
Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 0, 0, Ar_3, Ar_4, Ar_5))
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_2, Ar_2, Ar_5))
		(Comp: ?, Cost: 1)    f7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(Ar_0, Ar_1 + 1, Fresh_4, Fresh_5, Ar_4, Fresh_4))
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(Ar_0, Ar_1 + 1, Fresh_2, Fresh_3, Ar_4, Fresh_2))
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(Ar_0, Ar_1 + 1, Fresh_0, Fresh_1, Ar_4, Fresh_0))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transitions from problem 1:
	f7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(Ar_0, Ar_1 + 1, Fresh_4, Fresh_5, Ar_4, Fresh_4))
	f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(Ar_0, Ar_1 + 1, Fresh_0, Fresh_1, Ar_4, Fresh_0))
We thus obtain the following problem:
2:	T:
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(Ar_0, Ar_1 + 1, Fresh_2, Fresh_3, Ar_4, Fresh_2))
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_2, Ar_2, Ar_5))
		(Comp: ?, Cost: 1)    f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 0, 0, Ar_3, Ar_4, Ar_5))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 2 produces the following problem:
3:	T:
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(Ar_0, Ar_1 + 1, Fresh_2, Fresh_3, Ar_4, Fresh_2))
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_2, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)    f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 0, 0, Ar_3, Ar_4, Ar_5))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(f4) = 1
	Pol(f9) = 0
	Pol(f10) = 1
	Pol(koat_start) = 1
orients all transitions weakly and the transition
	f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_2, Ar_2, Ar_5))
strictly and produces the following problem:
4:	T:
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(Ar_0, Ar_1 + 1, Fresh_2, Fresh_3, Ar_4, Fresh_2))
		(Comp: 1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_2, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)    f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 0, 0, Ar_3, Ar_4, Ar_5))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Applied AI with 'oct' on problem 4 to obtain the following invariants:
  For symbol f4: X_2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ -X_1 + X_2 + 4 >= 0 /\ -X_1 + 4 >= 0 /\ X_1 - 4 >= 0


This yielded the following problem:
5:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)    f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 0, 0, Ar_3, Ar_4, Ar_5))
		(Comp: 1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_2, Ar_2, Ar_5)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_0 - 4 >= 0 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(Ar_0, Ar_1 + 1, Fresh_2, Fresh_3, Ar_4, Fresh_2)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_0 - 4 >= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ] with all transitions in problem 5, the following new transition is obtained:
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 0, 0, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]
We thus obtain the following problem:
6:	T:
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 0, 0, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)    f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 0, 0, Ar_3, Ar_4, Ar_5))
		(Comp: 1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_2, Ar_2, Ar_5)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_0 - 4 >= 0 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(Ar_0, Ar_1 + 1, Fresh_2, Fresh_3, Ar_4, Fresh_2)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_0 - 4 >= 0 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 6:
	f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 0, 0, Ar_3, Ar_4, Ar_5))
We thus obtain the following problem:
7:	T:
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(Ar_0, Ar_1 + 1, Fresh_2, Fresh_3, Ar_4, Fresh_2)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_0 - 4 >= 0 ]
		(Comp: 1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_2, Ar_2, Ar_5)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_0 - 4 >= 0 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 0, 0, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 0, 0, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ] with all transitions in problem 7, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 1, Fresh_2, Fresh_3, Ar_4, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 ]
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 0, 0, 0, 0, Ar_5)) [ 0 <= 0 /\ 0 >= 0 ]
We thus obtain the following problem:
8:	T:
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 1, Fresh_2, Fresh_3, Ar_4, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 0, 0, 0, 0, Ar_5)) [ 0 <= 0 /\ 0 >= 0 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(Ar_0, Ar_1 + 1, Fresh_2, Fresh_3, Ar_4, Fresh_2)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_0 - 4 >= 0 ]
		(Comp: 1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_2, Ar_2, Ar_5)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_0 - 4 >= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 1, Fresh_2, Fresh_3, Ar_4, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 ] with all transitions in problem 8, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 2, Fresh_2', Fresh_3', Ar_4, Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 ]
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 1, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 ]
We thus obtain the following problem:
9:	T:
		(Comp: 1, Cost: 3)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 2, Fresh_2', Fresh_3', Ar_4, Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 ]
		(Comp: 1, Cost: 3)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 1, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 0, 0, 0, 0, Ar_5)) [ 0 <= 0 /\ 0 >= 0 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(Ar_0, Ar_1 + 1, Fresh_2, Fresh_3, Ar_4, Fresh_2)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_0 - 4 >= 0 ]
		(Comp: 1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_2, Ar_2, Ar_5)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_0 - 4 >= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 2, Fresh_2', Fresh_3', Ar_4, Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 ] with all transitions in problem 9, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 3, Fresh_2, Fresh_3, Ar_4, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 ]
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 2, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 ]
We thus obtain the following problem:
10:	T:
		(Comp: 1, Cost: 4)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 3, Fresh_2, Fresh_3, Ar_4, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 ]
		(Comp: 1, Cost: 4)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 2, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 ]
		(Comp: 1, Cost: 3)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 1, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 0, 0, 0, 0, Ar_5)) [ 0 <= 0 /\ 0 >= 0 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(Ar_0, Ar_1 + 1, Fresh_2, Fresh_3, Ar_4, Fresh_2)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_0 - 4 >= 0 ]
		(Comp: 1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_2, Ar_2, Ar_5)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_0 - 4 >= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 3, Fresh_2, Fresh_3, Ar_4, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 ] with all transitions in problem 10, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 4, Fresh_2', Fresh_3', Ar_4, Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 ]
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 3, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 ]
We thus obtain the following problem:
11:	T:
		(Comp: 1, Cost: 5)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 4, Fresh_2', Fresh_3', Ar_4, Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 ]
		(Comp: 1, Cost: 5)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 3, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 ]
		(Comp: 1, Cost: 4)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 2, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 ]
		(Comp: 1, Cost: 3)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 1, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 0, 0, 0, 0, Ar_5)) [ 0 <= 0 /\ 0 >= 0 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(Ar_0, Ar_1 + 1, Fresh_2, Fresh_3, Ar_4, Fresh_2)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_0 - 4 >= 0 ]
		(Comp: 1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_2, Ar_2, Ar_5)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_0 - 4 >= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 4, Fresh_2', Fresh_3', Ar_4, Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 ] with all transitions in problem 11, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 5, Fresh_2, Fresh_3, Ar_4, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 ]
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 4, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 ]
We thus obtain the following problem:
12:	T:
		(Comp: 1, Cost: 6)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 5, Fresh_2, Fresh_3, Ar_4, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 ]
		(Comp: 1, Cost: 6)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 4, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 ]
		(Comp: 1, Cost: 5)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 3, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 ]
		(Comp: 1, Cost: 4)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 2, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 ]
		(Comp: 1, Cost: 3)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 1, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 0, 0, 0, 0, Ar_5)) [ 0 <= 0 /\ 0 >= 0 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(Ar_0, Ar_1 + 1, Fresh_2, Fresh_3, Ar_4, Fresh_2)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_0 - 4 >= 0 ]
		(Comp: 1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_2, Ar_2, Ar_5)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_0 - 4 >= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 5, Fresh_2, Fresh_3, Ar_4, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 ] with all transitions in problem 12, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 6, Fresh_2', Fresh_3', Ar_4, Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 ]
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 5, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 ]
We thus obtain the following problem:
13:	T:
		(Comp: 1, Cost: 7)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 6, Fresh_2', Fresh_3', Ar_4, Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 ]
		(Comp: 1, Cost: 7)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 5, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 ]
		(Comp: 1, Cost: 6)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 4, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 ]
		(Comp: 1, Cost: 5)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 3, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 ]
		(Comp: 1, Cost: 4)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 2, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 ]
		(Comp: 1, Cost: 3)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 1, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 0, 0, 0, 0, Ar_5)) [ 0 <= 0 /\ 0 >= 0 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(Ar_0, Ar_1 + 1, Fresh_2, Fresh_3, Ar_4, Fresh_2)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_0 - 4 >= 0 ]
		(Comp: 1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_2, Ar_2, Ar_5)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_0 - 4 >= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 6, Fresh_2', Fresh_3', Ar_4, Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 ] with all transitions in problem 13, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 7, Fresh_2, Fresh_3, Ar_4, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 ]
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 6, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 ]
We thus obtain the following problem:
14:	T:
		(Comp: 1, Cost: 8)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 7, Fresh_2, Fresh_3, Ar_4, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 ]
		(Comp: 1, Cost: 8)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 6, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 ]
		(Comp: 1, Cost: 7)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 5, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 ]
		(Comp: 1, Cost: 6)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 4, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 ]
		(Comp: 1, Cost: 5)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 3, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 ]
		(Comp: 1, Cost: 4)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 2, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 ]
		(Comp: 1, Cost: 3)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 1, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 0, 0, 0, 0, Ar_5)) [ 0 <= 0 /\ 0 >= 0 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(Ar_0, Ar_1 + 1, Fresh_2, Fresh_3, Ar_4, Fresh_2)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_0 - 4 >= 0 ]
		(Comp: 1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_2, Ar_2, Ar_5)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_0 - 4 >= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 7, Fresh_2, Fresh_3, Ar_4, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 ] with all transitions in problem 14, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 8, Fresh_2', Fresh_3', Ar_4, Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 ]
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 7, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 ]
We thus obtain the following problem:
15:	T:
		(Comp: 1, Cost: 9)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 8, Fresh_2', Fresh_3', Ar_4, Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 ]
		(Comp: 1, Cost: 9)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 7, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 ]
		(Comp: 1, Cost: 8)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 6, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 ]
		(Comp: 1, Cost: 7)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 5, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 ]
		(Comp: 1, Cost: 6)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 4, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 ]
		(Comp: 1, Cost: 5)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 3, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 ]
		(Comp: 1, Cost: 4)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 2, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 ]
		(Comp: 1, Cost: 3)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 1, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 0, 0, 0, 0, Ar_5)) [ 0 <= 0 /\ 0 >= 0 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(Ar_0, Ar_1 + 1, Fresh_2, Fresh_3, Ar_4, Fresh_2)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_0 - 4 >= 0 ]
		(Comp: 1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_2, Ar_2, Ar_5)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_0 - 4 >= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 8, Fresh_2', Fresh_3', Ar_4, Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 ] with all transitions in problem 15, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 9, Fresh_2, Fresh_3, Ar_4, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 ]
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 8, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 ]
We thus obtain the following problem:
16:	T:
		(Comp: 1, Cost: 10)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 9, Fresh_2, Fresh_3, Ar_4, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 ]
		(Comp: 1, Cost: 10)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 8, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 ]
		(Comp: 1, Cost: 9)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 7, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 ]
		(Comp: 1, Cost: 8)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 6, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 ]
		(Comp: 1, Cost: 7)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 5, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 ]
		(Comp: 1, Cost: 6)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 4, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 ]
		(Comp: 1, Cost: 5)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 3, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 ]
		(Comp: 1, Cost: 4)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 2, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 ]
		(Comp: 1, Cost: 3)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 1, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 ]
		(Comp: 1, Cost: 2)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 0, 0, 0, 0, Ar_5)) [ 0 <= 0 /\ 0 >= 0 ]
		(Comp: ?, Cost: 1)     f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(Ar_0, Ar_1 + 1, Fresh_2, Fresh_3, Ar_4, Fresh_2)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_0 - 4 >= 0 ]
		(Comp: 1, Cost: 1)     f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_2, Ar_2, Ar_5)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_0 - 4 >= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 9, Fresh_2, Fresh_3, Ar_4, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 ] with all transitions in problem 16, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 10, Fresh_2', Fresh_3', Ar_4, Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 /\ 9 >= 0 ]
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 9, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 /\ 9 >= 0 ]
We thus obtain the following problem:
17:	T:
		(Comp: 1, Cost: 11)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 10, Fresh_2', Fresh_3', Ar_4, Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 /\ 9 >= 0 ]
		(Comp: 1, Cost: 11)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 9, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 /\ 9 >= 0 ]
		(Comp: 1, Cost: 10)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 8, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 ]
		(Comp: 1, Cost: 9)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 7, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 ]
		(Comp: 1, Cost: 8)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 6, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 ]
		(Comp: 1, Cost: 7)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 5, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 ]
		(Comp: 1, Cost: 6)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 4, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 ]
		(Comp: 1, Cost: 5)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 3, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 ]
		(Comp: 1, Cost: 4)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 2, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 ]
		(Comp: 1, Cost: 3)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 1, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 ]
		(Comp: 1, Cost: 2)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 0, 0, 0, 0, Ar_5)) [ 0 <= 0 /\ 0 >= 0 ]
		(Comp: ?, Cost: 1)     f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(Ar_0, Ar_1 + 1, Fresh_2, Fresh_3, Ar_4, Fresh_2)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_0 - 4 >= 0 ]
		(Comp: 1, Cost: 1)     f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_2, Ar_2, Ar_5)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_0 - 4 >= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 10, Fresh_2', Fresh_3', Ar_4, Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 /\ 9 >= 0 ] with all transitions in problem 17, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 11, Fresh_2, Fresh_3, Ar_4, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 /\ 9 >= 0 /\ 10 >= 0 ]
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 10, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 /\ 9 >= 0 /\ 10 >= 0 ]
We thus obtain the following problem:
18:	T:
		(Comp: 1, Cost: 12)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 11, Fresh_2, Fresh_3, Ar_4, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 /\ 9 >= 0 /\ 10 >= 0 ]
		(Comp: 1, Cost: 12)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 10, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 /\ 9 >= 0 /\ 10 >= 0 ]
		(Comp: 1, Cost: 11)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 9, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 /\ 9 >= 0 ]
		(Comp: 1, Cost: 10)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 8, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 ]
		(Comp: 1, Cost: 9)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 7, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 ]
		(Comp: 1, Cost: 8)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 6, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 ]
		(Comp: 1, Cost: 7)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 5, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 ]
		(Comp: 1, Cost: 6)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 4, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 ]
		(Comp: 1, Cost: 5)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 3, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 ]
		(Comp: 1, Cost: 4)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 2, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 ]
		(Comp: 1, Cost: 3)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 1, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 ]
		(Comp: 1, Cost: 2)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 0, 0, 0, 0, Ar_5)) [ 0 <= 0 /\ 0 >= 0 ]
		(Comp: ?, Cost: 1)     f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(Ar_0, Ar_1 + 1, Fresh_2, Fresh_3, Ar_4, Fresh_2)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_0 - 4 >= 0 ]
		(Comp: 1, Cost: 1)     f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_2, Ar_2, Ar_5)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_0 - 4 >= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 11, Fresh_2, Fresh_3, Ar_4, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 /\ 9 >= 0 /\ 10 >= 0 ] with all transitions in problem 18, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 12, Fresh_2', Fresh_3', Ar_4, Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 /\ 9 >= 0 /\ 10 >= 0 /\ 11 >= 0 ]
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 11, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 /\ 9 >= 0 /\ 10 >= 0 /\ 11 >= 0 ]
We thus obtain the following problem:
19:	T:
		(Comp: 1, Cost: 13)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 12, Fresh_2', Fresh_3', Ar_4, Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 /\ 9 >= 0 /\ 10 >= 0 /\ 11 >= 0 ]
		(Comp: 1, Cost: 13)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 11, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 /\ 9 >= 0 /\ 10 >= 0 /\ 11 >= 0 ]
		(Comp: 1, Cost: 12)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 10, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 /\ 9 >= 0 /\ 10 >= 0 ]
		(Comp: 1, Cost: 11)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 9, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 /\ 9 >= 0 ]
		(Comp: 1, Cost: 10)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 8, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 ]
		(Comp: 1, Cost: 9)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 7, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 ]
		(Comp: 1, Cost: 8)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 6, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 ]
		(Comp: 1, Cost: 7)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 5, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 ]
		(Comp: 1, Cost: 6)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 4, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 ]
		(Comp: 1, Cost: 5)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 3, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 ]
		(Comp: 1, Cost: 4)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 2, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 ]
		(Comp: 1, Cost: 3)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 1, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 ]
		(Comp: 1, Cost: 2)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 0, 0, 0, 0, Ar_5)) [ 0 <= 0 /\ 0 >= 0 ]
		(Comp: ?, Cost: 1)     f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(Ar_0, Ar_1 + 1, Fresh_2, Fresh_3, Ar_4, Fresh_2)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_0 - 4 >= 0 ]
		(Comp: 1, Cost: 1)     f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_2, Ar_2, Ar_5)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_0 - 4 >= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 12, Fresh_2', Fresh_3', Ar_4, Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 /\ 9 >= 0 /\ 10 >= 0 /\ 11 >= 0 ] with all transitions in problem 19, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 13, Fresh_2, Fresh_3, Ar_4, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 /\ 9 >= 0 /\ 10 >= 0 /\ 11 >= 0 /\ 12 >= 0 ]
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 12, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 /\ 9 >= 0 /\ 10 >= 0 /\ 11 >= 0 /\ 12 >= 0 ]
We thus obtain the following problem:
20:	T:
		(Comp: 1, Cost: 14)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 13, Fresh_2, Fresh_3, Ar_4, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 /\ 9 >= 0 /\ 10 >= 0 /\ 11 >= 0 /\ 12 >= 0 ]
		(Comp: 1, Cost: 14)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 12, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 /\ 9 >= 0 /\ 10 >= 0 /\ 11 >= 0 /\ 12 >= 0 ]
		(Comp: 1, Cost: 13)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 11, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 /\ 9 >= 0 /\ 10 >= 0 /\ 11 >= 0 ]
		(Comp: 1, Cost: 12)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 10, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 /\ 9 >= 0 /\ 10 >= 0 ]
		(Comp: 1, Cost: 11)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 9, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 /\ 9 >= 0 ]
		(Comp: 1, Cost: 10)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 8, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 ]
		(Comp: 1, Cost: 9)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 7, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 ]
		(Comp: 1, Cost: 8)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 6, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 ]
		(Comp: 1, Cost: 7)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 5, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 ]
		(Comp: 1, Cost: 6)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 4, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 ]
		(Comp: 1, Cost: 5)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 3, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 ]
		(Comp: 1, Cost: 4)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 2, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 ]
		(Comp: 1, Cost: 3)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 1, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 ]
		(Comp: 1, Cost: 2)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 0, 0, 0, 0, Ar_5)) [ 0 <= 0 /\ 0 >= 0 ]
		(Comp: ?, Cost: 1)     f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(Ar_0, Ar_1 + 1, Fresh_2, Fresh_3, Ar_4, Fresh_2)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_0 - 4 >= 0 ]
		(Comp: 1, Cost: 1)     f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_2, Ar_2, Ar_5)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_0 - 4 >= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 13, Fresh_2, Fresh_3, Ar_4, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 /\ 9 >= 0 /\ 10 >= 0 /\ 11 >= 0 /\ 12 >= 0 ] with all transitions in problem 20, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 14, Fresh_2', Fresh_3', Ar_4, Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 /\ 9 >= 0 /\ 10 >= 0 /\ 11 >= 0 /\ 12 >= 0 /\ 13 >= 0 ]
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 13, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 /\ 9 >= 0 /\ 10 >= 0 /\ 11 >= 0 /\ 12 >= 0 /\ 13 >= 0 ]
We thus obtain the following problem:
21:	T:
		(Comp: 1, Cost: 15)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(4, 14, Fresh_2', Fresh_3', Ar_4, Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 /\ 9 >= 0 /\ 10 >= 0 /\ 11 >= 0 /\ 12 >= 0 /\ 13 >= 0 ]
		(Comp: 1, Cost: 15)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 13, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 /\ 9 >= 0 /\ 10 >= 0 /\ 11 >= 0 /\ 12 >= 0 /\ 13 >= 0 ]
		(Comp: 1, Cost: 14)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 12, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 /\ 9 >= 0 /\ 10 >= 0 /\ 11 >= 0 /\ 12 >= 0 ]
		(Comp: 1, Cost: 13)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 11, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 /\ 9 >= 0 /\ 10 >= 0 /\ 11 >= 0 ]
		(Comp: 1, Cost: 12)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 10, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 /\ 9 >= 0 /\ 10 >= 0 ]
		(Comp: 1, Cost: 11)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 9, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 /\ 9 >= 0 ]
		(Comp: 1, Cost: 10)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 8, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 /\ 8 >= 0 ]
		(Comp: 1, Cost: 9)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 7, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 /\ 7 >= 0 ]
		(Comp: 1, Cost: 8)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 6, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 /\ 6 >= 0 ]
		(Comp: 1, Cost: 7)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 5, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 /\ 5 >= 0 ]
		(Comp: 1, Cost: 6)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 4, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 /\ 4 >= 0 ]
		(Comp: 1, Cost: 5)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 3, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 /\ 3 >= 0 ]
		(Comp: 1, Cost: 4)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 2, Fresh_2', Fresh_2', Fresh_2', Fresh_2')) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 /\ 2 >= 0 ]
		(Comp: 1, Cost: 3)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 1, Fresh_2, Fresh_2, Fresh_2, Fresh_2)) [ 0 <= 0 /\ 0 >= 0 /\ 1 >= 0 ]
		(Comp: 1, Cost: 2)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(4, 0, 0, 0, 0, Ar_5)) [ 0 <= 0 /\ 0 >= 0 ]
		(Comp: ?, Cost: 1)     f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(Ar_0, Ar_1 + 1, Fresh_2, Fresh_3, Ar_4, Fresh_2)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_0 - 4 >= 0 ]
		(Comp: 1, Cost: 1)     f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_2, Ar_2, Ar_5)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 + 4 >= 0 /\ -Ar_0 + 4 >= 0 /\ Ar_0 - 4 >= 0 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound ?

Time: 0.232 sec (SMT: 0.137 sec)
