MAYBE

Initial complexity problem:
1:	T:
		(1, 1)    f0(a, b, c, d, e) -> f3(0, 0, c, d, e)
		(?, 1)    f3(a, b, c, d, e) -> f3(a, b, c - 1, f, e) [ c >= 1 /\ f >= 1 ]
		(?, 1)    f3(a, b, c, d, e) -> f3(a, b, c - 2, f, e) [ c >= 1 /\ 0 >= f ]
		(?, 1)    f3(a, b, c, d, e) -> f6(a, b, c, d, f) [ 0 >= c ]
		(?, 1)    f6(a, b, c, d, e) -> f6(1, b, c, d, f) [ e >= 1 ]
		(?, 1)    f6(a, b, c, d, e) -> f6(0, b, c, d, f) [ 0 >= e ]
	start location:	f0
	leaf cost:	0

A polynomial rank function with
	Pol(f0) = 1
	Pol(f3) = 1
	Pol(f6) = -1
orients all transitions weakly and the transition
	f3(a, b, c, d, e) -> f6(a, b, c, d, f) [ 0 >= c ]
strictly and produces the following problem:
2:	T:
		(1, 1)    f0(a, b, c, d, e) -> f3(0, 0, c, d, e)
		(?, 1)    f3(a, b, c, d, e) -> f3(a, b, c - 1, f, e) [ c >= 1 /\ f >= 1 ]
		(?, 1)    f3(a, b, c, d, e) -> f3(a, b, c - 2, f, e) [ c >= 1 /\ 0 >= f ]
		(1, 1)    f3(a, b, c, d, e) -> f6(a, b, c, d, f) [ 0 >= c ]
		(?, 1)    f6(a, b, c, d, e) -> f6(1, b, c, d, f) [ e >= 1 ]
		(?, 1)    f6(a, b, c, d, e) -> f6(0, b, c, d, f) [ 0 >= e ]
	start location:	f0
	leaf cost:	0

A polynomial rank function with
	Pol(f0) = V_3
	Pol(f3) = V_3
	Pol(f6) = V_3
orients all transitions weakly and the transitions
	f3(a, b, c, d, e) -> f3(a, b, c - 1, f, e) [ c >= 1 /\ f >= 1 ]
	f3(a, b, c, d, e) -> f3(a, b, c - 2, f, e) [ c >= 1 /\ 0 >= f ]
strictly and produces the following problem:
3:	T:
		(1, 1)    f0(a, b, c, d, e) -> f3(0, 0, c, d, e)
		(c, 1)    f3(a, b, c, d, e) -> f3(a, b, c - 1, f, e) [ c >= 1 /\ f >= 1 ]
		(c, 1)    f3(a, b, c, d, e) -> f3(a, b, c - 2, f, e) [ c >= 1 /\ 0 >= f ]
		(1, 1)    f3(a, b, c, d, e) -> f6(a, b, c, d, f) [ 0 >= c ]
		(?, 1)    f6(a, b, c, d, e) -> f6(1, b, c, d, f) [ e >= 1 ]
		(?, 1)    f6(a, b, c, d, e) -> f6(0, b, c, d, f) [ 0 >= e ]
	start location:	f0
	leaf cost:	0

Applied AI with 'oct' on problem 3 to obtain the following invariants:
  For symbol f3: -X_2 >= 0 /\ X_1 - X_2 >= 0 /\ -X_1 - X_2 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ -X_1 + X_2 >= 0 /\ -X_1 >= 0 /\ X_1 >= 0
  For symbol f6: -X_3 >= 0 /\ X_2 - X_3 >= 0 /\ -X_2 - X_3 >= 0 /\ X_1 - X_3 >= 0 /\ -X_2 >= 0 /\ X_1 - X_2 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ X_1 >= 0


This yielded the following problem:
4:	T:
		(?, 1)    f6(a, b, c, d, e) -> f6(0, b, c, d, f) [ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ -b >= 0 /\ a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= e ]
		(?, 1)    f6(a, b, c, d, e) -> f6(1, b, c, d, f) [ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ -b >= 0 /\ a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ e >= 1 ]
		(1, 1)    f3(a, b, c, d, e) -> f6(a, b, c, d, f) [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c ]
		(c, 1)    f3(a, b, c, d, e) -> f3(a, b, c - 2, f, e) [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ c >= 1 /\ 0 >= f ]
		(c, 1)    f3(a, b, c, d, e) -> f3(a, b, c - 1, f, e) [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ c >= 1 /\ f >= 1 ]
		(1, 1)    f0(a, b, c, d, e) -> f3(0, 0, c, d, e)
	start location:	f0
	leaf cost:	0

By chaining the transition f3(a, b, c, d, e) -> f6(a, b, c, d, f) [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c ] with all transitions in problem 4, the following new transitions are obtained:
	f3(a, b, c, d, e) -> f6(1, b, c, d, f') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 ]
	f3(a, b, c, d, e) -> f6(0, b, c, d, f') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ 0 >= f ]
We thus obtain the following problem:
5:	T:
		(1, 2)    f3(a, b, c, d, e) -> f6(1, b, c, d, f') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 ]
		(1, 2)    f3(a, b, c, d, e) -> f6(0, b, c, d, f') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ 0 >= f ]
		(?, 1)    f6(a, b, c, d, e) -> f6(0, b, c, d, f) [ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ -b >= 0 /\ a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= e ]
		(?, 1)    f6(a, b, c, d, e) -> f6(1, b, c, d, f) [ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ -b >= 0 /\ a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ e >= 1 ]
		(c, 1)    f3(a, b, c, d, e) -> f3(a, b, c - 2, f, e) [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ c >= 1 /\ 0 >= f ]
		(c, 1)    f3(a, b, c, d, e) -> f3(a, b, c - 1, f, e) [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ c >= 1 /\ f >= 1 ]
		(1, 1)    f0(a, b, c, d, e) -> f3(0, 0, c, d, e)
	start location:	f0
	leaf cost:	0

By chaining the transition f3(a, b, c, d, e) -> f6(1, b, c, d, f') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 ] with all transitions in problem 5, the following new transitions are obtained:
	f3(a, b, c, d, e) -> f6(1, b, c, d, f'') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 ]
	f3(a, b, c, d, e) -> f6(0, b, c, d, f'') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ 0 >= f' ]
We thus obtain the following problem:
6:	T:
		(1, 3)    f3(a, b, c, d, e) -> f6(1, b, c, d, f'') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 ]
		(1, 3)    f3(a, b, c, d, e) -> f6(0, b, c, d, f'') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ 0 >= f' ]
		(1, 2)    f3(a, b, c, d, e) -> f6(0, b, c, d, f') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ 0 >= f ]
		(?, 1)    f6(a, b, c, d, e) -> f6(0, b, c, d, f) [ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ -b >= 0 /\ a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= e ]
		(?, 1)    f6(a, b, c, d, e) -> f6(1, b, c, d, f) [ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ -b >= 0 /\ a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ e >= 1 ]
		(c, 1)    f3(a, b, c, d, e) -> f3(a, b, c - 2, f, e) [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ c >= 1 /\ 0 >= f ]
		(c, 1)    f3(a, b, c, d, e) -> f3(a, b, c - 1, f, e) [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ c >= 1 /\ f >= 1 ]
		(1, 1)    f0(a, b, c, d, e) -> f3(0, 0, c, d, e)
	start location:	f0
	leaf cost:	0

By chaining the transition f3(a, b, c, d, e) -> f6(1, b, c, d, f'') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 ] with all transitions in problem 6, the following new transitions are obtained:
	f3(a, b, c, d, e) -> f6(1, b, c, d, f''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 ]
	f3(a, b, c, d, e) -> f6(0, b, c, d, f''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ 0 >= f'' ]
We thus obtain the following problem:
7:	T:
		(1, 4)    f3(a, b, c, d, e) -> f6(1, b, c, d, f''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 ]
		(1, 4)    f3(a, b, c, d, e) -> f6(0, b, c, d, f''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ 0 >= f'' ]
		(1, 3)    f3(a, b, c, d, e) -> f6(0, b, c, d, f'') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ 0 >= f' ]
		(1, 2)    f3(a, b, c, d, e) -> f6(0, b, c, d, f') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ 0 >= f ]
		(?, 1)    f6(a, b, c, d, e) -> f6(0, b, c, d, f) [ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ -b >= 0 /\ a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= e ]
		(?, 1)    f6(a, b, c, d, e) -> f6(1, b, c, d, f) [ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ -b >= 0 /\ a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ e >= 1 ]
		(c, 1)    f3(a, b, c, d, e) -> f3(a, b, c - 2, f, e) [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ c >= 1 /\ 0 >= f ]
		(c, 1)    f3(a, b, c, d, e) -> f3(a, b, c - 1, f, e) [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ c >= 1 /\ f >= 1 ]
		(1, 1)    f0(a, b, c, d, e) -> f3(0, 0, c, d, e)
	start location:	f0
	leaf cost:	0

By chaining the transition f3(a, b, c, d, e) -> f6(1, b, c, d, f''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 ] with all transitions in problem 7, the following new transitions are obtained:
	f3(a, b, c, d, e) -> f6(1, b, c, d, f'''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 ]
	f3(a, b, c, d, e) -> f6(0, b, c, d, f'''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ 0 >= f''' ]
We thus obtain the following problem:
8:	T:
		(1, 5)    f3(a, b, c, d, e) -> f6(1, b, c, d, f'''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 ]
		(1, 5)    f3(a, b, c, d, e) -> f6(0, b, c, d, f'''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ 0 >= f''' ]
		(1, 4)    f3(a, b, c, d, e) -> f6(0, b, c, d, f''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ 0 >= f'' ]
		(1, 3)    f3(a, b, c, d, e) -> f6(0, b, c, d, f'') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ 0 >= f' ]
		(1, 2)    f3(a, b, c, d, e) -> f6(0, b, c, d, f') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ 0 >= f ]
		(?, 1)    f6(a, b, c, d, e) -> f6(0, b, c, d, f) [ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ -b >= 0 /\ a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= e ]
		(?, 1)    f6(a, b, c, d, e) -> f6(1, b, c, d, f) [ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ -b >= 0 /\ a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ e >= 1 ]
		(c, 1)    f3(a, b, c, d, e) -> f3(a, b, c - 2, f, e) [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ c >= 1 /\ 0 >= f ]
		(c, 1)    f3(a, b, c, d, e) -> f3(a, b, c - 1, f, e) [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ c >= 1 /\ f >= 1 ]
		(1, 1)    f0(a, b, c, d, e) -> f3(0, 0, c, d, e)
	start location:	f0
	leaf cost:	0

By chaining the transition f3(a, b, c, d, e) -> f6(1, b, c, d, f'''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 ] with all transitions in problem 8, the following new transitions are obtained:
	f3(a, b, c, d, e) -> f6(1, b, c, d, f''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 ]
	f3(a, b, c, d, e) -> f6(0, b, c, d, f''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ 0 >= f'''' ]
We thus obtain the following problem:
9:	T:
		(1, 6)    f3(a, b, c, d, e) -> f6(1, b, c, d, f''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 ]
		(1, 6)    f3(a, b, c, d, e) -> f6(0, b, c, d, f''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ 0 >= f'''' ]
		(1, 5)    f3(a, b, c, d, e) -> f6(0, b, c, d, f'''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ 0 >= f''' ]
		(1, 4)    f3(a, b, c, d, e) -> f6(0, b, c, d, f''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ 0 >= f'' ]
		(1, 3)    f3(a, b, c, d, e) -> f6(0, b, c, d, f'') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ 0 >= f' ]
		(1, 2)    f3(a, b, c, d, e) -> f6(0, b, c, d, f') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ 0 >= f ]
		(?, 1)    f6(a, b, c, d, e) -> f6(0, b, c, d, f) [ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ -b >= 0 /\ a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= e ]
		(?, 1)    f6(a, b, c, d, e) -> f6(1, b, c, d, f) [ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ -b >= 0 /\ a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ e >= 1 ]
		(c, 1)    f3(a, b, c, d, e) -> f3(a, b, c - 2, f, e) [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ c >= 1 /\ 0 >= f ]
		(c, 1)    f3(a, b, c, d, e) -> f3(a, b, c - 1, f, e) [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ c >= 1 /\ f >= 1 ]
		(1, 1)    f0(a, b, c, d, e) -> f3(0, 0, c, d, e)
	start location:	f0
	leaf cost:	0

By chaining the transition f3(a, b, c, d, e) -> f6(1, b, c, d, f''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 ] with all transitions in problem 9, the following new transitions are obtained:
	f3(a, b, c, d, e) -> f6(1, b, c, d, f'''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 ]
	f3(a, b, c, d, e) -> f6(0, b, c, d, f'''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ 0 >= f''''' ]
We thus obtain the following problem:
10:	T:
		(1, 7)    f3(a, b, c, d, e) -> f6(1, b, c, d, f'''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 ]
		(1, 7)    f3(a, b, c, d, e) -> f6(0, b, c, d, f'''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ 0 >= f''''' ]
		(1, 6)    f3(a, b, c, d, e) -> f6(0, b, c, d, f''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ 0 >= f'''' ]
		(1, 5)    f3(a, b, c, d, e) -> f6(0, b, c, d, f'''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ 0 >= f''' ]
		(1, 4)    f3(a, b, c, d, e) -> f6(0, b, c, d, f''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ 0 >= f'' ]
		(1, 3)    f3(a, b, c, d, e) -> f6(0, b, c, d, f'') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ 0 >= f' ]
		(1, 2)    f3(a, b, c, d, e) -> f6(0, b, c, d, f') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ 0 >= f ]
		(?, 1)    f6(a, b, c, d, e) -> f6(0, b, c, d, f) [ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ -b >= 0 /\ a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= e ]
		(?, 1)    f6(a, b, c, d, e) -> f6(1, b, c, d, f) [ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ -b >= 0 /\ a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ e >= 1 ]
		(c, 1)    f3(a, b, c, d, e) -> f3(a, b, c - 2, f, e) [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ c >= 1 /\ 0 >= f ]
		(c, 1)    f3(a, b, c, d, e) -> f3(a, b, c - 1, f, e) [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ c >= 1 /\ f >= 1 ]
		(1, 1)    f0(a, b, c, d, e) -> f3(0, 0, c, d, e)
	start location:	f0
	leaf cost:	0

By chaining the transition f3(a, b, c, d, e) -> f6(1, b, c, d, f'''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 ] with all transitions in problem 10, the following new transitions are obtained:
	f3(a, b, c, d, e) -> f6(1, b, c, d, f''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 ]
	f3(a, b, c, d, e) -> f6(0, b, c, d, f''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ 0 >= f'''''' ]
We thus obtain the following problem:
11:	T:
		(1, 8)    f3(a, b, c, d, e) -> f6(1, b, c, d, f''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 ]
		(1, 8)    f3(a, b, c, d, e) -> f6(0, b, c, d, f''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ 0 >= f'''''' ]
		(1, 7)    f3(a, b, c, d, e) -> f6(0, b, c, d, f'''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ 0 >= f''''' ]
		(1, 6)    f3(a, b, c, d, e) -> f6(0, b, c, d, f''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ 0 >= f'''' ]
		(1, 5)    f3(a, b, c, d, e) -> f6(0, b, c, d, f'''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ 0 >= f''' ]
		(1, 4)    f3(a, b, c, d, e) -> f6(0, b, c, d, f''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ 0 >= f'' ]
		(1, 3)    f3(a, b, c, d, e) -> f6(0, b, c, d, f'') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ 0 >= f' ]
		(1, 2)    f3(a, b, c, d, e) -> f6(0, b, c, d, f') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ 0 >= f ]
		(?, 1)    f6(a, b, c, d, e) -> f6(0, b, c, d, f) [ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ -b >= 0 /\ a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= e ]
		(?, 1)    f6(a, b, c, d, e) -> f6(1, b, c, d, f) [ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ -b >= 0 /\ a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ e >= 1 ]
		(c, 1)    f3(a, b, c, d, e) -> f3(a, b, c - 2, f, e) [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ c >= 1 /\ 0 >= f ]
		(c, 1)    f3(a, b, c, d, e) -> f3(a, b, c - 1, f, e) [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ c >= 1 /\ f >= 1 ]
		(1, 1)    f0(a, b, c, d, e) -> f3(0, 0, c, d, e)
	start location:	f0
	leaf cost:	0

By chaining the transition f3(a, b, c, d, e) -> f6(1, b, c, d, f''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 ] with all transitions in problem 11, the following new transitions are obtained:
	f3(a, b, c, d, e) -> f6(1, b, c, d, f'''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 ]
	f3(a, b, c, d, e) -> f6(0, b, c, d, f'''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ 0 >= f''''''' ]
We thus obtain the following problem:
12:	T:
		(1, 9)    f3(a, b, c, d, e) -> f6(1, b, c, d, f'''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 ]
		(1, 9)    f3(a, b, c, d, e) -> f6(0, b, c, d, f'''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ 0 >= f''''''' ]
		(1, 8)    f3(a, b, c, d, e) -> f6(0, b, c, d, f''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ 0 >= f'''''' ]
		(1, 7)    f3(a, b, c, d, e) -> f6(0, b, c, d, f'''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ 0 >= f''''' ]
		(1, 6)    f3(a, b, c, d, e) -> f6(0, b, c, d, f''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ 0 >= f'''' ]
		(1, 5)    f3(a, b, c, d, e) -> f6(0, b, c, d, f'''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ 0 >= f''' ]
		(1, 4)    f3(a, b, c, d, e) -> f6(0, b, c, d, f''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ 0 >= f'' ]
		(1, 3)    f3(a, b, c, d, e) -> f6(0, b, c, d, f'') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ 0 >= f' ]
		(1, 2)    f3(a, b, c, d, e) -> f6(0, b, c, d, f') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ 0 >= f ]
		(?, 1)    f6(a, b, c, d, e) -> f6(0, b, c, d, f) [ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ -b >= 0 /\ a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= e ]
		(?, 1)    f6(a, b, c, d, e) -> f6(1, b, c, d, f) [ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ -b >= 0 /\ a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ e >= 1 ]
		(c, 1)    f3(a, b, c, d, e) -> f3(a, b, c - 2, f, e) [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ c >= 1 /\ 0 >= f ]
		(c, 1)    f3(a, b, c, d, e) -> f3(a, b, c - 1, f, e) [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ c >= 1 /\ f >= 1 ]
		(1, 1)    f0(a, b, c, d, e) -> f3(0, 0, c, d, e)
	start location:	f0
	leaf cost:	0

By chaining the transition f3(a, b, c, d, e) -> f6(1, b, c, d, f'''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 ] with all transitions in problem 12, the following new transitions are obtained:
	f3(a, b, c, d, e) -> f6(1, b, c, d, f''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 ]
	f3(a, b, c, d, e) -> f6(0, b, c, d, f''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ 0 >= f'''''''' ]
We thus obtain the following problem:
13:	T:
		(1, 10)    f3(a, b, c, d, e) -> f6(1, b, c, d, f''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 ]
		(1, 10)    f3(a, b, c, d, e) -> f6(0, b, c, d, f''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ 0 >= f'''''''' ]
		(1, 9)     f3(a, b, c, d, e) -> f6(0, b, c, d, f'''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ 0 >= f''''''' ]
		(1, 8)     f3(a, b, c, d, e) -> f6(0, b, c, d, f''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ 0 >= f'''''' ]
		(1, 7)     f3(a, b, c, d, e) -> f6(0, b, c, d, f'''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ 0 >= f''''' ]
		(1, 6)     f3(a, b, c, d, e) -> f6(0, b, c, d, f''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ 0 >= f'''' ]
		(1, 5)     f3(a, b, c, d, e) -> f6(0, b, c, d, f'''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ 0 >= f''' ]
		(1, 4)     f3(a, b, c, d, e) -> f6(0, b, c, d, f''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ 0 >= f'' ]
		(1, 3)     f3(a, b, c, d, e) -> f6(0, b, c, d, f'') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ 0 >= f' ]
		(1, 2)     f3(a, b, c, d, e) -> f6(0, b, c, d, f') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ 0 >= f ]
		(?, 1)     f6(a, b, c, d, e) -> f6(0, b, c, d, f) [ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ -b >= 0 /\ a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= e ]
		(?, 1)     f6(a, b, c, d, e) -> f6(1, b, c, d, f) [ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ -b >= 0 /\ a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ e >= 1 ]
		(c, 1)     f3(a, b, c, d, e) -> f3(a, b, c - 2, f, e) [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ c >= 1 /\ 0 >= f ]
		(c, 1)     f3(a, b, c, d, e) -> f3(a, b, c - 1, f, e) [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ c >= 1 /\ f >= 1 ]
		(1, 1)     f0(a, b, c, d, e) -> f3(0, 0, c, d, e)
	start location:	f0
	leaf cost:	0

By chaining the transition f3(a, b, c, d, e) -> f6(1, b, c, d, f''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 ] with all transitions in problem 13, the following new transitions are obtained:
	f3(a, b, c, d, e) -> f6(1, b, c, d, f'''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ f''''''''' >= 1 ]
	f3(a, b, c, d, e) -> f6(0, b, c, d, f'''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ 0 >= f''''''''' ]
We thus obtain the following problem:
14:	T:
		(1, 11)    f3(a, b, c, d, e) -> f6(1, b, c, d, f'''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ f''''''''' >= 1 ]
		(1, 11)    f3(a, b, c, d, e) -> f6(0, b, c, d, f'''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ 0 >= f''''''''' ]
		(1, 10)    f3(a, b, c, d, e) -> f6(0, b, c, d, f''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ 0 >= f'''''''' ]
		(1, 9)     f3(a, b, c, d, e) -> f6(0, b, c, d, f'''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ 0 >= f''''''' ]
		(1, 8)     f3(a, b, c, d, e) -> f6(0, b, c, d, f''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ 0 >= f'''''' ]
		(1, 7)     f3(a, b, c, d, e) -> f6(0, b, c, d, f'''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ 0 >= f''''' ]
		(1, 6)     f3(a, b, c, d, e) -> f6(0, b, c, d, f''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ 0 >= f'''' ]
		(1, 5)     f3(a, b, c, d, e) -> f6(0, b, c, d, f'''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ 0 >= f''' ]
		(1, 4)     f3(a, b, c, d, e) -> f6(0, b, c, d, f''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ 0 >= f'' ]
		(1, 3)     f3(a, b, c, d, e) -> f6(0, b, c, d, f'') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ 0 >= f' ]
		(1, 2)     f3(a, b, c, d, e) -> f6(0, b, c, d, f') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ 0 >= f ]
		(?, 1)     f6(a, b, c, d, e) -> f6(0, b, c, d, f) [ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ -b >= 0 /\ a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= e ]
		(?, 1)     f6(a, b, c, d, e) -> f6(1, b, c, d, f) [ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ -b >= 0 /\ a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ e >= 1 ]
		(c, 1)     f3(a, b, c, d, e) -> f3(a, b, c - 2, f, e) [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ c >= 1 /\ 0 >= f ]
		(c, 1)     f3(a, b, c, d, e) -> f3(a, b, c - 1, f, e) [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ c >= 1 /\ f >= 1 ]
		(1, 1)     f0(a, b, c, d, e) -> f3(0, 0, c, d, e)
	start location:	f0
	leaf cost:	0

By chaining the transition f3(a, b, c, d, e) -> f6(1, b, c, d, f'''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ f''''''''' >= 1 ] with all transitions in problem 14, the following new transitions are obtained:
	f3(a, b, c, d, e) -> f6(1, b, c, d, f''''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ f''''''''' >= 1 /\ f'''''''''' >= 1 ]
	f3(a, b, c, d, e) -> f6(0, b, c, d, f''''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ f''''''''' >= 1 /\ 0 >= f'''''''''' ]
We thus obtain the following problem:
15:	T:
		(1, 12)    f3(a, b, c, d, e) -> f6(1, b, c, d, f''''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ f''''''''' >= 1 /\ f'''''''''' >= 1 ]
		(1, 12)    f3(a, b, c, d, e) -> f6(0, b, c, d, f''''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ f''''''''' >= 1 /\ 0 >= f'''''''''' ]
		(1, 11)    f3(a, b, c, d, e) -> f6(0, b, c, d, f'''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ 0 >= f''''''''' ]
		(1, 10)    f3(a, b, c, d, e) -> f6(0, b, c, d, f''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ 0 >= f'''''''' ]
		(1, 9)     f3(a, b, c, d, e) -> f6(0, b, c, d, f'''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ 0 >= f''''''' ]
		(1, 8)     f3(a, b, c, d, e) -> f6(0, b, c, d, f''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ 0 >= f'''''' ]
		(1, 7)     f3(a, b, c, d, e) -> f6(0, b, c, d, f'''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ 0 >= f''''' ]
		(1, 6)     f3(a, b, c, d, e) -> f6(0, b, c, d, f''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ 0 >= f'''' ]
		(1, 5)     f3(a, b, c, d, e) -> f6(0, b, c, d, f'''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ 0 >= f''' ]
		(1, 4)     f3(a, b, c, d, e) -> f6(0, b, c, d, f''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ 0 >= f'' ]
		(1, 3)     f3(a, b, c, d, e) -> f6(0, b, c, d, f'') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ 0 >= f' ]
		(1, 2)     f3(a, b, c, d, e) -> f6(0, b, c, d, f') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ 0 >= f ]
		(?, 1)     f6(a, b, c, d, e) -> f6(0, b, c, d, f) [ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ -b >= 0 /\ a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= e ]
		(?, 1)     f6(a, b, c, d, e) -> f6(1, b, c, d, f) [ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ -b >= 0 /\ a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ e >= 1 ]
		(c, 1)     f3(a, b, c, d, e) -> f3(a, b, c - 2, f, e) [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ c >= 1 /\ 0 >= f ]
		(c, 1)     f3(a, b, c, d, e) -> f3(a, b, c - 1, f, e) [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ c >= 1 /\ f >= 1 ]
		(1, 1)     f0(a, b, c, d, e) -> f3(0, 0, c, d, e)
	start location:	f0
	leaf cost:	0

By chaining the transition f3(a, b, c, d, e) -> f6(1, b, c, d, f''''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ f''''''''' >= 1 /\ f'''''''''' >= 1 ] with all transitions in problem 15, the following new transitions are obtained:
	f3(a, b, c, d, e) -> f6(1, b, c, d, f'''''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ f''''''''' >= 1 /\ f'''''''''' >= 1 /\ f''''''''''' >= 1 ]
	f3(a, b, c, d, e) -> f6(0, b, c, d, f'''''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ f''''''''' >= 1 /\ f'''''''''' >= 1 /\ 0 >= f''''''''''' ]
We thus obtain the following problem:
16:	T:
		(1, 13)    f3(a, b, c, d, e) -> f6(1, b, c, d, f'''''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ f''''''''' >= 1 /\ f'''''''''' >= 1 /\ f''''''''''' >= 1 ]
		(1, 13)    f3(a, b, c, d, e) -> f6(0, b, c, d, f'''''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ f''''''''' >= 1 /\ f'''''''''' >= 1 /\ 0 >= f''''''''''' ]
		(1, 12)    f3(a, b, c, d, e) -> f6(0, b, c, d, f''''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ f''''''''' >= 1 /\ 0 >= f'''''''''' ]
		(1, 11)    f3(a, b, c, d, e) -> f6(0, b, c, d, f'''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ 0 >= f''''''''' ]
		(1, 10)    f3(a, b, c, d, e) -> f6(0, b, c, d, f''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ 0 >= f'''''''' ]
		(1, 9)     f3(a, b, c, d, e) -> f6(0, b, c, d, f'''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ 0 >= f''''''' ]
		(1, 8)     f3(a, b, c, d, e) -> f6(0, b, c, d, f''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ 0 >= f'''''' ]
		(1, 7)     f3(a, b, c, d, e) -> f6(0, b, c, d, f'''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ 0 >= f''''' ]
		(1, 6)     f3(a, b, c, d, e) -> f6(0, b, c, d, f''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ 0 >= f'''' ]
		(1, 5)     f3(a, b, c, d, e) -> f6(0, b, c, d, f'''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ 0 >= f''' ]
		(1, 4)     f3(a, b, c, d, e) -> f6(0, b, c, d, f''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ 0 >= f'' ]
		(1, 3)     f3(a, b, c, d, e) -> f6(0, b, c, d, f'') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ 0 >= f' ]
		(1, 2)     f3(a, b, c, d, e) -> f6(0, b, c, d, f') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ 0 >= f ]
		(?, 1)     f6(a, b, c, d, e) -> f6(0, b, c, d, f) [ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ -b >= 0 /\ a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= e ]
		(?, 1)     f6(a, b, c, d, e) -> f6(1, b, c, d, f) [ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ -b >= 0 /\ a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ e >= 1 ]
		(c, 1)     f3(a, b, c, d, e) -> f3(a, b, c - 2, f, e) [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ c >= 1 /\ 0 >= f ]
		(c, 1)     f3(a, b, c, d, e) -> f3(a, b, c - 1, f, e) [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ c >= 1 /\ f >= 1 ]
		(1, 1)     f0(a, b, c, d, e) -> f3(0, 0, c, d, e)
	start location:	f0
	leaf cost:	0

By chaining the transition f3(a, b, c, d, e) -> f6(1, b, c, d, f'''''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ f''''''''' >= 1 /\ f'''''''''' >= 1 /\ f''''''''''' >= 1 ] with all transitions in problem 16, the following new transitions are obtained:
	f3(a, b, c, d, e) -> f6(1, b, c, d, f''''''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ f''''''''' >= 1 /\ f'''''''''' >= 1 /\ f''''''''''' >= 1 /\ f'''''''''''' >= 1 ]
	f3(a, b, c, d, e) -> f6(0, b, c, d, f''''''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ f''''''''' >= 1 /\ f'''''''''' >= 1 /\ f''''''''''' >= 1 /\ 0 >= f'''''''''''' ]
We thus obtain the following problem:
17:	T:
		(1, 14)    f3(a, b, c, d, e) -> f6(1, b, c, d, f''''''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ f''''''''' >= 1 /\ f'''''''''' >= 1 /\ f''''''''''' >= 1 /\ f'''''''''''' >= 1 ]
		(1, 14)    f3(a, b, c, d, e) -> f6(0, b, c, d, f''''''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ f''''''''' >= 1 /\ f'''''''''' >= 1 /\ f''''''''''' >= 1 /\ 0 >= f'''''''''''' ]
		(1, 13)    f3(a, b, c, d, e) -> f6(0, b, c, d, f'''''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ f''''''''' >= 1 /\ f'''''''''' >= 1 /\ 0 >= f''''''''''' ]
		(1, 12)    f3(a, b, c, d, e) -> f6(0, b, c, d, f''''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ f''''''''' >= 1 /\ 0 >= f'''''''''' ]
		(1, 11)    f3(a, b, c, d, e) -> f6(0, b, c, d, f'''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ 0 >= f''''''''' ]
		(1, 10)    f3(a, b, c, d, e) -> f6(0, b, c, d, f''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ 0 >= f'''''''' ]
		(1, 9)     f3(a, b, c, d, e) -> f6(0, b, c, d, f'''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ 0 >= f''''''' ]
		(1, 8)     f3(a, b, c, d, e) -> f6(0, b, c, d, f''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ 0 >= f'''''' ]
		(1, 7)     f3(a, b, c, d, e) -> f6(0, b, c, d, f'''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ 0 >= f''''' ]
		(1, 6)     f3(a, b, c, d, e) -> f6(0, b, c, d, f''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ 0 >= f'''' ]
		(1, 5)     f3(a, b, c, d, e) -> f6(0, b, c, d, f'''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ 0 >= f''' ]
		(1, 4)     f3(a, b, c, d, e) -> f6(0, b, c, d, f''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ 0 >= f'' ]
		(1, 3)     f3(a, b, c, d, e) -> f6(0, b, c, d, f'') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ 0 >= f' ]
		(1, 2)     f3(a, b, c, d, e) -> f6(0, b, c, d, f') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ 0 >= f ]
		(?, 1)     f6(a, b, c, d, e) -> f6(0, b, c, d, f) [ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ -b >= 0 /\ a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= e ]
		(?, 1)     f6(a, b, c, d, e) -> f6(1, b, c, d, f) [ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ -b >= 0 /\ a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ e >= 1 ]
		(c, 1)     f3(a, b, c, d, e) -> f3(a, b, c - 2, f, e) [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ c >= 1 /\ 0 >= f ]
		(c, 1)     f3(a, b, c, d, e) -> f3(a, b, c - 1, f, e) [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ c >= 1 /\ f >= 1 ]
		(1, 1)     f0(a, b, c, d, e) -> f3(0, 0, c, d, e)
	start location:	f0
	leaf cost:	0

By chaining the transition f3(a, b, c, d, e) -> f6(1, b, c, d, f''''''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ f''''''''' >= 1 /\ f'''''''''' >= 1 /\ f''''''''''' >= 1 /\ f'''''''''''' >= 1 ] with all transitions in problem 17, the following new transitions are obtained:
	f3(a, b, c, d, e) -> f6(1, b, c, d, f'''''''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ f''''''''' >= 1 /\ f'''''''''' >= 1 /\ f''''''''''' >= 1 /\ f'''''''''''' >= 1 /\ f''''''''''''' >= 1 ]
	f3(a, b, c, d, e) -> f6(0, b, c, d, f'''''''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ f''''''''' >= 1 /\ f'''''''''' >= 1 /\ f''''''''''' >= 1 /\ f'''''''''''' >= 1 /\ 0 >= f''''''''''''' ]
We thus obtain the following problem:
18:	T:
		(1, 15)    f3(a, b, c, d, e) -> f6(1, b, c, d, f'''''''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ f''''''''' >= 1 /\ f'''''''''' >= 1 /\ f''''''''''' >= 1 /\ f'''''''''''' >= 1 /\ f''''''''''''' >= 1 ]
		(1, 15)    f3(a, b, c, d, e) -> f6(0, b, c, d, f'''''''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ f''''''''' >= 1 /\ f'''''''''' >= 1 /\ f''''''''''' >= 1 /\ f'''''''''''' >= 1 /\ 0 >= f''''''''''''' ]
		(1, 14)    f3(a, b, c, d, e) -> f6(0, b, c, d, f''''''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ f''''''''' >= 1 /\ f'''''''''' >= 1 /\ f''''''''''' >= 1 /\ 0 >= f'''''''''''' ]
		(1, 13)    f3(a, b, c, d, e) -> f6(0, b, c, d, f'''''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ f''''''''' >= 1 /\ f'''''''''' >= 1 /\ 0 >= f''''''''''' ]
		(1, 12)    f3(a, b, c, d, e) -> f6(0, b, c, d, f''''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ f''''''''' >= 1 /\ 0 >= f'''''''''' ]
		(1, 11)    f3(a, b, c, d, e) -> f6(0, b, c, d, f'''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ 0 >= f''''''''' ]
		(1, 10)    f3(a, b, c, d, e) -> f6(0, b, c, d, f''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ 0 >= f'''''''' ]
		(1, 9)     f3(a, b, c, d, e) -> f6(0, b, c, d, f'''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ 0 >= f''''''' ]
		(1, 8)     f3(a, b, c, d, e) -> f6(0, b, c, d, f''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ 0 >= f'''''' ]
		(1, 7)     f3(a, b, c, d, e) -> f6(0, b, c, d, f'''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ 0 >= f''''' ]
		(1, 6)     f3(a, b, c, d, e) -> f6(0, b, c, d, f''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ 0 >= f'''' ]
		(1, 5)     f3(a, b, c, d, e) -> f6(0, b, c, d, f'''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ 0 >= f''' ]
		(1, 4)     f3(a, b, c, d, e) -> f6(0, b, c, d, f''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ 0 >= f'' ]
		(1, 3)     f3(a, b, c, d, e) -> f6(0, b, c, d, f'') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ 0 >= f' ]
		(1, 2)     f3(a, b, c, d, e) -> f6(0, b, c, d, f') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ 0 >= f ]
		(?, 1)     f6(a, b, c, d, e) -> f6(0, b, c, d, f) [ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ -b >= 0 /\ a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= e ]
		(?, 1)     f6(a, b, c, d, e) -> f6(1, b, c, d, f) [ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ -b >= 0 /\ a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ e >= 1 ]
		(c, 1)     f3(a, b, c, d, e) -> f3(a, b, c - 2, f, e) [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ c >= 1 /\ 0 >= f ]
		(c, 1)     f3(a, b, c, d, e) -> f3(a, b, c - 1, f, e) [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ c >= 1 /\ f >= 1 ]
		(1, 1)     f0(a, b, c, d, e) -> f3(0, 0, c, d, e)
	start location:	f0
	leaf cost:	0

By chaining the transition f3(a, b, c, d, e) -> f6(1, b, c, d, f'''''''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ f''''''''' >= 1 /\ f'''''''''' >= 1 /\ f''''''''''' >= 1 /\ f'''''''''''' >= 1 /\ f''''''''''''' >= 1 ] with all transitions in problem 18, the following new transitions are obtained:
	f3(a, b, c, d, e) -> f6(1, b, c, d, f''''''''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ f''''''''' >= 1 /\ f'''''''''' >= 1 /\ f''''''''''' >= 1 /\ f'''''''''''' >= 1 /\ f''''''''''''' >= 1 /\ f'''''''''''''' >= 1 ]
	f3(a, b, c, d, e) -> f6(0, b, c, d, f''''''''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ f''''''''' >= 1 /\ f'''''''''' >= 1 /\ f''''''''''' >= 1 /\ f'''''''''''' >= 1 /\ f''''''''''''' >= 1 /\ 0 >= f'''''''''''''' ]
We thus obtain the following problem:
19:	T:
		(1, 16)    f3(a, b, c, d, e) -> f6(1, b, c, d, f''''''''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ f''''''''' >= 1 /\ f'''''''''' >= 1 /\ f''''''''''' >= 1 /\ f'''''''''''' >= 1 /\ f''''''''''''' >= 1 /\ f'''''''''''''' >= 1 ]
		(1, 16)    f3(a, b, c, d, e) -> f6(0, b, c, d, f''''''''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ f''''''''' >= 1 /\ f'''''''''' >= 1 /\ f''''''''''' >= 1 /\ f'''''''''''' >= 1 /\ f''''''''''''' >= 1 /\ 0 >= f'''''''''''''' ]
		(1, 15)    f3(a, b, c, d, e) -> f6(0, b, c, d, f'''''''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ f''''''''' >= 1 /\ f'''''''''' >= 1 /\ f''''''''''' >= 1 /\ f'''''''''''' >= 1 /\ 0 >= f''''''''''''' ]
		(1, 14)    f3(a, b, c, d, e) -> f6(0, b, c, d, f''''''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ f''''''''' >= 1 /\ f'''''''''' >= 1 /\ f''''''''''' >= 1 /\ 0 >= f'''''''''''' ]
		(1, 13)    f3(a, b, c, d, e) -> f6(0, b, c, d, f'''''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ f''''''''' >= 1 /\ f'''''''''' >= 1 /\ 0 >= f''''''''''' ]
		(1, 12)    f3(a, b, c, d, e) -> f6(0, b, c, d, f''''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ f''''''''' >= 1 /\ 0 >= f'''''''''' ]
		(1, 11)    f3(a, b, c, d, e) -> f6(0, b, c, d, f'''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ f'''''''' >= 1 /\ 0 >= f''''''''' ]
		(1, 10)    f3(a, b, c, d, e) -> f6(0, b, c, d, f''''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ f''''''' >= 1 /\ 0 >= f'''''''' ]
		(1, 9)     f3(a, b, c, d, e) -> f6(0, b, c, d, f'''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ f'''''' >= 1 /\ 0 >= f''''''' ]
		(1, 8)     f3(a, b, c, d, e) -> f6(0, b, c, d, f''''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ f''''' >= 1 /\ 0 >= f'''''' ]
		(1, 7)     f3(a, b, c, d, e) -> f6(0, b, c, d, f'''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ f'''' >= 1 /\ 0 >= f''''' ]
		(1, 6)     f3(a, b, c, d, e) -> f6(0, b, c, d, f''''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ f''' >= 1 /\ 0 >= f'''' ]
		(1, 5)     f3(a, b, c, d, e) -> f6(0, b, c, d, f'''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ f'' >= 1 /\ 0 >= f''' ]
		(1, 4)     f3(a, b, c, d, e) -> f6(0, b, c, d, f''') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ f' >= 1 /\ 0 >= f'' ]
		(1, 3)     f3(a, b, c, d, e) -> f6(0, b, c, d, f'') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ f >= 1 /\ -c + 1 >= 0 /\ -b + 1 >= 0 /\ b + 1 >= 0 /\ 1 >= 0 /\ 0 >= f' ]
		(1, 2)     f3(a, b, c, d, e) -> f6(0, b, c, d, f') [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ 0 >= c /\ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ 0 >= f ]
		(?, 1)     f6(a, b, c, d, e) -> f6(0, b, c, d, f) [ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ -b >= 0 /\ a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= e ]
		(?, 1)     f6(a, b, c, d, e) -> f6(1, b, c, d, f) [ -c >= 0 /\ b - c >= 0 /\ -b - c >= 0 /\ a - c >= 0 /\ -b >= 0 /\ a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ e >= 1 ]
		(c, 1)     f3(a, b, c, d, e) -> f3(a, b, c - 2, f, e) [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ c >= 1 /\ 0 >= f ]
		(c, 1)     f3(a, b, c, d, e) -> f3(a, b, c - 1, f, e) [ -b >= 0 /\ a - b >= 0 /\ -a - b >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b >= 0 /\ -a >= 0 /\ a >= 0 /\ c >= 1 /\ f >= 1 ]
		(1, 1)     f0(a, b, c, d, e) -> f3(0, 0, c, d, e)
	start location:	f0
	leaf cost:	0

Complexity upper bound ?

Time: 4.612 sec (SMT: 4.035 sec)