MAYBE

Initial complexity problem:
1:	T:
		(?, 1)    f15(a, b, c, d, e) -> f16(a, b, c, d, e) [ a >= b + 1 ]
		(?, 1)    f15(a, b, c, d, e) -> f16(a, b, c, d, e) [ b >= a + 1 ]
		(1, 1)    f0(a, b, c, d, e) -> f7(f, b, f, d, e) [ 0 >= f ]
		(1, 1)    f0(a, b, c, d, e) -> f7(f, b, f, d, e) [ f >= 101 ]
		(1, 1)    f0(a, b, c, d, e) -> f15(f, 0, f, g, e) [ 100 >= f /\ f >= 1 ]
		(?, 1)    f16(a, b, c, d, e) -> f15(a, b + 1, c, d, e)
		(?, 1)    f23(a, b, c, d, e) -> f23(a, b, c, d, e + 1) [ b >= e + 1 ]
		(?, 1)    f23(a, b, c, d, e) -> f7(a, b, c, d, e) [ e >= b ]
		(?, 1)    f15(a, b, c, d, e) -> f23(a, a - 1, c, d, 0) [ a = b ]
		(?, 1)    f16(a, b, c, d, e) -> f23(a, b - 1, c, d, 0)
	start location:	f0
	leaf cost:	0

Slicing away variables that do not contribute to conditions from problem 1 leaves variables [a, b, e].
We thus obtain the following problem:
2:	T:
		(?, 1)    f16(a, b, e) -> f23(a, b - 1, 0)
		(?, 1)    f15(a, b, e) -> f23(a, a - 1, 0) [ a = b ]
		(?, 1)    f23(a, b, e) -> f7(a, b, e) [ e >= b ]
		(?, 1)    f23(a, b, e) -> f23(a, b, e + 1) [ b >= e + 1 ]
		(?, 1)    f16(a, b, e) -> f15(a, b + 1, e)
		(1, 1)    f0(a, b, e) -> f15(f, 0, e) [ 100 >= f /\ f >= 1 ]
		(1, 1)    f0(a, b, e) -> f7(f, b, e) [ f >= 101 ]
		(1, 1)    f0(a, b, e) -> f7(f, b, e) [ 0 >= f ]
		(?, 1)    f15(a, b, e) -> f16(a, b, e) [ b >= a + 1 ]
		(?, 1)    f15(a, b, e) -> f16(a, b, e) [ a >= b + 1 ]
	start location:	f0
	leaf cost:	0

Repeatedly removing leaves of the complexity graph in problem 2 produces the following problem:
3:	T:
		(?, 1)    f16(a, b, e) -> f23(a, b - 1, 0)
		(?, 1)    f15(a, b, e) -> f23(a, a - 1, 0) [ a = b ]
		(?, 1)    f23(a, b, e) -> f23(a, b, e + 1) [ b >= e + 1 ]
		(?, 1)    f16(a, b, e) -> f15(a, b + 1, e)
		(1, 1)    f0(a, b, e) -> f15(f, 0, e) [ 100 >= f /\ f >= 1 ]
		(?, 1)    f15(a, b, e) -> f16(a, b, e) [ b >= a + 1 ]
		(?, 1)    f15(a, b, e) -> f16(a, b, e) [ a >= b + 1 ]
	start location:	f0
	leaf cost:	3

A polynomial rank function with
	Pol(f16) = 1
	Pol(f23) = -1
	Pol(f15) = 1
	Pol(f0) = 1
orients all transitions weakly and the transitions
	f16(a, b, e) -> f23(a, b - 1, 0)
	f15(a, b, e) -> f23(a, a - 1, 0) [ a = b ]
strictly and produces the following problem:
4:	T:
		(1, 1)    f16(a, b, e) -> f23(a, b - 1, 0)
		(1, 1)    f15(a, b, e) -> f23(a, a - 1, 0) [ a = b ]
		(?, 1)    f23(a, b, e) -> f23(a, b, e + 1) [ b >= e + 1 ]
		(?, 1)    f16(a, b, e) -> f15(a, b + 1, e)
		(1, 1)    f0(a, b, e) -> f15(f, 0, e) [ 100 >= f /\ f >= 1 ]
		(?, 1)    f15(a, b, e) -> f16(a, b, e) [ b >= a + 1 ]
		(?, 1)    f15(a, b, e) -> f16(a, b, e) [ a >= b + 1 ]
	start location:	f0
	leaf cost:	3

A polynomial rank function with
	Pol(f16) = 2*V_1 - 2*V_2
	Pol(f23) = 2*V_1 - 2*V_2 - V_3 - 2
	Pol(f15) = 2*V_1 - 2*V_2 + 1
	Pol(f0) = 201
orients all transitions weakly and the transition
	f15(a, b, e) -> f16(a, b, e) [ a >= b + 1 ]
strictly and produces the following problem:
5:	T:
		(1, 1)      f16(a, b, e) -> f23(a, b - 1, 0)
		(1, 1)      f15(a, b, e) -> f23(a, a - 1, 0) [ a = b ]
		(?, 1)      f23(a, b, e) -> f23(a, b, e + 1) [ b >= e + 1 ]
		(?, 1)      f16(a, b, e) -> f15(a, b + 1, e)
		(1, 1)      f0(a, b, e) -> f15(f, 0, e) [ 100 >= f /\ f >= 1 ]
		(?, 1)      f15(a, b, e) -> f16(a, b, e) [ b >= a + 1 ]
		(201, 1)    f15(a, b, e) -> f16(a, b, e) [ a >= b + 1 ]
	start location:	f0
	leaf cost:	3

Applied AI with 'oct' on problem 5 to obtain the following invariants:
  For symbol f15: X_2 >= 0 /\ X_1 + X_2 - 1 >= 0 /\ -X_1 + X_2 + 100 >= 0 /\ -X_1 + 100 >= 0 /\ X_1 - 1 >= 0
  For symbol f16: X_2 >= 0 /\ X_1 + X_2 - 1 >= 0 /\ -X_1 + X_2 + 100 >= 0 /\ -X_1 + 100 >= 0 /\ X_1 - 1 >= 0
  For symbol f23: X_2 - X_3 + 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 + 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 + 100 >= 0 /\ X_2 + 1 >= 0 /\ X_1 + X_2 >= 0 /\ -X_1 + X_2 + 101 >= 0 /\ -X_1 + 100 >= 0 /\ X_1 - 1 >= 0


This yielded the following problem:
6:	T:
		(201, 1)    f15(a, b, e) -> f16(a, b, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a >= b + 1 ]
		(?, 1)      f15(a, b, e) -> f16(a, b, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ b >= a + 1 ]
		(1, 1)      f0(a, b, e) -> f15(f, 0, e) [ 100 >= f /\ f >= 1 ]
		(?, 1)      f16(a, b, e) -> f15(a, b + 1, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 ]
		(?, 1)      f23(a, b, e) -> f23(a, b, e + 1) [ b - e + 1 >= 0 /\ e >= 0 /\ b + e + 1 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 100 >= 0 /\ b + 1 >= 0 /\ a + b >= 0 /\ -a + b + 101 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ b >= e + 1 ]
		(1, 1)      f15(a, b, e) -> f23(a, a - 1, 0) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b ]
		(1, 1)      f16(a, b, e) -> f23(a, b - 1, 0) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 ]
	start location:	f0
	leaf cost:	3

By chaining the transition f0(a, b, e) -> f15(f, 0, e) [ 100 >= f /\ f >= 1 ] with all transitions in problem 6, the following new transition is obtained:
	f0(a, b, e) -> f16(f, 0, e) [ 100 >= f /\ f >= 1 /\ 0 >= 0 /\ f - 1 >= 0 /\ -f + 100 >= 0 ]
We thus obtain the following problem:
7:	T:
		(1, 2)      f0(a, b, e) -> f16(f, 0, e) [ 100 >= f /\ f >= 1 /\ 0 >= 0 /\ f - 1 >= 0 /\ -f + 100 >= 0 ]
		(201, 1)    f15(a, b, e) -> f16(a, b, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a >= b + 1 ]
		(?, 1)      f15(a, b, e) -> f16(a, b, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ b >= a + 1 ]
		(?, 1)      f16(a, b, e) -> f15(a, b + 1, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 ]
		(?, 1)      f23(a, b, e) -> f23(a, b, e + 1) [ b - e + 1 >= 0 /\ e >= 0 /\ b + e + 1 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 100 >= 0 /\ b + 1 >= 0 /\ a + b >= 0 /\ -a + b + 101 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ b >= e + 1 ]
		(1, 1)      f15(a, b, e) -> f23(a, a - 1, 0) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b ]
		(1, 1)      f16(a, b, e) -> f23(a, b - 1, 0) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 ]
	start location:	f0
	leaf cost:	3

By chaining the transition f15(a, b, e) -> f23(a, a - 1, 0) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b ] with all transitions in problem 7, the following new transition is obtained:
	f15(a, b, e) -> f23(a, a - 1, 1) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 ]
We thus obtain the following problem:
8:	T:
		(1, 2)      f15(a, b, e) -> f23(a, a - 1, 1) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 ]
		(1, 2)      f0(a, b, e) -> f16(f, 0, e) [ 100 >= f /\ f >= 1 /\ 0 >= 0 /\ f - 1 >= 0 /\ -f + 100 >= 0 ]
		(201, 1)    f15(a, b, e) -> f16(a, b, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a >= b + 1 ]
		(?, 1)      f15(a, b, e) -> f16(a, b, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ b >= a + 1 ]
		(?, 1)      f16(a, b, e) -> f15(a, b + 1, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 ]
		(?, 1)      f23(a, b, e) -> f23(a, b, e + 1) [ b - e + 1 >= 0 /\ e >= 0 /\ b + e + 1 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 100 >= 0 /\ b + 1 >= 0 /\ a + b >= 0 /\ -a + b + 101 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ b >= e + 1 ]
		(1, 1)      f16(a, b, e) -> f23(a, b - 1, 0) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 ]
	start location:	f0
	leaf cost:	3

By chaining the transition f15(a, b, e) -> f23(a, a - 1, 1) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 ] with all transitions in problem 8, the following new transition is obtained:
	f15(a, b, e) -> f23(a, a - 1, 2) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 /\ 1 >= 0 /\ a + 1 >= 0 /\ -a + 101 >= 0 /\ a - 1 >= 2 ]
We thus obtain the following problem:
9:	T:
		(1, 3)      f15(a, b, e) -> f23(a, a - 1, 2) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 /\ 1 >= 0 /\ a + 1 >= 0 /\ -a + 101 >= 0 /\ a - 1 >= 2 ]
		(1, 2)      f0(a, b, e) -> f16(f, 0, e) [ 100 >= f /\ f >= 1 /\ 0 >= 0 /\ f - 1 >= 0 /\ -f + 100 >= 0 ]
		(201, 1)    f15(a, b, e) -> f16(a, b, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a >= b + 1 ]
		(?, 1)      f15(a, b, e) -> f16(a, b, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ b >= a + 1 ]
		(?, 1)      f16(a, b, e) -> f15(a, b + 1, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 ]
		(?, 1)      f23(a, b, e) -> f23(a, b, e + 1) [ b - e + 1 >= 0 /\ e >= 0 /\ b + e + 1 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 100 >= 0 /\ b + 1 >= 0 /\ a + b >= 0 /\ -a + b + 101 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ b >= e + 1 ]
		(1, 1)      f16(a, b, e) -> f23(a, b - 1, 0) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 ]
	start location:	f0
	leaf cost:	3

By chaining the transition f15(a, b, e) -> f23(a, a - 1, 2) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 /\ 1 >= 0 /\ a + 1 >= 0 /\ -a + 101 >= 0 /\ a - 1 >= 2 ] with all transitions in problem 9, the following new transition is obtained:
	f15(a, b, e) -> f23(a, a - 1, 3) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 /\ 1 >= 0 /\ a + 1 >= 0 /\ -a + 101 >= 0 /\ a - 1 >= 2 /\ a - 2 >= 0 /\ 2 >= 0 /\ a + 2 >= 0 /\ -a + 102 >= 0 /\ a - 1 >= 3 ]
We thus obtain the following problem:
10:	T:
		(1, 4)      f15(a, b, e) -> f23(a, a - 1, 3) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 /\ 1 >= 0 /\ a + 1 >= 0 /\ -a + 101 >= 0 /\ a - 1 >= 2 /\ a - 2 >= 0 /\ 2 >= 0 /\ a + 2 >= 0 /\ -a + 102 >= 0 /\ a - 1 >= 3 ]
		(1, 2)      f0(a, b, e) -> f16(f, 0, e) [ 100 >= f /\ f >= 1 /\ 0 >= 0 /\ f - 1 >= 0 /\ -f + 100 >= 0 ]
		(201, 1)    f15(a, b, e) -> f16(a, b, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a >= b + 1 ]
		(?, 1)      f15(a, b, e) -> f16(a, b, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ b >= a + 1 ]
		(?, 1)      f16(a, b, e) -> f15(a, b + 1, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 ]
		(?, 1)      f23(a, b, e) -> f23(a, b, e + 1) [ b - e + 1 >= 0 /\ e >= 0 /\ b + e + 1 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 100 >= 0 /\ b + 1 >= 0 /\ a + b >= 0 /\ -a + b + 101 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ b >= e + 1 ]
		(1, 1)      f16(a, b, e) -> f23(a, b - 1, 0) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 ]
	start location:	f0
	leaf cost:	3

By chaining the transition f15(a, b, e) -> f23(a, a - 1, 3) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 /\ 1 >= 0 /\ a + 1 >= 0 /\ -a + 101 >= 0 /\ a - 1 >= 2 /\ a - 2 >= 0 /\ 2 >= 0 /\ a + 2 >= 0 /\ -a + 102 >= 0 /\ a - 1 >= 3 ] with all transitions in problem 10, the following new transition is obtained:
	f15(a, b, e) -> f23(a, a - 1, 4) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 /\ 1 >= 0 /\ a + 1 >= 0 /\ -a + 101 >= 0 /\ a - 1 >= 2 /\ a - 2 >= 0 /\ 2 >= 0 /\ a + 2 >= 0 /\ -a + 102 >= 0 /\ a - 1 >= 3 /\ a - 3 >= 0 /\ 3 >= 0 /\ a + 3 >= 0 /\ -a + 103 >= 0 /\ a - 1 >= 4 ]
We thus obtain the following problem:
11:	T:
		(1, 5)      f15(a, b, e) -> f23(a, a - 1, 4) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 /\ 1 >= 0 /\ a + 1 >= 0 /\ -a + 101 >= 0 /\ a - 1 >= 2 /\ a - 2 >= 0 /\ 2 >= 0 /\ a + 2 >= 0 /\ -a + 102 >= 0 /\ a - 1 >= 3 /\ a - 3 >= 0 /\ 3 >= 0 /\ a + 3 >= 0 /\ -a + 103 >= 0 /\ a - 1 >= 4 ]
		(1, 2)      f0(a, b, e) -> f16(f, 0, e) [ 100 >= f /\ f >= 1 /\ 0 >= 0 /\ f - 1 >= 0 /\ -f + 100 >= 0 ]
		(201, 1)    f15(a, b, e) -> f16(a, b, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a >= b + 1 ]
		(?, 1)      f15(a, b, e) -> f16(a, b, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ b >= a + 1 ]
		(?, 1)      f16(a, b, e) -> f15(a, b + 1, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 ]
		(?, 1)      f23(a, b, e) -> f23(a, b, e + 1) [ b - e + 1 >= 0 /\ e >= 0 /\ b + e + 1 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 100 >= 0 /\ b + 1 >= 0 /\ a + b >= 0 /\ -a + b + 101 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ b >= e + 1 ]
		(1, 1)      f16(a, b, e) -> f23(a, b - 1, 0) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 ]
	start location:	f0
	leaf cost:	3

By chaining the transition f15(a, b, e) -> f23(a, a - 1, 4) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 /\ 1 >= 0 /\ a + 1 >= 0 /\ -a + 101 >= 0 /\ a - 1 >= 2 /\ a - 2 >= 0 /\ 2 >= 0 /\ a + 2 >= 0 /\ -a + 102 >= 0 /\ a - 1 >= 3 /\ a - 3 >= 0 /\ 3 >= 0 /\ a + 3 >= 0 /\ -a + 103 >= 0 /\ a - 1 >= 4 ] with all transitions in problem 11, the following new transition is obtained:
	f15(a, b, e) -> f23(a, a - 1, 5) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 /\ 1 >= 0 /\ a + 1 >= 0 /\ -a + 101 >= 0 /\ a - 1 >= 2 /\ a - 2 >= 0 /\ 2 >= 0 /\ a + 2 >= 0 /\ -a + 102 >= 0 /\ a - 1 >= 3 /\ a - 3 >= 0 /\ 3 >= 0 /\ a + 3 >= 0 /\ -a + 103 >= 0 /\ a - 1 >= 4 /\ a - 4 >= 0 /\ 4 >= 0 /\ a + 4 >= 0 /\ -a + 104 >= 0 /\ a - 1 >= 5 ]
We thus obtain the following problem:
12:	T:
		(1, 6)      f15(a, b, e) -> f23(a, a - 1, 5) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 /\ 1 >= 0 /\ a + 1 >= 0 /\ -a + 101 >= 0 /\ a - 1 >= 2 /\ a - 2 >= 0 /\ 2 >= 0 /\ a + 2 >= 0 /\ -a + 102 >= 0 /\ a - 1 >= 3 /\ a - 3 >= 0 /\ 3 >= 0 /\ a + 3 >= 0 /\ -a + 103 >= 0 /\ a - 1 >= 4 /\ a - 4 >= 0 /\ 4 >= 0 /\ a + 4 >= 0 /\ -a + 104 >= 0 /\ a - 1 >= 5 ]
		(1, 2)      f0(a, b, e) -> f16(f, 0, e) [ 100 >= f /\ f >= 1 /\ 0 >= 0 /\ f - 1 >= 0 /\ -f + 100 >= 0 ]
		(201, 1)    f15(a, b, e) -> f16(a, b, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a >= b + 1 ]
		(?, 1)      f15(a, b, e) -> f16(a, b, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ b >= a + 1 ]
		(?, 1)      f16(a, b, e) -> f15(a, b + 1, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 ]
		(?, 1)      f23(a, b, e) -> f23(a, b, e + 1) [ b - e + 1 >= 0 /\ e >= 0 /\ b + e + 1 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 100 >= 0 /\ b + 1 >= 0 /\ a + b >= 0 /\ -a + b + 101 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ b >= e + 1 ]
		(1, 1)      f16(a, b, e) -> f23(a, b - 1, 0) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 ]
	start location:	f0
	leaf cost:	3

By chaining the transition f15(a, b, e) -> f23(a, a - 1, 5) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 /\ 1 >= 0 /\ a + 1 >= 0 /\ -a + 101 >= 0 /\ a - 1 >= 2 /\ a - 2 >= 0 /\ 2 >= 0 /\ a + 2 >= 0 /\ -a + 102 >= 0 /\ a - 1 >= 3 /\ a - 3 >= 0 /\ 3 >= 0 /\ a + 3 >= 0 /\ -a + 103 >= 0 /\ a - 1 >= 4 /\ a - 4 >= 0 /\ 4 >= 0 /\ a + 4 >= 0 /\ -a + 104 >= 0 /\ a - 1 >= 5 ] with all transitions in problem 12, the following new transition is obtained:
	f15(a, b, e) -> f23(a, a - 1, 6) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 /\ 1 >= 0 /\ a + 1 >= 0 /\ -a + 101 >= 0 /\ a - 1 >= 2 /\ a - 2 >= 0 /\ 2 >= 0 /\ a + 2 >= 0 /\ -a + 102 >= 0 /\ a - 1 >= 3 /\ a - 3 >= 0 /\ 3 >= 0 /\ a + 3 >= 0 /\ -a + 103 >= 0 /\ a - 1 >= 4 /\ a - 4 >= 0 /\ 4 >= 0 /\ a + 4 >= 0 /\ -a + 104 >= 0 /\ a - 1 >= 5 /\ a - 5 >= 0 /\ 5 >= 0 /\ a + 5 >= 0 /\ -a + 105 >= 0 /\ a - 1 >= 6 ]
We thus obtain the following problem:
13:	T:
		(1, 7)      f15(a, b, e) -> f23(a, a - 1, 6) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 /\ 1 >= 0 /\ a + 1 >= 0 /\ -a + 101 >= 0 /\ a - 1 >= 2 /\ a - 2 >= 0 /\ 2 >= 0 /\ a + 2 >= 0 /\ -a + 102 >= 0 /\ a - 1 >= 3 /\ a - 3 >= 0 /\ 3 >= 0 /\ a + 3 >= 0 /\ -a + 103 >= 0 /\ a - 1 >= 4 /\ a - 4 >= 0 /\ 4 >= 0 /\ a + 4 >= 0 /\ -a + 104 >= 0 /\ a - 1 >= 5 /\ a - 5 >= 0 /\ 5 >= 0 /\ a + 5 >= 0 /\ -a + 105 >= 0 /\ a - 1 >= 6 ]
		(1, 2)      f0(a, b, e) -> f16(f, 0, e) [ 100 >= f /\ f >= 1 /\ 0 >= 0 /\ f - 1 >= 0 /\ -f + 100 >= 0 ]
		(201, 1)    f15(a, b, e) -> f16(a, b, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a >= b + 1 ]
		(?, 1)      f15(a, b, e) -> f16(a, b, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ b >= a + 1 ]
		(?, 1)      f16(a, b, e) -> f15(a, b + 1, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 ]
		(?, 1)      f23(a, b, e) -> f23(a, b, e + 1) [ b - e + 1 >= 0 /\ e >= 0 /\ b + e + 1 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 100 >= 0 /\ b + 1 >= 0 /\ a + b >= 0 /\ -a + b + 101 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ b >= e + 1 ]
		(1, 1)      f16(a, b, e) -> f23(a, b - 1, 0) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 ]
	start location:	f0
	leaf cost:	3

By chaining the transition f15(a, b, e) -> f23(a, a - 1, 6) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 /\ 1 >= 0 /\ a + 1 >= 0 /\ -a + 101 >= 0 /\ a - 1 >= 2 /\ a - 2 >= 0 /\ 2 >= 0 /\ a + 2 >= 0 /\ -a + 102 >= 0 /\ a - 1 >= 3 /\ a - 3 >= 0 /\ 3 >= 0 /\ a + 3 >= 0 /\ -a + 103 >= 0 /\ a - 1 >= 4 /\ a - 4 >= 0 /\ 4 >= 0 /\ a + 4 >= 0 /\ -a + 104 >= 0 /\ a - 1 >= 5 /\ a - 5 >= 0 /\ 5 >= 0 /\ a + 5 >= 0 /\ -a + 105 >= 0 /\ a - 1 >= 6 ] with all transitions in problem 13, the following new transition is obtained:
	f15(a, b, e) -> f23(a, a - 1, 7) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 /\ 1 >= 0 /\ a + 1 >= 0 /\ -a + 101 >= 0 /\ a - 1 >= 2 /\ a - 2 >= 0 /\ 2 >= 0 /\ a + 2 >= 0 /\ -a + 102 >= 0 /\ a - 1 >= 3 /\ a - 3 >= 0 /\ 3 >= 0 /\ a + 3 >= 0 /\ -a + 103 >= 0 /\ a - 1 >= 4 /\ a - 4 >= 0 /\ 4 >= 0 /\ a + 4 >= 0 /\ -a + 104 >= 0 /\ a - 1 >= 5 /\ a - 5 >= 0 /\ 5 >= 0 /\ a + 5 >= 0 /\ -a + 105 >= 0 /\ a - 1 >= 6 /\ a - 6 >= 0 /\ 6 >= 0 /\ a + 6 >= 0 /\ -a + 106 >= 0 /\ a - 1 >= 7 ]
We thus obtain the following problem:
14:	T:
		(1, 8)      f15(a, b, e) -> f23(a, a - 1, 7) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 /\ 1 >= 0 /\ a + 1 >= 0 /\ -a + 101 >= 0 /\ a - 1 >= 2 /\ a - 2 >= 0 /\ 2 >= 0 /\ a + 2 >= 0 /\ -a + 102 >= 0 /\ a - 1 >= 3 /\ a - 3 >= 0 /\ 3 >= 0 /\ a + 3 >= 0 /\ -a + 103 >= 0 /\ a - 1 >= 4 /\ a - 4 >= 0 /\ 4 >= 0 /\ a + 4 >= 0 /\ -a + 104 >= 0 /\ a - 1 >= 5 /\ a - 5 >= 0 /\ 5 >= 0 /\ a + 5 >= 0 /\ -a + 105 >= 0 /\ a - 1 >= 6 /\ a - 6 >= 0 /\ 6 >= 0 /\ a + 6 >= 0 /\ -a + 106 >= 0 /\ a - 1 >= 7 ]
		(1, 2)      f0(a, b, e) -> f16(f, 0, e) [ 100 >= f /\ f >= 1 /\ 0 >= 0 /\ f - 1 >= 0 /\ -f + 100 >= 0 ]
		(201, 1)    f15(a, b, e) -> f16(a, b, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a >= b + 1 ]
		(?, 1)      f15(a, b, e) -> f16(a, b, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ b >= a + 1 ]
		(?, 1)      f16(a, b, e) -> f15(a, b + 1, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 ]
		(?, 1)      f23(a, b, e) -> f23(a, b, e + 1) [ b - e + 1 >= 0 /\ e >= 0 /\ b + e + 1 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 100 >= 0 /\ b + 1 >= 0 /\ a + b >= 0 /\ -a + b + 101 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ b >= e + 1 ]
		(1, 1)      f16(a, b, e) -> f23(a, b - 1, 0) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 ]
	start location:	f0
	leaf cost:	3

By chaining the transition f15(a, b, e) -> f23(a, a - 1, 7) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 /\ 1 >= 0 /\ a + 1 >= 0 /\ -a + 101 >= 0 /\ a - 1 >= 2 /\ a - 2 >= 0 /\ 2 >= 0 /\ a + 2 >= 0 /\ -a + 102 >= 0 /\ a - 1 >= 3 /\ a - 3 >= 0 /\ 3 >= 0 /\ a + 3 >= 0 /\ -a + 103 >= 0 /\ a - 1 >= 4 /\ a - 4 >= 0 /\ 4 >= 0 /\ a + 4 >= 0 /\ -a + 104 >= 0 /\ a - 1 >= 5 /\ a - 5 >= 0 /\ 5 >= 0 /\ a + 5 >= 0 /\ -a + 105 >= 0 /\ a - 1 >= 6 /\ a - 6 >= 0 /\ 6 >= 0 /\ a + 6 >= 0 /\ -a + 106 >= 0 /\ a - 1 >= 7 ] with all transitions in problem 14, the following new transition is obtained:
	f15(a, b, e) -> f23(a, a - 1, 8) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 /\ 1 >= 0 /\ a + 1 >= 0 /\ -a + 101 >= 0 /\ a - 1 >= 2 /\ a - 2 >= 0 /\ 2 >= 0 /\ a + 2 >= 0 /\ -a + 102 >= 0 /\ a - 1 >= 3 /\ a - 3 >= 0 /\ 3 >= 0 /\ a + 3 >= 0 /\ -a + 103 >= 0 /\ a - 1 >= 4 /\ a - 4 >= 0 /\ 4 >= 0 /\ a + 4 >= 0 /\ -a + 104 >= 0 /\ a - 1 >= 5 /\ a - 5 >= 0 /\ 5 >= 0 /\ a + 5 >= 0 /\ -a + 105 >= 0 /\ a - 1 >= 6 /\ a - 6 >= 0 /\ 6 >= 0 /\ a + 6 >= 0 /\ -a + 106 >= 0 /\ a - 1 >= 7 /\ a - 7 >= 0 /\ 7 >= 0 /\ a + 7 >= 0 /\ -a + 107 >= 0 /\ a - 1 >= 8 ]
We thus obtain the following problem:
15:	T:
		(1, 9)      f15(a, b, e) -> f23(a, a - 1, 8) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 /\ 1 >= 0 /\ a + 1 >= 0 /\ -a + 101 >= 0 /\ a - 1 >= 2 /\ a - 2 >= 0 /\ 2 >= 0 /\ a + 2 >= 0 /\ -a + 102 >= 0 /\ a - 1 >= 3 /\ a - 3 >= 0 /\ 3 >= 0 /\ a + 3 >= 0 /\ -a + 103 >= 0 /\ a - 1 >= 4 /\ a - 4 >= 0 /\ 4 >= 0 /\ a + 4 >= 0 /\ -a + 104 >= 0 /\ a - 1 >= 5 /\ a - 5 >= 0 /\ 5 >= 0 /\ a + 5 >= 0 /\ -a + 105 >= 0 /\ a - 1 >= 6 /\ a - 6 >= 0 /\ 6 >= 0 /\ a + 6 >= 0 /\ -a + 106 >= 0 /\ a - 1 >= 7 /\ a - 7 >= 0 /\ 7 >= 0 /\ a + 7 >= 0 /\ -a + 107 >= 0 /\ a - 1 >= 8 ]
		(1, 2)      f0(a, b, e) -> f16(f, 0, e) [ 100 >= f /\ f >= 1 /\ 0 >= 0 /\ f - 1 >= 0 /\ -f + 100 >= 0 ]
		(201, 1)    f15(a, b, e) -> f16(a, b, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a >= b + 1 ]
		(?, 1)      f15(a, b, e) -> f16(a, b, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ b >= a + 1 ]
		(?, 1)      f16(a, b, e) -> f15(a, b + 1, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 ]
		(?, 1)      f23(a, b, e) -> f23(a, b, e + 1) [ b - e + 1 >= 0 /\ e >= 0 /\ b + e + 1 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 100 >= 0 /\ b + 1 >= 0 /\ a + b >= 0 /\ -a + b + 101 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ b >= e + 1 ]
		(1, 1)      f16(a, b, e) -> f23(a, b - 1, 0) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 ]
	start location:	f0
	leaf cost:	3

By chaining the transition f15(a, b, e) -> f23(a, a - 1, 8) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 /\ 1 >= 0 /\ a + 1 >= 0 /\ -a + 101 >= 0 /\ a - 1 >= 2 /\ a - 2 >= 0 /\ 2 >= 0 /\ a + 2 >= 0 /\ -a + 102 >= 0 /\ a - 1 >= 3 /\ a - 3 >= 0 /\ 3 >= 0 /\ a + 3 >= 0 /\ -a + 103 >= 0 /\ a - 1 >= 4 /\ a - 4 >= 0 /\ 4 >= 0 /\ a + 4 >= 0 /\ -a + 104 >= 0 /\ a - 1 >= 5 /\ a - 5 >= 0 /\ 5 >= 0 /\ a + 5 >= 0 /\ -a + 105 >= 0 /\ a - 1 >= 6 /\ a - 6 >= 0 /\ 6 >= 0 /\ a + 6 >= 0 /\ -a + 106 >= 0 /\ a - 1 >= 7 /\ a - 7 >= 0 /\ 7 >= 0 /\ a + 7 >= 0 /\ -a + 107 >= 0 /\ a - 1 >= 8 ] with all transitions in problem 15, the following new transition is obtained:
	f15(a, b, e) -> f23(a, a - 1, 9) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 /\ 1 >= 0 /\ a + 1 >= 0 /\ -a + 101 >= 0 /\ a - 1 >= 2 /\ a - 2 >= 0 /\ 2 >= 0 /\ a + 2 >= 0 /\ -a + 102 >= 0 /\ a - 1 >= 3 /\ a - 3 >= 0 /\ 3 >= 0 /\ a + 3 >= 0 /\ -a + 103 >= 0 /\ a - 1 >= 4 /\ a - 4 >= 0 /\ 4 >= 0 /\ a + 4 >= 0 /\ -a + 104 >= 0 /\ a - 1 >= 5 /\ a - 5 >= 0 /\ 5 >= 0 /\ a + 5 >= 0 /\ -a + 105 >= 0 /\ a - 1 >= 6 /\ a - 6 >= 0 /\ 6 >= 0 /\ a + 6 >= 0 /\ -a + 106 >= 0 /\ a - 1 >= 7 /\ a - 7 >= 0 /\ 7 >= 0 /\ a + 7 >= 0 /\ -a + 107 >= 0 /\ a - 1 >= 8 /\ a - 8 >= 0 /\ 8 >= 0 /\ a + 8 >= 0 /\ -a + 108 >= 0 /\ a - 1 >= 9 ]
We thus obtain the following problem:
16:	T:
		(1, 10)     f15(a, b, e) -> f23(a, a - 1, 9) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 /\ 1 >= 0 /\ a + 1 >= 0 /\ -a + 101 >= 0 /\ a - 1 >= 2 /\ a - 2 >= 0 /\ 2 >= 0 /\ a + 2 >= 0 /\ -a + 102 >= 0 /\ a - 1 >= 3 /\ a - 3 >= 0 /\ 3 >= 0 /\ a + 3 >= 0 /\ -a + 103 >= 0 /\ a - 1 >= 4 /\ a - 4 >= 0 /\ 4 >= 0 /\ a + 4 >= 0 /\ -a + 104 >= 0 /\ a - 1 >= 5 /\ a - 5 >= 0 /\ 5 >= 0 /\ a + 5 >= 0 /\ -a + 105 >= 0 /\ a - 1 >= 6 /\ a - 6 >= 0 /\ 6 >= 0 /\ a + 6 >= 0 /\ -a + 106 >= 0 /\ a - 1 >= 7 /\ a - 7 >= 0 /\ 7 >= 0 /\ a + 7 >= 0 /\ -a + 107 >= 0 /\ a - 1 >= 8 /\ a - 8 >= 0 /\ 8 >= 0 /\ a + 8 >= 0 /\ -a + 108 >= 0 /\ a - 1 >= 9 ]
		(1, 2)      f0(a, b, e) -> f16(f, 0, e) [ 100 >= f /\ f >= 1 /\ 0 >= 0 /\ f - 1 >= 0 /\ -f + 100 >= 0 ]
		(201, 1)    f15(a, b, e) -> f16(a, b, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a >= b + 1 ]
		(?, 1)      f15(a, b, e) -> f16(a, b, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ b >= a + 1 ]
		(?, 1)      f16(a, b, e) -> f15(a, b + 1, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 ]
		(?, 1)      f23(a, b, e) -> f23(a, b, e + 1) [ b - e + 1 >= 0 /\ e >= 0 /\ b + e + 1 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 100 >= 0 /\ b + 1 >= 0 /\ a + b >= 0 /\ -a + b + 101 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ b >= e + 1 ]
		(1, 1)      f16(a, b, e) -> f23(a, b - 1, 0) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 ]
	start location:	f0
	leaf cost:	3

By chaining the transition f15(a, b, e) -> f23(a, a - 1, 9) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 /\ 1 >= 0 /\ a + 1 >= 0 /\ -a + 101 >= 0 /\ a - 1 >= 2 /\ a - 2 >= 0 /\ 2 >= 0 /\ a + 2 >= 0 /\ -a + 102 >= 0 /\ a - 1 >= 3 /\ a - 3 >= 0 /\ 3 >= 0 /\ a + 3 >= 0 /\ -a + 103 >= 0 /\ a - 1 >= 4 /\ a - 4 >= 0 /\ 4 >= 0 /\ a + 4 >= 0 /\ -a + 104 >= 0 /\ a - 1 >= 5 /\ a - 5 >= 0 /\ 5 >= 0 /\ a + 5 >= 0 /\ -a + 105 >= 0 /\ a - 1 >= 6 /\ a - 6 >= 0 /\ 6 >= 0 /\ a + 6 >= 0 /\ -a + 106 >= 0 /\ a - 1 >= 7 /\ a - 7 >= 0 /\ 7 >= 0 /\ a + 7 >= 0 /\ -a + 107 >= 0 /\ a - 1 >= 8 /\ a - 8 >= 0 /\ 8 >= 0 /\ a + 8 >= 0 /\ -a + 108 >= 0 /\ a - 1 >= 9 ] with all transitions in problem 16, the following new transition is obtained:
	f15(a, b, e) -> f23(a, a - 1, 10) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 /\ 1 >= 0 /\ a + 1 >= 0 /\ -a + 101 >= 0 /\ a - 1 >= 2 /\ a - 2 >= 0 /\ 2 >= 0 /\ a + 2 >= 0 /\ -a + 102 >= 0 /\ a - 1 >= 3 /\ a - 3 >= 0 /\ 3 >= 0 /\ a + 3 >= 0 /\ -a + 103 >= 0 /\ a - 1 >= 4 /\ a - 4 >= 0 /\ 4 >= 0 /\ a + 4 >= 0 /\ -a + 104 >= 0 /\ a - 1 >= 5 /\ a - 5 >= 0 /\ 5 >= 0 /\ a + 5 >= 0 /\ -a + 105 >= 0 /\ a - 1 >= 6 /\ a - 6 >= 0 /\ 6 >= 0 /\ a + 6 >= 0 /\ -a + 106 >= 0 /\ a - 1 >= 7 /\ a - 7 >= 0 /\ 7 >= 0 /\ a + 7 >= 0 /\ -a + 107 >= 0 /\ a - 1 >= 8 /\ a - 8 >= 0 /\ 8 >= 0 /\ a + 8 >= 0 /\ -a + 108 >= 0 /\ a - 1 >= 9 /\ a - 9 >= 0 /\ 9 >= 0 /\ a + 9 >= 0 /\ -a + 109 >= 0 /\ a - 1 >= 10 ]
We thus obtain the following problem:
17:	T:
		(1, 11)     f15(a, b, e) -> f23(a, a - 1, 10) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 /\ 1 >= 0 /\ a + 1 >= 0 /\ -a + 101 >= 0 /\ a - 1 >= 2 /\ a - 2 >= 0 /\ 2 >= 0 /\ a + 2 >= 0 /\ -a + 102 >= 0 /\ a - 1 >= 3 /\ a - 3 >= 0 /\ 3 >= 0 /\ a + 3 >= 0 /\ -a + 103 >= 0 /\ a - 1 >= 4 /\ a - 4 >= 0 /\ 4 >= 0 /\ a + 4 >= 0 /\ -a + 104 >= 0 /\ a - 1 >= 5 /\ a - 5 >= 0 /\ 5 >= 0 /\ a + 5 >= 0 /\ -a + 105 >= 0 /\ a - 1 >= 6 /\ a - 6 >= 0 /\ 6 >= 0 /\ a + 6 >= 0 /\ -a + 106 >= 0 /\ a - 1 >= 7 /\ a - 7 >= 0 /\ 7 >= 0 /\ a + 7 >= 0 /\ -a + 107 >= 0 /\ a - 1 >= 8 /\ a - 8 >= 0 /\ 8 >= 0 /\ a + 8 >= 0 /\ -a + 108 >= 0 /\ a - 1 >= 9 /\ a - 9 >= 0 /\ 9 >= 0 /\ a + 9 >= 0 /\ -a + 109 >= 0 /\ a - 1 >= 10 ]
		(1, 2)      f0(a, b, e) -> f16(f, 0, e) [ 100 >= f /\ f >= 1 /\ 0 >= 0 /\ f - 1 >= 0 /\ -f + 100 >= 0 ]
		(201, 1)    f15(a, b, e) -> f16(a, b, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a >= b + 1 ]
		(?, 1)      f15(a, b, e) -> f16(a, b, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ b >= a + 1 ]
		(?, 1)      f16(a, b, e) -> f15(a, b + 1, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 ]
		(?, 1)      f23(a, b, e) -> f23(a, b, e + 1) [ b - e + 1 >= 0 /\ e >= 0 /\ b + e + 1 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 100 >= 0 /\ b + 1 >= 0 /\ a + b >= 0 /\ -a + b + 101 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ b >= e + 1 ]
		(1, 1)      f16(a, b, e) -> f23(a, b - 1, 0) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 ]
	start location:	f0
	leaf cost:	3

By chaining the transition f15(a, b, e) -> f23(a, a - 1, 10) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 /\ 1 >= 0 /\ a + 1 >= 0 /\ -a + 101 >= 0 /\ a - 1 >= 2 /\ a - 2 >= 0 /\ 2 >= 0 /\ a + 2 >= 0 /\ -a + 102 >= 0 /\ a - 1 >= 3 /\ a - 3 >= 0 /\ 3 >= 0 /\ a + 3 >= 0 /\ -a + 103 >= 0 /\ a - 1 >= 4 /\ a - 4 >= 0 /\ 4 >= 0 /\ a + 4 >= 0 /\ -a + 104 >= 0 /\ a - 1 >= 5 /\ a - 5 >= 0 /\ 5 >= 0 /\ a + 5 >= 0 /\ -a + 105 >= 0 /\ a - 1 >= 6 /\ a - 6 >= 0 /\ 6 >= 0 /\ a + 6 >= 0 /\ -a + 106 >= 0 /\ a - 1 >= 7 /\ a - 7 >= 0 /\ 7 >= 0 /\ a + 7 >= 0 /\ -a + 107 >= 0 /\ a - 1 >= 8 /\ a - 8 >= 0 /\ 8 >= 0 /\ a + 8 >= 0 /\ -a + 108 >= 0 /\ a - 1 >= 9 /\ a - 9 >= 0 /\ 9 >= 0 /\ a + 9 >= 0 /\ -a + 109 >= 0 /\ a - 1 >= 10 ] with all transitions in problem 17, the following new transition is obtained:
	f15(a, b, e) -> f23(a, a - 1, 11) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 /\ 1 >= 0 /\ a + 1 >= 0 /\ -a + 101 >= 0 /\ a - 1 >= 2 /\ a - 2 >= 0 /\ 2 >= 0 /\ a + 2 >= 0 /\ -a + 102 >= 0 /\ a - 1 >= 3 /\ a - 3 >= 0 /\ 3 >= 0 /\ a + 3 >= 0 /\ -a + 103 >= 0 /\ a - 1 >= 4 /\ a - 4 >= 0 /\ 4 >= 0 /\ a + 4 >= 0 /\ -a + 104 >= 0 /\ a - 1 >= 5 /\ a - 5 >= 0 /\ 5 >= 0 /\ a + 5 >= 0 /\ -a + 105 >= 0 /\ a - 1 >= 6 /\ a - 6 >= 0 /\ 6 >= 0 /\ a + 6 >= 0 /\ -a + 106 >= 0 /\ a - 1 >= 7 /\ a - 7 >= 0 /\ 7 >= 0 /\ a + 7 >= 0 /\ -a + 107 >= 0 /\ a - 1 >= 8 /\ a - 8 >= 0 /\ 8 >= 0 /\ a + 8 >= 0 /\ -a + 108 >= 0 /\ a - 1 >= 9 /\ a - 9 >= 0 /\ 9 >= 0 /\ a + 9 >= 0 /\ -a + 109 >= 0 /\ a - 1 >= 10 /\ a - 10 >= 0 /\ 10 >= 0 /\ a + 10 >= 0 /\ -a + 110 >= 0 /\ a - 1 >= 11 ]
We thus obtain the following problem:
18:	T:
		(1, 12)     f15(a, b, e) -> f23(a, a - 1, 11) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 /\ 1 >= 0 /\ a + 1 >= 0 /\ -a + 101 >= 0 /\ a - 1 >= 2 /\ a - 2 >= 0 /\ 2 >= 0 /\ a + 2 >= 0 /\ -a + 102 >= 0 /\ a - 1 >= 3 /\ a - 3 >= 0 /\ 3 >= 0 /\ a + 3 >= 0 /\ -a + 103 >= 0 /\ a - 1 >= 4 /\ a - 4 >= 0 /\ 4 >= 0 /\ a + 4 >= 0 /\ -a + 104 >= 0 /\ a - 1 >= 5 /\ a - 5 >= 0 /\ 5 >= 0 /\ a + 5 >= 0 /\ -a + 105 >= 0 /\ a - 1 >= 6 /\ a - 6 >= 0 /\ 6 >= 0 /\ a + 6 >= 0 /\ -a + 106 >= 0 /\ a - 1 >= 7 /\ a - 7 >= 0 /\ 7 >= 0 /\ a + 7 >= 0 /\ -a + 107 >= 0 /\ a - 1 >= 8 /\ a - 8 >= 0 /\ 8 >= 0 /\ a + 8 >= 0 /\ -a + 108 >= 0 /\ a - 1 >= 9 /\ a - 9 >= 0 /\ 9 >= 0 /\ a + 9 >= 0 /\ -a + 109 >= 0 /\ a - 1 >= 10 /\ a - 10 >= 0 /\ 10 >= 0 /\ a + 10 >= 0 /\ -a + 110 >= 0 /\ a - 1 >= 11 ]
		(1, 2)      f0(a, b, e) -> f16(f, 0, e) [ 100 >= f /\ f >= 1 /\ 0 >= 0 /\ f - 1 >= 0 /\ -f + 100 >= 0 ]
		(201, 1)    f15(a, b, e) -> f16(a, b, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a >= b + 1 ]
		(?, 1)      f15(a, b, e) -> f16(a, b, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ b >= a + 1 ]
		(?, 1)      f16(a, b, e) -> f15(a, b + 1, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 ]
		(?, 1)      f23(a, b, e) -> f23(a, b, e + 1) [ b - e + 1 >= 0 /\ e >= 0 /\ b + e + 1 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 100 >= 0 /\ b + 1 >= 0 /\ a + b >= 0 /\ -a + b + 101 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ b >= e + 1 ]
		(1, 1)      f16(a, b, e) -> f23(a, b - 1, 0) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 ]
	start location:	f0
	leaf cost:	3

By chaining the transition f15(a, b, e) -> f23(a, a - 1, 11) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 /\ 1 >= 0 /\ a + 1 >= 0 /\ -a + 101 >= 0 /\ a - 1 >= 2 /\ a - 2 >= 0 /\ 2 >= 0 /\ a + 2 >= 0 /\ -a + 102 >= 0 /\ a - 1 >= 3 /\ a - 3 >= 0 /\ 3 >= 0 /\ a + 3 >= 0 /\ -a + 103 >= 0 /\ a - 1 >= 4 /\ a - 4 >= 0 /\ 4 >= 0 /\ a + 4 >= 0 /\ -a + 104 >= 0 /\ a - 1 >= 5 /\ a - 5 >= 0 /\ 5 >= 0 /\ a + 5 >= 0 /\ -a + 105 >= 0 /\ a - 1 >= 6 /\ a - 6 >= 0 /\ 6 >= 0 /\ a + 6 >= 0 /\ -a + 106 >= 0 /\ a - 1 >= 7 /\ a - 7 >= 0 /\ 7 >= 0 /\ a + 7 >= 0 /\ -a + 107 >= 0 /\ a - 1 >= 8 /\ a - 8 >= 0 /\ 8 >= 0 /\ a + 8 >= 0 /\ -a + 108 >= 0 /\ a - 1 >= 9 /\ a - 9 >= 0 /\ 9 >= 0 /\ a + 9 >= 0 /\ -a + 109 >= 0 /\ a - 1 >= 10 /\ a - 10 >= 0 /\ 10 >= 0 /\ a + 10 >= 0 /\ -a + 110 >= 0 /\ a - 1 >= 11 ] with all transitions in problem 18, the following new transition is obtained:
	f15(a, b, e) -> f23(a, a - 1, 12) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 /\ 1 >= 0 /\ a + 1 >= 0 /\ -a + 101 >= 0 /\ a - 1 >= 2 /\ a - 2 >= 0 /\ 2 >= 0 /\ a + 2 >= 0 /\ -a + 102 >= 0 /\ a - 1 >= 3 /\ a - 3 >= 0 /\ 3 >= 0 /\ a + 3 >= 0 /\ -a + 103 >= 0 /\ a - 1 >= 4 /\ a - 4 >= 0 /\ 4 >= 0 /\ a + 4 >= 0 /\ -a + 104 >= 0 /\ a - 1 >= 5 /\ a - 5 >= 0 /\ 5 >= 0 /\ a + 5 >= 0 /\ -a + 105 >= 0 /\ a - 1 >= 6 /\ a - 6 >= 0 /\ 6 >= 0 /\ a + 6 >= 0 /\ -a + 106 >= 0 /\ a - 1 >= 7 /\ a - 7 >= 0 /\ 7 >= 0 /\ a + 7 >= 0 /\ -a + 107 >= 0 /\ a - 1 >= 8 /\ a - 8 >= 0 /\ 8 >= 0 /\ a + 8 >= 0 /\ -a + 108 >= 0 /\ a - 1 >= 9 /\ a - 9 >= 0 /\ 9 >= 0 /\ a + 9 >= 0 /\ -a + 109 >= 0 /\ a - 1 >= 10 /\ a - 10 >= 0 /\ 10 >= 0 /\ a + 10 >= 0 /\ -a + 110 >= 0 /\ a - 1 >= 11 /\ a - 11 >= 0 /\ 11 >= 0 /\ a + 11 >= 0 /\ -a + 111 >= 0 /\ a - 1 >= 12 ]
We thus obtain the following problem:
19:	T:
		(1, 13)     f15(a, b, e) -> f23(a, a - 1, 12) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 /\ 1 >= 0 /\ a + 1 >= 0 /\ -a + 101 >= 0 /\ a - 1 >= 2 /\ a - 2 >= 0 /\ 2 >= 0 /\ a + 2 >= 0 /\ -a + 102 >= 0 /\ a - 1 >= 3 /\ a - 3 >= 0 /\ 3 >= 0 /\ a + 3 >= 0 /\ -a + 103 >= 0 /\ a - 1 >= 4 /\ a - 4 >= 0 /\ 4 >= 0 /\ a + 4 >= 0 /\ -a + 104 >= 0 /\ a - 1 >= 5 /\ a - 5 >= 0 /\ 5 >= 0 /\ a + 5 >= 0 /\ -a + 105 >= 0 /\ a - 1 >= 6 /\ a - 6 >= 0 /\ 6 >= 0 /\ a + 6 >= 0 /\ -a + 106 >= 0 /\ a - 1 >= 7 /\ a - 7 >= 0 /\ 7 >= 0 /\ a + 7 >= 0 /\ -a + 107 >= 0 /\ a - 1 >= 8 /\ a - 8 >= 0 /\ 8 >= 0 /\ a + 8 >= 0 /\ -a + 108 >= 0 /\ a - 1 >= 9 /\ a - 9 >= 0 /\ 9 >= 0 /\ a + 9 >= 0 /\ -a + 109 >= 0 /\ a - 1 >= 10 /\ a - 10 >= 0 /\ 10 >= 0 /\ a + 10 >= 0 /\ -a + 110 >= 0 /\ a - 1 >= 11 /\ a - 11 >= 0 /\ 11 >= 0 /\ a + 11 >= 0 /\ -a + 111 >= 0 /\ a - 1 >= 12 ]
		(1, 2)      f0(a, b, e) -> f16(f, 0, e) [ 100 >= f /\ f >= 1 /\ 0 >= 0 /\ f - 1 >= 0 /\ -f + 100 >= 0 ]
		(201, 1)    f15(a, b, e) -> f16(a, b, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a >= b + 1 ]
		(?, 1)      f15(a, b, e) -> f16(a, b, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ b >= a + 1 ]
		(?, 1)      f16(a, b, e) -> f15(a, b + 1, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 ]
		(?, 1)      f23(a, b, e) -> f23(a, b, e + 1) [ b - e + 1 >= 0 /\ e >= 0 /\ b + e + 1 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 100 >= 0 /\ b + 1 >= 0 /\ a + b >= 0 /\ -a + b + 101 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ b >= e + 1 ]
		(1, 1)      f16(a, b, e) -> f23(a, b - 1, 0) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 ]
	start location:	f0
	leaf cost:	3

By chaining the transition f15(a, b, e) -> f23(a, a - 1, 12) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 /\ 1 >= 0 /\ a + 1 >= 0 /\ -a + 101 >= 0 /\ a - 1 >= 2 /\ a - 2 >= 0 /\ 2 >= 0 /\ a + 2 >= 0 /\ -a + 102 >= 0 /\ a - 1 >= 3 /\ a - 3 >= 0 /\ 3 >= 0 /\ a + 3 >= 0 /\ -a + 103 >= 0 /\ a - 1 >= 4 /\ a - 4 >= 0 /\ 4 >= 0 /\ a + 4 >= 0 /\ -a + 104 >= 0 /\ a - 1 >= 5 /\ a - 5 >= 0 /\ 5 >= 0 /\ a + 5 >= 0 /\ -a + 105 >= 0 /\ a - 1 >= 6 /\ a - 6 >= 0 /\ 6 >= 0 /\ a + 6 >= 0 /\ -a + 106 >= 0 /\ a - 1 >= 7 /\ a - 7 >= 0 /\ 7 >= 0 /\ a + 7 >= 0 /\ -a + 107 >= 0 /\ a - 1 >= 8 /\ a - 8 >= 0 /\ 8 >= 0 /\ a + 8 >= 0 /\ -a + 108 >= 0 /\ a - 1 >= 9 /\ a - 9 >= 0 /\ 9 >= 0 /\ a + 9 >= 0 /\ -a + 109 >= 0 /\ a - 1 >= 10 /\ a - 10 >= 0 /\ 10 >= 0 /\ a + 10 >= 0 /\ -a + 110 >= 0 /\ a - 1 >= 11 /\ a - 11 >= 0 /\ 11 >= 0 /\ a + 11 >= 0 /\ -a + 111 >= 0 /\ a - 1 >= 12 ] with all transitions in problem 19, the following new transition is obtained:
	f15(a, b, e) -> f23(a, a - 1, 13) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 /\ 1 >= 0 /\ a + 1 >= 0 /\ -a + 101 >= 0 /\ a - 1 >= 2 /\ a - 2 >= 0 /\ 2 >= 0 /\ a + 2 >= 0 /\ -a + 102 >= 0 /\ a - 1 >= 3 /\ a - 3 >= 0 /\ 3 >= 0 /\ a + 3 >= 0 /\ -a + 103 >= 0 /\ a - 1 >= 4 /\ a - 4 >= 0 /\ 4 >= 0 /\ a + 4 >= 0 /\ -a + 104 >= 0 /\ a - 1 >= 5 /\ a - 5 >= 0 /\ 5 >= 0 /\ a + 5 >= 0 /\ -a + 105 >= 0 /\ a - 1 >= 6 /\ a - 6 >= 0 /\ 6 >= 0 /\ a + 6 >= 0 /\ -a + 106 >= 0 /\ a - 1 >= 7 /\ a - 7 >= 0 /\ 7 >= 0 /\ a + 7 >= 0 /\ -a + 107 >= 0 /\ a - 1 >= 8 /\ a - 8 >= 0 /\ 8 >= 0 /\ a + 8 >= 0 /\ -a + 108 >= 0 /\ a - 1 >= 9 /\ a - 9 >= 0 /\ 9 >= 0 /\ a + 9 >= 0 /\ -a + 109 >= 0 /\ a - 1 >= 10 /\ a - 10 >= 0 /\ 10 >= 0 /\ a + 10 >= 0 /\ -a + 110 >= 0 /\ a - 1 >= 11 /\ a - 11 >= 0 /\ 11 >= 0 /\ a + 11 >= 0 /\ -a + 111 >= 0 /\ a - 1 >= 12 /\ a - 12 >= 0 /\ 12 >= 0 /\ a + 12 >= 0 /\ -a + 112 >= 0 /\ a - 1 >= 13 ]
We thus obtain the following problem:
20:	T:
		(1, 14)     f15(a, b, e) -> f23(a, a - 1, 13) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 /\ 1 >= 0 /\ a + 1 >= 0 /\ -a + 101 >= 0 /\ a - 1 >= 2 /\ a - 2 >= 0 /\ 2 >= 0 /\ a + 2 >= 0 /\ -a + 102 >= 0 /\ a - 1 >= 3 /\ a - 3 >= 0 /\ 3 >= 0 /\ a + 3 >= 0 /\ -a + 103 >= 0 /\ a - 1 >= 4 /\ a - 4 >= 0 /\ 4 >= 0 /\ a + 4 >= 0 /\ -a + 104 >= 0 /\ a - 1 >= 5 /\ a - 5 >= 0 /\ 5 >= 0 /\ a + 5 >= 0 /\ -a + 105 >= 0 /\ a - 1 >= 6 /\ a - 6 >= 0 /\ 6 >= 0 /\ a + 6 >= 0 /\ -a + 106 >= 0 /\ a - 1 >= 7 /\ a - 7 >= 0 /\ 7 >= 0 /\ a + 7 >= 0 /\ -a + 107 >= 0 /\ a - 1 >= 8 /\ a - 8 >= 0 /\ 8 >= 0 /\ a + 8 >= 0 /\ -a + 108 >= 0 /\ a - 1 >= 9 /\ a - 9 >= 0 /\ 9 >= 0 /\ a + 9 >= 0 /\ -a + 109 >= 0 /\ a - 1 >= 10 /\ a - 10 >= 0 /\ 10 >= 0 /\ a + 10 >= 0 /\ -a + 110 >= 0 /\ a - 1 >= 11 /\ a - 11 >= 0 /\ 11 >= 0 /\ a + 11 >= 0 /\ -a + 111 >= 0 /\ a - 1 >= 12 /\ a - 12 >= 0 /\ 12 >= 0 /\ a + 12 >= 0 /\ -a + 112 >= 0 /\ a - 1 >= 13 ]
		(1, 2)      f0(a, b, e) -> f16(f, 0, e) [ 100 >= f /\ f >= 1 /\ 0 >= 0 /\ f - 1 >= 0 /\ -f + 100 >= 0 ]
		(201, 1)    f15(a, b, e) -> f16(a, b, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a >= b + 1 ]
		(?, 1)      f15(a, b, e) -> f16(a, b, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ b >= a + 1 ]
		(?, 1)      f16(a, b, e) -> f15(a, b + 1, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 ]
		(?, 1)      f23(a, b, e) -> f23(a, b, e + 1) [ b - e + 1 >= 0 /\ e >= 0 /\ b + e + 1 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 100 >= 0 /\ b + 1 >= 0 /\ a + b >= 0 /\ -a + b + 101 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ b >= e + 1 ]
		(1, 1)      f16(a, b, e) -> f23(a, b - 1, 0) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 ]
	start location:	f0
	leaf cost:	3

By chaining the transition f15(a, b, e) -> f23(a, a - 1, 13) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 /\ 1 >= 0 /\ a + 1 >= 0 /\ -a + 101 >= 0 /\ a - 1 >= 2 /\ a - 2 >= 0 /\ 2 >= 0 /\ a + 2 >= 0 /\ -a + 102 >= 0 /\ a - 1 >= 3 /\ a - 3 >= 0 /\ 3 >= 0 /\ a + 3 >= 0 /\ -a + 103 >= 0 /\ a - 1 >= 4 /\ a - 4 >= 0 /\ 4 >= 0 /\ a + 4 >= 0 /\ -a + 104 >= 0 /\ a - 1 >= 5 /\ a - 5 >= 0 /\ 5 >= 0 /\ a + 5 >= 0 /\ -a + 105 >= 0 /\ a - 1 >= 6 /\ a - 6 >= 0 /\ 6 >= 0 /\ a + 6 >= 0 /\ -a + 106 >= 0 /\ a - 1 >= 7 /\ a - 7 >= 0 /\ 7 >= 0 /\ a + 7 >= 0 /\ -a + 107 >= 0 /\ a - 1 >= 8 /\ a - 8 >= 0 /\ 8 >= 0 /\ a + 8 >= 0 /\ -a + 108 >= 0 /\ a - 1 >= 9 /\ a - 9 >= 0 /\ 9 >= 0 /\ a + 9 >= 0 /\ -a + 109 >= 0 /\ a - 1 >= 10 /\ a - 10 >= 0 /\ 10 >= 0 /\ a + 10 >= 0 /\ -a + 110 >= 0 /\ a - 1 >= 11 /\ a - 11 >= 0 /\ 11 >= 0 /\ a + 11 >= 0 /\ -a + 111 >= 0 /\ a - 1 >= 12 /\ a - 12 >= 0 /\ 12 >= 0 /\ a + 12 >= 0 /\ -a + 112 >= 0 /\ a - 1 >= 13 ] with all transitions in problem 20, the following new transition is obtained:
	f15(a, b, e) -> f23(a, a - 1, 14) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 /\ 1 >= 0 /\ a + 1 >= 0 /\ -a + 101 >= 0 /\ a - 1 >= 2 /\ a - 2 >= 0 /\ 2 >= 0 /\ a + 2 >= 0 /\ -a + 102 >= 0 /\ a - 1 >= 3 /\ a - 3 >= 0 /\ 3 >= 0 /\ a + 3 >= 0 /\ -a + 103 >= 0 /\ a - 1 >= 4 /\ a - 4 >= 0 /\ 4 >= 0 /\ a + 4 >= 0 /\ -a + 104 >= 0 /\ a - 1 >= 5 /\ a - 5 >= 0 /\ 5 >= 0 /\ a + 5 >= 0 /\ -a + 105 >= 0 /\ a - 1 >= 6 /\ a - 6 >= 0 /\ 6 >= 0 /\ a + 6 >= 0 /\ -a + 106 >= 0 /\ a - 1 >= 7 /\ a - 7 >= 0 /\ 7 >= 0 /\ a + 7 >= 0 /\ -a + 107 >= 0 /\ a - 1 >= 8 /\ a - 8 >= 0 /\ 8 >= 0 /\ a + 8 >= 0 /\ -a + 108 >= 0 /\ a - 1 >= 9 /\ a - 9 >= 0 /\ 9 >= 0 /\ a + 9 >= 0 /\ -a + 109 >= 0 /\ a - 1 >= 10 /\ a - 10 >= 0 /\ 10 >= 0 /\ a + 10 >= 0 /\ -a + 110 >= 0 /\ a - 1 >= 11 /\ a - 11 >= 0 /\ 11 >= 0 /\ a + 11 >= 0 /\ -a + 111 >= 0 /\ a - 1 >= 12 /\ a - 12 >= 0 /\ 12 >= 0 /\ a + 12 >= 0 /\ -a + 112 >= 0 /\ a - 1 >= 13 /\ a - 13 >= 0 /\ 13 >= 0 /\ a + 13 >= 0 /\ -a + 113 >= 0 /\ a - 1 >= 14 ]
We thus obtain the following problem:
21:	T:
		(1, 15)     f15(a, b, e) -> f23(a, a - 1, 14) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a = b /\ a >= 0 /\ 0 >= 0 /\ 2*a - 1 >= 0 /\ 100 >= 0 /\ a - 1 >= 1 /\ 1 >= 0 /\ a + 1 >= 0 /\ -a + 101 >= 0 /\ a - 1 >= 2 /\ a - 2 >= 0 /\ 2 >= 0 /\ a + 2 >= 0 /\ -a + 102 >= 0 /\ a - 1 >= 3 /\ a - 3 >= 0 /\ 3 >= 0 /\ a + 3 >= 0 /\ -a + 103 >= 0 /\ a - 1 >= 4 /\ a - 4 >= 0 /\ 4 >= 0 /\ a + 4 >= 0 /\ -a + 104 >= 0 /\ a - 1 >= 5 /\ a - 5 >= 0 /\ 5 >= 0 /\ a + 5 >= 0 /\ -a + 105 >= 0 /\ a - 1 >= 6 /\ a - 6 >= 0 /\ 6 >= 0 /\ a + 6 >= 0 /\ -a + 106 >= 0 /\ a - 1 >= 7 /\ a - 7 >= 0 /\ 7 >= 0 /\ a + 7 >= 0 /\ -a + 107 >= 0 /\ a - 1 >= 8 /\ a - 8 >= 0 /\ 8 >= 0 /\ a + 8 >= 0 /\ -a + 108 >= 0 /\ a - 1 >= 9 /\ a - 9 >= 0 /\ 9 >= 0 /\ a + 9 >= 0 /\ -a + 109 >= 0 /\ a - 1 >= 10 /\ a - 10 >= 0 /\ 10 >= 0 /\ a + 10 >= 0 /\ -a + 110 >= 0 /\ a - 1 >= 11 /\ a - 11 >= 0 /\ 11 >= 0 /\ a + 11 >= 0 /\ -a + 111 >= 0 /\ a - 1 >= 12 /\ a - 12 >= 0 /\ 12 >= 0 /\ a + 12 >= 0 /\ -a + 112 >= 0 /\ a - 1 >= 13 /\ a - 13 >= 0 /\ 13 >= 0 /\ a + 13 >= 0 /\ -a + 113 >= 0 /\ a - 1 >= 14 ]
		(1, 2)      f0(a, b, e) -> f16(f, 0, e) [ 100 >= f /\ f >= 1 /\ 0 >= 0 /\ f - 1 >= 0 /\ -f + 100 >= 0 ]
		(201, 1)    f15(a, b, e) -> f16(a, b, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ a >= b + 1 ]
		(?, 1)      f15(a, b, e) -> f16(a, b, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ b >= a + 1 ]
		(?, 1)      f16(a, b, e) -> f15(a, b + 1, e) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 ]
		(?, 1)      f23(a, b, e) -> f23(a, b, e + 1) [ b - e + 1 >= 0 /\ e >= 0 /\ b + e + 1 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 100 >= 0 /\ b + 1 >= 0 /\ a + b >= 0 /\ -a + b + 101 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 /\ b >= e + 1 ]
		(1, 1)      f16(a, b, e) -> f23(a, b - 1, 0) [ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 100 >= 0 /\ -a + 100 >= 0 /\ a - 1 >= 0 ]
	start location:	f0
	leaf cost:	3

Complexity upper bound ?

Time: 2.916 sec (SMT: 2.614 sec)