
Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f9(Fresh_1, Fresh_1, Fresh_1, 0, Ar_4))
		(Comp: ?, Cost: 1)    f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Fresh_0)) [ Ar_2 >= Ar_3 + 1 ]
		(Comp: ?, Cost: 1)    f24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= F + 1 ]
		(Comp: ?, Cost: 1)    f24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))
		(Comp: ?, Cost: 1)    f37(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f37(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= G + 1 ]
		(Comp: ?, Cost: 1)    f37(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f37(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))
		(Comp: ?, Cost: 1)    f37(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f48(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))
		(Comp: ?, Cost: 1)    f24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f37(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))
		(Comp: ?, Cost: 1)    f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_2 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Slicing away variables that do not contribute to conditions from problem 1 leaves variables [Ar_2, Ar_3].
We thus obtain the following problem:
2:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_2, Ar_3) -> Com_1(f0(Ar_2, Ar_3)) [ 0 <= 0 ]
		(Comp: ?, Cost: 1)    f9(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f48(Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ F >= G + 1 ]
		(Comp: ?, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ 0 >= F + 1 ]
		(Comp: ?, Cost: 1)    f9(Ar_2, Ar_3) -> Com_1(f9(Ar_2, Ar_3 + 1)) [ Ar_2 >= Ar_3 + 1 ]
		(Comp: ?, Cost: 1)    f0(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 0))
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 2 produces the following problem:
3:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_2, Ar_3) -> Com_1(f0(Ar_2, Ar_3)) [ 0 <= 0 ]
		(Comp: ?, Cost: 1)    f9(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f48(Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ F >= G + 1 ]
		(Comp: ?, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ 0 >= F + 1 ]
		(Comp: ?, Cost: 1)    f9(Ar_2, Ar_3) -> Com_1(f9(Ar_2, Ar_3 + 1)) [ Ar_2 >= Ar_3 + 1 ]
		(Comp: 1, Cost: 1)    f0(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 0))
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(koat_start) = 3
	Pol(f0) = 3
	Pol(f9) = 3
	Pol(f24) = 2
	Pol(f37) = 1
	Pol(f48) = 0
orients all transitions weakly and the transitions
	f9(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ]
	f37(Ar_2, Ar_3) -> Com_1(f48(Ar_2, Ar_3))
	f24(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3))
strictly and produces the following problem:
4:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_2, Ar_3) -> Com_1(f0(Ar_2, Ar_3)) [ 0 <= 0 ]
		(Comp: 3, Cost: 1)    f9(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ]
		(Comp: 3, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3))
		(Comp: 3, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f48(Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ F >= G + 1 ]
		(Comp: ?, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ 0 >= F + 1 ]
		(Comp: ?, Cost: 1)    f9(Ar_2, Ar_3) -> Com_1(f9(Ar_2, Ar_3 + 1)) [ Ar_2 >= Ar_3 + 1 ]
		(Comp: 1, Cost: 1)    f0(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 0))
	start location:	koat_start
	leaf cost:	0

Applied AI with 'oct' on problem 4 to obtain the following invariants:
  For symbol f24: X_2 >= 0 /\ -X_1 + X_2 >= 0
  For symbol f37: X_2 >= 0 /\ -X_1 + X_2 >= 0
  For symbol f9: X_2 >= 0


This yielded the following problem:
5:	T:
		(Comp: 1, Cost: 1)    f0(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 0))
		(Comp: ?, Cost: 1)    f9(Ar_2, Ar_3) -> Com_1(f9(Ar_2, Ar_3 + 1)) [ Ar_3 >= 0 /\ Ar_2 >= Ar_3 + 1 ]
		(Comp: ?, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ 0 >= F + 1 ]
		(Comp: ?, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ F >= G + 1 ]
		(Comp: ?, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: 3, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f48(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: 3, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: 3, Cost: 1)    f9(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_2, Ar_3) -> Com_1(f0(Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_2, Ar_3) -> Com_1(f0(Ar_2, Ar_3)) [ 0 <= 0 ] with all transitions in problem 5, the following new transition is obtained:
	koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 0)) [ 0 <= 0 ]
We thus obtain the following problem:
6:	T:
		(Comp: 1, Cost: 1)    koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 0)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)    f0(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 0))
		(Comp: ?, Cost: 1)    f9(Ar_2, Ar_3) -> Com_1(f9(Ar_2, Ar_3 + 1)) [ Ar_3 >= 0 /\ Ar_2 >= Ar_3 + 1 ]
		(Comp: ?, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ 0 >= F + 1 ]
		(Comp: ?, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ F >= G + 1 ]
		(Comp: ?, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: 3, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f48(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: 3, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: 3, Cost: 1)    f9(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 6:
	f0(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 0))
We thus obtain the following problem:
7:	T:
		(Comp: 3, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f48(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ F >= G + 1 ]
		(Comp: 3, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ 0 >= F + 1 ]
		(Comp: 3, Cost: 1)    f9(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f9(Ar_2, Ar_3) -> Com_1(f9(Ar_2, Ar_3 + 1)) [ Ar_3 >= 0 /\ Ar_2 >= Ar_3 + 1 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 0)) [ 0 <= 0 ] with all transitions in problem 7, the following new transitions are obtained:
	koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 0)) [ 0 <= 0 /\ 0 >= 0 /\ 0 >= Fresh_1 ]
	koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 1)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 ]
We thus obtain the following problem:
8:	T:
		(Comp: 1, Cost: 2)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 0)) [ 0 <= 0 /\ 0 >= 0 /\ 0 >= Fresh_1 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 1)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 ]
		(Comp: 3, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f48(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ F >= G + 1 ]
		(Comp: 3, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ 0 >= F + 1 ]
		(Comp: 3, Cost: 1)    f9(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f9(Ar_2, Ar_3) -> Com_1(f9(Ar_2, Ar_3 + 1)) [ Ar_3 >= 0 /\ Ar_2 >= Ar_3 + 1 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 1)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 ] with all transitions in problem 8, the following new transitions are obtained:
	koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 1)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ 1 >= Fresh_1 ]
	koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 2)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 ]
We thus obtain the following problem:
9:	T:
		(Comp: 1, Cost: 3)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 1)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ 1 >= Fresh_1 ]
		(Comp: 1, Cost: 3)    koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 2)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 0)) [ 0 <= 0 /\ 0 >= 0 /\ 0 >= Fresh_1 ]
		(Comp: 3, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f48(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ F >= G + 1 ]
		(Comp: 3, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ 0 >= F + 1 ]
		(Comp: 3, Cost: 1)    f9(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f9(Ar_2, Ar_3) -> Com_1(f9(Ar_2, Ar_3 + 1)) [ Ar_3 >= 0 /\ Ar_2 >= Ar_3 + 1 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 2)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 ] with all transitions in problem 9, the following new transitions are obtained:
	koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 2)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ 2 >= Fresh_1 ]
	koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 3)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 ]
We thus obtain the following problem:
10:	T:
		(Comp: 1, Cost: 4)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 2)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ 2 >= Fresh_1 ]
		(Comp: 1, Cost: 4)    koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 3)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 ]
		(Comp: 1, Cost: 3)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 1)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ 1 >= Fresh_1 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 0)) [ 0 <= 0 /\ 0 >= 0 /\ 0 >= Fresh_1 ]
		(Comp: 3, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f48(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ F >= G + 1 ]
		(Comp: 3, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ 0 >= F + 1 ]
		(Comp: 3, Cost: 1)    f9(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f9(Ar_2, Ar_3) -> Com_1(f9(Ar_2, Ar_3 + 1)) [ Ar_3 >= 0 /\ Ar_2 >= Ar_3 + 1 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 3)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 ] with all transitions in problem 10, the following new transitions are obtained:
	koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 3)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ 3 >= Fresh_1 ]
	koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 4)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 ]
We thus obtain the following problem:
11:	T:
		(Comp: 1, Cost: 5)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 3)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ 3 >= Fresh_1 ]
		(Comp: 1, Cost: 5)    koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 4)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 ]
		(Comp: 1, Cost: 4)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 2)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ 2 >= Fresh_1 ]
		(Comp: 1, Cost: 3)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 1)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ 1 >= Fresh_1 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 0)) [ 0 <= 0 /\ 0 >= 0 /\ 0 >= Fresh_1 ]
		(Comp: 3, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f48(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ F >= G + 1 ]
		(Comp: 3, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ 0 >= F + 1 ]
		(Comp: 3, Cost: 1)    f9(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f9(Ar_2, Ar_3) -> Com_1(f9(Ar_2, Ar_3 + 1)) [ Ar_3 >= 0 /\ Ar_2 >= Ar_3 + 1 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 4)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 ] with all transitions in problem 11, the following new transitions are obtained:
	koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 4)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ 4 >= Fresh_1 ]
	koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 5)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 ]
We thus obtain the following problem:
12:	T:
		(Comp: 1, Cost: 6)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 4)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ 4 >= Fresh_1 ]
		(Comp: 1, Cost: 6)    koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 5)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 ]
		(Comp: 1, Cost: 5)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 3)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ 3 >= Fresh_1 ]
		(Comp: 1, Cost: 4)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 2)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ 2 >= Fresh_1 ]
		(Comp: 1, Cost: 3)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 1)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ 1 >= Fresh_1 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 0)) [ 0 <= 0 /\ 0 >= 0 /\ 0 >= Fresh_1 ]
		(Comp: 3, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f48(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ F >= G + 1 ]
		(Comp: 3, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ 0 >= F + 1 ]
		(Comp: 3, Cost: 1)    f9(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f9(Ar_2, Ar_3) -> Com_1(f9(Ar_2, Ar_3 + 1)) [ Ar_3 >= 0 /\ Ar_2 >= Ar_3 + 1 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 5)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 ] with all transitions in problem 12, the following new transitions are obtained:
	koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 5)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ 5 >= Fresh_1 ]
	koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 6)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 ]
We thus obtain the following problem:
13:	T:
		(Comp: 1, Cost: 7)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 5)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ 5 >= Fresh_1 ]
		(Comp: 1, Cost: 7)    koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 6)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 ]
		(Comp: 1, Cost: 6)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 4)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ 4 >= Fresh_1 ]
		(Comp: 1, Cost: 5)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 3)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ 3 >= Fresh_1 ]
		(Comp: 1, Cost: 4)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 2)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ 2 >= Fresh_1 ]
		(Comp: 1, Cost: 3)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 1)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ 1 >= Fresh_1 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 0)) [ 0 <= 0 /\ 0 >= 0 /\ 0 >= Fresh_1 ]
		(Comp: 3, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f48(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ F >= G + 1 ]
		(Comp: 3, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ 0 >= F + 1 ]
		(Comp: 3, Cost: 1)    f9(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f9(Ar_2, Ar_3) -> Com_1(f9(Ar_2, Ar_3 + 1)) [ Ar_3 >= 0 /\ Ar_2 >= Ar_3 + 1 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 6)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 ] with all transitions in problem 13, the following new transitions are obtained:
	koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 6)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ 6 >= Fresh_1 ]
	koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 7)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 ]
We thus obtain the following problem:
14:	T:
		(Comp: 1, Cost: 8)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 6)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ 6 >= Fresh_1 ]
		(Comp: 1, Cost: 8)    koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 7)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 ]
		(Comp: 1, Cost: 7)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 5)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ 5 >= Fresh_1 ]
		(Comp: 1, Cost: 6)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 4)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ 4 >= Fresh_1 ]
		(Comp: 1, Cost: 5)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 3)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ 3 >= Fresh_1 ]
		(Comp: 1, Cost: 4)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 2)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ 2 >= Fresh_1 ]
		(Comp: 1, Cost: 3)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 1)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ 1 >= Fresh_1 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 0)) [ 0 <= 0 /\ 0 >= 0 /\ 0 >= Fresh_1 ]
		(Comp: 3, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f48(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ F >= G + 1 ]
		(Comp: 3, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ 0 >= F + 1 ]
		(Comp: 3, Cost: 1)    f9(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f9(Ar_2, Ar_3) -> Com_1(f9(Ar_2, Ar_3 + 1)) [ Ar_3 >= 0 /\ Ar_2 >= Ar_3 + 1 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 7)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 ] with all transitions in problem 14, the following new transitions are obtained:
	koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 7)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ 7 >= Fresh_1 ]
	koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 8)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 ]
We thus obtain the following problem:
15:	T:
		(Comp: 1, Cost: 9)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 7)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ 7 >= Fresh_1 ]
		(Comp: 1, Cost: 9)    koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 8)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 ]
		(Comp: 1, Cost: 8)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 6)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ 6 >= Fresh_1 ]
		(Comp: 1, Cost: 7)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 5)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ 5 >= Fresh_1 ]
		(Comp: 1, Cost: 6)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 4)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ 4 >= Fresh_1 ]
		(Comp: 1, Cost: 5)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 3)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ 3 >= Fresh_1 ]
		(Comp: 1, Cost: 4)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 2)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ 2 >= Fresh_1 ]
		(Comp: 1, Cost: 3)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 1)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ 1 >= Fresh_1 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 0)) [ 0 <= 0 /\ 0 >= 0 /\ 0 >= Fresh_1 ]
		(Comp: 3, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f48(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)    f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ F >= G + 1 ]
		(Comp: 3, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)    f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ 0 >= F + 1 ]
		(Comp: 3, Cost: 1)    f9(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f9(Ar_2, Ar_3) -> Com_1(f9(Ar_2, Ar_3 + 1)) [ Ar_3 >= 0 /\ Ar_2 >= Ar_3 + 1 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 8)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 ] with all transitions in problem 15, the following new transitions are obtained:
	koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 8)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ 8 >= Fresh_1 ]
	koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 9)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ Fresh_1 >= 9 ]
We thus obtain the following problem:
16:	T:
		(Comp: 1, Cost: 10)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 8)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ 8 >= Fresh_1 ]
		(Comp: 1, Cost: 10)    koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 9)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ Fresh_1 >= 9 ]
		(Comp: 1, Cost: 9)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 7)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ 7 >= Fresh_1 ]
		(Comp: 1, Cost: 8)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 6)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ 6 >= Fresh_1 ]
		(Comp: 1, Cost: 7)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 5)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ 5 >= Fresh_1 ]
		(Comp: 1, Cost: 6)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 4)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ 4 >= Fresh_1 ]
		(Comp: 1, Cost: 5)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 3)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ 3 >= Fresh_1 ]
		(Comp: 1, Cost: 4)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 2)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ 2 >= Fresh_1 ]
		(Comp: 1, Cost: 3)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 1)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ 1 >= Fresh_1 ]
		(Comp: 1, Cost: 2)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 0)) [ 0 <= 0 /\ 0 >= 0 /\ 0 >= Fresh_1 ]
		(Comp: 3, Cost: 1)     f37(Ar_2, Ar_3) -> Com_1(f48(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)     f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)     f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ F >= G + 1 ]
		(Comp: 3, Cost: 1)     f24(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)     f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)     f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ 0 >= F + 1 ]
		(Comp: 3, Cost: 1)     f9(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 ]
		(Comp: ?, Cost: 1)     f9(Ar_2, Ar_3) -> Com_1(f9(Ar_2, Ar_3 + 1)) [ Ar_3 >= 0 /\ Ar_2 >= Ar_3 + 1 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 9)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ Fresh_1 >= 9 ] with all transitions in problem 16, the following new transitions are obtained:
	koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 9)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ Fresh_1 >= 9 /\ 9 >= 0 /\ 9 >= Fresh_1 ]
	koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 10)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ Fresh_1 >= 9 /\ 9 >= 0 /\ Fresh_1 >= 10 ]
We thus obtain the following problem:
17:	T:
		(Comp: 1, Cost: 11)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 9)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ Fresh_1 >= 9 /\ 9 >= 0 /\ 9 >= Fresh_1 ]
		(Comp: 1, Cost: 11)    koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 10)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ Fresh_1 >= 9 /\ 9 >= 0 /\ Fresh_1 >= 10 ]
		(Comp: 1, Cost: 10)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 8)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ 8 >= Fresh_1 ]
		(Comp: 1, Cost: 9)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 7)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ 7 >= Fresh_1 ]
		(Comp: 1, Cost: 8)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 6)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ 6 >= Fresh_1 ]
		(Comp: 1, Cost: 7)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 5)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ 5 >= Fresh_1 ]
		(Comp: 1, Cost: 6)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 4)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ 4 >= Fresh_1 ]
		(Comp: 1, Cost: 5)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 3)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ 3 >= Fresh_1 ]
		(Comp: 1, Cost: 4)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 2)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ 2 >= Fresh_1 ]
		(Comp: 1, Cost: 3)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 1)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ 1 >= Fresh_1 ]
		(Comp: 1, Cost: 2)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 0)) [ 0 <= 0 /\ 0 >= 0 /\ 0 >= Fresh_1 ]
		(Comp: 3, Cost: 1)     f37(Ar_2, Ar_3) -> Com_1(f48(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)     f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)     f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ F >= G + 1 ]
		(Comp: 3, Cost: 1)     f24(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)     f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)     f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ 0 >= F + 1 ]
		(Comp: 3, Cost: 1)     f9(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 ]
		(Comp: ?, Cost: 1)     f9(Ar_2, Ar_3) -> Com_1(f9(Ar_2, Ar_3 + 1)) [ Ar_3 >= 0 /\ Ar_2 >= Ar_3 + 1 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 10)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ Fresh_1 >= 9 /\ 9 >= 0 /\ Fresh_1 >= 10 ] with all transitions in problem 17, the following new transitions are obtained:
	koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 10)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ Fresh_1 >= 9 /\ 9 >= 0 /\ Fresh_1 >= 10 /\ 10 >= 0 /\ 10 >= Fresh_1 ]
	koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 11)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ Fresh_1 >= 9 /\ 9 >= 0 /\ Fresh_1 >= 10 /\ 10 >= 0 /\ Fresh_1 >= 11 ]
We thus obtain the following problem:
18:	T:
		(Comp: 1, Cost: 12)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 10)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ Fresh_1 >= 9 /\ 9 >= 0 /\ Fresh_1 >= 10 /\ 10 >= 0 /\ 10 >= Fresh_1 ]
		(Comp: 1, Cost: 12)    koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 11)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ Fresh_1 >= 9 /\ 9 >= 0 /\ Fresh_1 >= 10 /\ 10 >= 0 /\ Fresh_1 >= 11 ]
		(Comp: 1, Cost: 11)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 9)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ Fresh_1 >= 9 /\ 9 >= 0 /\ 9 >= Fresh_1 ]
		(Comp: 1, Cost: 10)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 8)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ 8 >= Fresh_1 ]
		(Comp: 1, Cost: 9)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 7)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ 7 >= Fresh_1 ]
		(Comp: 1, Cost: 8)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 6)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ 6 >= Fresh_1 ]
		(Comp: 1, Cost: 7)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 5)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ 5 >= Fresh_1 ]
		(Comp: 1, Cost: 6)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 4)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ 4 >= Fresh_1 ]
		(Comp: 1, Cost: 5)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 3)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ 3 >= Fresh_1 ]
		(Comp: 1, Cost: 4)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 2)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ 2 >= Fresh_1 ]
		(Comp: 1, Cost: 3)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 1)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ 1 >= Fresh_1 ]
		(Comp: 1, Cost: 2)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 0)) [ 0 <= 0 /\ 0 >= 0 /\ 0 >= Fresh_1 ]
		(Comp: 3, Cost: 1)     f37(Ar_2, Ar_3) -> Com_1(f48(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)     f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)     f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ F >= G + 1 ]
		(Comp: 3, Cost: 1)     f24(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)     f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)     f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ 0 >= F + 1 ]
		(Comp: 3, Cost: 1)     f9(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 ]
		(Comp: ?, Cost: 1)     f9(Ar_2, Ar_3) -> Com_1(f9(Ar_2, Ar_3 + 1)) [ Ar_3 >= 0 /\ Ar_2 >= Ar_3 + 1 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 11)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ Fresh_1 >= 9 /\ 9 >= 0 /\ Fresh_1 >= 10 /\ 10 >= 0 /\ Fresh_1 >= 11 ] with all transitions in problem 18, the following new transitions are obtained:
	koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 11)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ Fresh_1 >= 9 /\ 9 >= 0 /\ Fresh_1 >= 10 /\ 10 >= 0 /\ Fresh_1 >= 11 /\ 11 >= 0 /\ 11 >= Fresh_1 ]
	koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 12)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ Fresh_1 >= 9 /\ 9 >= 0 /\ Fresh_1 >= 10 /\ 10 >= 0 /\ Fresh_1 >= 11 /\ 11 >= 0 /\ Fresh_1 >= 12 ]
We thus obtain the following problem:
19:	T:
		(Comp: 1, Cost: 13)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 11)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ Fresh_1 >= 9 /\ 9 >= 0 /\ Fresh_1 >= 10 /\ 10 >= 0 /\ Fresh_1 >= 11 /\ 11 >= 0 /\ 11 >= Fresh_1 ]
		(Comp: 1, Cost: 13)    koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 12)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ Fresh_1 >= 9 /\ 9 >= 0 /\ Fresh_1 >= 10 /\ 10 >= 0 /\ Fresh_1 >= 11 /\ 11 >= 0 /\ Fresh_1 >= 12 ]
		(Comp: 1, Cost: 12)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 10)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ Fresh_1 >= 9 /\ 9 >= 0 /\ Fresh_1 >= 10 /\ 10 >= 0 /\ 10 >= Fresh_1 ]
		(Comp: 1, Cost: 11)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 9)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ Fresh_1 >= 9 /\ 9 >= 0 /\ 9 >= Fresh_1 ]
		(Comp: 1, Cost: 10)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 8)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ 8 >= Fresh_1 ]
		(Comp: 1, Cost: 9)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 7)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ 7 >= Fresh_1 ]
		(Comp: 1, Cost: 8)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 6)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ 6 >= Fresh_1 ]
		(Comp: 1, Cost: 7)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 5)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ 5 >= Fresh_1 ]
		(Comp: 1, Cost: 6)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 4)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ 4 >= Fresh_1 ]
		(Comp: 1, Cost: 5)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 3)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ 3 >= Fresh_1 ]
		(Comp: 1, Cost: 4)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 2)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ 2 >= Fresh_1 ]
		(Comp: 1, Cost: 3)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 1)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ 1 >= Fresh_1 ]
		(Comp: 1, Cost: 2)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 0)) [ 0 <= 0 /\ 0 >= 0 /\ 0 >= Fresh_1 ]
		(Comp: 3, Cost: 1)     f37(Ar_2, Ar_3) -> Com_1(f48(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)     f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)     f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ F >= G + 1 ]
		(Comp: 3, Cost: 1)     f24(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)     f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)     f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ 0 >= F + 1 ]
		(Comp: 3, Cost: 1)     f9(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 ]
		(Comp: ?, Cost: 1)     f9(Ar_2, Ar_3) -> Com_1(f9(Ar_2, Ar_3 + 1)) [ Ar_3 >= 0 /\ Ar_2 >= Ar_3 + 1 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 12)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ Fresh_1 >= 9 /\ 9 >= 0 /\ Fresh_1 >= 10 /\ 10 >= 0 /\ Fresh_1 >= 11 /\ 11 >= 0 /\ Fresh_1 >= 12 ] with all transitions in problem 19, the following new transitions are obtained:
	koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 12)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ Fresh_1 >= 9 /\ 9 >= 0 /\ Fresh_1 >= 10 /\ 10 >= 0 /\ Fresh_1 >= 11 /\ 11 >= 0 /\ Fresh_1 >= 12 /\ 12 >= 0 /\ 12 >= Fresh_1 ]
	koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 13)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ Fresh_1 >= 9 /\ 9 >= 0 /\ Fresh_1 >= 10 /\ 10 >= 0 /\ Fresh_1 >= 11 /\ 11 >= 0 /\ Fresh_1 >= 12 /\ 12 >= 0 /\ Fresh_1 >= 13 ]
We thus obtain the following problem:
20:	T:
		(Comp: 1, Cost: 14)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 12)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ Fresh_1 >= 9 /\ 9 >= 0 /\ Fresh_1 >= 10 /\ 10 >= 0 /\ Fresh_1 >= 11 /\ 11 >= 0 /\ Fresh_1 >= 12 /\ 12 >= 0 /\ 12 >= Fresh_1 ]
		(Comp: 1, Cost: 14)    koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 13)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ Fresh_1 >= 9 /\ 9 >= 0 /\ Fresh_1 >= 10 /\ 10 >= 0 /\ Fresh_1 >= 11 /\ 11 >= 0 /\ Fresh_1 >= 12 /\ 12 >= 0 /\ Fresh_1 >= 13 ]
		(Comp: 1, Cost: 13)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 11)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ Fresh_1 >= 9 /\ 9 >= 0 /\ Fresh_1 >= 10 /\ 10 >= 0 /\ Fresh_1 >= 11 /\ 11 >= 0 /\ 11 >= Fresh_1 ]
		(Comp: 1, Cost: 12)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 10)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ Fresh_1 >= 9 /\ 9 >= 0 /\ Fresh_1 >= 10 /\ 10 >= 0 /\ 10 >= Fresh_1 ]
		(Comp: 1, Cost: 11)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 9)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ Fresh_1 >= 9 /\ 9 >= 0 /\ 9 >= Fresh_1 ]
		(Comp: 1, Cost: 10)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 8)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ 8 >= Fresh_1 ]
		(Comp: 1, Cost: 9)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 7)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ 7 >= Fresh_1 ]
		(Comp: 1, Cost: 8)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 6)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ 6 >= Fresh_1 ]
		(Comp: 1, Cost: 7)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 5)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ 5 >= Fresh_1 ]
		(Comp: 1, Cost: 6)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 4)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ 4 >= Fresh_1 ]
		(Comp: 1, Cost: 5)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 3)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ 3 >= Fresh_1 ]
		(Comp: 1, Cost: 4)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 2)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ 2 >= Fresh_1 ]
		(Comp: 1, Cost: 3)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 1)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ 1 >= Fresh_1 ]
		(Comp: 1, Cost: 2)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 0)) [ 0 <= 0 /\ 0 >= 0 /\ 0 >= Fresh_1 ]
		(Comp: 3, Cost: 1)     f37(Ar_2, Ar_3) -> Com_1(f48(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)     f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)     f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ F >= G + 1 ]
		(Comp: 3, Cost: 1)     f24(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)     f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)     f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ 0 >= F + 1 ]
		(Comp: 3, Cost: 1)     f9(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 ]
		(Comp: ?, Cost: 1)     f9(Ar_2, Ar_3) -> Com_1(f9(Ar_2, Ar_3 + 1)) [ Ar_3 >= 0 /\ Ar_2 >= Ar_3 + 1 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 13)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ Fresh_1 >= 9 /\ 9 >= 0 /\ Fresh_1 >= 10 /\ 10 >= 0 /\ Fresh_1 >= 11 /\ 11 >= 0 /\ Fresh_1 >= 12 /\ 12 >= 0 /\ Fresh_1 >= 13 ] with all transitions in problem 20, the following new transitions are obtained:
	koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 13)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ Fresh_1 >= 9 /\ 9 >= 0 /\ Fresh_1 >= 10 /\ 10 >= 0 /\ Fresh_1 >= 11 /\ 11 >= 0 /\ Fresh_1 >= 12 /\ 12 >= 0 /\ Fresh_1 >= 13 /\ 13 >= 0 /\ 13 >= Fresh_1 ]
	koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 14)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ Fresh_1 >= 9 /\ 9 >= 0 /\ Fresh_1 >= 10 /\ 10 >= 0 /\ Fresh_1 >= 11 /\ 11 >= 0 /\ Fresh_1 >= 12 /\ 12 >= 0 /\ Fresh_1 >= 13 /\ 13 >= 0 /\ Fresh_1 >= 14 ]
We thus obtain the following problem:
21:	T:
		(Comp: 1, Cost: 15)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 13)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ Fresh_1 >= 9 /\ 9 >= 0 /\ Fresh_1 >= 10 /\ 10 >= 0 /\ Fresh_1 >= 11 /\ 11 >= 0 /\ Fresh_1 >= 12 /\ 12 >= 0 /\ Fresh_1 >= 13 /\ 13 >= 0 /\ 13 >= Fresh_1 ]
		(Comp: 1, Cost: 15)    koat_start(Ar_2, Ar_3) -> Com_1(f9(Fresh_1, 14)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ Fresh_1 >= 9 /\ 9 >= 0 /\ Fresh_1 >= 10 /\ 10 >= 0 /\ Fresh_1 >= 11 /\ 11 >= 0 /\ Fresh_1 >= 12 /\ 12 >= 0 /\ Fresh_1 >= 13 /\ 13 >= 0 /\ Fresh_1 >= 14 ]
		(Comp: 1, Cost: 14)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 12)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ Fresh_1 >= 9 /\ 9 >= 0 /\ Fresh_1 >= 10 /\ 10 >= 0 /\ Fresh_1 >= 11 /\ 11 >= 0 /\ Fresh_1 >= 12 /\ 12 >= 0 /\ 12 >= Fresh_1 ]
		(Comp: 1, Cost: 13)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 11)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ Fresh_1 >= 9 /\ 9 >= 0 /\ Fresh_1 >= 10 /\ 10 >= 0 /\ Fresh_1 >= 11 /\ 11 >= 0 /\ 11 >= Fresh_1 ]
		(Comp: 1, Cost: 12)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 10)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ Fresh_1 >= 9 /\ 9 >= 0 /\ Fresh_1 >= 10 /\ 10 >= 0 /\ 10 >= Fresh_1 ]
		(Comp: 1, Cost: 11)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 9)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ Fresh_1 >= 9 /\ 9 >= 0 /\ 9 >= Fresh_1 ]
		(Comp: 1, Cost: 10)    koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 8)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ Fresh_1 >= 8 /\ 8 >= 0 /\ 8 >= Fresh_1 ]
		(Comp: 1, Cost: 9)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 7)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ Fresh_1 >= 7 /\ 7 >= 0 /\ 7 >= Fresh_1 ]
		(Comp: 1, Cost: 8)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 6)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ Fresh_1 >= 6 /\ 6 >= 0 /\ 6 >= Fresh_1 ]
		(Comp: 1, Cost: 7)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 5)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ Fresh_1 >= 5 /\ 5 >= 0 /\ 5 >= Fresh_1 ]
		(Comp: 1, Cost: 6)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 4)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ Fresh_1 >= 4 /\ 4 >= 0 /\ 4 >= Fresh_1 ]
		(Comp: 1, Cost: 5)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 3)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ Fresh_1 >= 3 /\ 3 >= 0 /\ 3 >= Fresh_1 ]
		(Comp: 1, Cost: 4)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 2)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ Fresh_1 >= 2 /\ 2 >= 0 /\ 2 >= Fresh_1 ]
		(Comp: 1, Cost: 3)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 1)) [ 0 <= 0 /\ 0 >= 0 /\ Fresh_1 >= 1 /\ 1 >= 0 /\ 1 >= Fresh_1 ]
		(Comp: 1, Cost: 2)     koat_start(Ar_2, Ar_3) -> Com_1(f24(Fresh_1, 0)) [ 0 <= 0 /\ 0 >= 0 /\ 0 >= Fresh_1 ]
		(Comp: 3, Cost: 1)     f37(Ar_2, Ar_3) -> Com_1(f48(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)     f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)     f37(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ F >= G + 1 ]
		(Comp: 3, Cost: 1)     f24(Ar_2, Ar_3) -> Com_1(f37(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)     f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)     f24(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ 0 >= F + 1 ]
		(Comp: 3, Cost: 1)     f9(Ar_2, Ar_3) -> Com_1(f24(Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 ]
		(Comp: ?, Cost: 1)     f9(Ar_2, Ar_3) -> Com_1(f9(Ar_2, Ar_3 + 1)) [ Ar_3 >= 0 /\ Ar_2 >= Ar_3 + 1 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound ?

Time: 0.316 sec (SMT: 0.234 sec)
