32	
48.79/29.32	(102) TransformationProof (EQUIVALENT)
48.79/29.32	By rewriting [LPAR04] the rule new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), new_mkVBalBranch3Size_r(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba) at position [12,1] we obtained the following new rules [LPAR04]:
48.79/29.32	
48.79/29.32	   (new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), new_sizeFM(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba)), h, ba),new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), new_sizeFM(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba)), h, ba))
48.79/29.32	
48.79/29.32	
48.79/29.32	----------------------------------------
48.79/29.32	
48.79/29.32	(103)
48.79/29.32	Obligation:
48.79/29.32	Q DP problem:
48.79/29.32	The TRS P consists of the following rules:
48.79/29.32	
48.79/29.32	   new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, Branch(yuz2040, yuz2041, yuz2042, yuz2043, yuz2044), yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3(yuz21, yuz22, yuz2040, yuz2041, yuz2042, yuz2043, yuz2044, yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.32	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz142), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.32	   new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), new_sizeFM(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba)), h, ba)
48.79/29.32	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), new_sizeFM(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba)), h, ba)
48.79/29.32	
48.79/29.32	The TRS R consists of the following rules:
48.79/29.32	
48.79/29.32	   new_mkVBalBranch3Size_r(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.32	   new_primMulInt(Pos(yuz13580)) -> Pos(new_primMulNat2(yuz13580))
48.79/29.32	   new_primMulInt(Neg(yuz13580)) -> Neg(new_primMulNat2(yuz13580))
48.79/29.32	   new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Succ(yuz1600))) -> new_esEs5
48.79/29.32	   new_esEs1(Neg(Succ(yuz2100)), Neg(yuz160)) -> new_esEs2(yuz160, Succ(yuz2100))
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Succ(yuz1600))) -> new_esEs2(Zero, Succ(yuz1600))
48.79/29.32	   new_esEs1(Pos(Succ(yuz2100)), Neg(yuz160)) -> new_esEs3
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Succ(yuz1600))) -> new_esEs3
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Succ(yuz1600))) -> new_esEs2(Succ(yuz1600), Zero)
48.79/29.32	   new_esEs1(Pos(Succ(yuz2100)), Pos(yuz160)) -> new_esEs2(Succ(yuz2100), yuz160)
48.79/29.32	   new_esEs1(Neg(Succ(yuz2100)), Pos(yuz160)) -> new_esEs5
48.79/29.32	   new_esEs5 -> True
48.79/29.32	   new_esEs2(Succ(yuz23000), Succ(yuz1300000)) -> new_esEs2(yuz23000, yuz1300000)
48.79/29.32	   new_esEs2(Succ(yuz23000), Zero) -> new_esEs3
48.79/29.32	   new_esEs3 -> False
48.79/29.32	   new_esEs2(Zero, Succ(yuz1300000)) -> new_esEs5
48.79/29.32	   new_esEs2(Zero, Zero) -> new_esEs4
48.79/29.32	   new_esEs4 -> False
48.79/29.32	   new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> yuz202
48.79/29.32	   new_primMulNat2(Succ(yuz135800)) -> new_primPlusNat0(new_primMulNat3(Succ(Succ(Succ(Succ(Zero)))), yuz135800), Succ(yuz135800))
48.79/29.32	   new_primMulNat2(Zero) -> Zero
48.79/29.32	   new_primMulNat3(Succ(yuz400000), yuz60100) -> new_primPlusNat1(new_primMulNat3(yuz400000, yuz60100), yuz60100)
48.79/29.32	   new_primPlusNat0(Zero, Succ(yuz601000)) -> Succ(yuz601000)
48.79/29.32	   new_primPlusNat0(Succ(yuz15200), Succ(yuz601000)) -> Succ(Succ(new_primPlusNat0(yuz15200, yuz601000)))
48.79/29.32	   new_primPlusNat0(Succ(yuz15200), Zero) -> Succ(yuz15200)
48.79/29.32	   new_primPlusNat0(Zero, Zero) -> Zero
48.79/29.32	   new_primMulNat3(Zero, yuz60100) -> Zero
48.79/29.32	   new_primPlusNat1(Zero, yuz60100) -> Succ(yuz60100)
48.79/29.32	   new_primPlusNat1(Succ(yuz1520), yuz60100) -> Succ(Succ(new_primPlusNat0(yuz1520, yuz60100)))
48.79/29.32	
48.79/29.32	The set Q consists of the following terms:
48.79/29.32	
48.79/29.32	   new_mkVBalBranch3Size_r(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.32	   new_primPlusNat1(Succ(x0), x1)
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Zero))
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Zero))
48.79/29.32	   new_primPlusNat1(Zero, x0)
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Succ(x0)))
48.79/29.32	   new_esEs1(Pos(Succ(x0)), Pos(x1))
48.79/29.32	   new_esEs3
48.79/29.32	   new_primMulNat3(Succ(x0), x1)
48.79/29.32	   new_mkVBalBranch3Size_l(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.32	   new_primMulInt(Pos(x0))
48.79/29.32	   new_primPlusNat0(Succ(x0), Succ(x1))
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Succ(x0)))
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Succ(x0)))
48.79/29.32	   new_esEs2(Succ(x0), Zero)
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Zero))
48.79/29.32	   new_esEs5
48.79/29.32	   new_esEs2(Zero, Succ(x0))
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Zero))
48.79/29.32	   new_primMulInt(Neg(x0))
48.79/29.32	   new_primMulNat2(Succ(x0))
48.79/29.32	   new_esEs1(Neg(Succ(x0)), Neg(x1))
48.79/29.32	   new_esEs2(Zero, Zero)
48.79/29.32	   new_primPlusNat0(Succ(x0), Zero)
48.79/29.32	   new_sizeFM(x0, x1, x2, x3, x4, x5, x6)
48.79/29.32	   new_primMulNat2(Zero)
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Succ(x0)))
48.79/29.32	   new_primPlusNat0(Zero, Succ(x0))
48.79/29.32	   new_esEs2(Succ(x0), Succ(x1))
48.79/29.32	   new_esEs1(Pos(Succ(x0)), Neg(x1))
48.79/29.32	   new_esEs1(Neg(Succ(x0)), Pos(x1))
48.79/29.32	   new_esEs4
48.79/29.32	   new_primPlusNat0(Zero, Zero)
48.79/29.32	   new_primMulNat3(Zero, x0)
48.79/29.32	
48.79/29.32	We have to consider all minimal (P,Q,R)-chains.
48.79/29.32	----------------------------------------
48.79/29.32	
48.79/29.32	(104) UsableRulesProof (EQUIVALENT)
48.79/29.32	As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [LPAR04] we can delete all non-usable rules [FROCOS05] from R.
48.79/29.32	----------------------------------------
48.79/29.32	
48.79/29.32	(105)
48.79/29.32	Obligation:
48.79/29.32	Q DP problem:
48.79/29.32	The TRS P consists of the following rules:
48.79/29.32	
48.79/29.32	   new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, Branch(yuz2040, yuz2041, yuz2042, yuz2043, yuz2044), yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3(yuz21, yuz22, yuz2040, yuz2041, yuz2042, yuz2043, yuz2044, yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.32	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz142), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.32	   new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), new_sizeFM(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba)), h, ba)
48.79/29.32	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), new_sizeFM(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba)), h, ba)
48.79/29.32	
48.79/29.32	The TRS R consists of the following rules:
48.79/29.32	
48.79/29.32	   new_primMulInt(Pos(yuz13580)) -> Pos(new_primMulNat2(yuz13580))
48.79/29.32	   new_primMulInt(Neg(yuz13580)) -> Neg(new_primMulNat2(yuz13580))
48.79/29.32	   new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> yuz202
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Succ(yuz1600))) -> new_esEs5
48.79/29.32	   new_esEs1(Neg(Succ(yuz2100)), Neg(yuz160)) -> new_esEs2(yuz160, Succ(yuz2100))
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Succ(yuz1600))) -> new_esEs2(Zero, Succ(yuz1600))
48.79/29.32	   new_esEs1(Pos(Succ(yuz2100)), Neg(yuz160)) -> new_esEs3
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Succ(yuz1600))) -> new_esEs3
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Succ(yuz1600))) -> new_esEs2(Succ(yuz1600), Zero)
48.79/29.32	   new_esEs1(Pos(Succ(yuz2100)), Pos(yuz160)) -> new_esEs2(Succ(yuz2100), yuz160)
48.79/29.32	   new_esEs1(Neg(Succ(yuz2100)), Pos(yuz160)) -> new_esEs5
48.79/29.32	   new_esEs5 -> True
48.79/29.32	   new_esEs2(Succ(yuz23000), Succ(yuz1300000)) -> new_esEs2(yuz23000, yuz1300000)
48.79/29.32	   new_esEs2(Succ(yuz23000), Zero) -> new_esEs3
48.79/29.32	   new_esEs3 -> False
48.79/29.32	   new_esEs2(Zero, Succ(yuz1300000)) -> new_esEs5
48.79/29.32	   new_esEs2(Zero, Zero) -> new_esEs4
48.79/29.32	   new_esEs4 -> False
48.79/29.32	   new_primMulNat2(Succ(yuz135800)) -> new_primPlusNat0(new_primMulNat3(Succ(Succ(Succ(Succ(Zero)))), yuz135800), Succ(yuz135800))
48.79/29.32	   new_primMulNat2(Zero) -> Zero
48.79/29.32	   new_primMulNat3(Succ(yuz400000), yuz60100) -> new_primPlusNat1(new_primMulNat3(yuz400000, yuz60100), yuz60100)
48.79/29.32	   new_primPlusNat0(Zero, Succ(yuz601000)) -> Succ(yuz601000)
48.79/29.32	   new_primPlusNat0(Succ(yuz15200), Succ(yuz601000)) -> Succ(Succ(new_primPlusNat0(yuz15200, yuz601000)))
48.79/29.32	   new_primPlusNat0(Succ(yuz15200), Zero) -> Succ(yuz15200)
48.79/29.32	   new_primPlusNat0(Zero, Zero) -> Zero
48.79/29.32	   new_primMulNat3(Zero, yuz60100) -> Zero
48.79/29.32	   new_primPlusNat1(Zero, yuz60100) -> Succ(yuz60100)
48.79/29.32	   new_primPlusNat1(Succ(yuz1520), yuz60100) -> Succ(Succ(new_primPlusNat0(yuz1520, yuz60100)))
48.79/29.32	   new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)
48.79/29.32	
48.79/29.32	The set Q consists of the following terms:
48.79/29.32	
48.79/29.32	   new_mkVBalBranch3Size_r(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.32	   new_primPlusNat1(Succ(x0), x1)
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Zero))
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Zero))
48.79/29.32	   new_primPlusNat1(Zero, x0)
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Succ(x0)))
48.79/29.32	   new_esEs1(Pos(Succ(x0)), Pos(x1))
48.79/29.32	   new_esEs3
48.79/29.32	   new_primMulNat3(Succ(x0), x1)
48.79/29.32	   new_mkVBalBranch3Size_l(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.32	   new_primMulInt(Pos(x0))
48.79/29.32	   new_primPlusNat0(Succ(x0), Succ(x1))
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Succ(x0)))
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Succ(x0)))
48.79/29.32	   new_esEs2(Succ(x0), Zero)
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Zero))
48.79/29.32	   new_esEs5
48.79/29.32	   new_esEs2(Zero, Succ(x0))
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Zero))
48.79/29.32	   new_primMulInt(Neg(x0))
48.79/29.32	   new_primMulNat2(Succ(x0))
48.79/29.32	   new_esEs1(Neg(Succ(x0)), Neg(x1))
48.79/29.32	   new_esEs2(Zero, Zero)
48.79/29.32	   new_primPlusNat0(Succ(x0), Zero)
48.79/29.32	   new_sizeFM(x0, x1, x2, x3, x4, x5, x6)
48.79/29.32	   new_primMulNat2(Zero)
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Succ(x0)))
48.79/29.32	   new_primPlusNat0(Zero, Succ(x0))
48.79/29.32	   new_esEs2(Succ(x0), Succ(x1))
48.79/29.32	   new_esEs1(Pos(Succ(x0)), Neg(x1))
48.79/29.32	   new_esEs1(Neg(Succ(x0)), Pos(x1))
48.79/29.32	   new_esEs4
48.79/29.32	   new_primPlusNat0(Zero, Zero)
48.79/29.32	   new_primMulNat3(Zero, x0)
48.79/29.32	
48.79/29.32	We have to consider all minimal (P,Q,R)-chains.
48.79/29.32	----------------------------------------
48.79/29.32	
48.79/29.32	(106) QReductionProof (EQUIVALENT)
48.79/29.32	We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.[THIEMANN].
48.79/29.32	
48.79/29.32	   new_mkVBalBranch3Size_r(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.32	
48.79/29.32	
48.79/29.32	----------------------------------------
48.79/29.32	
48.79/29.32	(107)
48.79/29.32	Obligation:
48.79/29.32	Q DP problem:
48.79/29.32	The TRS P consists of the following rules:
48.79/29.32	
48.79/29.32	   new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, Branch(yuz2040, yuz2041, yuz2042, yuz2043, yuz2044), yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3(yuz21, yuz22, yuz2040, yuz2041, yuz2042, yuz2043, yuz2044, yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.32	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz142), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.32	   new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), new_sizeFM(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba)), h, ba)
48.79/29.32	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), new_sizeFM(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba)), h, ba)
48.79/29.32	
48.79/29.32	The TRS R consists of the following rules:
48.79/29.32	
48.79/29.32	   new_primMulInt(Pos(yuz13580)) -> Pos(new_primMulNat2(yuz13580))
48.79/29.32	   new_primMulInt(Neg(yuz13580)) -> Neg(new_primMulNat2(yuz13580))
48.79/29.32	   new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> yuz202
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Succ(yuz1600))) -> new_esEs5
48.79/29.32	   new_esEs1(Neg(Succ(yuz2100)), Neg(yuz160)) -> new_esEs2(yuz160, Succ(yuz2100))
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Succ(yuz1600))) -> new_esEs2(Zero, Succ(yuz1600))
48.79/29.32	   new_esEs1(Pos(Succ(yuz2100)), Neg(yuz160)) -> new_esEs3
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Succ(yuz1600))) -> new_esEs3
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Succ(yuz1600))) -> new_esEs2(Succ(yuz1600), Zero)
48.79/29.32	   new_esEs1(Pos(Succ(yuz2100)), Pos(yuz160)) -> new_esEs2(Succ(yuz2100), yuz160)
48.79/29.32	   new_esEs1(Neg(Succ(yuz2100)), Pos(yuz160)) -> new_esEs5
48.79/29.32	   new_esEs5 -> True
48.79/29.32	   new_esEs2(Succ(yuz23000), Succ(yuz1300000)) -> new_esEs2(yuz23000, yuz1300000)
48.79/29.32	   new_esEs2(Succ(yuz23000), Zero) -> new_esEs3
48.79/29.32	   new_esEs3 -> False
48.79/29.32	   new_esEs2(Zero, Succ(yuz1300000)) -> new_esEs5
48.79/29.32	   new_esEs2(Zero, Zero) -> new_esEs4
48.79/29.32	   new_esEs4 -> False
48.79/29.32	   new_primMulNat2(Succ(yuz135800)) -> new_primPlusNat0(new_primMulNat3(Succ(Succ(Succ(Succ(Zero)))), yuz135800), Succ(yuz135800))
48.79/29.32	   new_primMulNat2(Zero) -> Zero
48.79/29.32	   new_primMulNat3(Succ(yuz400000), yuz60100) -> new_primPlusNat1(new_primMulNat3(yuz400000, yuz60100), yuz60100)
48.79/29.32	   new_primPlusNat0(Zero, Succ(yuz601000)) -> Succ(yuz601000)
48.79/29.32	   new_primPlusNat0(Succ(yuz15200), Succ(yuz601000)) -> Succ(Succ(new_primPlusNat0(yuz15200, yuz601000)))
48.79/29.32	   new_primPlusNat0(Succ(yuz15200), Zero) -> Succ(yuz15200)
48.79/29.32	   new_primPlusNat0(Zero, Zero) -> Zero
48.79/29.32	   new_primMulNat3(Zero, yuz60100) -> Zero
48.79/29.32	   new_primPlusNat1(Zero, yuz60100) -> Succ(yuz60100)
48.79/29.32	   new_primPlusNat1(Succ(yuz1520), yuz60100) -> Succ(Succ(new_primPlusNat0(yuz1520, yuz60100)))
48.79/29.32	   new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)
48.79/29.32	
48.79/29.32	The set Q consists of the following terms:
48.79/29.32	
48.79/29.32	   new_primPlusNat1(Succ(x0), x1)
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Zero))
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Zero))
48.79/29.32	   new_primPlusNat1(Zero, x0)
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Succ(x0)))
48.79/29.32	   new_esEs1(Pos(Succ(x0)), Pos(x1))
48.79/29.32	   new_esEs3
48.79/29.32	   new_primMulNat3(Succ(x0), x1)
48.79/29.32	   new_mkVBalBranch3Size_l(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.32	   new_primMulInt(Pos(x0))
48.79/29.32	   new_primPlusNat0(Succ(x0), Succ(x1))
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Succ(x0)))
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Succ(x0)))
48.79/29.32	   new_esEs2(Succ(x0), Zero)
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Zero))
48.79/29.32	   new_esEs5
48.79/29.32	   new_esEs2(Zero, Succ(x0))
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Zero))
48.79/29.32	   new_primMulInt(Neg(x0))
48.79/29.32	   new_primMulNat2(Succ(x0))
48.79/29.32	   new_esEs1(Neg(Succ(x0)), Neg(x1))
48.79/29.32	   new_esEs2(Zero, Zero)
48.79/29.32	   new_primPlusNat0(Succ(x0), Zero)
48.79/29.32	   new_sizeFM(x0, x1, x2, x3, x4, x5, x6)
48.79/29.32	   new_primMulNat2(Zero)
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Succ(x0)))
48.79/29.32	   new_primPlusNat0(Zero, Succ(x0))
48.79/29.32	   new_esEs2(Succ(x0), Succ(x1))
48.79/29.32	   new_esEs1(Pos(Succ(x0)), Neg(x1))
48.79/29.32	   new_esEs1(Neg(Succ(x0)), Pos(x1))
48.79/29.32	   new_esEs4
48.79/29.32	   new_primPlusNat0(Zero, Zero)
48.79/29.32	   new_primMulNat3(Zero, x0)
48.79/29.32	
48.79/29.32	We have to consider all minimal (P,Q,R)-chains.
48.79/29.32	----------------------------------------
48.79/29.32	
48.79/29.32	(108) TransformationProof (EQUIVALENT)
48.79/29.32	By rewriting [LPAR04] the rule new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz142), new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba) at position [12,1] we obtained the following new rules [LPAR04]:
48.79/29.32	
48.79/29.32	   (new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz142), new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba),new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz142), new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba))
48.79/29.32	
48.79/29.32	
48.79/29.32	----------------------------------------
48.79/29.32	
48.79/29.32	(109)
48.79/29.32	Obligation:
48.79/29.32	Q DP problem:
48.79/29.32	The TRS P consists of the following rules:
48.79/29.32	
48.79/29.32	   new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, Branch(yuz2040, yuz2041, yuz2042, yuz2043, yuz2044), yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3(yuz21, yuz22, yuz2040, yuz2041, yuz2042, yuz2043, yuz2044, yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.32	   new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), new_sizeFM(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba)), h, ba)
48.79/29.32	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), new_sizeFM(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba)), h, ba)
48.79/29.32	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz142), new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.32	
48.79/29.32	The TRS R consists of the following rules:
48.79/29.32	
48.79/29.32	   new_primMulInt(Pos(yuz13580)) -> Pos(new_primMulNat2(yuz13580))
48.79/29.32	   new_primMulInt(Neg(yuz13580)) -> Neg(new_primMulNat2(yuz13580))
48.79/29.32	   new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> yuz202
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Succ(yuz1600))) -> new_esEs5
48.79/29.32	   new_esEs1(Neg(Succ(yuz2100)), Neg(yuz160)) -> new_esEs2(yuz160, Succ(yuz2100))
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Succ(yuz1600))) -> new_esEs2(Zero, Succ(yuz1600))
48.79/29.32	   new_esEs1(Pos(Succ(yuz2100)), Neg(yuz160)) -> new_esEs3
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Succ(yuz1600))) -> new_esEs3
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Succ(yuz1600))) -> new_esEs2(Succ(yuz1600), Zero)
48.79/29.32	   new_esEs1(Pos(Succ(yuz2100)), Pos(yuz160)) -> new_esEs2(Succ(yuz2100), yuz160)
48.79/29.32	   new_esEs1(Neg(Succ(yuz2100)), Pos(yuz160)) -> new_esEs5
48.79/29.32	   new_esEs5 -> True
48.79/29.32	   new_esEs2(Succ(yuz23000), Succ(yuz1300000)) -> new_esEs2(yuz23000, yuz1300000)
48.79/29.32	   new_esEs2(Succ(yuz23000), Zero) -> new_esEs3
48.79/29.32	   new_esEs3 -> False
48.79/29.32	   new_esEs2(Zero, Succ(yuz1300000)) -> new_esEs5
48.79/29.32	   new_esEs2(Zero, Zero) -> new_esEs4
48.79/29.32	   new_esEs4 -> False
48.79/29.32	   new_primMulNat2(Succ(yuz135800)) -> new_primPlusNat0(new_primMulNat3(Succ(Succ(Succ(Succ(Zero)))), yuz135800), Succ(yuz135800))
48.79/29.32	   new_primMulNat2(Zero) -> Zero
48.79/29.32	   new_primMulNat3(Succ(yuz400000), yuz60100) -> new_primPlusNat1(new_primMulNat3(yuz400000, yuz60100), yuz60100)
48.79/29.32	   new_primPlusNat0(Zero, Succ(yuz601000)) -> Succ(yuz601000)
48.79/29.32	   new_primPlusNat0(Succ(yuz15200), Succ(yuz601000)) -> Succ(Succ(new_primPlusNat0(yuz15200, yuz601000)))
48.79/29.32	   new_primPlusNat0(Succ(yuz15200), Zero) -> Succ(yuz15200)
48.79/29.32	   new_primPlusNat0(Zero, Zero) -> Zero
48.79/29.32	   new_primMulNat3(Zero, yuz60100) -> Zero
48.79/29.32	   new_primPlusNat1(Zero, yuz60100) -> Succ(yuz60100)
48.79/29.32	   new_primPlusNat1(Succ(yuz1520), yuz60100) -> Succ(Succ(new_primPlusNat0(yuz1520, yuz60100)))
48.79/29.32	   new_mkVBalBranch3Size_l(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)
48.79/29.32	
48.79/29.32	The set Q consists of the following terms:
48.79/29.32	
48.79/29.32	   new_primPlusNat1(Succ(x0), x1)
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Zero))
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Zero))
48.79/29.32	   new_primPlusNat1(Zero, x0)
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Succ(x0)))
48.79/29.32	   new_esEs1(Pos(Succ(x0)), Pos(x1))
48.79/29.32	   new_esEs3
48.79/29.32	   new_primMulNat3(Succ(x0), x1)
48.79/29.32	   new_mkVBalBranch3Size_l(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.32	   new_primMulInt(Pos(x0))
48.79/29.32	   new_primPlusNat0(Succ(x0), Succ(x1))
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Succ(x0)))
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Succ(x0)))
48.79/29.32	   new_esEs2(Succ(x0), Zero)
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Zero))
48.79/29.32	   new_esEs5
48.79/29.32	   new_esEs2(Zero, Succ(x0))
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Zero))
48.79/29.32	   new_primMulInt(Neg(x0))
48.79/29.32	   new_primMulNat2(Succ(x0))
48.79/29.32	   new_esEs1(Neg(Succ(x0)), Neg(x1))
48.79/29.32	   new_esEs2(Zero, Zero)
48.79/29.32	   new_primPlusNat0(Succ(x0), Zero)
48.79/29.32	   new_sizeFM(x0, x1, x2, x3, x4, x5, x6)
48.79/29.32	   new_primMulNat2(Zero)
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Succ(x0)))
48.79/29.32	   new_primPlusNat0(Zero, Succ(x0))
48.79/29.32	   new_esEs2(Succ(x0), Succ(x1))
48.79/29.32	   new_esEs1(Pos(Succ(x0)), Neg(x1))
48.79/29.32	   new_esEs1(Neg(Succ(x0)), Pos(x1))
48.79/29.32	   new_esEs4
48.79/29.32	   new_primPlusNat0(Zero, Zero)
48.79/29.32	   new_primMulNat3(Zero, x0)
48.79/29.32	
48.79/29.32	We have to consider all minimal (P,Q,R)-chains.
48.79/29.32	----------------------------------------
48.79/29.32	
48.79/29.32	(110) UsableRulesProof (EQUIVALENT)
48.79/29.32	As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [LPAR04] we can delete all non-usable rules [FROCOS05] from R.
48.79/29.32	----------------------------------------
48.79/29.32	
48.79/29.32	(111)
48.79/29.32	Obligation:
48.79/29.32	Q DP problem:
48.79/29.32	The TRS P consists of the following rules:
48.79/29.32	
48.79/29.32	   new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, Branch(yuz2040, yuz2041, yuz2042, yuz2043, yuz2044), yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3(yuz21, yuz22, yuz2040, yuz2041, yuz2042, yuz2043, yuz2044, yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.32	   new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), new_sizeFM(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba)), h, ba)
48.79/29.32	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), new_sizeFM(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba)), h, ba)
48.79/29.32	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz142), new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.32	
48.79/29.32	The TRS R consists of the following rules:
48.79/29.32	
48.79/29.32	   new_primMulInt(Pos(yuz13580)) -> Pos(new_primMulNat2(yuz13580))
48.79/29.32	   new_primMulInt(Neg(yuz13580)) -> Neg(new_primMulNat2(yuz13580))
48.79/29.32	   new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> yuz202
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Succ(yuz1600))) -> new_esEs5
48.79/29.32	   new_esEs1(Neg(Succ(yuz2100)), Neg(yuz160)) -> new_esEs2(yuz160, Succ(yuz2100))
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Succ(yuz1600))) -> new_esEs2(Zero, Succ(yuz1600))
48.79/29.32	   new_esEs1(Pos(Succ(yuz2100)), Neg(yuz160)) -> new_esEs3
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Succ(yuz1600))) -> new_esEs3
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Succ(yuz1600))) -> new_esEs2(Succ(yuz1600), Zero)
48.79/29.32	   new_esEs1(Pos(Succ(yuz2100)), Pos(yuz160)) -> new_esEs2(Succ(yuz2100), yuz160)
48.79/29.32	   new_esEs1(Neg(Succ(yuz2100)), Pos(yuz160)) -> new_esEs5
48.79/29.32	   new_esEs5 -> True
48.79/29.32	   new_esEs2(Succ(yuz23000), Succ(yuz1300000)) -> new_esEs2(yuz23000, yuz1300000)
48.79/29.32	   new_esEs2(Succ(yuz23000), Zero) -> new_esEs3
48.79/29.32	   new_esEs3 -> False
48.79/29.32	   new_esEs2(Zero, Succ(yuz1300000)) -> new_esEs5
48.79/29.32	   new_esEs2(Zero, Zero) -> new_esEs4
48.79/29.32	   new_esEs4 -> False
48.79/29.32	   new_primMulNat2(Succ(yuz135800)) -> new_primPlusNat0(new_primMulNat3(Succ(Succ(Succ(Succ(Zero)))), yuz135800), Succ(yuz135800))
48.79/29.32	   new_primMulNat2(Zero) -> Zero
48.79/29.32	   new_primMulNat3(Succ(yuz400000), yuz60100) -> new_primPlusNat1(new_primMulNat3(yuz400000, yuz60100), yuz60100)
48.79/29.32	   new_primPlusNat0(Zero, Succ(yuz601000)) -> Succ(yuz601000)
48.79/29.32	   new_primPlusNat0(Succ(yuz15200), Succ(yuz601000)) -> Succ(Succ(new_primPlusNat0(yuz15200, yuz601000)))
48.79/29.32	   new_primPlusNat0(Succ(yuz15200), Zero) -> Succ(yuz15200)
48.79/29.32	   new_primPlusNat0(Zero, Zero) -> Zero
48.79/29.32	   new_primMulNat3(Zero, yuz60100) -> Zero
48.79/29.32	   new_primPlusNat1(Zero, yuz60100) -> Succ(yuz60100)
48.79/29.32	   new_primPlusNat1(Succ(yuz1520), yuz60100) -> Succ(Succ(new_primPlusNat0(yuz1520, yuz60100)))
48.79/29.32	
48.79/29.32	The set Q consists of the following terms:
48.79/29.32	
48.79/29.32	   new_primPlusNat1(Succ(x0), x1)
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Zero))
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Zero))
48.79/29.32	   new_primPlusNat1(Zero, x0)
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Succ(x0)))
48.79/29.32	   new_esEs1(Pos(Succ(x0)), Pos(x1))
48.79/29.32	   new_esEs3
48.79/29.32	   new_primMulNat3(Succ(x0), x1)
48.79/29.32	   new_mkVBalBranch3Size_l(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.32	   new_primMulInt(Pos(x0))
48.79/29.32	   new_primPlusNat0(Succ(x0), Succ(x1))
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Succ(x0)))
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Succ(x0)))
48.79/29.32	   new_esEs2(Succ(x0), Zero)
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Zero))
48.79/29.32	   new_esEs5
48.79/29.32	   new_esEs2(Zero, Succ(x0))
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Zero))
48.79/29.32	   new_primMulInt(Neg(x0))
48.79/29.32	   new_primMulNat2(Succ(x0))
48.79/29.32	   new_esEs1(Neg(Succ(x0)), Neg(x1))
48.79/29.32	   new_esEs2(Zero, Zero)
48.79/29.32	   new_primPlusNat0(Succ(x0), Zero)
48.79/29.32	   new_sizeFM(x0, x1, x2, x3, x4, x5, x6)
48.79/29.32	   new_primMulNat2(Zero)
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Succ(x0)))
48.79/29.32	   new_primPlusNat0(Zero, Succ(x0))
48.79/29.32	   new_esEs2(Succ(x0), Succ(x1))
48.79/29.32	   new_esEs1(Pos(Succ(x0)), Neg(x1))
48.79/29.32	   new_esEs1(Neg(Succ(x0)), Pos(x1))
48.79/29.32	   new_esEs4
48.79/29.32	   new_primPlusNat0(Zero, Zero)
48.79/29.32	   new_primMulNat3(Zero, x0)
48.79/29.32	
48.79/29.32	We have to consider all minimal (P,Q,R)-chains.
48.79/29.32	----------------------------------------
48.79/29.32	
48.79/29.32	(112) QReductionProof (EQUIVALENT)
48.79/29.32	We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.[THIEMANN].
48.79/29.32	
48.79/29.32	   new_mkVBalBranch3Size_l(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
48.79/29.32	
48.79/29.32	
48.79/29.32	----------------------------------------
48.79/29.32	
48.79/29.32	(113)
48.79/29.32	Obligation:
48.79/29.32	Q DP problem:
48.79/29.32	The TRS P consists of the following rules:
48.79/29.32	
48.79/29.32	   new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, Branch(yuz2040, yuz2041, yuz2042, yuz2043, yuz2044), yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3(yuz21, yuz22, yuz2040, yuz2041, yuz2042, yuz2043, yuz2044, yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.32	   new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), new_sizeFM(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba)), h, ba)
48.79/29.32	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), new_sizeFM(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba)), h, ba)
48.79/29.32	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz142), new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.32	
48.79/29.32	The TRS R consists of the following rules:
48.79/29.32	
48.79/29.32	   new_primMulInt(Pos(yuz13580)) -> Pos(new_primMulNat2(yuz13580))
48.79/29.32	   new_primMulInt(Neg(yuz13580)) -> Neg(new_primMulNat2(yuz13580))
48.79/29.32	   new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> yuz202
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Succ(yuz1600))) -> new_esEs5
48.79/29.32	   new_esEs1(Neg(Succ(yuz2100)), Neg(yuz160)) -> new_esEs2(yuz160, Succ(yuz2100))
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Succ(yuz1600))) -> new_esEs2(Zero, Succ(yuz1600))
48.79/29.32	   new_esEs1(Pos(Succ(yuz2100)), Neg(yuz160)) -> new_esEs3
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Succ(yuz1600))) -> new_esEs3
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Succ(yuz1600))) -> new_esEs2(Succ(yuz1600), Zero)
48.79/29.32	   new_esEs1(Pos(Succ(yuz2100)), Pos(yuz160)) -> new_esEs2(Succ(yuz2100), yuz160)
48.79/29.32	   new_esEs1(Neg(Succ(yuz2100)), Pos(yuz160)) -> new_esEs5
48.79/29.32	   new_esEs5 -> True
48.79/29.32	   new_esEs2(Succ(yuz23000), Succ(yuz1300000)) -> new_esEs2(yuz23000, yuz1300000)
48.79/29.32	   new_esEs2(Succ(yuz23000), Zero) -> new_esEs3
48.79/29.32	   new_esEs3 -> False
48.79/29.32	   new_esEs2(Zero, Succ(yuz1300000)) -> new_esEs5
48.79/29.32	   new_esEs2(Zero, Zero) -> new_esEs4
48.79/29.32	   new_esEs4 -> False
48.79/29.32	   new_primMulNat2(Succ(yuz135800)) -> new_primPlusNat0(new_primMulNat3(Succ(Succ(Succ(Succ(Zero)))), yuz135800), Succ(yuz135800))
48.79/29.32	   new_primMulNat2(Zero) -> Zero
48.79/29.32	   new_primMulNat3(Succ(yuz400000), yuz60100) -> new_primPlusNat1(new_primMulNat3(yuz400000, yuz60100), yuz60100)
48.79/29.32	   new_primPlusNat0(Zero, Succ(yuz601000)) -> Succ(yuz601000)
48.79/29.32	   new_primPlusNat0(Succ(yuz15200), Succ(yuz601000)) -> Succ(Succ(new_primPlusNat0(yuz15200, yuz601000)))
48.79/29.32	   new_primPlusNat0(Succ(yuz15200), Zero) -> Succ(yuz15200)
48.79/29.32	   new_primPlusNat0(Zero, Zero) -> Zero
48.79/29.32	   new_primMulNat3(Zero, yuz60100) -> Zero
48.79/29.32	   new_primPlusNat1(Zero, yuz60100) -> Succ(yuz60100)
48.79/29.32	   new_primPlusNat1(Succ(yuz1520), yuz60100) -> Succ(Succ(new_primPlusNat0(yuz1520, yuz60100)))
48.79/29.32	
48.79/29.32	The set Q consists of the following terms:
48.79/29.32	
48.79/29.32	   new_primPlusNat1(Succ(x0), x1)
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Zero))
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Zero))
48.79/29.32	   new_primPlusNat1(Zero, x0)
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Succ(x0)))
48.79/29.32	   new_esEs1(Pos(Succ(x0)), Pos(x1))
48.79/29.32	   new_esEs3
48.79/29.32	   new_primMulNat3(Succ(x0), x1)
48.79/29.32	   new_primMulInt(Pos(x0))
48.79/29.32	   new_primPlusNat0(Succ(x0), Succ(x1))
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Succ(x0)))
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Succ(x0)))
48.79/29.32	   new_esEs2(Succ(x0), Zero)
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Zero))
48.79/29.32	   new_esEs5
48.79/29.32	   new_esEs2(Zero, Succ(x0))
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Zero))
48.79/29.32	   new_primMulInt(Neg(x0))
48.79/29.32	   new_primMulNat2(Succ(x0))
48.79/29.32	   new_esEs1(Neg(Succ(x0)), Neg(x1))
48.79/29.32	   new_esEs2(Zero, Zero)
48.79/29.32	   new_primPlusNat0(Succ(x0), Zero)
48.79/29.32	   new_sizeFM(x0, x1, x2, x3, x4, x5, x6)
48.79/29.32	   new_primMulNat2(Zero)
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Succ(x0)))
48.79/29.32	   new_primPlusNat0(Zero, Succ(x0))
48.79/29.32	   new_esEs2(Succ(x0), Succ(x1))
48.79/29.32	   new_esEs1(Pos(Succ(x0)), Neg(x1))
48.79/29.32	   new_esEs1(Neg(Succ(x0)), Pos(x1))
48.79/29.32	   new_esEs4
48.79/29.32	   new_primPlusNat0(Zero, Zero)
48.79/29.32	   new_primMulNat3(Zero, x0)
48.79/29.32	
48.79/29.32	We have to consider all minimal (P,Q,R)-chains.
48.79/29.32	----------------------------------------
48.79/29.32	
48.79/29.32	(114) TransformationProof (EQUIVALENT)
48.79/29.32	By rewriting [LPAR04] the rule new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), new_sizeFM(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba)), h, ba) at position [12,1] we obtained the following new rules [LPAR04]:
48.79/29.32	
48.79/29.32	   (new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), yuz1432), h, ba),new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), yuz1432), h, ba))
48.79/29.32	
48.79/29.32	
48.79/29.32	----------------------------------------
48.79/29.32	
48.79/29.32	(115)
48.79/29.32	Obligation:
48.79/29.32	Q DP problem:
48.79/29.32	The TRS P consists of the following rules:
48.79/29.32	
48.79/29.32	   new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, Branch(yuz2040, yuz2041, yuz2042, yuz2043, yuz2044), yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3(yuz21, yuz22, yuz2040, yuz2041, yuz2042, yuz2043, yuz2044, yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.32	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), new_sizeFM(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba)), h, ba)
48.79/29.32	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz142), new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.32	   new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), yuz1432), h, ba)
48.79/29.32	
48.79/29.32	The TRS R consists of the following rules:
48.79/29.32	
48.79/29.32	   new_primMulInt(Pos(yuz13580)) -> Pos(new_primMulNat2(yuz13580))
48.79/29.32	   new_primMulInt(Neg(yuz13580)) -> Neg(new_primMulNat2(yuz13580))
48.79/29.32	   new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> yuz202
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Succ(yuz1600))) -> new_esEs5
48.79/29.32	   new_esEs1(Neg(Succ(yuz2100)), Neg(yuz160)) -> new_esEs2(yuz160, Succ(yuz2100))
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Succ(yuz1600))) -> new_esEs2(Zero, Succ(yuz1600))
48.79/29.32	   new_esEs1(Pos(Succ(yuz2100)), Neg(yuz160)) -> new_esEs3
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Succ(yuz1600))) -> new_esEs3
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Succ(yuz1600))) -> new_esEs2(Succ(yuz1600), Zero)
48.79/29.32	   new_esEs1(Pos(Succ(yuz2100)), Pos(yuz160)) -> new_esEs2(Succ(yuz2100), yuz160)
48.79/29.32	   new_esEs1(Neg(Succ(yuz2100)), Pos(yuz160)) -> new_esEs5
48.79/29.32	   new_esEs5 -> True
48.79/29.32	   new_esEs2(Succ(yuz23000), Succ(yuz1300000)) -> new_esEs2(yuz23000, yuz1300000)
48.79/29.32	   new_esEs2(Succ(yuz23000), Zero) -> new_esEs3
48.79/29.32	   new_esEs3 -> False
48.79/29.32	   new_esEs2(Zero, Succ(yuz1300000)) -> new_esEs5
48.79/29.32	   new_esEs2(Zero, Zero) -> new_esEs4
48.79/29.32	   new_esEs4 -> False
48.79/29.32	   new_primMulNat2(Succ(yuz135800)) -> new_primPlusNat0(new_primMulNat3(Succ(Succ(Succ(Succ(Zero)))), yuz135800), Succ(yuz135800))
48.79/29.32	   new_primMulNat2(Zero) -> Zero
48.79/29.32	   new_primMulNat3(Succ(yuz400000), yuz60100) -> new_primPlusNat1(new_primMulNat3(yuz400000, yuz60100), yuz60100)
48.79/29.32	   new_primPlusNat0(Zero, Succ(yuz601000)) -> Succ(yuz601000)
48.79/29.32	   new_primPlusNat0(Succ(yuz15200), Succ(yuz601000)) -> Succ(Succ(new_primPlusNat0(yuz15200, yuz601000)))
48.79/29.32	   new_primPlusNat0(Succ(yuz15200), Zero) -> Succ(yuz15200)
48.79/29.32	   new_primPlusNat0(Zero, Zero) -> Zero
48.79/29.32	   new_primMulNat3(Zero, yuz60100) -> Zero
48.79/29.32	   new_primPlusNat1(Zero, yuz60100) -> Succ(yuz60100)
48.79/29.32	   new_primPlusNat1(Succ(yuz1520), yuz60100) -> Succ(Succ(new_primPlusNat0(yuz1520, yuz60100)))
48.79/29.32	
48.79/29.32	The set Q consists of the following terms:
48.79/29.32	
48.79/29.32	   new_primPlusNat1(Succ(x0), x1)
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Zero))
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Zero))
48.79/29.32	   new_primPlusNat1(Zero, x0)
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Succ(x0)))
48.79/29.32	   new_esEs1(Pos(Succ(x0)), Pos(x1))
48.79/29.32	   new_esEs3
48.79/29.32	   new_primMulNat3(Succ(x0), x1)
48.79/29.32	   new_primMulInt(Pos(x0))
48.79/29.32	   new_primPlusNat0(Succ(x0), Succ(x1))
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Succ(x0)))
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Succ(x0)))
48.79/29.32	   new_esEs2(Succ(x0), Zero)
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Zero))
48.79/29.32	   new_esEs5
48.79/29.32	   new_esEs2(Zero, Succ(x0))
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Zero))
48.79/29.32	   new_primMulInt(Neg(x0))
48.79/29.32	   new_primMulNat2(Succ(x0))
48.79/29.32	   new_esEs1(Neg(Succ(x0)), Neg(x1))
48.79/29.32	   new_esEs2(Zero, Zero)
48.79/29.32	   new_primPlusNat0(Succ(x0), Zero)
48.79/29.32	   new_sizeFM(x0, x1, x2, x3, x4, x5, x6)
48.79/29.32	   new_primMulNat2(Zero)
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Succ(x0)))
48.79/29.32	   new_primPlusNat0(Zero, Succ(x0))
48.79/29.32	   new_esEs2(Succ(x0), Succ(x1))
48.79/29.32	   new_esEs1(Pos(Succ(x0)), Neg(x1))
48.79/29.32	   new_esEs1(Neg(Succ(x0)), Pos(x1))
48.79/29.32	   new_esEs4
48.79/29.32	   new_primPlusNat0(Zero, Zero)
48.79/29.32	   new_primMulNat3(Zero, x0)
48.79/29.32	
48.79/29.32	We have to consider all minimal (P,Q,R)-chains.
48.79/29.32	----------------------------------------
48.79/29.32	
48.79/29.32	(116) TransformationProof (EQUIVALENT)
48.79/29.32	By rewriting [LPAR04] the rule new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), new_sizeFM(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba)), h, ba) at position [12,1] we obtained the following new rules [LPAR04]:
48.79/29.32	
48.79/29.32	   (new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), yuz1432), h, ba),new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), yuz1432), h, ba))
48.79/29.32	
48.79/29.32	
48.79/29.32	----------------------------------------
48.79/29.32	
48.79/29.32	(117)
48.79/29.32	Obligation:
48.79/29.32	Q DP problem:
48.79/29.32	The TRS P consists of the following rules:
48.79/29.32	
48.79/29.32	   new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, Branch(yuz2040, yuz2041, yuz2042, yuz2043, yuz2044), yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3(yuz21, yuz22, yuz2040, yuz2041, yuz2042, yuz2043, yuz2044, yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.32	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz142), new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba)
48.79/29.32	   new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), yuz1432), h, ba)
48.79/29.32	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), yuz1432), h, ba)
48.79/29.32	
48.79/29.32	The TRS R consists of the following rules:
48.79/29.32	
48.79/29.32	   new_primMulInt(Pos(yuz13580)) -> Pos(new_primMulNat2(yuz13580))
48.79/29.32	   new_primMulInt(Neg(yuz13580)) -> Neg(new_primMulNat2(yuz13580))
48.79/29.32	   new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> yuz202
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Succ(yuz1600))) -> new_esEs5
48.79/29.32	   new_esEs1(Neg(Succ(yuz2100)), Neg(yuz160)) -> new_esEs2(yuz160, Succ(yuz2100))
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Succ(yuz1600))) -> new_esEs2(Zero, Succ(yuz1600))
48.79/29.32	   new_esEs1(Pos(Succ(yuz2100)), Neg(yuz160)) -> new_esEs3
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Succ(yuz1600))) -> new_esEs3
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Succ(yuz1600))) -> new_esEs2(Succ(yuz1600), Zero)
48.79/29.32	   new_esEs1(Pos(Succ(yuz2100)), Pos(yuz160)) -> new_esEs2(Succ(yuz2100), yuz160)
48.79/29.32	   new_esEs1(Neg(Succ(yuz2100)), Pos(yuz160)) -> new_esEs5
48.79/29.32	   new_esEs5 -> True
48.79/29.32	   new_esEs2(Succ(yuz23000), Succ(yuz1300000)) -> new_esEs2(yuz23000, yuz1300000)
48.79/29.32	   new_esEs2(Succ(yuz23000), Zero) -> new_esEs3
48.79/29.32	   new_esEs3 -> False
48.79/29.32	   new_esEs2(Zero, Succ(yuz1300000)) -> new_esEs5
48.79/29.32	   new_esEs2(Zero, Zero) -> new_esEs4
48.79/29.32	   new_esEs4 -> False
48.79/29.32	   new_primMulNat2(Succ(yuz135800)) -> new_primPlusNat0(new_primMulNat3(Succ(Succ(Succ(Succ(Zero)))), yuz135800), Succ(yuz135800))
48.79/29.32	   new_primMulNat2(Zero) -> Zero
48.79/29.32	   new_primMulNat3(Succ(yuz400000), yuz60100) -> new_primPlusNat1(new_primMulNat3(yuz400000, yuz60100), yuz60100)
48.79/29.32	   new_primPlusNat0(Zero, Succ(yuz601000)) -> Succ(yuz601000)
48.79/29.32	   new_primPlusNat0(Succ(yuz15200), Succ(yuz601000)) -> Succ(Succ(new_primPlusNat0(yuz15200, yuz601000)))
48.79/29.32	   new_primPlusNat0(Succ(yuz15200), Zero) -> Succ(yuz15200)
48.79/29.32	   new_primPlusNat0(Zero, Zero) -> Zero
48.79/29.32	   new_primMulNat3(Zero, yuz60100) -> Zero
48.79/29.32	   new_primPlusNat1(Zero, yuz60100) -> Succ(yuz60100)
48.79/29.32	   new_primPlusNat1(Succ(yuz1520), yuz60100) -> Succ(Succ(new_primPlusNat0(yuz1520, yuz60100)))
48.79/29.32	
48.79/29.32	The set Q consists of the following terms:
48.79/29.32	
48.79/29.32	   new_primPlusNat1(Succ(x0), x1)
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Zero))
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Zero))
48.79/29.32	   new_primPlusNat1(Zero, x0)
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Succ(x0)))
48.79/29.32	   new_esEs1(Pos(Succ(x0)), Pos(x1))
48.79/29.32	   new_esEs3
48.79/29.32	   new_primMulNat3(Succ(x0), x1)
48.79/29.32	   new_primMulInt(Pos(x0))
48.79/29.32	   new_primPlusNat0(Succ(x0), Succ(x1))
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Succ(x0)))
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Succ(x0)))
48.79/29.32	   new_esEs2(Succ(x0), Zero)
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Zero))
48.79/29.32	   new_esEs5
48.79/29.32	   new_esEs2(Zero, Succ(x0))
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Zero))
48.79/29.32	   new_primMulInt(Neg(x0))
48.79/29.32	   new_primMulNat2(Succ(x0))
48.79/29.32	   new_esEs1(Neg(Succ(x0)), Neg(x1))
48.79/29.32	   new_esEs2(Zero, Zero)
48.79/29.32	   new_primPlusNat0(Succ(x0), Zero)
48.79/29.32	   new_sizeFM(x0, x1, x2, x3, x4, x5, x6)
48.79/29.32	   new_primMulNat2(Zero)
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Succ(x0)))
48.79/29.32	   new_primPlusNat0(Zero, Succ(x0))
48.79/29.32	   new_esEs2(Succ(x0), Succ(x1))
48.79/29.32	   new_esEs1(Pos(Succ(x0)), Neg(x1))
48.79/29.32	   new_esEs1(Neg(Succ(x0)), Pos(x1))
48.79/29.32	   new_esEs4
48.79/29.32	   new_primPlusNat0(Zero, Zero)
48.79/29.32	   new_primMulNat3(Zero, x0)
48.79/29.32	
48.79/29.32	We have to consider all minimal (P,Q,R)-chains.
48.79/29.32	----------------------------------------
48.79/29.32	
48.79/29.32	(118) TransformationProof (EQUIVALENT)
48.79/29.32	By rewriting [LPAR04] the rule new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz142), new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba)), h, ba) at position [12,1] we obtained the following new rules [LPAR04]:
48.79/29.32	
48.79/29.32	   (new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz142), yuz202), h, ba),new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz142), yuz202), h, ba))
48.79/29.32	
48.79/29.32	
48.79/29.32	----------------------------------------
48.79/29.32	
48.79/29.32	(119)
48.79/29.32	Obligation:
48.79/29.32	Q DP problem:
48.79/29.32	The TRS P consists of the following rules:
48.79/29.32	
48.79/29.32	   new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, Branch(yuz2040, yuz2041, yuz2042, yuz2043, yuz2044), yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3(yuz21, yuz22, yuz2040, yuz2041, yuz2042, yuz2043, yuz2044, yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.32	   new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), yuz1432), h, ba)
48.79/29.32	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), yuz1432), h, ba)
48.79/29.32	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz142), yuz202), h, ba)
48.79/29.32	
48.79/29.32	The TRS R consists of the following rules:
48.79/29.32	
48.79/29.32	   new_primMulInt(Pos(yuz13580)) -> Pos(new_primMulNat2(yuz13580))
48.79/29.32	   new_primMulInt(Neg(yuz13580)) -> Neg(new_primMulNat2(yuz13580))
48.79/29.32	   new_sizeFM(yuz200, yuz201, yuz202, yuz203, yuz204, h, ba) -> yuz202
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Succ(yuz1600))) -> new_esEs5
48.79/29.32	   new_esEs1(Neg(Succ(yuz2100)), Neg(yuz160)) -> new_esEs2(yuz160, Succ(yuz2100))
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Succ(yuz1600))) -> new_esEs2(Zero, Succ(yuz1600))
48.79/29.32	   new_esEs1(Pos(Succ(yuz2100)), Neg(yuz160)) -> new_esEs3
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Succ(yuz1600))) -> new_esEs3
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Succ(yuz1600))) -> new_esEs2(Succ(yuz1600), Zero)
48.79/29.32	   new_esEs1(Pos(Succ(yuz2100)), Pos(yuz160)) -> new_esEs2(Succ(yuz2100), yuz160)
48.79/29.32	   new_esEs1(Neg(Succ(yuz2100)), Pos(yuz160)) -> new_esEs5
48.79/29.32	   new_esEs5 -> True
48.79/29.32	   new_esEs2(Succ(yuz23000), Succ(yuz1300000)) -> new_esEs2(yuz23000, yuz1300000)
48.79/29.32	   new_esEs2(Succ(yuz23000), Zero) -> new_esEs3
48.79/29.32	   new_esEs3 -> False
48.79/29.32	   new_esEs2(Zero, Succ(yuz1300000)) -> new_esEs5
48.79/29.32	   new_esEs2(Zero, Zero) -> new_esEs4
48.79/29.32	   new_esEs4 -> False
48.79/29.32	   new_primMulNat2(Succ(yuz135800)) -> new_primPlusNat0(new_primMulNat3(Succ(Succ(Succ(Succ(Zero)))), yuz135800), Succ(yuz135800))
48.79/29.32	   new_primMulNat2(Zero) -> Zero
48.79/29.32	   new_primMulNat3(Succ(yuz400000), yuz60100) -> new_primPlusNat1(new_primMulNat3(yuz400000, yuz60100), yuz60100)
48.79/29.32	   new_primPlusNat0(Zero, Succ(yuz601000)) -> Succ(yuz601000)
48.79/29.32	   new_primPlusNat0(Succ(yuz15200), Succ(yuz601000)) -> Succ(Succ(new_primPlusNat0(yuz15200, yuz601000)))
48.79/29.32	   new_primPlusNat0(Succ(yuz15200), Zero) -> Succ(yuz15200)
48.79/29.32	   new_primPlusNat0(Zero, Zero) -> Zero
48.79/29.32	   new_primMulNat3(Zero, yuz60100) -> Zero
48.79/29.32	   new_primPlusNat1(Zero, yuz60100) -> Succ(yuz60100)
48.79/29.32	   new_primPlusNat1(Succ(yuz1520), yuz60100) -> Succ(Succ(new_primPlusNat0(yuz1520, yuz60100)))
48.79/29.32	
48.79/29.32	The set Q consists of the following terms:
48.79/29.32	
48.79/29.32	   new_primPlusNat1(Succ(x0), x1)
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Zero))
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Zero))
48.79/29.32	   new_primPlusNat1(Zero, x0)
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Succ(x0)))
48.79/29.32	   new_esEs1(Pos(Succ(x0)), Pos(x1))
48.79/29.32	   new_esEs3
48.79/29.32	   new_primMulNat3(Succ(x0), x1)
48.79/29.32	   new_primMulInt(Pos(x0))
48.79/29.32	   new_primPlusNat0(Succ(x0), Succ(x1))
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Succ(x0)))
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Succ(x0)))
48.79/29.32	   new_esEs2(Succ(x0), Zero)
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Zero))
48.79/29.32	   new_esEs5
48.79/29.32	   new_esEs2(Zero, Succ(x0))
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Zero))
48.79/29.32	   new_primMulInt(Neg(x0))
48.79/29.32	   new_primMulNat2(Succ(x0))
48.79/29.32	   new_esEs1(Neg(Succ(x0)), Neg(x1))
48.79/29.32	   new_esEs2(Zero, Zero)
48.79/29.32	   new_primPlusNat0(Succ(x0), Zero)
48.79/29.32	   new_sizeFM(x0, x1, x2, x3, x4, x5, x6)
48.79/29.32	   new_primMulNat2(Zero)
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Succ(x0)))
48.79/29.32	   new_primPlusNat0(Zero, Succ(x0))
48.79/29.32	   new_esEs2(Succ(x0), Succ(x1))
48.79/29.32	   new_esEs1(Pos(Succ(x0)), Neg(x1))
48.79/29.32	   new_esEs1(Neg(Succ(x0)), Pos(x1))
48.79/29.32	   new_esEs4
48.79/29.32	   new_primPlusNat0(Zero, Zero)
48.79/29.32	   new_primMulNat3(Zero, x0)
48.79/29.32	
48.79/29.32	We have to consider all minimal (P,Q,R)-chains.
48.79/29.32	----------------------------------------
48.79/29.32	
48.79/29.32	(120) UsableRulesProof (EQUIVALENT)
48.79/29.32	As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [LPAR04] we can delete all non-usable rules [FROCOS05] from R.
48.79/29.32	----------------------------------------
48.79/29.32	
48.79/29.32	(121)
48.79/29.32	Obligation:
48.79/29.32	Q DP problem:
48.79/29.32	The TRS P consists of the following rules:
48.79/29.32	
48.79/29.32	   new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, Branch(yuz2040, yuz2041, yuz2042, yuz2043, yuz2044), yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3(yuz21, yuz22, yuz2040, yuz2041, yuz2042, yuz2043, yuz2044, yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.32	   new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), yuz1432), h, ba)
48.79/29.32	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), yuz1432), h, ba)
48.79/29.32	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz142), yuz202), h, ba)
48.79/29.32	
48.79/29.32	The TRS R consists of the following rules:
48.79/29.32	
48.79/29.32	   new_primMulInt(Pos(yuz13580)) -> Pos(new_primMulNat2(yuz13580))
48.79/29.32	   new_primMulInt(Neg(yuz13580)) -> Neg(new_primMulNat2(yuz13580))
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Succ(yuz1600))) -> new_esEs5
48.79/29.32	   new_esEs1(Neg(Succ(yuz2100)), Neg(yuz160)) -> new_esEs2(yuz160, Succ(yuz2100))
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Succ(yuz1600))) -> new_esEs2(Zero, Succ(yuz1600))
48.79/29.32	   new_esEs1(Pos(Succ(yuz2100)), Neg(yuz160)) -> new_esEs3
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Succ(yuz1600))) -> new_esEs3
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Succ(yuz1600))) -> new_esEs2(Succ(yuz1600), Zero)
48.79/29.32	   new_esEs1(Pos(Succ(yuz2100)), Pos(yuz160)) -> new_esEs2(Succ(yuz2100), yuz160)
48.79/29.32	   new_esEs1(Neg(Succ(yuz2100)), Pos(yuz160)) -> new_esEs5
48.79/29.32	   new_esEs5 -> True
48.79/29.32	   new_esEs2(Succ(yuz23000), Succ(yuz1300000)) -> new_esEs2(yuz23000, yuz1300000)
48.79/29.32	   new_esEs2(Succ(yuz23000), Zero) -> new_esEs3
48.79/29.32	   new_esEs3 -> False
48.79/29.32	   new_esEs2(Zero, Succ(yuz1300000)) -> new_esEs5
48.79/29.32	   new_esEs2(Zero, Zero) -> new_esEs4
48.79/29.32	   new_esEs4 -> False
48.79/29.32	   new_primMulNat2(Succ(yuz135800)) -> new_primPlusNat0(new_primMulNat3(Succ(Succ(Succ(Succ(Zero)))), yuz135800), Succ(yuz135800))
48.79/29.32	   new_primMulNat2(Zero) -> Zero
48.79/29.32	   new_primMulNat3(Succ(yuz400000), yuz60100) -> new_primPlusNat1(new_primMulNat3(yuz400000, yuz60100), yuz60100)
48.79/29.32	   new_primPlusNat0(Zero, Succ(yuz601000)) -> Succ(yuz601000)
48.79/29.32	   new_primPlusNat0(Succ(yuz15200), Succ(yuz601000)) -> Succ(Succ(new_primPlusNat0(yuz15200, yuz601000)))
48.79/29.32	   new_primPlusNat0(Succ(yuz15200), Zero) -> Succ(yuz15200)
48.79/29.32	   new_primPlusNat0(Zero, Zero) -> Zero
48.79/29.32	   new_primMulNat3(Zero, yuz60100) -> Zero
48.79/29.32	   new_primPlusNat1(Zero, yuz60100) -> Succ(yuz60100)
48.79/29.32	   new_primPlusNat1(Succ(yuz1520), yuz60100) -> Succ(Succ(new_primPlusNat0(yuz1520, yuz60100)))
48.79/29.32	
48.79/29.32	The set Q consists of the following terms:
48.79/29.32	
48.79/29.32	   new_primPlusNat1(Succ(x0), x1)
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Zero))
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Zero))
48.79/29.32	   new_primPlusNat1(Zero, x0)
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Succ(x0)))
48.79/29.32	   new_esEs1(Pos(Succ(x0)), Pos(x1))
48.79/29.32	   new_esEs3
48.79/29.32	   new_primMulNat3(Succ(x0), x1)
48.79/29.32	   new_primMulInt(Pos(x0))
48.79/29.32	   new_primPlusNat0(Succ(x0), Succ(x1))
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Succ(x0)))
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Succ(x0)))
48.79/29.32	   new_esEs2(Succ(x0), Zero)
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Zero))
48.79/29.32	   new_esEs5
48.79/29.32	   new_esEs2(Zero, Succ(x0))
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Zero))
48.79/29.32	   new_primMulInt(Neg(x0))
48.79/29.32	   new_primMulNat2(Succ(x0))
48.79/29.32	   new_esEs1(Neg(Succ(x0)), Neg(x1))
48.79/29.32	   new_esEs2(Zero, Zero)
48.79/29.32	   new_primPlusNat0(Succ(x0), Zero)
48.79/29.32	   new_sizeFM(x0, x1, x2, x3, x4, x5, x6)
48.79/29.32	   new_primMulNat2(Zero)
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Succ(x0)))
48.79/29.32	   new_primPlusNat0(Zero, Succ(x0))
48.79/29.32	   new_esEs2(Succ(x0), Succ(x1))
48.79/29.32	   new_esEs1(Pos(Succ(x0)), Neg(x1))
48.79/29.32	   new_esEs1(Neg(Succ(x0)), Pos(x1))
48.79/29.32	   new_esEs4
48.79/29.32	   new_primPlusNat0(Zero, Zero)
48.79/29.32	   new_primMulNat3(Zero, x0)
48.79/29.32	
48.79/29.32	We have to consider all minimal (P,Q,R)-chains.
48.79/29.32	----------------------------------------
48.79/29.32	
48.79/29.32	(122) QReductionProof (EQUIVALENT)
48.79/29.32	We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.[THIEMANN].
48.79/29.32	
48.79/29.32	   new_sizeFM(x0, x1, x2, x3, x4, x5, x6)
48.79/29.32	
48.79/29.32	
48.79/29.32	----------------------------------------
48.79/29.32	
48.79/29.32	(123)
48.79/29.32	Obligation:
48.79/29.32	Q DP problem:
48.79/29.32	The TRS P consists of the following rules:
48.79/29.32	
48.79/29.32	   new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, Branch(yuz2040, yuz2041, yuz2042, yuz2043, yuz2044), yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3(yuz21, yuz22, yuz2040, yuz2041, yuz2042, yuz2043, yuz2044, yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.32	   new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), yuz1432), h, ba)
48.79/29.32	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), yuz1432), h, ba)
48.79/29.32	   new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz142), yuz202), h, ba)
48.79/29.32	
48.79/29.32	The TRS R consists of the following rules:
48.79/29.32	
48.79/29.32	   new_primMulInt(Pos(yuz13580)) -> Pos(new_primMulNat2(yuz13580))
48.79/29.32	   new_primMulInt(Neg(yuz13580)) -> Neg(new_primMulNat2(yuz13580))
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Succ(yuz1600))) -> new_esEs5
48.79/29.32	   new_esEs1(Neg(Succ(yuz2100)), Neg(yuz160)) -> new_esEs2(yuz160, Succ(yuz2100))
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Zero)) -> new_esEs4
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Succ(yuz1600))) -> new_esEs2(Zero, Succ(yuz1600))
48.79/29.32	   new_esEs1(Pos(Succ(yuz2100)), Neg(yuz160)) -> new_esEs3
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Succ(yuz1600))) -> new_esEs3
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Succ(yuz1600))) -> new_esEs2(Succ(yuz1600), Zero)
48.79/29.32	   new_esEs1(Pos(Succ(yuz2100)), Pos(yuz160)) -> new_esEs2(Succ(yuz2100), yuz160)
48.79/29.32	   new_esEs1(Neg(Succ(yuz2100)), Pos(yuz160)) -> new_esEs5
48.79/29.32	   new_esEs5 -> True
48.79/29.32	   new_esEs2(Succ(yuz23000), Succ(yuz1300000)) -> new_esEs2(yuz23000, yuz1300000)
48.79/29.32	   new_esEs2(Succ(yuz23000), Zero) -> new_esEs3
48.79/29.32	   new_esEs3 -> False
48.79/29.32	   new_esEs2(Zero, Succ(yuz1300000)) -> new_esEs5
48.79/29.32	   new_esEs2(Zero, Zero) -> new_esEs4
48.79/29.32	   new_esEs4 -> False
48.79/29.32	   new_primMulNat2(Succ(yuz135800)) -> new_primPlusNat0(new_primMulNat3(Succ(Succ(Succ(Succ(Zero)))), yuz135800), Succ(yuz135800))
48.79/29.32	   new_primMulNat2(Zero) -> Zero
48.79/29.32	   new_primMulNat3(Succ(yuz400000), yuz60100) -> new_primPlusNat1(new_primMulNat3(yuz400000, yuz60100), yuz60100)
48.79/29.32	   new_primPlusNat0(Zero, Succ(yuz601000)) -> Succ(yuz601000)
48.79/29.32	   new_primPlusNat0(Succ(yuz15200), Succ(yuz601000)) -> Succ(Succ(new_primPlusNat0(yuz15200, yuz601000)))
48.79/29.32	   new_primPlusNat0(Succ(yuz15200), Zero) -> Succ(yuz15200)
48.79/29.32	   new_primPlusNat0(Zero, Zero) -> Zero
48.79/29.32	   new_primMulNat3(Zero, yuz60100) -> Zero
48.79/29.32	   new_primPlusNat1(Zero, yuz60100) -> Succ(yuz60100)
48.79/29.32	   new_primPlusNat1(Succ(yuz1520), yuz60100) -> Succ(Succ(new_primPlusNat0(yuz1520, yuz60100)))
48.79/29.32	
48.79/29.32	The set Q consists of the following terms:
48.79/29.32	
48.79/29.32	   new_primPlusNat1(Succ(x0), x1)
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Zero))
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Zero))
48.79/29.32	   new_primPlusNat1(Zero, x0)
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Succ(x0)))
48.79/29.32	   new_esEs1(Pos(Succ(x0)), Pos(x1))
48.79/29.32	   new_esEs3
48.79/29.32	   new_primMulNat3(Succ(x0), x1)
48.79/29.32	   new_primMulInt(Pos(x0))
48.79/29.32	   new_primPlusNat0(Succ(x0), Succ(x1))
48.79/29.32	   new_esEs1(Neg(Zero), Pos(Succ(x0)))
48.79/29.32	   new_esEs1(Pos(Zero), Neg(Succ(x0)))
48.79/29.32	   new_esEs2(Succ(x0), Zero)
48.79/29.32	   new_esEs1(Neg(Zero), Neg(Zero))
48.79/29.32	   new_esEs5
48.79/29.32	   new_esEs2(Zero, Succ(x0))
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Zero))
48.79/29.32	   new_primMulInt(Neg(x0))
48.79/29.32	   new_primMulNat2(Succ(x0))
48.79/29.32	   new_esEs1(Neg(Succ(x0)), Neg(x1))
48.79/29.32	   new_esEs2(Zero, Zero)
48.79/29.32	   new_primPlusNat0(Succ(x0), Zero)
48.79/29.32	   new_primMulNat2(Zero)
48.79/29.32	   new_esEs1(Pos(Zero), Pos(Succ(x0)))
48.79/29.32	   new_primPlusNat0(Zero, Succ(x0))
48.79/29.32	   new_esEs2(Succ(x0), Succ(x1))
48.79/29.32	   new_esEs1(Pos(Succ(x0)), Neg(x1))
48.79/29.32	   new_esEs1(Neg(Succ(x0)), Pos(x1))
48.79/29.32	   new_esEs4
48.79/29.32	   new_primPlusNat0(Zero, Zero)
48.79/29.32	   new_primMulNat3(Zero, x0)
48.79/29.32	
48.79/29.32	We have to consider all minimal (P,Q,R)-chains.
48.79/29.32	----------------------------------------
48.79/29.32	
48.79/29.32	(124) QDPSizeChangeProof (EQUIVALENT)
48.79/29.32	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. 
48.79/29.32	
48.79/29.32	From the DPs we obtained the following set of size-change graphs:
48.79/29.32	*new_mkVBalBranch3(yuz21, yuz22, yuz200, yuz201, yuz202, yuz203, yuz204, yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), yuz1432), h, ba)
48.79/29.32	The graph contains the following edges 8 >= 1, 9 >= 2, 10 >= 3, 11 >= 4, 12 >= 5, 3 >= 6, 4 >= 7, 5 >= 8, 6 >= 9, 7 >= 10, 1 >= 11, 2 >= 12, 13 >= 14, 14 >= 15
48.79/29.32	
48.79/29.32	
48.79/29.32	*new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz142), yuz202), h, ba)
48.79/29.32	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, 11 >= 11, 12 >= 12, 14 >= 14, 15 >= 15
48.79/29.32	
48.79/29.32	
48.79/29.32	*new_mkVBalBranch3MkVBalBranch2(yuz140, yuz141, yuz142, Branch(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434), yuz144, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1430, yuz1431, yuz1432, yuz1433, yuz1434, yuz200, yuz201, yuz202, yuz203, yuz204, yuz21, yuz22, new_esEs1(new_primMulInt(yuz202), yuz1432), h, ba)
48.79/29.32	The graph contains the following edges 4 > 1, 4 > 2, 4 > 3, 4 > 4, 4 > 5, 6 >= 6, 7 >= 7, 8 >= 8, 9 >= 9, 10 >= 10, 11 >= 11, 12 >= 12, 14 >= 14, 15 >= 15
48.79/29.32	
48.79/29.32	
48.79/29.32	*new_mkVBalBranch3MkVBalBranch1(yuz140, yuz141, yuz142, yuz143, yuz144, yuz200, yuz201, yuz202, yuz203, Branch(yuz2040, yuz2041, yuz2042, yuz2043, yuz2044), yuz21, yuz22, True, h, ba) -> new_mkVBalBranch3(yuz21, yuz22, yuz2040, yuz2041, yuz2042, yuz2043, yuz2044, yuz140, yuz141, yuz142, yuz143, yuz144, h, ba)
48.79/29.32	The graph contains the following edges 11 >= 1, 12 >= 2, 10 > 3, 10 > 4, 10 > 5, 10 > 6, 10 > 7, 1 >= 8, 2 >= 9, 3 >= 10, 4 >= 11, 5 >= 12, 14 >= 13, 15 >= 14
48.79/29.32	
48.79/29.32	
48.79/29.32	----------------------------------------
48.79/29.32	
48.79/29.32	(125)
48.79/29.32	YES
48.79/29.32	
48.79/29.32	----------------------------------------
48.79/29.32	
48.79/29.32	(126)
48.79/29.32	Obligation:
48.79/29.32	Q DP problem:
48.79/29.32	The TRS P consists of the following rules:
48.79/29.32	
48.79/29.32	   new_esEs(Succ(yuz1373000), Succ(yuz1368000)) -> new_esEs(yuz1373000, yuz1368000)
48.79/29.32	
48.79/29.32	R is empty.
48.79/29.32	Q is empty.
48.79/29.32	We have to consider all minimal (P,Q,R)-chains.
48.79/29.32	----------------------------------------
48.79/29.32	
48.79/29.32	(127) QDPSizeChangeProof (EQUIVALENT)
48.79/29.32	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. 
48.79/29.32	
48.79/29.32	From the DPs we obtained the following set of size-change graphs:
48.79/29.32	*new_esEs(Succ(yuz1373000), Succ(yuz1368000)) -> new_esEs(yuz1373000, yuz1368000)
48.79/29.32	The graph contains the following edges 1 > 1, 2 > 2
48.79/29.32	
48.79/29.32	
48.79/29.32	----------------------------------------
48.79/29.32	
48.79/29.32	(128)
48.79/29.32	YES
48.99/29.37	EOF