
Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f12(Fresh_1, Fresh_2, Fresh_3, 0, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)    f12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f12(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4, Ar_5, Ar_6)) [ Ar_2 >= Ar_3 + 1 ]
		(Comp: ?, Cost: 1)    f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6)) [ Ar_4 >= Ar_5 + 1 ]
		(Comp: ?, Cost: 1)    f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f34(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, 0, Fresh_0)) [ Ar_3 >= Ar_2 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Slicing away variables that do not contribute to conditions from problem 1 leaves variables [Ar_0, Ar_2, Ar_3, Ar_4, Ar_5].
We thus obtain the following problem:
2:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f0(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]
		(Comp: ?, Cost: 1)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 0)) [ Ar_3 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5 + 1)) [ Ar_4 >= Ar_5 + 1 ]
		(Comp: ?, Cost: 1)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Ar_0, Ar_2, Ar_3 + 1, Ar_4, Ar_5)) [ Ar_2 >= Ar_3 + 1 ]
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Fresh_1, Fresh_3, 0, Ar_4, Ar_5))
	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_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f0(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]
		(Comp: ?, Cost: 1)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 0)) [ Ar_3 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5 + 1)) [ Ar_4 >= Ar_5 + 1 ]
		(Comp: ?, Cost: 1)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Ar_0, Ar_2, Ar_3 + 1, Ar_4, Ar_5)) [ Ar_2 >= Ar_3 + 1 ]
		(Comp: 1, Cost: 1)    f0(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Fresh_1, Fresh_3, 0, Ar_4, Ar_5))
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(koat_start) = 2
	Pol(f0) = 2
	Pol(f12) = 2
	Pol(f25) = 1
	Pol(f34) = 0
orients all transitions weakly and the transitions
	f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= Ar_4 ]
	f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 0)) [ Ar_3 >= Ar_2 ]
strictly and produces the following problem:
4:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f0(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]
		(Comp: 2, Cost: 1)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 0)) [ Ar_3 >= Ar_2 ]
		(Comp: 2, Cost: 1)    f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5 + 1)) [ Ar_4 >= Ar_5 + 1 ]
		(Comp: ?, Cost: 1)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Ar_0, Ar_2, Ar_3 + 1, Ar_4, Ar_5)) [ Ar_2 >= Ar_3 + 1 ]
		(Comp: 1, Cost: 1)    f0(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Fresh_1, Fresh_3, 0, Ar_4, Ar_5))
	start location:	koat_start
	leaf cost:	0

Applied AI with 'oct' on problem 4 to obtain the following invariants:
  For symbol f12: X_3 >= 0
  For symbol f25: X_5 >= 0 /\ X_3 + X_5 >= 0 /\ X_1 - X_4 >= 0 /\ -X_1 + X_4 >= 0 /\ X_3 >= 0 /\ -X_2 + X_3 >= 0


This yielded the following problem:
5:	T:
		(Comp: 1, Cost: 1)    f0(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Fresh_1, Fresh_3, 0, Ar_4, Ar_5))
		(Comp: ?, Cost: 1)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Ar_0, Ar_2, Ar_3 + 1, Ar_4, Ar_5)) [ Ar_3 >= 0 /\ Ar_2 >= Ar_3 + 1 ]
		(Comp: ?, Cost: 1)    f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5 + 1)) [ Ar_5 >= 0 /\ Ar_3 + Ar_5 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_4 >= Ar_5 + 1 ]
		(Comp: 2, Cost: 1)    f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= 0 /\ Ar_3 + Ar_5 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_5 >= Ar_4 ]
		(Comp: 2, Cost: 1)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 0)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f0(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f0(Ar_0, 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_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Fresh_1, Fresh_3, 0, Ar_4, Ar_5)) [ 0 <= 0 ]
We thus obtain the following problem:
6:	T:
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Fresh_1, Fresh_3, 0, Ar_4, Ar_5)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)    f0(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Fresh_1, Fresh_3, 0, Ar_4, Ar_5))
		(Comp: ?, Cost: 1)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Ar_0, Ar_2, Ar_3 + 1, Ar_4, Ar_5)) [ Ar_3 >= 0 /\ Ar_2 >= Ar_3 + 1 ]
		(Comp: ?, Cost: 1)    f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5 + 1)) [ Ar_5 >= 0 /\ Ar_3 + Ar_5 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_4 >= Ar_5 + 1 ]
		(Comp: 2, Cost: 1)    f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= 0 /\ Ar_3 + Ar_5 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_5 >= Ar_4 ]
		(Comp: 2, Cost: 1)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 0)) [ 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_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Fresh_1, Fresh_3, 0, Ar_4, Ar_5))
We thus obtain the following problem:
7:	T:
		(Comp: 2, Cost: 1)    f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= 0 /\ Ar_3 + Ar_5 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_5 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5 + 1)) [ Ar_5 >= 0 /\ Ar_3 + Ar_5 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_4 >= Ar_5 + 1 ]
		(Comp: 2, Cost: 1)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 0)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Ar_0, Ar_2, Ar_3 + 1, Ar_4, Ar_5)) [ Ar_3 >= 0 /\ Ar_2 >= Ar_3 + 1 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Fresh_1, Fresh_3, 0, Ar_4, Ar_5)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 0)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 ] with all transitions in problem 7, the following new transitions are obtained:
	f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 0)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ 0 >= Ar_0 ]
	f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 1)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 ]
We thus obtain the following problem:
8:	T:
		(Comp: 2, Cost: 2)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 0)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ 0 >= Ar_0 ]
		(Comp: 2, Cost: 2)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 1)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 ]
		(Comp: 2, Cost: 1)    f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= 0 /\ Ar_3 + Ar_5 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_5 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5 + 1)) [ Ar_5 >= 0 /\ Ar_3 + Ar_5 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_4 >= Ar_5 + 1 ]
		(Comp: ?, Cost: 1)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Ar_0, Ar_2, Ar_3 + 1, Ar_4, Ar_5)) [ Ar_3 >= 0 /\ Ar_2 >= Ar_3 + 1 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Fresh_1, Fresh_3, 0, Ar_4, Ar_5)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 1)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 ] with all transitions in problem 8, the following new transitions are obtained:
	f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 1)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ 1 >= Ar_0 ]
	f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 2)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 ]
We thus obtain the following problem:
9:	T:
		(Comp: 2, Cost: 3)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 1)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ 1 >= Ar_0 ]
		(Comp: 2, Cost: 3)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 2)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 ]
		(Comp: 2, Cost: 2)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 0)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ 0 >= Ar_0 ]
		(Comp: 2, Cost: 1)    f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= 0 /\ Ar_3 + Ar_5 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_5 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5 + 1)) [ Ar_5 >= 0 /\ Ar_3 + Ar_5 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_4 >= Ar_5 + 1 ]
		(Comp: ?, Cost: 1)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Ar_0, Ar_2, Ar_3 + 1, Ar_4, Ar_5)) [ Ar_3 >= 0 /\ Ar_2 >= Ar_3 + 1 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Fresh_1, Fresh_3, 0, Ar_4, Ar_5)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 2)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 ] with all transitions in problem 9, the following new transitions are obtained:
	f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 2)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ 2 >= Ar_0 ]
	f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 3)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 ]
We thus obtain the following problem:
10:	T:
		(Comp: 2, Cost: 4)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 2)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ 2 >= Ar_0 ]
		(Comp: 2, Cost: 4)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 3)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 ]
		(Comp: 2, Cost: 3)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 1)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ 1 >= Ar_0 ]
		(Comp: 2, Cost: 2)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 0)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ 0 >= Ar_0 ]
		(Comp: 2, Cost: 1)    f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= 0 /\ Ar_3 + Ar_5 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_5 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5 + 1)) [ Ar_5 >= 0 /\ Ar_3 + Ar_5 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_4 >= Ar_5 + 1 ]
		(Comp: ?, Cost: 1)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Ar_0, Ar_2, Ar_3 + 1, Ar_4, Ar_5)) [ Ar_3 >= 0 /\ Ar_2 >= Ar_3 + 1 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Fresh_1, Fresh_3, 0, Ar_4, Ar_5)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 3)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 ] with all transitions in problem 10, the following new transitions are obtained:
	f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 3)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ 3 >= Ar_0 ]
	f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 4)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 ]
We thus obtain the following problem:
11:	T:
		(Comp: 2, Cost: 5)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 3)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ 3 >= Ar_0 ]
		(Comp: 2, Cost: 5)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 4)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 ]
		(Comp: 2, Cost: 4)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 2)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ 2 >= Ar_0 ]
		(Comp: 2, Cost: 3)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 1)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ 1 >= Ar_0 ]
		(Comp: 2, Cost: 2)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 0)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ 0 >= Ar_0 ]
		(Comp: 2, Cost: 1)    f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= 0 /\ Ar_3 + Ar_5 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_5 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5 + 1)) [ Ar_5 >= 0 /\ Ar_3 + Ar_5 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_4 >= Ar_5 + 1 ]
		(Comp: ?, Cost: 1)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Ar_0, Ar_2, Ar_3 + 1, Ar_4, Ar_5)) [ Ar_3 >= 0 /\ Ar_2 >= Ar_3 + 1 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Fresh_1, Fresh_3, 0, Ar_4, Ar_5)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 4)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 ] with all transitions in problem 11, the following new transitions are obtained:
	f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 4)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ 4 >= Ar_0 ]
	f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 5)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 ]
We thus obtain the following problem:
12:	T:
		(Comp: 2, Cost: 6)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 4)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ 4 >= Ar_0 ]
		(Comp: 2, Cost: 6)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 5)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 ]
		(Comp: 2, Cost: 5)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 3)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ 3 >= Ar_0 ]
		(Comp: 2, Cost: 4)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 2)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ 2 >= Ar_0 ]
		(Comp: 2, Cost: 3)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 1)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ 1 >= Ar_0 ]
		(Comp: 2, Cost: 2)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 0)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ 0 >= Ar_0 ]
		(Comp: 2, Cost: 1)    f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= 0 /\ Ar_3 + Ar_5 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_5 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5 + 1)) [ Ar_5 >= 0 /\ Ar_3 + Ar_5 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_4 >= Ar_5 + 1 ]
		(Comp: ?, Cost: 1)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Ar_0, Ar_2, Ar_3 + 1, Ar_4, Ar_5)) [ Ar_3 >= 0 /\ Ar_2 >= Ar_3 + 1 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Fresh_1, Fresh_3, 0, Ar_4, Ar_5)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 5)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 ] with all transitions in problem 12, the following new transitions are obtained:
	f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 5)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ 5 >= Ar_0 ]
	f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 6)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 ]
We thus obtain the following problem:
13:	T:
		(Comp: 2, Cost: 7)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 5)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ 5 >= Ar_0 ]
		(Comp: 2, Cost: 7)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 6)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 ]
		(Comp: 2, Cost: 6)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 4)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ 4 >= Ar_0 ]
		(Comp: 2, Cost: 5)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 3)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ 3 >= Ar_0 ]
		(Comp: 2, Cost: 4)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 2)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ 2 >= Ar_0 ]
		(Comp: 2, Cost: 3)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 1)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ 1 >= Ar_0 ]
		(Comp: 2, Cost: 2)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 0)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ 0 >= Ar_0 ]
		(Comp: 2, Cost: 1)    f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= 0 /\ Ar_3 + Ar_5 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_5 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5 + 1)) [ Ar_5 >= 0 /\ Ar_3 + Ar_5 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_4 >= Ar_5 + 1 ]
		(Comp: ?, Cost: 1)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Ar_0, Ar_2, Ar_3 + 1, Ar_4, Ar_5)) [ Ar_3 >= 0 /\ Ar_2 >= Ar_3 + 1 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Fresh_1, Fresh_3, 0, Ar_4, Ar_5)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 6)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 ] with all transitions in problem 13, the following new transitions are obtained:
	f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 6)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ 6 >= Ar_0 ]
	f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 7)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 ]
We thus obtain the following problem:
14:	T:
		(Comp: 2, Cost: 8)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 6)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ 6 >= Ar_0 ]
		(Comp: 2, Cost: 8)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 7)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 ]
		(Comp: 2, Cost: 7)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 5)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ 5 >= Ar_0 ]
		(Comp: 2, Cost: 6)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 4)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ 4 >= Ar_0 ]
		(Comp: 2, Cost: 5)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 3)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ 3 >= Ar_0 ]
		(Comp: 2, Cost: 4)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 2)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ 2 >= Ar_0 ]
		(Comp: 2, Cost: 3)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 1)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ 1 >= Ar_0 ]
		(Comp: 2, Cost: 2)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 0)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ 0 >= Ar_0 ]
		(Comp: 2, Cost: 1)    f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= 0 /\ Ar_3 + Ar_5 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_5 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5 + 1)) [ Ar_5 >= 0 /\ Ar_3 + Ar_5 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_4 >= Ar_5 + 1 ]
		(Comp: ?, Cost: 1)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Ar_0, Ar_2, Ar_3 + 1, Ar_4, Ar_5)) [ Ar_3 >= 0 /\ Ar_2 >= Ar_3 + 1 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Fresh_1, Fresh_3, 0, Ar_4, Ar_5)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 7)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 ] with all transitions in problem 14, the following new transitions are obtained:
	f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 7)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ 7 >= Ar_0 ]
	f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 8)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 ]
We thus obtain the following problem:
15:	T:
		(Comp: 2, Cost: 9)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 7)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ 7 >= Ar_0 ]
		(Comp: 2, Cost: 9)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 8)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 ]
		(Comp: 2, Cost: 8)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 6)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ 6 >= Ar_0 ]
		(Comp: 2, Cost: 7)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 5)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ 5 >= Ar_0 ]
		(Comp: 2, Cost: 6)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 4)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ 4 >= Ar_0 ]
		(Comp: 2, Cost: 5)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 3)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ 3 >= Ar_0 ]
		(Comp: 2, Cost: 4)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 2)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ 2 >= Ar_0 ]
		(Comp: 2, Cost: 3)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 1)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ 1 >= Ar_0 ]
		(Comp: 2, Cost: 2)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 0)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ 0 >= Ar_0 ]
		(Comp: 2, Cost: 1)    f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= 0 /\ Ar_3 + Ar_5 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_5 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5 + 1)) [ Ar_5 >= 0 /\ Ar_3 + Ar_5 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_4 >= Ar_5 + 1 ]
		(Comp: ?, Cost: 1)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Ar_0, Ar_2, Ar_3 + 1, Ar_4, Ar_5)) [ Ar_3 >= 0 /\ Ar_2 >= Ar_3 + 1 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Fresh_1, Fresh_3, 0, Ar_4, Ar_5)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 8)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 ] with all transitions in problem 15, the following new transitions are obtained:
	f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 8)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ 8 >= Ar_0 ]
	f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 9)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ Ar_0 >= 9 ]
We thus obtain the following problem:
16:	T:
		(Comp: 2, Cost: 10)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 8)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ 8 >= Ar_0 ]
		(Comp: 2, Cost: 10)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 9)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ Ar_0 >= 9 ]
		(Comp: 2, Cost: 9)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 7)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ 7 >= Ar_0 ]
		(Comp: 2, Cost: 8)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 6)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ 6 >= Ar_0 ]
		(Comp: 2, Cost: 7)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 5)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ 5 >= Ar_0 ]
		(Comp: 2, Cost: 6)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 4)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ 4 >= Ar_0 ]
		(Comp: 2, Cost: 5)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 3)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ 3 >= Ar_0 ]
		(Comp: 2, Cost: 4)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 2)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ 2 >= Ar_0 ]
		(Comp: 2, Cost: 3)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 1)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ 1 >= Ar_0 ]
		(Comp: 2, Cost: 2)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 0)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ 0 >= Ar_0 ]
		(Comp: 2, Cost: 1)     f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= 0 /\ Ar_3 + Ar_5 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_5 >= Ar_4 ]
		(Comp: ?, Cost: 1)     f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5 + 1)) [ Ar_5 >= 0 /\ Ar_3 + Ar_5 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_4 >= Ar_5 + 1 ]
		(Comp: ?, Cost: 1)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Ar_0, Ar_2, Ar_3 + 1, Ar_4, Ar_5)) [ Ar_3 >= 0 /\ Ar_2 >= Ar_3 + 1 ]
		(Comp: 1, Cost: 1)     koat_start(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Fresh_1, Fresh_3, 0, Ar_4, Ar_5)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 9)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ Ar_0 >= 9 ] with all transitions in problem 16, the following new transitions are obtained:
	f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 9)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ Ar_0 >= 9 /\ 9 >= 0 /\ Ar_3 + 9 >= 0 /\ 9 >= Ar_0 ]
	f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 10)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ Ar_0 >= 9 /\ 9 >= 0 /\ Ar_3 + 9 >= 0 /\ Ar_0 >= 10 ]
We thus obtain the following problem:
17:	T:
		(Comp: 2, Cost: 11)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 9)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ Ar_0 >= 9 /\ 9 >= 0 /\ Ar_3 + 9 >= 0 /\ 9 >= Ar_0 ]
		(Comp: 2, Cost: 11)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 10)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ Ar_0 >= 9 /\ 9 >= 0 /\ Ar_3 + 9 >= 0 /\ Ar_0 >= 10 ]
		(Comp: 2, Cost: 10)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 8)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ 8 >= Ar_0 ]
		(Comp: 2, Cost: 9)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 7)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ 7 >= Ar_0 ]
		(Comp: 2, Cost: 8)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 6)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ 6 >= Ar_0 ]
		(Comp: 2, Cost: 7)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 5)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ 5 >= Ar_0 ]
		(Comp: 2, Cost: 6)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 4)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ 4 >= Ar_0 ]
		(Comp: 2, Cost: 5)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 3)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ 3 >= Ar_0 ]
		(Comp: 2, Cost: 4)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 2)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ 2 >= Ar_0 ]
		(Comp: 2, Cost: 3)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 1)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ 1 >= Ar_0 ]
		(Comp: 2, Cost: 2)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 0)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ 0 >= Ar_0 ]
		(Comp: 2, Cost: 1)     f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= 0 /\ Ar_3 + Ar_5 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_5 >= Ar_4 ]
		(Comp: ?, Cost: 1)     f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5 + 1)) [ Ar_5 >= 0 /\ Ar_3 + Ar_5 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_4 >= Ar_5 + 1 ]
		(Comp: ?, Cost: 1)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Ar_0, Ar_2, Ar_3 + 1, Ar_4, Ar_5)) [ Ar_3 >= 0 /\ Ar_2 >= Ar_3 + 1 ]
		(Comp: 1, Cost: 1)     koat_start(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Fresh_1, Fresh_3, 0, Ar_4, Ar_5)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 10)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ Ar_0 >= 9 /\ 9 >= 0 /\ Ar_3 + 9 >= 0 /\ Ar_0 >= 10 ] with all transitions in problem 17, the following new transitions are obtained:
	f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 10)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ Ar_0 >= 9 /\ 9 >= 0 /\ Ar_3 + 9 >= 0 /\ Ar_0 >= 10 /\ 10 >= 0 /\ Ar_3 + 10 >= 0 /\ 10 >= Ar_0 ]
	f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 11)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ Ar_0 >= 9 /\ 9 >= 0 /\ Ar_3 + 9 >= 0 /\ Ar_0 >= 10 /\ 10 >= 0 /\ Ar_3 + 10 >= 0 /\ Ar_0 >= 11 ]
We thus obtain the following problem:
18:	T:
		(Comp: 2, Cost: 12)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 10)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ Ar_0 >= 9 /\ 9 >= 0 /\ Ar_3 + 9 >= 0 /\ Ar_0 >= 10 /\ 10 >= 0 /\ Ar_3 + 10 >= 0 /\ 10 >= Ar_0 ]
		(Comp: 2, Cost: 12)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 11)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ Ar_0 >= 9 /\ 9 >= 0 /\ Ar_3 + 9 >= 0 /\ Ar_0 >= 10 /\ 10 >= 0 /\ Ar_3 + 10 >= 0 /\ Ar_0 >= 11 ]
		(Comp: 2, Cost: 11)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 9)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ Ar_0 >= 9 /\ 9 >= 0 /\ Ar_3 + 9 >= 0 /\ 9 >= Ar_0 ]
		(Comp: 2, Cost: 10)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 8)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ 8 >= Ar_0 ]
		(Comp: 2, Cost: 9)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 7)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ 7 >= Ar_0 ]
		(Comp: 2, Cost: 8)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 6)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ 6 >= Ar_0 ]
		(Comp: 2, Cost: 7)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 5)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ 5 >= Ar_0 ]
		(Comp: 2, Cost: 6)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 4)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ 4 >= Ar_0 ]
		(Comp: 2, Cost: 5)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 3)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ 3 >= Ar_0 ]
		(Comp: 2, Cost: 4)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 2)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ 2 >= Ar_0 ]
		(Comp: 2, Cost: 3)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 1)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ 1 >= Ar_0 ]
		(Comp: 2, Cost: 2)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 0)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ 0 >= Ar_0 ]
		(Comp: 2, Cost: 1)     f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= 0 /\ Ar_3 + Ar_5 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_5 >= Ar_4 ]
		(Comp: ?, Cost: 1)     f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5 + 1)) [ Ar_5 >= 0 /\ Ar_3 + Ar_5 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_4 >= Ar_5 + 1 ]
		(Comp: ?, Cost: 1)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Ar_0, Ar_2, Ar_3 + 1, Ar_4, Ar_5)) [ Ar_3 >= 0 /\ Ar_2 >= Ar_3 + 1 ]
		(Comp: 1, Cost: 1)     koat_start(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Fresh_1, Fresh_3, 0, Ar_4, Ar_5)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 11)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ Ar_0 >= 9 /\ 9 >= 0 /\ Ar_3 + 9 >= 0 /\ Ar_0 >= 10 /\ 10 >= 0 /\ Ar_3 + 10 >= 0 /\ Ar_0 >= 11 ] with all transitions in problem 18, the following new transitions are obtained:
	f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 11)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ Ar_0 >= 9 /\ 9 >= 0 /\ Ar_3 + 9 >= 0 /\ Ar_0 >= 10 /\ 10 >= 0 /\ Ar_3 + 10 >= 0 /\ Ar_0 >= 11 /\ 11 >= 0 /\ Ar_3 + 11 >= 0 /\ 11 >= Ar_0 ]
	f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 12)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ Ar_0 >= 9 /\ 9 >= 0 /\ Ar_3 + 9 >= 0 /\ Ar_0 >= 10 /\ 10 >= 0 /\ Ar_3 + 10 >= 0 /\ Ar_0 >= 11 /\ 11 >= 0 /\ Ar_3 + 11 >= 0 /\ Ar_0 >= 12 ]
We thus obtain the following problem:
19:	T:
		(Comp: 2, Cost: 13)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 11)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ Ar_0 >= 9 /\ 9 >= 0 /\ Ar_3 + 9 >= 0 /\ Ar_0 >= 10 /\ 10 >= 0 /\ Ar_3 + 10 >= 0 /\ Ar_0 >= 11 /\ 11 >= 0 /\ Ar_3 + 11 >= 0 /\ 11 >= Ar_0 ]
		(Comp: 2, Cost: 13)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 12)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ Ar_0 >= 9 /\ 9 >= 0 /\ Ar_3 + 9 >= 0 /\ Ar_0 >= 10 /\ 10 >= 0 /\ Ar_3 + 10 >= 0 /\ Ar_0 >= 11 /\ 11 >= 0 /\ Ar_3 + 11 >= 0 /\ Ar_0 >= 12 ]
		(Comp: 2, Cost: 12)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 10)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ Ar_0 >= 9 /\ 9 >= 0 /\ Ar_3 + 9 >= 0 /\ Ar_0 >= 10 /\ 10 >= 0 /\ Ar_3 + 10 >= 0 /\ 10 >= Ar_0 ]
		(Comp: 2, Cost: 11)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 9)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ Ar_0 >= 9 /\ 9 >= 0 /\ Ar_3 + 9 >= 0 /\ 9 >= Ar_0 ]
		(Comp: 2, Cost: 10)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 8)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ 8 >= Ar_0 ]
		(Comp: 2, Cost: 9)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 7)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ 7 >= Ar_0 ]
		(Comp: 2, Cost: 8)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 6)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ 6 >= Ar_0 ]
		(Comp: 2, Cost: 7)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 5)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ 5 >= Ar_0 ]
		(Comp: 2, Cost: 6)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 4)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ 4 >= Ar_0 ]
		(Comp: 2, Cost: 5)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 3)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ 3 >= Ar_0 ]
		(Comp: 2, Cost: 4)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 2)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ 2 >= Ar_0 ]
		(Comp: 2, Cost: 3)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 1)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ 1 >= Ar_0 ]
		(Comp: 2, Cost: 2)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 0)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ 0 >= Ar_0 ]
		(Comp: 2, Cost: 1)     f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= 0 /\ Ar_3 + Ar_5 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_5 >= Ar_4 ]
		(Comp: ?, Cost: 1)     f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5 + 1)) [ Ar_5 >= 0 /\ Ar_3 + Ar_5 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_4 >= Ar_5 + 1 ]
		(Comp: ?, Cost: 1)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Ar_0, Ar_2, Ar_3 + 1, Ar_4, Ar_5)) [ Ar_3 >= 0 /\ Ar_2 >= Ar_3 + 1 ]
		(Comp: 1, Cost: 1)     koat_start(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Fresh_1, Fresh_3, 0, Ar_4, Ar_5)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 12)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ Ar_0 >= 9 /\ 9 >= 0 /\ Ar_3 + 9 >= 0 /\ Ar_0 >= 10 /\ 10 >= 0 /\ Ar_3 + 10 >= 0 /\ Ar_0 >= 11 /\ 11 >= 0 /\ Ar_3 + 11 >= 0 /\ Ar_0 >= 12 ] with all transitions in problem 19, the following new transitions are obtained:
	f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 12)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ Ar_0 >= 9 /\ 9 >= 0 /\ Ar_3 + 9 >= 0 /\ Ar_0 >= 10 /\ 10 >= 0 /\ Ar_3 + 10 >= 0 /\ Ar_0 >= 11 /\ 11 >= 0 /\ Ar_3 + 11 >= 0 /\ Ar_0 >= 12 /\ 12 >= 0 /\ Ar_3 + 12 >= 0 /\ 12 >= Ar_0 ]
	f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 13)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ Ar_0 >= 9 /\ 9 >= 0 /\ Ar_3 + 9 >= 0 /\ Ar_0 >= 10 /\ 10 >= 0 /\ Ar_3 + 10 >= 0 /\ Ar_0 >= 11 /\ 11 >= 0 /\ Ar_3 + 11 >= 0 /\ Ar_0 >= 12 /\ 12 >= 0 /\ Ar_3 + 12 >= 0 /\ Ar_0 >= 13 ]
We thus obtain the following problem:
20:	T:
		(Comp: 2, Cost: 14)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 12)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ Ar_0 >= 9 /\ 9 >= 0 /\ Ar_3 + 9 >= 0 /\ Ar_0 >= 10 /\ 10 >= 0 /\ Ar_3 + 10 >= 0 /\ Ar_0 >= 11 /\ 11 >= 0 /\ Ar_3 + 11 >= 0 /\ Ar_0 >= 12 /\ 12 >= 0 /\ Ar_3 + 12 >= 0 /\ 12 >= Ar_0 ]
		(Comp: 2, Cost: 14)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 13)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ Ar_0 >= 9 /\ 9 >= 0 /\ Ar_3 + 9 >= 0 /\ Ar_0 >= 10 /\ 10 >= 0 /\ Ar_3 + 10 >= 0 /\ Ar_0 >= 11 /\ 11 >= 0 /\ Ar_3 + 11 >= 0 /\ Ar_0 >= 12 /\ 12 >= 0 /\ Ar_3 + 12 >= 0 /\ Ar_0 >= 13 ]
		(Comp: 2, Cost: 13)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 11)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ Ar_0 >= 9 /\ 9 >= 0 /\ Ar_3 + 9 >= 0 /\ Ar_0 >= 10 /\ 10 >= 0 /\ Ar_3 + 10 >= 0 /\ Ar_0 >= 11 /\ 11 >= 0 /\ Ar_3 + 11 >= 0 /\ 11 >= Ar_0 ]
		(Comp: 2, Cost: 12)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 10)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ Ar_0 >= 9 /\ 9 >= 0 /\ Ar_3 + 9 >= 0 /\ Ar_0 >= 10 /\ 10 >= 0 /\ Ar_3 + 10 >= 0 /\ 10 >= Ar_0 ]
		(Comp: 2, Cost: 11)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 9)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ Ar_0 >= 9 /\ 9 >= 0 /\ Ar_3 + 9 >= 0 /\ 9 >= Ar_0 ]
		(Comp: 2, Cost: 10)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 8)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ 8 >= Ar_0 ]
		(Comp: 2, Cost: 9)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 7)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ 7 >= Ar_0 ]
		(Comp: 2, Cost: 8)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 6)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ 6 >= Ar_0 ]
		(Comp: 2, Cost: 7)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 5)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ 5 >= Ar_0 ]
		(Comp: 2, Cost: 6)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 4)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ 4 >= Ar_0 ]
		(Comp: 2, Cost: 5)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 3)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ 3 >= Ar_0 ]
		(Comp: 2, Cost: 4)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 2)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ 2 >= Ar_0 ]
		(Comp: 2, Cost: 3)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 1)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ 1 >= Ar_0 ]
		(Comp: 2, Cost: 2)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 0)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ 0 >= Ar_0 ]
		(Comp: 2, Cost: 1)     f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= 0 /\ Ar_3 + Ar_5 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_5 >= Ar_4 ]
		(Comp: ?, Cost: 1)     f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5 + 1)) [ Ar_5 >= 0 /\ Ar_3 + Ar_5 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_4 >= Ar_5 + 1 ]
		(Comp: ?, Cost: 1)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Ar_0, Ar_2, Ar_3 + 1, Ar_4, Ar_5)) [ Ar_3 >= 0 /\ Ar_2 >= Ar_3 + 1 ]
		(Comp: 1, Cost: 1)     koat_start(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Fresh_1, Fresh_3, 0, Ar_4, Ar_5)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 13)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ Ar_0 >= 9 /\ 9 >= 0 /\ Ar_3 + 9 >= 0 /\ Ar_0 >= 10 /\ 10 >= 0 /\ Ar_3 + 10 >= 0 /\ Ar_0 >= 11 /\ 11 >= 0 /\ Ar_3 + 11 >= 0 /\ Ar_0 >= 12 /\ 12 >= 0 /\ Ar_3 + 12 >= 0 /\ Ar_0 >= 13 ] with all transitions in problem 20, the following new transitions are obtained:
	f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 13)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ Ar_0 >= 9 /\ 9 >= 0 /\ Ar_3 + 9 >= 0 /\ Ar_0 >= 10 /\ 10 >= 0 /\ Ar_3 + 10 >= 0 /\ Ar_0 >= 11 /\ 11 >= 0 /\ Ar_3 + 11 >= 0 /\ Ar_0 >= 12 /\ 12 >= 0 /\ Ar_3 + 12 >= 0 /\ Ar_0 >= 13 /\ 13 >= 0 /\ Ar_3 + 13 >= 0 /\ 13 >= Ar_0 ]
	f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 14)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ Ar_0 >= 9 /\ 9 >= 0 /\ Ar_3 + 9 >= 0 /\ Ar_0 >= 10 /\ 10 >= 0 /\ Ar_3 + 10 >= 0 /\ Ar_0 >= 11 /\ 11 >= 0 /\ Ar_3 + 11 >= 0 /\ Ar_0 >= 12 /\ 12 >= 0 /\ Ar_3 + 12 >= 0 /\ Ar_0 >= 13 /\ 13 >= 0 /\ Ar_3 + 13 >= 0 /\ Ar_0 >= 14 ]
We thus obtain the following problem:
21:	T:
		(Comp: 2, Cost: 15)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 13)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ Ar_0 >= 9 /\ 9 >= 0 /\ Ar_3 + 9 >= 0 /\ Ar_0 >= 10 /\ 10 >= 0 /\ Ar_3 + 10 >= 0 /\ Ar_0 >= 11 /\ 11 >= 0 /\ Ar_3 + 11 >= 0 /\ Ar_0 >= 12 /\ 12 >= 0 /\ Ar_3 + 12 >= 0 /\ Ar_0 >= 13 /\ 13 >= 0 /\ Ar_3 + 13 >= 0 /\ 13 >= Ar_0 ]
		(Comp: 2, Cost: 15)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_0, 14)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ Ar_0 >= 9 /\ 9 >= 0 /\ Ar_3 + 9 >= 0 /\ Ar_0 >= 10 /\ 10 >= 0 /\ Ar_3 + 10 >= 0 /\ Ar_0 >= 11 /\ 11 >= 0 /\ Ar_3 + 11 >= 0 /\ Ar_0 >= 12 /\ 12 >= 0 /\ Ar_3 + 12 >= 0 /\ Ar_0 >= 13 /\ 13 >= 0 /\ Ar_3 + 13 >= 0 /\ Ar_0 >= 14 ]
		(Comp: 2, Cost: 14)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 12)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ Ar_0 >= 9 /\ 9 >= 0 /\ Ar_3 + 9 >= 0 /\ Ar_0 >= 10 /\ 10 >= 0 /\ Ar_3 + 10 >= 0 /\ Ar_0 >= 11 /\ 11 >= 0 /\ Ar_3 + 11 >= 0 /\ Ar_0 >= 12 /\ 12 >= 0 /\ Ar_3 + 12 >= 0 /\ 12 >= Ar_0 ]
		(Comp: 2, Cost: 13)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 11)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ Ar_0 >= 9 /\ 9 >= 0 /\ Ar_3 + 9 >= 0 /\ Ar_0 >= 10 /\ 10 >= 0 /\ Ar_3 + 10 >= 0 /\ Ar_0 >= 11 /\ 11 >= 0 /\ Ar_3 + 11 >= 0 /\ 11 >= Ar_0 ]
		(Comp: 2, Cost: 12)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 10)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ Ar_0 >= 9 /\ 9 >= 0 /\ Ar_3 + 9 >= 0 /\ Ar_0 >= 10 /\ 10 >= 0 /\ Ar_3 + 10 >= 0 /\ 10 >= Ar_0 ]
		(Comp: 2, Cost: 11)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 9)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ Ar_0 >= 9 /\ 9 >= 0 /\ Ar_3 + 9 >= 0 /\ 9 >= Ar_0 ]
		(Comp: 2, Cost: 10)    f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 8)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ Ar_0 >= 8 /\ 8 >= 0 /\ Ar_3 + 8 >= 0 /\ 8 >= Ar_0 ]
		(Comp: 2, Cost: 9)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 7)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ Ar_0 >= 7 /\ 7 >= 0 /\ Ar_3 + 7 >= 0 /\ 7 >= Ar_0 ]
		(Comp: 2, Cost: 8)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 6)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 >= 6 /\ 6 >= 0 /\ Ar_3 + 6 >= 0 /\ 6 >= Ar_0 ]
		(Comp: 2, Cost: 7)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 5)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ Ar_0 >= 5 /\ 5 >= 0 /\ Ar_3 + 5 >= 0 /\ 5 >= Ar_0 ]
		(Comp: 2, Cost: 6)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 4)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ Ar_0 >= 4 /\ 4 >= 0 /\ Ar_3 + 4 >= 0 /\ 4 >= Ar_0 ]
		(Comp: 2, Cost: 5)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 3)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ Ar_0 >= 3 /\ 3 >= 0 /\ Ar_3 + 3 >= 0 /\ 3 >= Ar_0 ]
		(Comp: 2, Cost: 4)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 2)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= 2 /\ 2 >= 0 /\ Ar_3 + 2 >= 0 /\ 2 >= Ar_0 ]
		(Comp: 2, Cost: 3)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 1)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 >= 1 /\ 1 >= 0 /\ Ar_3 + 1 >= 0 /\ 1 >= Ar_0 ]
		(Comp: 2, Cost: 2)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_0, 0)) [ Ar_3 >= 0 /\ Ar_3 >= Ar_2 /\ 0 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ 0 >= Ar_0 ]
		(Comp: 2, Cost: 1)     f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f34(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 >= 0 /\ Ar_3 + Ar_5 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_5 >= Ar_4 ]
		(Comp: ?, Cost: 1)     f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f25(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5 + 1)) [ Ar_5 >= 0 /\ Ar_3 + Ar_5 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_4 >= Ar_5 + 1 ]
		(Comp: ?, Cost: 1)     f12(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Ar_0, Ar_2, Ar_3 + 1, Ar_4, Ar_5)) [ Ar_3 >= 0 /\ Ar_2 >= Ar_3 + 1 ]
		(Comp: 1, Cost: 1)     koat_start(Ar_0, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f12(Fresh_1, Fresh_3, 0, Ar_4, Ar_5)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound ?

Time: 0.700 sec (SMT: 0.468 sec)
