
Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0, 1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 2 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ 1 >= Ar_0 ]
		(Comp: ?, Cost: 1)    f30(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(2, Ar_1, 2, Fresh_2, Ar_4))
		(Comp: ?, Cost: 1)    f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(Ar_0 - 1, Ar_1, Ar_2, Fresh_1, Ar_4)) [ 0 >= Fresh_1 /\ Fresh_1 >= 1 ]
		(Comp: ?, Cost: 1)    f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Fresh_0 >= 1 ]
		(Comp: ?, Cost: 1)    f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2, Ar_3, 0)) [ 0 >= Ar_1 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f30(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 1:
	f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(Ar_0 - 1, Ar_1, Ar_2, Fresh_1, Ar_4)) [ 0 >= Fresh_1 /\ Fresh_1 >= 1 ]
We thus obtain the following problem:
2:	T:
		(Comp: ?, Cost: 1)    f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2, Ar_3, 0)) [ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ 1 >= Ar_0 ]
		(Comp: ?, Cost: 1)    f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Fresh_0 >= 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0, 1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 2 ]
		(Comp: ?, Cost: 1)    f30(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(2, Ar_1, 2, Fresh_2, Ar_4))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f30(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 2 produces the following problem:
3:	T:
		(Comp: ?, Cost: 1)    f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2, Ar_3, 0)) [ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ 1 >= Ar_0 ]
		(Comp: ?, Cost: 1)    f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Fresh_0 >= 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0, 1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 2 ]
		(Comp: 1, Cost: 1)    f30(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(2, Ar_1, 2, Fresh_2, Ar_4))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f30(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(f5) = 1
	Pol(f3) = 0
	Pol(f4) = 1
	Pol(f30) = 1
	Pol(koat_start) = 1
orients all transitions weakly and the transition
	f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2, Ar_3, 0)) [ 0 >= Ar_1 ]
strictly and produces the following problem:
4:	T:
		(Comp: 1, Cost: 1)    f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2, Ar_3, 0)) [ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ 1 >= Ar_0 ]
		(Comp: ?, Cost: 1)    f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Fresh_0 >= 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0, 1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 2 ]
		(Comp: 1, Cost: 1)    f30(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(2, Ar_1, 2, Fresh_2, Ar_4))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f30(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(f5) = -V_1 + 1
	Pol(f3) = -V_1 + 1
	Pol(f4) = -V_1 + 2
	Pol(f30) = 0
	Pol(koat_start) = 0
orients all transitions weakly and the transition
	f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ 1 >= Ar_0 ]
strictly and produces the following problem:
5:	T:
		(Comp: 1, Cost: 1)    f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2, Ar_3, 0)) [ 0 >= Ar_1 ]
		(Comp: 0, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ 1 >= Ar_0 ]
		(Comp: ?, Cost: 1)    f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Fresh_0 >= 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0, 1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 2 ]
		(Comp: 1, Cost: 1)    f30(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(2, Ar_1, 2, Fresh_2, Ar_4))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f30(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 5 to obtain the following invariants:
  For symbol f4: -X_3 + 2 >= 0 /\ X_1 - X_3 >= 0 /\ X_3 - 2 >= 0 /\ X_1 + X_3 - 4 >= 0 /\ X_1 - 2 >= 0
  For symbol f5: -X_3 + 2 >= 0 /\ X_2 - X_3 + 1 >= 0 /\ -X_2 - X_3 + 3 >= 0 /\ X_1 - X_3 >= 0 /\ X_3 - 2 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ -X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 4 >= 0 /\ -X_2 + 1 >= 0 /\ X_1 - X_2 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ X_1 - 2 >= 0


This yielded the following problem:
6:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f30(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)    f30(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(2, Ar_1, 2, Fresh_2, Ar_4))
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0, 1, Ar_2, Ar_3, Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 ]
		(Comp: ?, Cost: 1)    f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2, Fresh_0, Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_1 - Ar_2 + 1 >= 0 /\ -Ar_1 - Ar_2 + 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ Fresh_0 >= 1 ]
		(Comp: 0, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ 1 >= Ar_0 ]
		(Comp: 1, Cost: 1)    f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2, Ar_3, 0)) [ -Ar_2 + 2 >= 0 /\ Ar_1 - Ar_2 + 1 >= 0 /\ -Ar_1 - Ar_2 + 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ 0 >= Ar_1 ]
	start location:	koat_start
	leaf cost:	0

Testing for unsatisfiable constraints removes the following transitions from problem 6:
	f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ 1 >= Ar_0 ]
	f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f3(Ar_0, Ar_1, Ar_2, Ar_3, 0)) [ -Ar_2 + 2 >= 0 /\ Ar_1 - Ar_2 + 1 >= 0 /\ -Ar_1 - Ar_2 + 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ 0 >= Ar_1 ]
We thus obtain the following problem:
7:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f30(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)    f30(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(2, Ar_1, 2, Fresh_2, Ar_4))
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0, 1, Ar_2, Ar_3, Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 ]
		(Comp: ?, Cost: 1)    f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2, Fresh_0, Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_1 - Ar_2 + 1 >= 0 /\ -Ar_1 - Ar_2 + 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ Fresh_0 >= 1 ]
	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(f30(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] with all transitions in problem 7, the following new transition is obtained:
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(2, Ar_1, 2, Fresh_2, Ar_4)) [ 0 <= 0 ]
We thus obtain the following problem:
8:	T:
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(2, Ar_1, 2, Fresh_2, Ar_4)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)    f30(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(2, Ar_1, 2, Fresh_2, Ar_4))
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0, 1, Ar_2, Ar_3, Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 ]
		(Comp: ?, Cost: 1)    f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2, Fresh_0, Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_1 - Ar_2 + 1 >= 0 /\ -Ar_1 - Ar_2 + 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ Fresh_0 >= 1 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 8:
	f30(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(2, Ar_1, 2, Fresh_2, Ar_4))
We thus obtain the following problem:
9:	T:
		(Comp: ?, Cost: 1)    f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2, Fresh_0, Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_1 - Ar_2 + 1 >= 0 /\ -Ar_1 - Ar_2 + 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ Fresh_0 >= 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0, 1, Ar_2, Ar_3, Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(2, Ar_1, 2, Fresh_2, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2, Fresh_0, Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_1 - Ar_2 + 1 >= 0 /\ -Ar_1 - Ar_2 + 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ Fresh_0 >= 1 ] with all transitions in problem 9, the following new transition is obtained:
	f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_1 - Ar_2 + 1 >= 0 /\ -Ar_1 - Ar_2 + 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 ]
We thus obtain the following problem:
10:	T:
		(Comp: ?, Cost: 2)    f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_1 - Ar_2 + 1 >= 0 /\ -Ar_1 - Ar_2 + 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0, 1, Ar_2, Ar_3, Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(2, Ar_1, 2, Fresh_2, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 10 produces the following problem:
11:	T:
		(Comp: ?, Cost: 2)    f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_1 - Ar_2 + 1 >= 0 /\ -Ar_1 - Ar_2 + 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 ]
		(Comp: 1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0, 1, Ar_2, Ar_3, Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(2, Ar_1, 2, Fresh_2, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0, 1, Ar_2, Ar_3, Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 ] with all transitions in problem 11, the following new transition is obtained:
	f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 /\ 0 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 ]
We thus obtain the following problem:
12:	T:
		(Comp: 1, Cost: 3)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 /\ 0 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 ]
		(Comp: ?, Cost: 2)    f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_1 - Ar_2 + 1 >= 0 /\ -Ar_1 - Ar_2 + 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(2, Ar_1, 2, Fresh_2, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 /\ 0 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 ] with all transitions in problem 12, the following new transition is obtained:
	f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 2, 1, Ar_2, Fresh_0', Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 /\ 0 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 /\ Fresh_0' >= 1 /\ Ar_0 - Ar_2 + 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 >= 0 /\ Ar_0 + 2 >= 2 ]
We thus obtain the following problem:
13:	T:
		(Comp: 1, Cost: 5)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 2, 1, Ar_2, Fresh_0', Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 /\ 0 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 /\ Fresh_0' >= 1 /\ Ar_0 - Ar_2 + 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 >= 0 /\ Ar_0 + 2 >= 2 ]
		(Comp: ?, Cost: 2)    f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_1 - Ar_2 + 1 >= 0 /\ -Ar_1 - Ar_2 + 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(2, Ar_1, 2, Fresh_2, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 2, 1, Ar_2, Fresh_0', Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 /\ 0 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 /\ Fresh_0' >= 1 /\ Ar_0 - Ar_2 + 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 >= 0 /\ Ar_0 + 2 >= 2 ] with all transitions in problem 13, the following new transition is obtained:
	f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 3, 1, Ar_2, Fresh_0'', Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 /\ 0 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 /\ Fresh_0' >= 1 /\ Ar_0 - Ar_2 + 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 >= 0 /\ Ar_0 + 2 >= 2 /\ Fresh_0'' >= 1 /\ Ar_0 - Ar_2 + 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 + 1 >= 0 /\ Ar_0 + 3 >= 2 ]
We thus obtain the following problem:
14:	T:
		(Comp: 1, Cost: 7)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 3, 1, Ar_2, Fresh_0'', Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 /\ 0 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 /\ Fresh_0' >= 1 /\ Ar_0 - Ar_2 + 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 >= 0 /\ Ar_0 + 2 >= 2 /\ Fresh_0'' >= 1 /\ Ar_0 - Ar_2 + 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 + 1 >= 0 /\ Ar_0 + 3 >= 2 ]
		(Comp: ?, Cost: 2)    f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_1 - Ar_2 + 1 >= 0 /\ -Ar_1 - Ar_2 + 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(2, Ar_1, 2, Fresh_2, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 3, 1, Ar_2, Fresh_0'', Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 /\ 0 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 /\ Fresh_0' >= 1 /\ Ar_0 - Ar_2 + 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 >= 0 /\ Ar_0 + 2 >= 2 /\ Fresh_0'' >= 1 /\ Ar_0 - Ar_2 + 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 + 1 >= 0 /\ Ar_0 + 3 >= 2 ] with all transitions in problem 14, the following new transition is obtained:
	f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 4, 1, Ar_2, Fresh_0''', Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 /\ 0 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 /\ Fresh_0' >= 1 /\ Ar_0 - Ar_2 + 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 >= 0 /\ Ar_0 + 2 >= 2 /\ Fresh_0'' >= 1 /\ Ar_0 - Ar_2 + 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 + 1 >= 0 /\ Ar_0 + 3 >= 2 /\ Fresh_0''' >= 1 /\ Ar_0 - Ar_2 + 4 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 + 2 >= 0 /\ Ar_0 + 4 >= 2 ]
We thus obtain the following problem:
15:	T:
		(Comp: 1, Cost: 9)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 4, 1, Ar_2, Fresh_0''', Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 /\ 0 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 /\ Fresh_0' >= 1 /\ Ar_0 - Ar_2 + 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 >= 0 /\ Ar_0 + 2 >= 2 /\ Fresh_0'' >= 1 /\ Ar_0 - Ar_2 + 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 + 1 >= 0 /\ Ar_0 + 3 >= 2 /\ Fresh_0''' >= 1 /\ Ar_0 - Ar_2 + 4 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 + 2 >= 0 /\ Ar_0 + 4 >= 2 ]
		(Comp: ?, Cost: 2)    f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_1 - Ar_2 + 1 >= 0 /\ -Ar_1 - Ar_2 + 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(2, Ar_1, 2, Fresh_2, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 4, 1, Ar_2, Fresh_0''', Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 /\ 0 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 /\ Fresh_0' >= 1 /\ Ar_0 - Ar_2 + 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 >= 0 /\ Ar_0 + 2 >= 2 /\ Fresh_0'' >= 1 /\ Ar_0 - Ar_2 + 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 + 1 >= 0 /\ Ar_0 + 3 >= 2 /\ Fresh_0''' >= 1 /\ Ar_0 - Ar_2 + 4 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 + 2 >= 0 /\ Ar_0 + 4 >= 2 ] with all transitions in problem 15, the following new transition is obtained:
	f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 5, 1, Ar_2, Fresh_0'''', Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 /\ 0 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 /\ Fresh_0' >= 1 /\ Ar_0 - Ar_2 + 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 >= 0 /\ Ar_0 + 2 >= 2 /\ Fresh_0'' >= 1 /\ Ar_0 - Ar_2 + 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 + 1 >= 0 /\ Ar_0 + 3 >= 2 /\ Fresh_0''' >= 1 /\ Ar_0 - Ar_2 + 4 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 + 2 >= 0 /\ Ar_0 + 4 >= 2 /\ Fresh_0'''' >= 1 /\ Ar_0 - Ar_2 + 5 >= 0 /\ Ar_0 + Ar_2 + 1 >= 0 /\ Ar_0 + 3 >= 0 /\ Ar_0 + 5 >= 2 ]
We thus obtain the following problem:
16:	T:
		(Comp: 1, Cost: 11)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 5, 1, Ar_2, Fresh_0'''', Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 /\ 0 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 /\ Fresh_0' >= 1 /\ Ar_0 - Ar_2 + 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 >= 0 /\ Ar_0 + 2 >= 2 /\ Fresh_0'' >= 1 /\ Ar_0 - Ar_2 + 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 + 1 >= 0 /\ Ar_0 + 3 >= 2 /\ Fresh_0''' >= 1 /\ Ar_0 - Ar_2 + 4 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 + 2 >= 0 /\ Ar_0 + 4 >= 2 /\ Fresh_0'''' >= 1 /\ Ar_0 - Ar_2 + 5 >= 0 /\ Ar_0 + Ar_2 + 1 >= 0 /\ Ar_0 + 3 >= 0 /\ Ar_0 + 5 >= 2 ]
		(Comp: ?, Cost: 2)     f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_1 - Ar_2 + 1 >= 0 /\ -Ar_1 - Ar_2 + 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 ]
		(Comp: 1, Cost: 1)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(2, Ar_1, 2, Fresh_2, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 5, 1, Ar_2, Fresh_0'''', Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 /\ 0 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 /\ Fresh_0' >= 1 /\ Ar_0 - Ar_2 + 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 >= 0 /\ Ar_0 + 2 >= 2 /\ Fresh_0'' >= 1 /\ Ar_0 - Ar_2 + 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 + 1 >= 0 /\ Ar_0 + 3 >= 2 /\ Fresh_0''' >= 1 /\ Ar_0 - Ar_2 + 4 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 + 2 >= 0 /\ Ar_0 + 4 >= 2 /\ Fresh_0'''' >= 1 /\ Ar_0 - Ar_2 + 5 >= 0 /\ Ar_0 + Ar_2 + 1 >= 0 /\ Ar_0 + 3 >= 0 /\ Ar_0 + 5 >= 2 ] with all transitions in problem 16, the following new transition is obtained:
	f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 6, 1, Ar_2, Fresh_0''''', Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 /\ 0 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 /\ Fresh_0' >= 1 /\ Ar_0 - Ar_2 + 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 >= 0 /\ Ar_0 + 2 >= 2 /\ Fresh_0'' >= 1 /\ Ar_0 - Ar_2 + 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 + 1 >= 0 /\ Ar_0 + 3 >= 2 /\ Fresh_0''' >= 1 /\ Ar_0 - Ar_2 + 4 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 + 2 >= 0 /\ Ar_0 + 4 >= 2 /\ Fresh_0'''' >= 1 /\ Ar_0 - Ar_2 + 5 >= 0 /\ Ar_0 + Ar_2 + 1 >= 0 /\ Ar_0 + 3 >= 0 /\ Ar_0 + 5 >= 2 /\ Fresh_0''''' >= 1 /\ Ar_0 - Ar_2 + 6 >= 0 /\ Ar_0 + Ar_2 + 2 >= 0 /\ Ar_0 + 4 >= 0 /\ Ar_0 + 6 >= 2 ]
We thus obtain the following problem:
17:	T:
		(Comp: 1, Cost: 13)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 6, 1, Ar_2, Fresh_0''''', Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 /\ 0 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 /\ Fresh_0' >= 1 /\ Ar_0 - Ar_2 + 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 >= 0 /\ Ar_0 + 2 >= 2 /\ Fresh_0'' >= 1 /\ Ar_0 - Ar_2 + 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 + 1 >= 0 /\ Ar_0 + 3 >= 2 /\ Fresh_0''' >= 1 /\ Ar_0 - Ar_2 + 4 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 + 2 >= 0 /\ Ar_0 + 4 >= 2 /\ Fresh_0'''' >= 1 /\ Ar_0 - Ar_2 + 5 >= 0 /\ Ar_0 + Ar_2 + 1 >= 0 /\ Ar_0 + 3 >= 0 /\ Ar_0 + 5 >= 2 /\ Fresh_0''''' >= 1 /\ Ar_0 - Ar_2 + 6 >= 0 /\ Ar_0 + Ar_2 + 2 >= 0 /\ Ar_0 + 4 >= 0 /\ Ar_0 + 6 >= 2 ]
		(Comp: ?, Cost: 2)     f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_1 - Ar_2 + 1 >= 0 /\ -Ar_1 - Ar_2 + 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 ]
		(Comp: 1, Cost: 1)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(2, Ar_1, 2, Fresh_2, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 6, 1, Ar_2, Fresh_0''''', Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 /\ 0 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 /\ Fresh_0' >= 1 /\ Ar_0 - Ar_2 + 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 >= 0 /\ Ar_0 + 2 >= 2 /\ Fresh_0'' >= 1 /\ Ar_0 - Ar_2 + 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 + 1 >= 0 /\ Ar_0 + 3 >= 2 /\ Fresh_0''' >= 1 /\ Ar_0 - Ar_2 + 4 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 + 2 >= 0 /\ Ar_0 + 4 >= 2 /\ Fresh_0'''' >= 1 /\ Ar_0 - Ar_2 + 5 >= 0 /\ Ar_0 + Ar_2 + 1 >= 0 /\ Ar_0 + 3 >= 0 /\ Ar_0 + 5 >= 2 /\ Fresh_0''''' >= 1 /\ Ar_0 - Ar_2 + 6 >= 0 /\ Ar_0 + Ar_2 + 2 >= 0 /\ Ar_0 + 4 >= 0 /\ Ar_0 + 6 >= 2 ] with all transitions in problem 17, the following new transition is obtained:
	f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 7, 1, Ar_2, Fresh_0'''''', Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 /\ 0 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 /\ Fresh_0' >= 1 /\ Ar_0 - Ar_2 + 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 >= 0 /\ Ar_0 + 2 >= 2 /\ Fresh_0'' >= 1 /\ Ar_0 - Ar_2 + 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 + 1 >= 0 /\ Ar_0 + 3 >= 2 /\ Fresh_0''' >= 1 /\ Ar_0 - Ar_2 + 4 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 + 2 >= 0 /\ Ar_0 + 4 >= 2 /\ Fresh_0'''' >= 1 /\ Ar_0 - Ar_2 + 5 >= 0 /\ Ar_0 + Ar_2 + 1 >= 0 /\ Ar_0 + 3 >= 0 /\ Ar_0 + 5 >= 2 /\ Fresh_0''''' >= 1 /\ Ar_0 - Ar_2 + 6 >= 0 /\ Ar_0 + Ar_2 + 2 >= 0 /\ Ar_0 + 4 >= 0 /\ Ar_0 + 6 >= 2 /\ Fresh_0'''''' >= 1 /\ Ar_0 - Ar_2 + 7 >= 0 /\ Ar_0 + Ar_2 + 3 >= 0 /\ Ar_0 + 5 >= 0 /\ Ar_0 + 7 >= 2 ]
We thus obtain the following problem:
18:	T:
		(Comp: 1, Cost: 15)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 7, 1, Ar_2, Fresh_0'''''', Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 /\ 0 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 /\ Fresh_0' >= 1 /\ Ar_0 - Ar_2 + 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 >= 0 /\ Ar_0 + 2 >= 2 /\ Fresh_0'' >= 1 /\ Ar_0 - Ar_2 + 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 + 1 >= 0 /\ Ar_0 + 3 >= 2 /\ Fresh_0''' >= 1 /\ Ar_0 - Ar_2 + 4 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 + 2 >= 0 /\ Ar_0 + 4 >= 2 /\ Fresh_0'''' >= 1 /\ Ar_0 - Ar_2 + 5 >= 0 /\ Ar_0 + Ar_2 + 1 >= 0 /\ Ar_0 + 3 >= 0 /\ Ar_0 + 5 >= 2 /\ Fresh_0''''' >= 1 /\ Ar_0 - Ar_2 + 6 >= 0 /\ Ar_0 + Ar_2 + 2 >= 0 /\ Ar_0 + 4 >= 0 /\ Ar_0 + 6 >= 2 /\ Fresh_0'''''' >= 1 /\ Ar_0 - Ar_2 + 7 >= 0 /\ Ar_0 + Ar_2 + 3 >= 0 /\ Ar_0 + 5 >= 0 /\ Ar_0 + 7 >= 2 ]
		(Comp: ?, Cost: 2)     f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_1 - Ar_2 + 1 >= 0 /\ -Ar_1 - Ar_2 + 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 ]
		(Comp: 1, Cost: 1)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(2, Ar_1, 2, Fresh_2, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 7, 1, Ar_2, Fresh_0'''''', Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 /\ 0 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 /\ Fresh_0' >= 1 /\ Ar_0 - Ar_2 + 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 >= 0 /\ Ar_0 + 2 >= 2 /\ Fresh_0'' >= 1 /\ Ar_0 - Ar_2 + 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 + 1 >= 0 /\ Ar_0 + 3 >= 2 /\ Fresh_0''' >= 1 /\ Ar_0 - Ar_2 + 4 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 + 2 >= 0 /\ Ar_0 + 4 >= 2 /\ Fresh_0'''' >= 1 /\ Ar_0 - Ar_2 + 5 >= 0 /\ Ar_0 + Ar_2 + 1 >= 0 /\ Ar_0 + 3 >= 0 /\ Ar_0 + 5 >= 2 /\ Fresh_0''''' >= 1 /\ Ar_0 - Ar_2 + 6 >= 0 /\ Ar_0 + Ar_2 + 2 >= 0 /\ Ar_0 + 4 >= 0 /\ Ar_0 + 6 >= 2 /\ Fresh_0'''''' >= 1 /\ Ar_0 - Ar_2 + 7 >= 0 /\ Ar_0 + Ar_2 + 3 >= 0 /\ Ar_0 + 5 >= 0 /\ Ar_0 + 7 >= 2 ] with all transitions in problem 18, the following new transition is obtained:
	f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 8, 1, Ar_2, Fresh_0''''''', Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 /\ 0 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 /\ Fresh_0' >= 1 /\ Ar_0 - Ar_2 + 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 >= 0 /\ Ar_0 + 2 >= 2 /\ Fresh_0'' >= 1 /\ Ar_0 - Ar_2 + 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 + 1 >= 0 /\ Ar_0 + 3 >= 2 /\ Fresh_0''' >= 1 /\ Ar_0 - Ar_2 + 4 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 + 2 >= 0 /\ Ar_0 + 4 >= 2 /\ Fresh_0'''' >= 1 /\ Ar_0 - Ar_2 + 5 >= 0 /\ Ar_0 + Ar_2 + 1 >= 0 /\ Ar_0 + 3 >= 0 /\ Ar_0 + 5 >= 2 /\ Fresh_0''''' >= 1 /\ Ar_0 - Ar_2 + 6 >= 0 /\ Ar_0 + Ar_2 + 2 >= 0 /\ Ar_0 + 4 >= 0 /\ Ar_0 + 6 >= 2 /\ Fresh_0'''''' >= 1 /\ Ar_0 - Ar_2 + 7 >= 0 /\ Ar_0 + Ar_2 + 3 >= 0 /\ Ar_0 + 5 >= 0 /\ Ar_0 + 7 >= 2 /\ Fresh_0''''''' >= 1 /\ Ar_0 - Ar_2 + 8 >= 0 /\ Ar_0 + Ar_2 + 4 >= 0 /\ Ar_0 + 6 >= 0 /\ Ar_0 + 8 >= 2 ]
We thus obtain the following problem:
19:	T:
		(Comp: 1, Cost: 17)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 8, 1, Ar_2, Fresh_0''''''', Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 /\ 0 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 /\ Fresh_0' >= 1 /\ Ar_0 - Ar_2 + 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 >= 0 /\ Ar_0 + 2 >= 2 /\ Fresh_0'' >= 1 /\ Ar_0 - Ar_2 + 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 + 1 >= 0 /\ Ar_0 + 3 >= 2 /\ Fresh_0''' >= 1 /\ Ar_0 - Ar_2 + 4 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 + 2 >= 0 /\ Ar_0 + 4 >= 2 /\ Fresh_0'''' >= 1 /\ Ar_0 - Ar_2 + 5 >= 0 /\ Ar_0 + Ar_2 + 1 >= 0 /\ Ar_0 + 3 >= 0 /\ Ar_0 + 5 >= 2 /\ Fresh_0''''' >= 1 /\ Ar_0 - Ar_2 + 6 >= 0 /\ Ar_0 + Ar_2 + 2 >= 0 /\ Ar_0 + 4 >= 0 /\ Ar_0 + 6 >= 2 /\ Fresh_0'''''' >= 1 /\ Ar_0 - Ar_2 + 7 >= 0 /\ Ar_0 + Ar_2 + 3 >= 0 /\ Ar_0 + 5 >= 0 /\ Ar_0 + 7 >= 2 /\ Fresh_0''''''' >= 1 /\ Ar_0 - Ar_2 + 8 >= 0 /\ Ar_0 + Ar_2 + 4 >= 0 /\ Ar_0 + 6 >= 0 /\ Ar_0 + 8 >= 2 ]
		(Comp: ?, Cost: 2)     f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_1 - Ar_2 + 1 >= 0 /\ -Ar_1 - Ar_2 + 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 ]
		(Comp: 1, Cost: 1)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(2, Ar_1, 2, Fresh_2, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 8, 1, Ar_2, Fresh_0''''''', Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 /\ 0 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 /\ Fresh_0' >= 1 /\ Ar_0 - Ar_2 + 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 >= 0 /\ Ar_0 + 2 >= 2 /\ Fresh_0'' >= 1 /\ Ar_0 - Ar_2 + 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 + 1 >= 0 /\ Ar_0 + 3 >= 2 /\ Fresh_0''' >= 1 /\ Ar_0 - Ar_2 + 4 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 + 2 >= 0 /\ Ar_0 + 4 >= 2 /\ Fresh_0'''' >= 1 /\ Ar_0 - Ar_2 + 5 >= 0 /\ Ar_0 + Ar_2 + 1 >= 0 /\ Ar_0 + 3 >= 0 /\ Ar_0 + 5 >= 2 /\ Fresh_0''''' >= 1 /\ Ar_0 - Ar_2 + 6 >= 0 /\ Ar_0 + Ar_2 + 2 >= 0 /\ Ar_0 + 4 >= 0 /\ Ar_0 + 6 >= 2 /\ Fresh_0'''''' >= 1 /\ Ar_0 - Ar_2 + 7 >= 0 /\ Ar_0 + Ar_2 + 3 >= 0 /\ Ar_0 + 5 >= 0 /\ Ar_0 + 7 >= 2 /\ Fresh_0''''''' >= 1 /\ Ar_0 - Ar_2 + 8 >= 0 /\ Ar_0 + Ar_2 + 4 >= 0 /\ Ar_0 + 6 >= 0 /\ Ar_0 + 8 >= 2 ] with all transitions in problem 19, the following new transition is obtained:
	f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 9, 1, Ar_2, Fresh_0'''''''', Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 /\ 0 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 /\ Fresh_0' >= 1 /\ Ar_0 - Ar_2 + 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 >= 0 /\ Ar_0 + 2 >= 2 /\ Fresh_0'' >= 1 /\ Ar_0 - Ar_2 + 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 + 1 >= 0 /\ Ar_0 + 3 >= 2 /\ Fresh_0''' >= 1 /\ Ar_0 - Ar_2 + 4 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 + 2 >= 0 /\ Ar_0 + 4 >= 2 /\ Fresh_0'''' >= 1 /\ Ar_0 - Ar_2 + 5 >= 0 /\ Ar_0 + Ar_2 + 1 >= 0 /\ Ar_0 + 3 >= 0 /\ Ar_0 + 5 >= 2 /\ Fresh_0''''' >= 1 /\ Ar_0 - Ar_2 + 6 >= 0 /\ Ar_0 + Ar_2 + 2 >= 0 /\ Ar_0 + 4 >= 0 /\ Ar_0 + 6 >= 2 /\ Fresh_0'''''' >= 1 /\ Ar_0 - Ar_2 + 7 >= 0 /\ Ar_0 + Ar_2 + 3 >= 0 /\ Ar_0 + 5 >= 0 /\ Ar_0 + 7 >= 2 /\ Fresh_0''''''' >= 1 /\ Ar_0 - Ar_2 + 8 >= 0 /\ Ar_0 + Ar_2 + 4 >= 0 /\ Ar_0 + 6 >= 0 /\ Ar_0 + 8 >= 2 /\ Fresh_0'''''''' >= 1 /\ Ar_0 - Ar_2 + 9 >= 0 /\ Ar_0 + Ar_2 + 5 >= 0 /\ Ar_0 + 7 >= 0 /\ Ar_0 + 9 >= 2 ]
We thus obtain the following problem:
20:	T:
		(Comp: 1, Cost: 19)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 9, 1, Ar_2, Fresh_0'''''''', Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 /\ 0 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 /\ Fresh_0' >= 1 /\ Ar_0 - Ar_2 + 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 >= 0 /\ Ar_0 + 2 >= 2 /\ Fresh_0'' >= 1 /\ Ar_0 - Ar_2 + 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 + 1 >= 0 /\ Ar_0 + 3 >= 2 /\ Fresh_0''' >= 1 /\ Ar_0 - Ar_2 + 4 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 + 2 >= 0 /\ Ar_0 + 4 >= 2 /\ Fresh_0'''' >= 1 /\ Ar_0 - Ar_2 + 5 >= 0 /\ Ar_0 + Ar_2 + 1 >= 0 /\ Ar_0 + 3 >= 0 /\ Ar_0 + 5 >= 2 /\ Fresh_0''''' >= 1 /\ Ar_0 - Ar_2 + 6 >= 0 /\ Ar_0 + Ar_2 + 2 >= 0 /\ Ar_0 + 4 >= 0 /\ Ar_0 + 6 >= 2 /\ Fresh_0'''''' >= 1 /\ Ar_0 - Ar_2 + 7 >= 0 /\ Ar_0 + Ar_2 + 3 >= 0 /\ Ar_0 + 5 >= 0 /\ Ar_0 + 7 >= 2 /\ Fresh_0''''''' >= 1 /\ Ar_0 - Ar_2 + 8 >= 0 /\ Ar_0 + Ar_2 + 4 >= 0 /\ Ar_0 + 6 >= 0 /\ Ar_0 + 8 >= 2 /\ Fresh_0'''''''' >= 1 /\ Ar_0 - Ar_2 + 9 >= 0 /\ Ar_0 + Ar_2 + 5 >= 0 /\ Ar_0 + 7 >= 0 /\ Ar_0 + 9 >= 2 ]
		(Comp: ?, Cost: 2)     f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_1 - Ar_2 + 1 >= 0 /\ -Ar_1 - Ar_2 + 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 ]
		(Comp: 1, Cost: 1)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(2, Ar_1, 2, Fresh_2, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 9, 1, Ar_2, Fresh_0'''''''', Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 /\ 0 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 /\ Fresh_0' >= 1 /\ Ar_0 - Ar_2 + 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 >= 0 /\ Ar_0 + 2 >= 2 /\ Fresh_0'' >= 1 /\ Ar_0 - Ar_2 + 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 + 1 >= 0 /\ Ar_0 + 3 >= 2 /\ Fresh_0''' >= 1 /\ Ar_0 - Ar_2 + 4 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 + 2 >= 0 /\ Ar_0 + 4 >= 2 /\ Fresh_0'''' >= 1 /\ Ar_0 - Ar_2 + 5 >= 0 /\ Ar_0 + Ar_2 + 1 >= 0 /\ Ar_0 + 3 >= 0 /\ Ar_0 + 5 >= 2 /\ Fresh_0''''' >= 1 /\ Ar_0 - Ar_2 + 6 >= 0 /\ Ar_0 + Ar_2 + 2 >= 0 /\ Ar_0 + 4 >= 0 /\ Ar_0 + 6 >= 2 /\ Fresh_0'''''' >= 1 /\ Ar_0 - Ar_2 + 7 >= 0 /\ Ar_0 + Ar_2 + 3 >= 0 /\ Ar_0 + 5 >= 0 /\ Ar_0 + 7 >= 2 /\ Fresh_0''''''' >= 1 /\ Ar_0 - Ar_2 + 8 >= 0 /\ Ar_0 + Ar_2 + 4 >= 0 /\ Ar_0 + 6 >= 0 /\ Ar_0 + 8 >= 2 /\ Fresh_0'''''''' >= 1 /\ Ar_0 - Ar_2 + 9 >= 0 /\ Ar_0 + Ar_2 + 5 >= 0 /\ Ar_0 + 7 >= 0 /\ Ar_0 + 9 >= 2 ] with all transitions in problem 20, the following new transition is obtained:
	f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 10, 1, Ar_2, Fresh_0''''''''', Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 /\ 0 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 /\ Fresh_0' >= 1 /\ Ar_0 - Ar_2 + 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 >= 0 /\ Ar_0 + 2 >= 2 /\ Fresh_0'' >= 1 /\ Ar_0 - Ar_2 + 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 + 1 >= 0 /\ Ar_0 + 3 >= 2 /\ Fresh_0''' >= 1 /\ Ar_0 - Ar_2 + 4 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 + 2 >= 0 /\ Ar_0 + 4 >= 2 /\ Fresh_0'''' >= 1 /\ Ar_0 - Ar_2 + 5 >= 0 /\ Ar_0 + Ar_2 + 1 >= 0 /\ Ar_0 + 3 >= 0 /\ Ar_0 + 5 >= 2 /\ Fresh_0''''' >= 1 /\ Ar_0 - Ar_2 + 6 >= 0 /\ Ar_0 + Ar_2 + 2 >= 0 /\ Ar_0 + 4 >= 0 /\ Ar_0 + 6 >= 2 /\ Fresh_0'''''' >= 1 /\ Ar_0 - Ar_2 + 7 >= 0 /\ Ar_0 + Ar_2 + 3 >= 0 /\ Ar_0 + 5 >= 0 /\ Ar_0 + 7 >= 2 /\ Fresh_0''''''' >= 1 /\ Ar_0 - Ar_2 + 8 >= 0 /\ Ar_0 + Ar_2 + 4 >= 0 /\ Ar_0 + 6 >= 0 /\ Ar_0 + 8 >= 2 /\ Fresh_0'''''''' >= 1 /\ Ar_0 - Ar_2 + 9 >= 0 /\ Ar_0 + Ar_2 + 5 >= 0 /\ Ar_0 + 7 >= 0 /\ Ar_0 + 9 >= 2 /\ Fresh_0''''''''' >= 1 /\ Ar_0 - Ar_2 + 10 >= 0 /\ Ar_0 + Ar_2 + 6 >= 0 /\ Ar_0 + 8 >= 0 /\ Ar_0 + 10 >= 2 ]
We thus obtain the following problem:
21:	T:
		(Comp: 1, Cost: 21)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 10, 1, Ar_2, Fresh_0''''''''', Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 /\ 0 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 /\ Fresh_0' >= 1 /\ Ar_0 - Ar_2 + 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 >= 0 /\ Ar_0 + 2 >= 2 /\ Fresh_0'' >= 1 /\ Ar_0 - Ar_2 + 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 + 1 >= 0 /\ Ar_0 + 3 >= 2 /\ Fresh_0''' >= 1 /\ Ar_0 - Ar_2 + 4 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 + 2 >= 0 /\ Ar_0 + 4 >= 2 /\ Fresh_0'''' >= 1 /\ Ar_0 - Ar_2 + 5 >= 0 /\ Ar_0 + Ar_2 + 1 >= 0 /\ Ar_0 + 3 >= 0 /\ Ar_0 + 5 >= 2 /\ Fresh_0''''' >= 1 /\ Ar_0 - Ar_2 + 6 >= 0 /\ Ar_0 + Ar_2 + 2 >= 0 /\ Ar_0 + 4 >= 0 /\ Ar_0 + 6 >= 2 /\ Fresh_0'''''' >= 1 /\ Ar_0 - Ar_2 + 7 >= 0 /\ Ar_0 + Ar_2 + 3 >= 0 /\ Ar_0 + 5 >= 0 /\ Ar_0 + 7 >= 2 /\ Fresh_0''''''' >= 1 /\ Ar_0 - Ar_2 + 8 >= 0 /\ Ar_0 + Ar_2 + 4 >= 0 /\ Ar_0 + 6 >= 0 /\ Ar_0 + 8 >= 2 /\ Fresh_0'''''''' >= 1 /\ Ar_0 - Ar_2 + 9 >= 0 /\ Ar_0 + Ar_2 + 5 >= 0 /\ Ar_0 + 7 >= 0 /\ Ar_0 + 9 >= 2 /\ Fresh_0''''''''' >= 1 /\ Ar_0 - Ar_2 + 10 >= 0 /\ Ar_0 + Ar_2 + 6 >= 0 /\ Ar_0 + 8 >= 0 /\ Ar_0 + 10 >= 2 ]
		(Comp: ?, Cost: 2)     f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_1 - Ar_2 + 1 >= 0 /\ -Ar_1 - Ar_2 + 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 ]
		(Comp: 1, Cost: 1)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(2, Ar_1, 2, Fresh_2, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 10, 1, Ar_2, Fresh_0''''''''', Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 /\ 0 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 /\ Fresh_0' >= 1 /\ Ar_0 - Ar_2 + 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 >= 0 /\ Ar_0 + 2 >= 2 /\ Fresh_0'' >= 1 /\ Ar_0 - Ar_2 + 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 + 1 >= 0 /\ Ar_0 + 3 >= 2 /\ Fresh_0''' >= 1 /\ Ar_0 - Ar_2 + 4 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 + 2 >= 0 /\ Ar_0 + 4 >= 2 /\ Fresh_0'''' >= 1 /\ Ar_0 - Ar_2 + 5 >= 0 /\ Ar_0 + Ar_2 + 1 >= 0 /\ Ar_0 + 3 >= 0 /\ Ar_0 + 5 >= 2 /\ Fresh_0''''' >= 1 /\ Ar_0 - Ar_2 + 6 >= 0 /\ Ar_0 + Ar_2 + 2 >= 0 /\ Ar_0 + 4 >= 0 /\ Ar_0 + 6 >= 2 /\ Fresh_0'''''' >= 1 /\ Ar_0 - Ar_2 + 7 >= 0 /\ Ar_0 + Ar_2 + 3 >= 0 /\ Ar_0 + 5 >= 0 /\ Ar_0 + 7 >= 2 /\ Fresh_0''''''' >= 1 /\ Ar_0 - Ar_2 + 8 >= 0 /\ Ar_0 + Ar_2 + 4 >= 0 /\ Ar_0 + 6 >= 0 /\ Ar_0 + 8 >= 2 /\ Fresh_0'''''''' >= 1 /\ Ar_0 - Ar_2 + 9 >= 0 /\ Ar_0 + Ar_2 + 5 >= 0 /\ Ar_0 + 7 >= 0 /\ Ar_0 + 9 >= 2 /\ Fresh_0''''''''' >= 1 /\ Ar_0 - Ar_2 + 10 >= 0 /\ Ar_0 + Ar_2 + 6 >= 0 /\ Ar_0 + 8 >= 0 /\ Ar_0 + 10 >= 2 ] with all transitions in problem 21, the following new transition is obtained:
	f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 11, 1, Ar_2, Fresh_0'''''''''', Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 /\ 0 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 /\ Fresh_0' >= 1 /\ Ar_0 - Ar_2 + 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 >= 0 /\ Ar_0 + 2 >= 2 /\ Fresh_0'' >= 1 /\ Ar_0 - Ar_2 + 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 + 1 >= 0 /\ Ar_0 + 3 >= 2 /\ Fresh_0''' >= 1 /\ Ar_0 - Ar_2 + 4 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 + 2 >= 0 /\ Ar_0 + 4 >= 2 /\ Fresh_0'''' >= 1 /\ Ar_0 - Ar_2 + 5 >= 0 /\ Ar_0 + Ar_2 + 1 >= 0 /\ Ar_0 + 3 >= 0 /\ Ar_0 + 5 >= 2 /\ Fresh_0''''' >= 1 /\ Ar_0 - Ar_2 + 6 >= 0 /\ Ar_0 + Ar_2 + 2 >= 0 /\ Ar_0 + 4 >= 0 /\ Ar_0 + 6 >= 2 /\ Fresh_0'''''' >= 1 /\ Ar_0 - Ar_2 + 7 >= 0 /\ Ar_0 + Ar_2 + 3 >= 0 /\ Ar_0 + 5 >= 0 /\ Ar_0 + 7 >= 2 /\ Fresh_0''''''' >= 1 /\ Ar_0 - Ar_2 + 8 >= 0 /\ Ar_0 + Ar_2 + 4 >= 0 /\ Ar_0 + 6 >= 0 /\ Ar_0 + 8 >= 2 /\ Fresh_0'''''''' >= 1 /\ Ar_0 - Ar_2 + 9 >= 0 /\ Ar_0 + Ar_2 + 5 >= 0 /\ Ar_0 + 7 >= 0 /\ Ar_0 + 9 >= 2 /\ Fresh_0''''''''' >= 1 /\ Ar_0 - Ar_2 + 10 >= 0 /\ Ar_0 + Ar_2 + 6 >= 0 /\ Ar_0 + 8 >= 0 /\ Ar_0 + 10 >= 2 /\ Fresh_0'''''''''' >= 1 /\ Ar_0 - Ar_2 + 11 >= 0 /\ Ar_0 + Ar_2 + 7 >= 0 /\ Ar_0 + 9 >= 0 /\ Ar_0 + 11 >= 2 ]
We thus obtain the following problem:
22:	T:
		(Comp: 1, Cost: 23)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 11, 1, Ar_2, Fresh_0'''''''''', Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 /\ 0 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 /\ Fresh_0' >= 1 /\ Ar_0 - Ar_2 + 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 >= 0 /\ Ar_0 + 2 >= 2 /\ Fresh_0'' >= 1 /\ Ar_0 - Ar_2 + 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 + 1 >= 0 /\ Ar_0 + 3 >= 2 /\ Fresh_0''' >= 1 /\ Ar_0 - Ar_2 + 4 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 + 2 >= 0 /\ Ar_0 + 4 >= 2 /\ Fresh_0'''' >= 1 /\ Ar_0 - Ar_2 + 5 >= 0 /\ Ar_0 + Ar_2 + 1 >= 0 /\ Ar_0 + 3 >= 0 /\ Ar_0 + 5 >= 2 /\ Fresh_0''''' >= 1 /\ Ar_0 - Ar_2 + 6 >= 0 /\ Ar_0 + Ar_2 + 2 >= 0 /\ Ar_0 + 4 >= 0 /\ Ar_0 + 6 >= 2 /\ Fresh_0'''''' >= 1 /\ Ar_0 - Ar_2 + 7 >= 0 /\ Ar_0 + Ar_2 + 3 >= 0 /\ Ar_0 + 5 >= 0 /\ Ar_0 + 7 >= 2 /\ Fresh_0''''''' >= 1 /\ Ar_0 - Ar_2 + 8 >= 0 /\ Ar_0 + Ar_2 + 4 >= 0 /\ Ar_0 + 6 >= 0 /\ Ar_0 + 8 >= 2 /\ Fresh_0'''''''' >= 1 /\ Ar_0 - Ar_2 + 9 >= 0 /\ Ar_0 + Ar_2 + 5 >= 0 /\ Ar_0 + 7 >= 0 /\ Ar_0 + 9 >= 2 /\ Fresh_0''''''''' >= 1 /\ Ar_0 - Ar_2 + 10 >= 0 /\ Ar_0 + Ar_2 + 6 >= 0 /\ Ar_0 + 8 >= 0 /\ Ar_0 + 10 >= 2 /\ Fresh_0'''''''''' >= 1 /\ Ar_0 - Ar_2 + 11 >= 0 /\ Ar_0 + Ar_2 + 7 >= 0 /\ Ar_0 + 9 >= 0 /\ Ar_0 + 11 >= 2 ]
		(Comp: ?, Cost: 2)     f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_1 - Ar_2 + 1 >= 0 /\ -Ar_1 - Ar_2 + 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 ]
		(Comp: 1, Cost: 1)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(2, Ar_1, 2, Fresh_2, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 11, 1, Ar_2, Fresh_0'''''''''', Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 /\ 0 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 /\ Fresh_0' >= 1 /\ Ar_0 - Ar_2 + 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 >= 0 /\ Ar_0 + 2 >= 2 /\ Fresh_0'' >= 1 /\ Ar_0 - Ar_2 + 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 + 1 >= 0 /\ Ar_0 + 3 >= 2 /\ Fresh_0''' >= 1 /\ Ar_0 - Ar_2 + 4 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 + 2 >= 0 /\ Ar_0 + 4 >= 2 /\ Fresh_0'''' >= 1 /\ Ar_0 - Ar_2 + 5 >= 0 /\ Ar_0 + Ar_2 + 1 >= 0 /\ Ar_0 + 3 >= 0 /\ Ar_0 + 5 >= 2 /\ Fresh_0''''' >= 1 /\ Ar_0 - Ar_2 + 6 >= 0 /\ Ar_0 + Ar_2 + 2 >= 0 /\ Ar_0 + 4 >= 0 /\ Ar_0 + 6 >= 2 /\ Fresh_0'''''' >= 1 /\ Ar_0 - Ar_2 + 7 >= 0 /\ Ar_0 + Ar_2 + 3 >= 0 /\ Ar_0 + 5 >= 0 /\ Ar_0 + 7 >= 2 /\ Fresh_0''''''' >= 1 /\ Ar_0 - Ar_2 + 8 >= 0 /\ Ar_0 + Ar_2 + 4 >= 0 /\ Ar_0 + 6 >= 0 /\ Ar_0 + 8 >= 2 /\ Fresh_0'''''''' >= 1 /\ Ar_0 - Ar_2 + 9 >= 0 /\ Ar_0 + Ar_2 + 5 >= 0 /\ Ar_0 + 7 >= 0 /\ Ar_0 + 9 >= 2 /\ Fresh_0''''''''' >= 1 /\ Ar_0 - Ar_2 + 10 >= 0 /\ Ar_0 + Ar_2 + 6 >= 0 /\ Ar_0 + 8 >= 0 /\ Ar_0 + 10 >= 2 /\ Fresh_0'''''''''' >= 1 /\ Ar_0 - Ar_2 + 11 >= 0 /\ Ar_0 + Ar_2 + 7 >= 0 /\ Ar_0 + 9 >= 0 /\ Ar_0 + 11 >= 2 ] with all transitions in problem 22, the following new transition is obtained:
	f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 12, 1, Ar_2, Fresh_0''''''''''', Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 /\ 0 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 /\ Fresh_0' >= 1 /\ Ar_0 - Ar_2 + 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 >= 0 /\ Ar_0 + 2 >= 2 /\ Fresh_0'' >= 1 /\ Ar_0 - Ar_2 + 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 + 1 >= 0 /\ Ar_0 + 3 >= 2 /\ Fresh_0''' >= 1 /\ Ar_0 - Ar_2 + 4 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 + 2 >= 0 /\ Ar_0 + 4 >= 2 /\ Fresh_0'''' >= 1 /\ Ar_0 - Ar_2 + 5 >= 0 /\ Ar_0 + Ar_2 + 1 >= 0 /\ Ar_0 + 3 >= 0 /\ Ar_0 + 5 >= 2 /\ Fresh_0''''' >= 1 /\ Ar_0 - Ar_2 + 6 >= 0 /\ Ar_0 + Ar_2 + 2 >= 0 /\ Ar_0 + 4 >= 0 /\ Ar_0 + 6 >= 2 /\ Fresh_0'''''' >= 1 /\ Ar_0 - Ar_2 + 7 >= 0 /\ Ar_0 + Ar_2 + 3 >= 0 /\ Ar_0 + 5 >= 0 /\ Ar_0 + 7 >= 2 /\ Fresh_0''''''' >= 1 /\ Ar_0 - Ar_2 + 8 >= 0 /\ Ar_0 + Ar_2 + 4 >= 0 /\ Ar_0 + 6 >= 0 /\ Ar_0 + 8 >= 2 /\ Fresh_0'''''''' >= 1 /\ Ar_0 - Ar_2 + 9 >= 0 /\ Ar_0 + Ar_2 + 5 >= 0 /\ Ar_0 + 7 >= 0 /\ Ar_0 + 9 >= 2 /\ Fresh_0''''''''' >= 1 /\ Ar_0 - Ar_2 + 10 >= 0 /\ Ar_0 + Ar_2 + 6 >= 0 /\ Ar_0 + 8 >= 0 /\ Ar_0 + 10 >= 2 /\ Fresh_0'''''''''' >= 1 /\ Ar_0 - Ar_2 + 11 >= 0 /\ Ar_0 + Ar_2 + 7 >= 0 /\ Ar_0 + 9 >= 0 /\ Ar_0 + 11 >= 2 /\ Fresh_0''''''''''' >= 1 /\ Ar_0 - Ar_2 + 12 >= 0 /\ Ar_0 + Ar_2 + 8 >= 0 /\ Ar_0 + 10 >= 0 /\ Ar_0 + 12 >= 2 ]
We thus obtain the following problem:
23:	T:
		(Comp: 1, Cost: 25)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 12, 1, Ar_2, Fresh_0''''''''''', Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 /\ 0 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 /\ Fresh_0' >= 1 /\ Ar_0 - Ar_2 + 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 >= 0 /\ Ar_0 + 2 >= 2 /\ Fresh_0'' >= 1 /\ Ar_0 - Ar_2 + 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 + 1 >= 0 /\ Ar_0 + 3 >= 2 /\ Fresh_0''' >= 1 /\ Ar_0 - Ar_2 + 4 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 + 2 >= 0 /\ Ar_0 + 4 >= 2 /\ Fresh_0'''' >= 1 /\ Ar_0 - Ar_2 + 5 >= 0 /\ Ar_0 + Ar_2 + 1 >= 0 /\ Ar_0 + 3 >= 0 /\ Ar_0 + 5 >= 2 /\ Fresh_0''''' >= 1 /\ Ar_0 - Ar_2 + 6 >= 0 /\ Ar_0 + Ar_2 + 2 >= 0 /\ Ar_0 + 4 >= 0 /\ Ar_0 + 6 >= 2 /\ Fresh_0'''''' >= 1 /\ Ar_0 - Ar_2 + 7 >= 0 /\ Ar_0 + Ar_2 + 3 >= 0 /\ Ar_0 + 5 >= 0 /\ Ar_0 + 7 >= 2 /\ Fresh_0''''''' >= 1 /\ Ar_0 - Ar_2 + 8 >= 0 /\ Ar_0 + Ar_2 + 4 >= 0 /\ Ar_0 + 6 >= 0 /\ Ar_0 + 8 >= 2 /\ Fresh_0'''''''' >= 1 /\ Ar_0 - Ar_2 + 9 >= 0 /\ Ar_0 + Ar_2 + 5 >= 0 /\ Ar_0 + 7 >= 0 /\ Ar_0 + 9 >= 2 /\ Fresh_0''''''''' >= 1 /\ Ar_0 - Ar_2 + 10 >= 0 /\ Ar_0 + Ar_2 + 6 >= 0 /\ Ar_0 + 8 >= 0 /\ Ar_0 + 10 >= 2 /\ Fresh_0'''''''''' >= 1 /\ Ar_0 - Ar_2 + 11 >= 0 /\ Ar_0 + Ar_2 + 7 >= 0 /\ Ar_0 + 9 >= 0 /\ Ar_0 + 11 >= 2 /\ Fresh_0''''''''''' >= 1 /\ Ar_0 - Ar_2 + 12 >= 0 /\ Ar_0 + Ar_2 + 8 >= 0 /\ Ar_0 + 10 >= 0 /\ Ar_0 + 12 >= 2 ]
		(Comp: ?, Cost: 2)     f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_1 - Ar_2 + 1 >= 0 /\ -Ar_1 - Ar_2 + 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 ]
		(Comp: 1, Cost: 1)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(2, Ar_1, 2, Fresh_2, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 12, 1, Ar_2, Fresh_0''''''''''', Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 /\ 0 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 /\ Fresh_0' >= 1 /\ Ar_0 - Ar_2 + 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 >= 0 /\ Ar_0 + 2 >= 2 /\ Fresh_0'' >= 1 /\ Ar_0 - Ar_2 + 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 + 1 >= 0 /\ Ar_0 + 3 >= 2 /\ Fresh_0''' >= 1 /\ Ar_0 - Ar_2 + 4 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 + 2 >= 0 /\ Ar_0 + 4 >= 2 /\ Fresh_0'''' >= 1 /\ Ar_0 - Ar_2 + 5 >= 0 /\ Ar_0 + Ar_2 + 1 >= 0 /\ Ar_0 + 3 >= 0 /\ Ar_0 + 5 >= 2 /\ Fresh_0''''' >= 1 /\ Ar_0 - Ar_2 + 6 >= 0 /\ Ar_0 + Ar_2 + 2 >= 0 /\ Ar_0 + 4 >= 0 /\ Ar_0 + 6 >= 2 /\ Fresh_0'''''' >= 1 /\ Ar_0 - Ar_2 + 7 >= 0 /\ Ar_0 + Ar_2 + 3 >= 0 /\ Ar_0 + 5 >= 0 /\ Ar_0 + 7 >= 2 /\ Fresh_0''''''' >= 1 /\ Ar_0 - Ar_2 + 8 >= 0 /\ Ar_0 + Ar_2 + 4 >= 0 /\ Ar_0 + 6 >= 0 /\ Ar_0 + 8 >= 2 /\ Fresh_0'''''''' >= 1 /\ Ar_0 - Ar_2 + 9 >= 0 /\ Ar_0 + Ar_2 + 5 >= 0 /\ Ar_0 + 7 >= 0 /\ Ar_0 + 9 >= 2 /\ Fresh_0''''''''' >= 1 /\ Ar_0 - Ar_2 + 10 >= 0 /\ Ar_0 + Ar_2 + 6 >= 0 /\ Ar_0 + 8 >= 0 /\ Ar_0 + 10 >= 2 /\ Fresh_0'''''''''' >= 1 /\ Ar_0 - Ar_2 + 11 >= 0 /\ Ar_0 + Ar_2 + 7 >= 0 /\ Ar_0 + 9 >= 0 /\ Ar_0 + 11 >= 2 /\ Fresh_0''''''''''' >= 1 /\ Ar_0 - Ar_2 + 12 >= 0 /\ Ar_0 + Ar_2 + 8 >= 0 /\ Ar_0 + 10 >= 0 /\ Ar_0 + 12 >= 2 ] with all transitions in problem 23, the following new transition is obtained:
	f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 13, 1, Ar_2, Fresh_0'''''''''''', Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 /\ 0 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 /\ Fresh_0' >= 1 /\ Ar_0 - Ar_2 + 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 >= 0 /\ Ar_0 + 2 >= 2 /\ Fresh_0'' >= 1 /\ Ar_0 - Ar_2 + 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 + 1 >= 0 /\ Ar_0 + 3 >= 2 /\ Fresh_0''' >= 1 /\ Ar_0 - Ar_2 + 4 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 + 2 >= 0 /\ Ar_0 + 4 >= 2 /\ Fresh_0'''' >= 1 /\ Ar_0 - Ar_2 + 5 >= 0 /\ Ar_0 + Ar_2 + 1 >= 0 /\ Ar_0 + 3 >= 0 /\ Ar_0 + 5 >= 2 /\ Fresh_0''''' >= 1 /\ Ar_0 - Ar_2 + 6 >= 0 /\ Ar_0 + Ar_2 + 2 >= 0 /\ Ar_0 + 4 >= 0 /\ Ar_0 + 6 >= 2 /\ Fresh_0'''''' >= 1 /\ Ar_0 - Ar_2 + 7 >= 0 /\ Ar_0 + Ar_2 + 3 >= 0 /\ Ar_0 + 5 >= 0 /\ Ar_0 + 7 >= 2 /\ Fresh_0''''''' >= 1 /\ Ar_0 - Ar_2 + 8 >= 0 /\ Ar_0 + Ar_2 + 4 >= 0 /\ Ar_0 + 6 >= 0 /\ Ar_0 + 8 >= 2 /\ Fresh_0'''''''' >= 1 /\ Ar_0 - Ar_2 + 9 >= 0 /\ Ar_0 + Ar_2 + 5 >= 0 /\ Ar_0 + 7 >= 0 /\ Ar_0 + 9 >= 2 /\ Fresh_0''''''''' >= 1 /\ Ar_0 - Ar_2 + 10 >= 0 /\ Ar_0 + Ar_2 + 6 >= 0 /\ Ar_0 + 8 >= 0 /\ Ar_0 + 10 >= 2 /\ Fresh_0'''''''''' >= 1 /\ Ar_0 - Ar_2 + 11 >= 0 /\ Ar_0 + Ar_2 + 7 >= 0 /\ Ar_0 + 9 >= 0 /\ Ar_0 + 11 >= 2 /\ Fresh_0''''''''''' >= 1 /\ Ar_0 - Ar_2 + 12 >= 0 /\ Ar_0 + Ar_2 + 8 >= 0 /\ Ar_0 + 10 >= 0 /\ Ar_0 + 12 >= 2 /\ Fresh_0'''''''''''' >= 1 /\ Ar_0 - Ar_2 + 13 >= 0 /\ Ar_0 + Ar_2 + 9 >= 0 /\ Ar_0 + 11 >= 0 /\ Ar_0 + 13 >= 2 ]
We thus obtain the following problem:
24:	T:
		(Comp: 1, Cost: 27)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 13, 1, Ar_2, Fresh_0'''''''''''', Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 2 /\ 0 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 /\ Fresh_0' >= 1 /\ Ar_0 - Ar_2 + 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 >= 0 /\ Ar_0 + 2 >= 2 /\ Fresh_0'' >= 1 /\ Ar_0 - Ar_2 + 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 + 1 >= 0 /\ Ar_0 + 3 >= 2 /\ Fresh_0''' >= 1 /\ Ar_0 - Ar_2 + 4 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 + 2 >= 0 /\ Ar_0 + 4 >= 2 /\ Fresh_0'''' >= 1 /\ Ar_0 - Ar_2 + 5 >= 0 /\ Ar_0 + Ar_2 + 1 >= 0 /\ Ar_0 + 3 >= 0 /\ Ar_0 + 5 >= 2 /\ Fresh_0''''' >= 1 /\ Ar_0 - Ar_2 + 6 >= 0 /\ Ar_0 + Ar_2 + 2 >= 0 /\ Ar_0 + 4 >= 0 /\ Ar_0 + 6 >= 2 /\ Fresh_0'''''' >= 1 /\ Ar_0 - Ar_2 + 7 >= 0 /\ Ar_0 + Ar_2 + 3 >= 0 /\ Ar_0 + 5 >= 0 /\ Ar_0 + 7 >= 2 /\ Fresh_0''''''' >= 1 /\ Ar_0 - Ar_2 + 8 >= 0 /\ Ar_0 + Ar_2 + 4 >= 0 /\ Ar_0 + 6 >= 0 /\ Ar_0 + 8 >= 2 /\ Fresh_0'''''''' >= 1 /\ Ar_0 - Ar_2 + 9 >= 0 /\ Ar_0 + Ar_2 + 5 >= 0 /\ Ar_0 + 7 >= 0 /\ Ar_0 + 9 >= 2 /\ Fresh_0''''''''' >= 1 /\ Ar_0 - Ar_2 + 10 >= 0 /\ Ar_0 + Ar_2 + 6 >= 0 /\ Ar_0 + 8 >= 0 /\ Ar_0 + 10 >= 2 /\ Fresh_0'''''''''' >= 1 /\ Ar_0 - Ar_2 + 11 >= 0 /\ Ar_0 + Ar_2 + 7 >= 0 /\ Ar_0 + 9 >= 0 /\ Ar_0 + 11 >= 2 /\ Fresh_0''''''''''' >= 1 /\ Ar_0 - Ar_2 + 12 >= 0 /\ Ar_0 + Ar_2 + 8 >= 0 /\ Ar_0 + 10 >= 0 /\ Ar_0 + 12 >= 2 /\ Fresh_0'''''''''''' >= 1 /\ Ar_0 - Ar_2 + 13 >= 0 /\ Ar_0 + Ar_2 + 9 >= 0 /\ Ar_0 + 11 >= 0 /\ Ar_0 + 13 >= 2 ]
		(Comp: ?, Cost: 2)     f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4)) [ -Ar_2 + 2 >= 0 /\ Ar_1 - Ar_2 + 1 >= 0 /\ -Ar_1 - Ar_2 + 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ Fresh_0 >= 1 /\ Ar_0 - Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 + 1 >= 2 ]
		(Comp: 1, Cost: 1)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(2, Ar_1, 2, Fresh_2, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound ?

Time: 0.517 sec (SMT: 0.391 sec)
