
Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(0, 0, Ar_2, Ar_3, Ar_4))
		(Comp: ?, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 1, Fresh_4, Ar_4)) [ Ar_2 >= 1 /\ Fresh_4 >= 1 ]
		(Comp: ?, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 2, Fresh_3, Ar_4)) [ Ar_2 >= 1 /\ 0 >= Fresh_3 ]
		(Comp: ?, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_3, Fresh_2)) [ 0 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1)) [ Ar_4 >= 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ 0 >= Ar_4 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 1 produces the following problem:
2:	T:
		(Comp: 1, Cost: 1)    f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(0, 0, Ar_2, Ar_3, Ar_4))
		(Comp: ?, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 1, Fresh_4, Ar_4)) [ Ar_2 >= 1 /\ Fresh_4 >= 1 ]
		(Comp: ?, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 2, Fresh_3, Ar_4)) [ Ar_2 >= 1 /\ 0 >= Fresh_3 ]
		(Comp: ?, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_3, Fresh_2)) [ 0 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1)) [ Ar_4 >= 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ 0 >= Ar_4 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(f0) = 1
	Pol(f3) = 1
	Pol(f6) = 0
	Pol(koat_start) = 1
orients all transitions weakly and the transition
	f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_3, Fresh_2)) [ 0 >= Ar_2 ]
strictly and produces the following problem:
3:	T:
		(Comp: 1, Cost: 1)    f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(0, 0, Ar_2, Ar_3, Ar_4))
		(Comp: ?, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 1, Fresh_4, Ar_4)) [ Ar_2 >= 1 /\ Fresh_4 >= 1 ]
		(Comp: ?, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 2, Fresh_3, Ar_4)) [ Ar_2 >= 1 /\ 0 >= Fresh_3 ]
		(Comp: 1, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_3, Fresh_2)) [ 0 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1)) [ Ar_4 >= 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ 0 >= Ar_4 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(f0) = V_3
	Pol(f3) = V_3
	Pol(f6) = V_3
	Pol(koat_start) = V_3
orients all transitions weakly and the transitions
	f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 1, Fresh_4, Ar_4)) [ Ar_2 >= 1 /\ Fresh_4 >= 1 ]
	f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 2, Fresh_3, Ar_4)) [ Ar_2 >= 1 /\ 0 >= Fresh_3 ]
strictly and produces the following problem:
4:	T:
		(Comp: 1, Cost: 1)       f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(0, 0, Ar_2, Ar_3, Ar_4))
		(Comp: Ar_2, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 1, Fresh_4, Ar_4)) [ Ar_2 >= 1 /\ Fresh_4 >= 1 ]
		(Comp: Ar_2, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 2, Fresh_3, Ar_4)) [ Ar_2 >= 1 /\ 0 >= Fresh_3 ]
		(Comp: 1, Cost: 1)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_3, Fresh_2)) [ 0 >= Ar_2 ]
		(Comp: ?, Cost: 1)       f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1)) [ Ar_4 >= 1 ]
		(Comp: ?, Cost: 1)       f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ 0 >= Ar_4 ]
		(Comp: 1, Cost: 0)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Applied AI with 'oct' on problem 4 to obtain the following invariants:
  For symbol f3: -X_2 >= 0 /\ X_1 - X_2 >= 0 /\ -X_1 - X_2 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ -X_1 + X_2 >= 0 /\ -X_1 >= 0 /\ X_1 >= 0
  For symbol f6: -X_3 >= 0 /\ X_2 - X_3 >= 0 /\ -X_2 - X_3 >= 0 /\ X_1 - X_3 >= 0 /\ -X_2 >= 0 /\ X_1 - X_2 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ X_1 >= 0


This yielded the following problem:
5:	T:
		(Comp: 1, Cost: 0)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
		(Comp: ?, Cost: 1)       f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_4 ]
		(Comp: ?, Cost: 1)       f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1)) [ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= 1 ]
		(Comp: 1, Cost: 1)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_3, Fresh_2)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 ]
		(Comp: Ar_2, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 2, Fresh_3, Ar_4)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 /\ 0 >= Fresh_3 ]
		(Comp: Ar_2, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 1, Fresh_4, Ar_4)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 /\ Fresh_4 >= 1 ]
		(Comp: 1, Cost: 1)       f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(0, 0, Ar_2, Ar_3, Ar_4))
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] with all transitions in problem 5, the following new transition is obtained:
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(0, 0, Ar_2, Ar_3, Ar_4)) [ 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) -> Com_1(f3(0, 0, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
		(Comp: ?, Cost: 1)       f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_4 ]
		(Comp: ?, Cost: 1)       f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1)) [ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= 1 ]
		(Comp: 1, Cost: 1)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_3, Fresh_2)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 ]
		(Comp: Ar_2, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 2, Fresh_3, Ar_4)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 /\ 0 >= Fresh_3 ]
		(Comp: Ar_2, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 1, Fresh_4, Ar_4)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 /\ Fresh_4 >= 1 ]
		(Comp: 1, Cost: 1)       f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(0, 0, Ar_2, Ar_3, Ar_4))
	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_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(0, 0, Ar_2, Ar_3, Ar_4))
We thus obtain the following problem:
7:	T:
		(Comp: ?, Cost: 1)       f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1)) [ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= 1 ]
		(Comp: ?, Cost: 1)       f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_4 ]
		(Comp: Ar_2, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 1, Fresh_4, Ar_4)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 /\ Fresh_4 >= 1 ]
		(Comp: Ar_2, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 2, Fresh_3, Ar_4)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 /\ 0 >= Fresh_3 ]
		(Comp: 1, Cost: 1)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_3, Fresh_2)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 ]
		(Comp: 1, Cost: 1)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(0, 0, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_3, Fresh_2)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 ] with all transitions in problem 7, the following new transitions are obtained:
	f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 ]
	f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ 0 >= Fresh_2 ]
We thus obtain the following problem:
8:	T:
		(Comp: 1, Cost: 2)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 ]
		(Comp: 1, Cost: 2)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ 0 >= Fresh_2 ]
		(Comp: ?, Cost: 1)       f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1)) [ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= 1 ]
		(Comp: ?, Cost: 1)       f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_4 ]
		(Comp: Ar_2, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 1, Fresh_4, Ar_4)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 /\ Fresh_4 >= 1 ]
		(Comp: Ar_2, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 2, Fresh_3, Ar_4)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 /\ 0 >= Fresh_3 ]
		(Comp: 1, Cost: 1)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(0, 0, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 ] with all transitions in problem 8, the following new transitions are obtained:
	f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1')) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 ]
	f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ 0 >= Fresh_1 ]
We thus obtain the following problem:
9:	T:
		(Comp: 1, Cost: 3)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1')) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 3)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ 0 >= Fresh_1 ]
		(Comp: 1, Cost: 2)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ 0 >= Fresh_2 ]
		(Comp: ?, Cost: 1)       f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1)) [ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= 1 ]
		(Comp: ?, Cost: 1)       f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_4 ]
		(Comp: Ar_2, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 1, Fresh_4, Ar_4)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 /\ Fresh_4 >= 1 ]
		(Comp: Ar_2, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 2, Fresh_3, Ar_4)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 /\ 0 >= Fresh_3 ]
		(Comp: 1, Cost: 1)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(0, 0, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1')) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 ] with all transitions in problem 9, the following new transitions are obtained:
	f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1'')) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 ]
	f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ 0 >= Fresh_1' ]
We thus obtain the following problem:
10:	T:
		(Comp: 1, Cost: 4)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1'')) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 ]
		(Comp: 1, Cost: 4)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ 0 >= Fresh_1' ]
		(Comp: 1, Cost: 3)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ 0 >= Fresh_1 ]
		(Comp: 1, Cost: 2)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ 0 >= Fresh_2 ]
		(Comp: ?, Cost: 1)       f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1)) [ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= 1 ]
		(Comp: ?, Cost: 1)       f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_4 ]
		(Comp: Ar_2, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 1, Fresh_4, Ar_4)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 /\ Fresh_4 >= 1 ]
		(Comp: Ar_2, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 2, Fresh_3, Ar_4)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 /\ 0 >= Fresh_3 ]
		(Comp: 1, Cost: 1)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(0, 0, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1'')) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 ] with all transitions in problem 10, the following new transitions are obtained:
	f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1''')) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 ]
	f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ 0 >= Fresh_1'' ]
We thus obtain the following problem:
11:	T:
		(Comp: 1, Cost: 5)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1''')) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 ]
		(Comp: 1, Cost: 5)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ 0 >= Fresh_1'' ]
		(Comp: 1, Cost: 4)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ 0 >= Fresh_1' ]
		(Comp: 1, Cost: 3)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ 0 >= Fresh_1 ]
		(Comp: 1, Cost: 2)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ 0 >= Fresh_2 ]
		(Comp: ?, Cost: 1)       f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1)) [ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= 1 ]
		(Comp: ?, Cost: 1)       f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_4 ]
		(Comp: Ar_2, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 1, Fresh_4, Ar_4)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 /\ Fresh_4 >= 1 ]
		(Comp: Ar_2, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 2, Fresh_3, Ar_4)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 /\ 0 >= Fresh_3 ]
		(Comp: 1, Cost: 1)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(0, 0, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1''')) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 ] with all transitions in problem 11, the following new transitions are obtained:
	f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1'''')) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 ]
	f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ 0 >= Fresh_1''' ]
We thus obtain the following problem:
12:	T:
		(Comp: 1, Cost: 6)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1'''')) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 ]
		(Comp: 1, Cost: 6)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ 0 >= Fresh_1''' ]
		(Comp: 1, Cost: 5)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ 0 >= Fresh_1'' ]
		(Comp: 1, Cost: 4)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ 0 >= Fresh_1' ]
		(Comp: 1, Cost: 3)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ 0 >= Fresh_1 ]
		(Comp: 1, Cost: 2)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ 0 >= Fresh_2 ]
		(Comp: ?, Cost: 1)       f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1)) [ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= 1 ]
		(Comp: ?, Cost: 1)       f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_4 ]
		(Comp: Ar_2, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 1, Fresh_4, Ar_4)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 /\ Fresh_4 >= 1 ]
		(Comp: Ar_2, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 2, Fresh_3, Ar_4)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 /\ 0 >= Fresh_3 ]
		(Comp: 1, Cost: 1)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(0, 0, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1'''')) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 ] with all transitions in problem 12, the following new transitions are obtained:
	f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1''''')) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 ]
	f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ 0 >= Fresh_1'''' ]
We thus obtain the following problem:
13:	T:
		(Comp: 1, Cost: 7)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1''''')) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 ]
		(Comp: 1, Cost: 7)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ 0 >= Fresh_1'''' ]
		(Comp: 1, Cost: 6)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ 0 >= Fresh_1''' ]
		(Comp: 1, Cost: 5)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ 0 >= Fresh_1'' ]
		(Comp: 1, Cost: 4)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ 0 >= Fresh_1' ]
		(Comp: 1, Cost: 3)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ 0 >= Fresh_1 ]
		(Comp: 1, Cost: 2)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ 0 >= Fresh_2 ]
		(Comp: ?, Cost: 1)       f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1)) [ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= 1 ]
		(Comp: ?, Cost: 1)       f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_4 ]
		(Comp: Ar_2, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 1, Fresh_4, Ar_4)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 /\ Fresh_4 >= 1 ]
		(Comp: Ar_2, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 2, Fresh_3, Ar_4)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 /\ 0 >= Fresh_3 ]
		(Comp: 1, Cost: 1)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(0, 0, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1''''')) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 ] with all transitions in problem 13, the following new transitions are obtained:
	f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1'''''')) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 ]
	f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ 0 >= Fresh_1''''' ]
We thus obtain the following problem:
14:	T:
		(Comp: 1, Cost: 8)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1'''''')) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 ]
		(Comp: 1, Cost: 8)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ 0 >= Fresh_1''''' ]
		(Comp: 1, Cost: 7)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ 0 >= Fresh_1'''' ]
		(Comp: 1, Cost: 6)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ 0 >= Fresh_1''' ]
		(Comp: 1, Cost: 5)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ 0 >= Fresh_1'' ]
		(Comp: 1, Cost: 4)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ 0 >= Fresh_1' ]
		(Comp: 1, Cost: 3)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ 0 >= Fresh_1 ]
		(Comp: 1, Cost: 2)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ 0 >= Fresh_2 ]
		(Comp: ?, Cost: 1)       f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1)) [ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= 1 ]
		(Comp: ?, Cost: 1)       f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_4 ]
		(Comp: Ar_2, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 1, Fresh_4, Ar_4)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 /\ Fresh_4 >= 1 ]
		(Comp: Ar_2, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 2, Fresh_3, Ar_4)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 /\ 0 >= Fresh_3 ]
		(Comp: 1, Cost: 1)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(0, 0, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1'''''')) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 ] with all transitions in problem 14, the following new transitions are obtained:
	f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1''''''')) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 ]
	f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ 0 >= Fresh_1'''''' ]
We thus obtain the following problem:
15:	T:
		(Comp: 1, Cost: 9)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1''''''')) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 ]
		(Comp: 1, Cost: 9)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ 0 >= Fresh_1'''''' ]
		(Comp: 1, Cost: 8)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ 0 >= Fresh_1''''' ]
		(Comp: 1, Cost: 7)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ 0 >= Fresh_1'''' ]
		(Comp: 1, Cost: 6)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ 0 >= Fresh_1''' ]
		(Comp: 1, Cost: 5)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ 0 >= Fresh_1'' ]
		(Comp: 1, Cost: 4)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ 0 >= Fresh_1' ]
		(Comp: 1, Cost: 3)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ 0 >= Fresh_1 ]
		(Comp: 1, Cost: 2)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ 0 >= Fresh_2 ]
		(Comp: ?, Cost: 1)       f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1)) [ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= 1 ]
		(Comp: ?, Cost: 1)       f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_4 ]
		(Comp: Ar_2, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 1, Fresh_4, Ar_4)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 /\ Fresh_4 >= 1 ]
		(Comp: Ar_2, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 2, Fresh_3, Ar_4)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 /\ 0 >= Fresh_3 ]
		(Comp: 1, Cost: 1)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(0, 0, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1''''''')) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 ] with all transitions in problem 15, the following new transitions are obtained:
	f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1'''''''')) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ Fresh_1''''''' >= 1 ]
	f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ 0 >= Fresh_1''''''' ]
We thus obtain the following problem:
16:	T:
		(Comp: 1, Cost: 10)      f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1'''''''')) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ Fresh_1''''''' >= 1 ]
		(Comp: 1, Cost: 10)      f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ 0 >= Fresh_1''''''' ]
		(Comp: 1, Cost: 9)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ 0 >= Fresh_1'''''' ]
		(Comp: 1, Cost: 8)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ 0 >= Fresh_1''''' ]
		(Comp: 1, Cost: 7)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ 0 >= Fresh_1'''' ]
		(Comp: 1, Cost: 6)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ 0 >= Fresh_1''' ]
		(Comp: 1, Cost: 5)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ 0 >= Fresh_1'' ]
		(Comp: 1, Cost: 4)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ 0 >= Fresh_1' ]
		(Comp: 1, Cost: 3)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ 0 >= Fresh_1 ]
		(Comp: 1, Cost: 2)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ 0 >= Fresh_2 ]
		(Comp: ?, Cost: 1)       f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1)) [ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= 1 ]
		(Comp: ?, Cost: 1)       f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_4 ]
		(Comp: Ar_2, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 1, Fresh_4, Ar_4)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 /\ Fresh_4 >= 1 ]
		(Comp: Ar_2, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 2, Fresh_3, Ar_4)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 /\ 0 >= Fresh_3 ]
		(Comp: 1, Cost: 1)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(0, 0, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1'''''''')) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ Fresh_1''''''' >= 1 ] with all transitions in problem 16, the following new transitions are obtained:
	f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1''''''''')) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ Fresh_1''''''' >= 1 /\ Fresh_1'''''''' >= 1 ]
	f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ Fresh_1''''''' >= 1 /\ 0 >= Fresh_1'''''''' ]
We thus obtain the following problem:
17:	T:
		(Comp: 1, Cost: 11)      f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1''''''''')) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ Fresh_1''''''' >= 1 /\ Fresh_1'''''''' >= 1 ]
		(Comp: 1, Cost: 11)      f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ Fresh_1''''''' >= 1 /\ 0 >= Fresh_1'''''''' ]
		(Comp: 1, Cost: 10)      f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ 0 >= Fresh_1''''''' ]
		(Comp: 1, Cost: 9)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ 0 >= Fresh_1'''''' ]
		(Comp: 1, Cost: 8)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ 0 >= Fresh_1''''' ]
		(Comp: 1, Cost: 7)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ 0 >= Fresh_1'''' ]
		(Comp: 1, Cost: 6)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ 0 >= Fresh_1''' ]
		(Comp: 1, Cost: 5)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ 0 >= Fresh_1'' ]
		(Comp: 1, Cost: 4)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ 0 >= Fresh_1' ]
		(Comp: 1, Cost: 3)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ 0 >= Fresh_1 ]
		(Comp: 1, Cost: 2)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ 0 >= Fresh_2 ]
		(Comp: ?, Cost: 1)       f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1)) [ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= 1 ]
		(Comp: ?, Cost: 1)       f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_4 ]
		(Comp: Ar_2, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 1, Fresh_4, Ar_4)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 /\ Fresh_4 >= 1 ]
		(Comp: Ar_2, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 2, Fresh_3, Ar_4)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 /\ 0 >= Fresh_3 ]
		(Comp: 1, Cost: 1)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(0, 0, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1''''''''')) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ Fresh_1''''''' >= 1 /\ Fresh_1'''''''' >= 1 ] with all transitions in problem 17, the following new transitions are obtained:
	f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1'''''''''')) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ Fresh_1''''''' >= 1 /\ Fresh_1'''''''' >= 1 /\ Fresh_1''''''''' >= 1 ]
	f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ Fresh_1''''''' >= 1 /\ Fresh_1'''''''' >= 1 /\ 0 >= Fresh_1''''''''' ]
We thus obtain the following problem:
18:	T:
		(Comp: 1, Cost: 12)      f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1'''''''''')) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ Fresh_1''''''' >= 1 /\ Fresh_1'''''''' >= 1 /\ Fresh_1''''''''' >= 1 ]
		(Comp: 1, Cost: 12)      f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ Fresh_1''''''' >= 1 /\ Fresh_1'''''''' >= 1 /\ 0 >= Fresh_1''''''''' ]
		(Comp: 1, Cost: 11)      f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ Fresh_1''''''' >= 1 /\ 0 >= Fresh_1'''''''' ]
		(Comp: 1, Cost: 10)      f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ 0 >= Fresh_1''''''' ]
		(Comp: 1, Cost: 9)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ 0 >= Fresh_1'''''' ]
		(Comp: 1, Cost: 8)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ 0 >= Fresh_1''''' ]
		(Comp: 1, Cost: 7)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ 0 >= Fresh_1'''' ]
		(Comp: 1, Cost: 6)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ 0 >= Fresh_1''' ]
		(Comp: 1, Cost: 5)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ 0 >= Fresh_1'' ]
		(Comp: 1, Cost: 4)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ 0 >= Fresh_1' ]
		(Comp: 1, Cost: 3)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ 0 >= Fresh_1 ]
		(Comp: 1, Cost: 2)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ 0 >= Fresh_2 ]
		(Comp: ?, Cost: 1)       f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1)) [ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= 1 ]
		(Comp: ?, Cost: 1)       f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_4 ]
		(Comp: Ar_2, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 1, Fresh_4, Ar_4)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 /\ Fresh_4 >= 1 ]
		(Comp: Ar_2, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 2, Fresh_3, Ar_4)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 /\ 0 >= Fresh_3 ]
		(Comp: 1, Cost: 1)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(0, 0, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1'''''''''')) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ Fresh_1''''''' >= 1 /\ Fresh_1'''''''' >= 1 /\ Fresh_1''''''''' >= 1 ] with all transitions in problem 18, the following new transitions are obtained:
	f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1''''''''''')) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ Fresh_1''''''' >= 1 /\ Fresh_1'''''''' >= 1 /\ Fresh_1''''''''' >= 1 /\ Fresh_1'''''''''' >= 1 ]
	f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ Fresh_1''''''' >= 1 /\ Fresh_1'''''''' >= 1 /\ Fresh_1''''''''' >= 1 /\ 0 >= Fresh_1'''''''''' ]
We thus obtain the following problem:
19:	T:
		(Comp: 1, Cost: 13)      f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1''''''''''')) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ Fresh_1''''''' >= 1 /\ Fresh_1'''''''' >= 1 /\ Fresh_1''''''''' >= 1 /\ Fresh_1'''''''''' >= 1 ]
		(Comp: 1, Cost: 13)      f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ Fresh_1''''''' >= 1 /\ Fresh_1'''''''' >= 1 /\ Fresh_1''''''''' >= 1 /\ 0 >= Fresh_1'''''''''' ]
		(Comp: 1, Cost: 12)      f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ Fresh_1''''''' >= 1 /\ Fresh_1'''''''' >= 1 /\ 0 >= Fresh_1''''''''' ]
		(Comp: 1, Cost: 11)      f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ Fresh_1''''''' >= 1 /\ 0 >= Fresh_1'''''''' ]
		(Comp: 1, Cost: 10)      f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ 0 >= Fresh_1''''''' ]
		(Comp: 1, Cost: 9)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ 0 >= Fresh_1'''''' ]
		(Comp: 1, Cost: 8)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ 0 >= Fresh_1''''' ]
		(Comp: 1, Cost: 7)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ 0 >= Fresh_1'''' ]
		(Comp: 1, Cost: 6)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ 0 >= Fresh_1''' ]
		(Comp: 1, Cost: 5)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ 0 >= Fresh_1'' ]
		(Comp: 1, Cost: 4)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ 0 >= Fresh_1' ]
		(Comp: 1, Cost: 3)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ 0 >= Fresh_1 ]
		(Comp: 1, Cost: 2)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ 0 >= Fresh_2 ]
		(Comp: ?, Cost: 1)       f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1)) [ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= 1 ]
		(Comp: ?, Cost: 1)       f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_4 ]
		(Comp: Ar_2, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 1, Fresh_4, Ar_4)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 /\ Fresh_4 >= 1 ]
		(Comp: Ar_2, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 2, Fresh_3, Ar_4)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 /\ 0 >= Fresh_3 ]
		(Comp: 1, Cost: 1)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(0, 0, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1''''''''''')) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ Fresh_1''''''' >= 1 /\ Fresh_1'''''''' >= 1 /\ Fresh_1''''''''' >= 1 /\ Fresh_1'''''''''' >= 1 ] with all transitions in problem 19, the following new transitions are obtained:
	f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1'''''''''''')) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ Fresh_1''''''' >= 1 /\ Fresh_1'''''''' >= 1 /\ Fresh_1''''''''' >= 1 /\ Fresh_1'''''''''' >= 1 /\ Fresh_1''''''''''' >= 1 ]
	f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ Fresh_1''''''' >= 1 /\ Fresh_1'''''''' >= 1 /\ Fresh_1''''''''' >= 1 /\ Fresh_1'''''''''' >= 1 /\ 0 >= Fresh_1''''''''''' ]
We thus obtain the following problem:
20:	T:
		(Comp: 1, Cost: 14)      f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1'''''''''''')) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ Fresh_1''''''' >= 1 /\ Fresh_1'''''''' >= 1 /\ Fresh_1''''''''' >= 1 /\ Fresh_1'''''''''' >= 1 /\ Fresh_1''''''''''' >= 1 ]
		(Comp: 1, Cost: 14)      f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ Fresh_1''''''' >= 1 /\ Fresh_1'''''''' >= 1 /\ Fresh_1''''''''' >= 1 /\ Fresh_1'''''''''' >= 1 /\ 0 >= Fresh_1''''''''''' ]
		(Comp: 1, Cost: 13)      f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ Fresh_1''''''' >= 1 /\ Fresh_1'''''''' >= 1 /\ Fresh_1''''''''' >= 1 /\ 0 >= Fresh_1'''''''''' ]
		(Comp: 1, Cost: 12)      f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ Fresh_1''''''' >= 1 /\ Fresh_1'''''''' >= 1 /\ 0 >= Fresh_1''''''''' ]
		(Comp: 1, Cost: 11)      f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ Fresh_1''''''' >= 1 /\ 0 >= Fresh_1'''''''' ]
		(Comp: 1, Cost: 10)      f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ 0 >= Fresh_1''''''' ]
		(Comp: 1, Cost: 9)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ 0 >= Fresh_1'''''' ]
		(Comp: 1, Cost: 8)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ 0 >= Fresh_1''''' ]
		(Comp: 1, Cost: 7)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ 0 >= Fresh_1'''' ]
		(Comp: 1, Cost: 6)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ 0 >= Fresh_1''' ]
		(Comp: 1, Cost: 5)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ 0 >= Fresh_1'' ]
		(Comp: 1, Cost: 4)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ 0 >= Fresh_1' ]
		(Comp: 1, Cost: 3)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ 0 >= Fresh_1 ]
		(Comp: 1, Cost: 2)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ 0 >= Fresh_2 ]
		(Comp: ?, Cost: 1)       f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1)) [ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= 1 ]
		(Comp: ?, Cost: 1)       f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_4 ]
		(Comp: Ar_2, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 1, Fresh_4, Ar_4)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 /\ Fresh_4 >= 1 ]
		(Comp: Ar_2, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 2, Fresh_3, Ar_4)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 /\ 0 >= Fresh_3 ]
		(Comp: 1, Cost: 1)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(0, 0, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1'''''''''''')) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ Fresh_1''''''' >= 1 /\ Fresh_1'''''''' >= 1 /\ Fresh_1''''''''' >= 1 /\ Fresh_1'''''''''' >= 1 /\ Fresh_1''''''''''' >= 1 ] with all transitions in problem 20, the following new transitions are obtained:
	f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1''''''''''''')) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ Fresh_1''''''' >= 1 /\ Fresh_1'''''''' >= 1 /\ Fresh_1''''''''' >= 1 /\ Fresh_1'''''''''' >= 1 /\ Fresh_1''''''''''' >= 1 /\ Fresh_1'''''''''''' >= 1 ]
	f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ Fresh_1''''''' >= 1 /\ Fresh_1'''''''' >= 1 /\ Fresh_1''''''''' >= 1 /\ Fresh_1'''''''''' >= 1 /\ Fresh_1''''''''''' >= 1 /\ 0 >= Fresh_1'''''''''''' ]
We thus obtain the following problem:
21:	T:
		(Comp: 1, Cost: 15)      f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1''''''''''''')) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ Fresh_1''''''' >= 1 /\ Fresh_1'''''''' >= 1 /\ Fresh_1''''''''' >= 1 /\ Fresh_1'''''''''' >= 1 /\ Fresh_1''''''''''' >= 1 /\ Fresh_1'''''''''''' >= 1 ]
		(Comp: 1, Cost: 15)      f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ Fresh_1''''''' >= 1 /\ Fresh_1'''''''' >= 1 /\ Fresh_1''''''''' >= 1 /\ Fresh_1'''''''''' >= 1 /\ Fresh_1''''''''''' >= 1 /\ 0 >= Fresh_1'''''''''''' ]
		(Comp: 1, Cost: 14)      f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ Fresh_1''''''' >= 1 /\ Fresh_1'''''''' >= 1 /\ Fresh_1''''''''' >= 1 /\ Fresh_1'''''''''' >= 1 /\ 0 >= Fresh_1''''''''''' ]
		(Comp: 1, Cost: 13)      f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ Fresh_1''''''' >= 1 /\ Fresh_1'''''''' >= 1 /\ Fresh_1''''''''' >= 1 /\ 0 >= Fresh_1'''''''''' ]
		(Comp: 1, Cost: 12)      f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ Fresh_1''''''' >= 1 /\ Fresh_1'''''''' >= 1 /\ 0 >= Fresh_1''''''''' ]
		(Comp: 1, Cost: 11)      f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ Fresh_1''''''' >= 1 /\ 0 >= Fresh_1'''''''' ]
		(Comp: 1, Cost: 10)      f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ Fresh_1'''''' >= 1 /\ 0 >= Fresh_1''''''' ]
		(Comp: 1, Cost: 9)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ Fresh_1''''' >= 1 /\ 0 >= Fresh_1'''''' ]
		(Comp: 1, Cost: 8)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ Fresh_1'''' >= 1 /\ 0 >= Fresh_1''''' ]
		(Comp: 1, Cost: 7)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ Fresh_1''' >= 1 /\ 0 >= Fresh_1'''' ]
		(Comp: 1, Cost: 6)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ Fresh_1'' >= 1 /\ 0 >= Fresh_1''' ]
		(Comp: 1, Cost: 5)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ Fresh_1' >= 1 /\ 0 >= Fresh_1'' ]
		(Comp: 1, Cost: 4)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ Fresh_1 >= 1 /\ 0 >= Fresh_1' ]
		(Comp: 1, Cost: 3)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Fresh_2 >= 1 /\ -Ar_2 + 1 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_1 + 1 >= 0 /\ 1 >= 0 /\ 0 >= Fresh_1 ]
		(Comp: 1, Cost: 2)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_2 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ 0 >= Fresh_2 ]
		(Comp: ?, Cost: 1)       f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(1, Ar_1, Ar_2, Ar_3, Fresh_1)) [ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= 1 ]
		(Comp: ?, Cost: 1)       f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f6(0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_4 ]
		(Comp: Ar_2, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 1, Fresh_4, Ar_4)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 /\ Fresh_4 >= 1 ]
		(Comp: Ar_2, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2 - 2, Fresh_3, Ar_4)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 1 /\ 0 >= Fresh_3 ]
		(Comp: 1, Cost: 1)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(0, 0, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound ?

Time: 0.832 sec (SMT: 0.546 sec)
