
Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    f1(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Ar_0, Fresh_3, Ar_2)) [ Ar_0 >= 500 ]
		(Comp: ?, Cost: 1)    f1(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Ar_0 + 1, Ar_1, Ar_2)) [ 499 >= Ar_0 ]
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_1, Fresh_2, Fresh_1)) [ Fresh_1 >= 500 ]
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 1, Ar_1, Fresh_0)) [ 499 >= Fresh_0 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 1 produces the following problem:
2:	T:
		(Comp: ?, Cost: 1)    f1(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Ar_0, Fresh_3, Ar_2)) [ Ar_0 >= 500 ]
		(Comp: ?, Cost: 1)    f1(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Ar_0 + 1, Ar_1, Ar_2)) [ 499 >= Ar_0 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_1, Fresh_2, Fresh_1)) [ Fresh_1 >= 500 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 1, Ar_1, Fresh_0)) [ 499 >= Fresh_0 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(f1) = 1
	Pol(f3) = 0
	Pol(f2) = 1
	Pol(koat_start) = 1
orients all transitions weakly and the transition
	f1(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Ar_0, Fresh_3, Ar_2)) [ Ar_0 >= 500 ]
strictly and produces the following problem:
3:	T:
		(Comp: 1, Cost: 1)    f1(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Ar_0, Fresh_3, Ar_2)) [ Ar_0 >= 500 ]
		(Comp: ?, Cost: 1)    f1(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Ar_0 + 1, Ar_1, Ar_2)) [ 499 >= Ar_0 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_1, Fresh_2, Fresh_1)) [ Fresh_1 >= 500 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 1, Ar_1, Fresh_0)) [ 499 >= Fresh_0 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Applied AI with 'oct' on problem 3 to obtain the following invariants:
  For symbol f1: -X_3 + 499 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ -X_1 - X_3 + 999 >= 0 /\ -X_1 + 500 >= 0


This yielded the following problem:
4:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 1, Ar_1, Fresh_0)) [ 499 >= Fresh_0 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_1, Fresh_2, Fresh_1)) [ Fresh_1 >= 500 ]
		(Comp: ?, Cost: 1)    f1(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Ar_0 + 1, Ar_1, Ar_2)) [ -Ar_2 + 499 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ -Ar_0 - Ar_2 + 999 >= 0 /\ -Ar_0 + 500 >= 0 /\ 499 >= Ar_0 ]
		(Comp: 1, Cost: 1)    f1(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Ar_0, Fresh_3, Ar_2)) [ -Ar_2 + 499 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ -Ar_0 - Ar_2 + 999 >= 0 /\ -Ar_0 + 500 >= 0 /\ Ar_0 >= 500 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ] with all transitions in problem 4, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_1, Fresh_2, Fresh_1)) [ 0 <= 0 /\ Fresh_1 >= 500 ]
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 1, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 ]
We thus obtain the following problem:
5:	T:
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_1, Fresh_2, Fresh_1)) [ 0 <= 0 /\ Fresh_1 >= 500 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 1, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 1, Ar_1, Fresh_0)) [ 499 >= Fresh_0 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_1, Fresh_2, Fresh_1)) [ Fresh_1 >= 500 ]
		(Comp: ?, Cost: 1)    f1(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Ar_0 + 1, Ar_1, Ar_2)) [ -Ar_2 + 499 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ -Ar_0 - Ar_2 + 999 >= 0 /\ -Ar_0 + 500 >= 0 /\ 499 >= Ar_0 ]
		(Comp: 1, Cost: 1)    f1(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Ar_0, Fresh_3, Ar_2)) [ -Ar_2 + 499 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ -Ar_0 - Ar_2 + 999 >= 0 /\ -Ar_0 + 500 >= 0 /\ Ar_0 >= 500 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transitions from problem 5:
	f2(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 1, Ar_1, Fresh_0)) [ 499 >= Fresh_0 ]
	f2(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_1, Fresh_2, Fresh_1)) [ Fresh_1 >= 500 ]
We thus obtain the following problem:
6:	T:
		(Comp: 1, Cost: 1)    f1(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Ar_0, Fresh_3, Ar_2)) [ -Ar_2 + 499 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ -Ar_0 - Ar_2 + 999 >= 0 /\ -Ar_0 + 500 >= 0 /\ Ar_0 >= 500 ]
		(Comp: ?, Cost: 1)    f1(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Ar_0 + 1, Ar_1, Ar_2)) [ -Ar_2 + 499 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ -Ar_0 - Ar_2 + 999 >= 0 /\ -Ar_0 + 500 >= 0 /\ 499 >= Ar_0 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 1, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_1, Fresh_2, Fresh_1)) [ 0 <= 0 /\ Fresh_1 >= 500 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 1, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 ] with all transitions in problem 6, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 1, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ Fresh_0 + 1 >= 500 ]
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 2, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 ]
We thus obtain the following problem:
7:	T:
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 1, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ Fresh_0 + 1 >= 500 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 2, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 ]
		(Comp: 1, Cost: 1)    f1(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Ar_0, Fresh_3, Ar_2)) [ -Ar_2 + 499 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ -Ar_0 - Ar_2 + 999 >= 0 /\ -Ar_0 + 500 >= 0 /\ Ar_0 >= 500 ]
		(Comp: ?, Cost: 1)    f1(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Ar_0 + 1, Ar_1, Ar_2)) [ -Ar_2 + 499 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ -Ar_0 - Ar_2 + 999 >= 0 /\ -Ar_0 + 500 >= 0 /\ 499 >= Ar_0 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_1, Fresh_2, Fresh_1)) [ 0 <= 0 /\ Fresh_1 >= 500 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 2, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 ] with all transitions in problem 7, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 2, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ Fresh_0 + 2 >= 500 ]
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 3, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 ]
We thus obtain the following problem:
8:	T:
		(Comp: 1, Cost: 3)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 2, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ Fresh_0 + 2 >= 500 ]
		(Comp: 1, Cost: 3)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 3, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 1, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ Fresh_0 + 1 >= 500 ]
		(Comp: 1, Cost: 1)    f1(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Ar_0, Fresh_3, Ar_2)) [ -Ar_2 + 499 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ -Ar_0 - Ar_2 + 999 >= 0 /\ -Ar_0 + 500 >= 0 /\ Ar_0 >= 500 ]
		(Comp: ?, Cost: 1)    f1(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Ar_0 + 1, Ar_1, Ar_2)) [ -Ar_2 + 499 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ -Ar_0 - Ar_2 + 999 >= 0 /\ -Ar_0 + 500 >= 0 /\ 499 >= Ar_0 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_1, Fresh_2, Fresh_1)) [ 0 <= 0 /\ Fresh_1 >= 500 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 3, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 ] with all transitions in problem 8, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 3, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ Fresh_0 + 3 >= 500 ]
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 4, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 ]
We thus obtain the following problem:
9:	T:
		(Comp: 1, Cost: 4)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 3, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ Fresh_0 + 3 >= 500 ]
		(Comp: 1, Cost: 4)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 4, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 ]
		(Comp: 1, Cost: 3)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 2, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ Fresh_0 + 2 >= 500 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 1, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ Fresh_0 + 1 >= 500 ]
		(Comp: 1, Cost: 1)    f1(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Ar_0, Fresh_3, Ar_2)) [ -Ar_2 + 499 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ -Ar_0 - Ar_2 + 999 >= 0 /\ -Ar_0 + 500 >= 0 /\ Ar_0 >= 500 ]
		(Comp: ?, Cost: 1)    f1(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Ar_0 + 1, Ar_1, Ar_2)) [ -Ar_2 + 499 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ -Ar_0 - Ar_2 + 999 >= 0 /\ -Ar_0 + 500 >= 0 /\ 499 >= Ar_0 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_1, Fresh_2, Fresh_1)) [ 0 <= 0 /\ Fresh_1 >= 500 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 4, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 ] with all transitions in problem 9, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 4, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ Fresh_0 + 4 >= 500 ]
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 5, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 ]
We thus obtain the following problem:
10:	T:
		(Comp: 1, Cost: 5)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 4, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ Fresh_0 + 4 >= 500 ]
		(Comp: 1, Cost: 5)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 5, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 ]
		(Comp: 1, Cost: 4)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 3, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ Fresh_0 + 3 >= 500 ]
		(Comp: 1, Cost: 3)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 2, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ Fresh_0 + 2 >= 500 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 1, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ Fresh_0 + 1 >= 500 ]
		(Comp: 1, Cost: 1)    f1(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Ar_0, Fresh_3, Ar_2)) [ -Ar_2 + 499 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ -Ar_0 - Ar_2 + 999 >= 0 /\ -Ar_0 + 500 >= 0 /\ Ar_0 >= 500 ]
		(Comp: ?, Cost: 1)    f1(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Ar_0 + 1, Ar_1, Ar_2)) [ -Ar_2 + 499 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ -Ar_0 - Ar_2 + 999 >= 0 /\ -Ar_0 + 500 >= 0 /\ 499 >= Ar_0 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_1, Fresh_2, Fresh_1)) [ 0 <= 0 /\ Fresh_1 >= 500 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 5, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 ] with all transitions in problem 10, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 5, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ Fresh_0 + 5 >= 500 ]
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 6, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 ]
We thus obtain the following problem:
11:	T:
		(Comp: 1, Cost: 6)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 5, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ Fresh_0 + 5 >= 500 ]
		(Comp: 1, Cost: 6)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 6, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 ]
		(Comp: 1, Cost: 5)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 4, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ Fresh_0 + 4 >= 500 ]
		(Comp: 1, Cost: 4)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 3, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ Fresh_0 + 3 >= 500 ]
		(Comp: 1, Cost: 3)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 2, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ Fresh_0 + 2 >= 500 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 1, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ Fresh_0 + 1 >= 500 ]
		(Comp: 1, Cost: 1)    f1(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Ar_0, Fresh_3, Ar_2)) [ -Ar_2 + 499 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ -Ar_0 - Ar_2 + 999 >= 0 /\ -Ar_0 + 500 >= 0 /\ Ar_0 >= 500 ]
		(Comp: ?, Cost: 1)    f1(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Ar_0 + 1, Ar_1, Ar_2)) [ -Ar_2 + 499 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ -Ar_0 - Ar_2 + 999 >= 0 /\ -Ar_0 + 500 >= 0 /\ 499 >= Ar_0 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_1, Fresh_2, Fresh_1)) [ 0 <= 0 /\ Fresh_1 >= 500 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 6, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 ] with all transitions in problem 11, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 6, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ Fresh_0 + 6 >= 500 ]
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 7, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 ]
We thus obtain the following problem:
12:	T:
		(Comp: 1, Cost: 7)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 6, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ Fresh_0 + 6 >= 500 ]
		(Comp: 1, Cost: 7)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 7, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 ]
		(Comp: 1, Cost: 6)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 5, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ Fresh_0 + 5 >= 500 ]
		(Comp: 1, Cost: 5)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 4, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ Fresh_0 + 4 >= 500 ]
		(Comp: 1, Cost: 4)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 3, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ Fresh_0 + 3 >= 500 ]
		(Comp: 1, Cost: 3)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 2, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ Fresh_0 + 2 >= 500 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 1, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ Fresh_0 + 1 >= 500 ]
		(Comp: 1, Cost: 1)    f1(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Ar_0, Fresh_3, Ar_2)) [ -Ar_2 + 499 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ -Ar_0 - Ar_2 + 999 >= 0 /\ -Ar_0 + 500 >= 0 /\ Ar_0 >= 500 ]
		(Comp: ?, Cost: 1)    f1(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Ar_0 + 1, Ar_1, Ar_2)) [ -Ar_2 + 499 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ -Ar_0 - Ar_2 + 999 >= 0 /\ -Ar_0 + 500 >= 0 /\ 499 >= Ar_0 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_1, Fresh_2, Fresh_1)) [ 0 <= 0 /\ Fresh_1 >= 500 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 7, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 ] with all transitions in problem 12, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 7, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ Fresh_0 + 7 >= 500 ]
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 8, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 ]
We thus obtain the following problem:
13:	T:
		(Comp: 1, Cost: 8)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 7, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ Fresh_0 + 7 >= 500 ]
		(Comp: 1, Cost: 8)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 8, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 ]
		(Comp: 1, Cost: 7)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 6, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ Fresh_0 + 6 >= 500 ]
		(Comp: 1, Cost: 6)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 5, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ Fresh_0 + 5 >= 500 ]
		(Comp: 1, Cost: 5)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 4, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ Fresh_0 + 4 >= 500 ]
		(Comp: 1, Cost: 4)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 3, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ Fresh_0 + 3 >= 500 ]
		(Comp: 1, Cost: 3)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 2, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ Fresh_0 + 2 >= 500 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 1, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ Fresh_0 + 1 >= 500 ]
		(Comp: 1, Cost: 1)    f1(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Ar_0, Fresh_3, Ar_2)) [ -Ar_2 + 499 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ -Ar_0 - Ar_2 + 999 >= 0 /\ -Ar_0 + 500 >= 0 /\ Ar_0 >= 500 ]
		(Comp: ?, Cost: 1)    f1(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Ar_0 + 1, Ar_1, Ar_2)) [ -Ar_2 + 499 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ -Ar_0 - Ar_2 + 999 >= 0 /\ -Ar_0 + 500 >= 0 /\ 499 >= Ar_0 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_1, Fresh_2, Fresh_1)) [ 0 <= 0 /\ Fresh_1 >= 500 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 8, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 ] with all transitions in problem 13, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 8, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ Fresh_0 + 8 >= 500 ]
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 9, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 ]
We thus obtain the following problem:
14:	T:
		(Comp: 1, Cost: 9)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 8, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ Fresh_0 + 8 >= 500 ]
		(Comp: 1, Cost: 9)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 9, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 ]
		(Comp: 1, Cost: 8)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 7, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ Fresh_0 + 7 >= 500 ]
		(Comp: 1, Cost: 7)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 6, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ Fresh_0 + 6 >= 500 ]
		(Comp: 1, Cost: 6)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 5, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ Fresh_0 + 5 >= 500 ]
		(Comp: 1, Cost: 5)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 4, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ Fresh_0 + 4 >= 500 ]
		(Comp: 1, Cost: 4)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 3, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ Fresh_0 + 3 >= 500 ]
		(Comp: 1, Cost: 3)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 2, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ Fresh_0 + 2 >= 500 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 1, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ Fresh_0 + 1 >= 500 ]
		(Comp: 1, Cost: 1)    f1(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Ar_0, Fresh_3, Ar_2)) [ -Ar_2 + 499 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ -Ar_0 - Ar_2 + 999 >= 0 /\ -Ar_0 + 500 >= 0 /\ Ar_0 >= 500 ]
		(Comp: ?, Cost: 1)    f1(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Ar_0 + 1, Ar_1, Ar_2)) [ -Ar_2 + 499 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ -Ar_0 - Ar_2 + 999 >= 0 /\ -Ar_0 + 500 >= 0 /\ 499 >= Ar_0 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_1, Fresh_2, Fresh_1)) [ 0 <= 0 /\ Fresh_1 >= 500 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 9, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 ] with all transitions in problem 14, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 9, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ Fresh_0 + 9 >= 500 ]
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 10, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ 499 >= Fresh_0 + 9 ]
We thus obtain the following problem:
15:	T:
		(Comp: 1, Cost: 10)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 9, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ Fresh_0 + 9 >= 500 ]
		(Comp: 1, Cost: 10)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 10, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ 499 >= Fresh_0 + 9 ]
		(Comp: 1, Cost: 9)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 8, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ Fresh_0 + 8 >= 500 ]
		(Comp: 1, Cost: 8)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 7, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ Fresh_0 + 7 >= 500 ]
		(Comp: 1, Cost: 7)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 6, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ Fresh_0 + 6 >= 500 ]
		(Comp: 1, Cost: 6)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 5, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ Fresh_0 + 5 >= 500 ]
		(Comp: 1, Cost: 5)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 4, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ Fresh_0 + 4 >= 500 ]
		(Comp: 1, Cost: 4)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 3, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ Fresh_0 + 3 >= 500 ]
		(Comp: 1, Cost: 3)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 2, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ Fresh_0 + 2 >= 500 ]
		(Comp: 1, Cost: 2)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 1, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ Fresh_0 + 1 >= 500 ]
		(Comp: 1, Cost: 1)     f1(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Ar_0, Fresh_3, Ar_2)) [ -Ar_2 + 499 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ -Ar_0 - Ar_2 + 999 >= 0 /\ -Ar_0 + 500 >= 0 /\ Ar_0 >= 500 ]
		(Comp: ?, Cost: 1)     f1(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Ar_0 + 1, Ar_1, Ar_2)) [ -Ar_2 + 499 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ -Ar_0 - Ar_2 + 999 >= 0 /\ -Ar_0 + 500 >= 0 /\ 499 >= Ar_0 ]
		(Comp: 1, Cost: 1)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_1, Fresh_2, Fresh_1)) [ 0 <= 0 /\ Fresh_1 >= 500 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 10, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ 499 >= Fresh_0 + 9 ] with all transitions in problem 15, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 10, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ 499 >= Fresh_0 + 9 /\ 9 >= 0 /\ -2*Fresh_0 + 989 >= 0 /\ -Fresh_0 + 490 >= 0 /\ Fresh_0 + 10 >= 500 ]
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 11, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ 499 >= Fresh_0 + 9 /\ 9 >= 0 /\ -2*Fresh_0 + 989 >= 0 /\ -Fresh_0 + 490 >= 0 /\ 499 >= Fresh_0 + 10 ]
We thus obtain the following problem:
16:	T:
		(Comp: 1, Cost: 11)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 10, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ 499 >= Fresh_0 + 9 /\ 9 >= 0 /\ -2*Fresh_0 + 989 >= 0 /\ -Fresh_0 + 490 >= 0 /\ Fresh_0 + 10 >= 500 ]
		(Comp: 1, Cost: 11)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 11, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ 499 >= Fresh_0 + 9 /\ 9 >= 0 /\ -2*Fresh_0 + 989 >= 0 /\ -Fresh_0 + 490 >= 0 /\ 499 >= Fresh_0 + 10 ]
		(Comp: 1, Cost: 10)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 9, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ Fresh_0 + 9 >= 500 ]
		(Comp: 1, Cost: 9)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 8, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ Fresh_0 + 8 >= 500 ]
		(Comp: 1, Cost: 8)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 7, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ Fresh_0 + 7 >= 500 ]
		(Comp: 1, Cost: 7)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 6, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ Fresh_0 + 6 >= 500 ]
		(Comp: 1, Cost: 6)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 5, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ Fresh_0 + 5 >= 500 ]
		(Comp: 1, Cost: 5)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 4, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ Fresh_0 + 4 >= 500 ]
		(Comp: 1, Cost: 4)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 3, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ Fresh_0 + 3 >= 500 ]
		(Comp: 1, Cost: 3)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 2, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ Fresh_0 + 2 >= 500 ]
		(Comp: 1, Cost: 2)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 1, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ Fresh_0 + 1 >= 500 ]
		(Comp: 1, Cost: 1)     f1(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Ar_0, Fresh_3, Ar_2)) [ -Ar_2 + 499 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ -Ar_0 - Ar_2 + 999 >= 0 /\ -Ar_0 + 500 >= 0 /\ Ar_0 >= 500 ]
		(Comp: ?, Cost: 1)     f1(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Ar_0 + 1, Ar_1, Ar_2)) [ -Ar_2 + 499 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ -Ar_0 - Ar_2 + 999 >= 0 /\ -Ar_0 + 500 >= 0 /\ 499 >= Ar_0 ]
		(Comp: 1, Cost: 1)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_1, Fresh_2, Fresh_1)) [ 0 <= 0 /\ Fresh_1 >= 500 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 11, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ 499 >= Fresh_0 + 9 /\ 9 >= 0 /\ -2*Fresh_0 + 989 >= 0 /\ -Fresh_0 + 490 >= 0 /\ 499 >= Fresh_0 + 10 ] with all transitions in problem 16, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 11, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ 499 >= Fresh_0 + 9 /\ 9 >= 0 /\ -2*Fresh_0 + 989 >= 0 /\ -Fresh_0 + 490 >= 0 /\ 499 >= Fresh_0 + 10 /\ 10 >= 0 /\ -2*Fresh_0 + 988 >= 0 /\ -Fresh_0 + 489 >= 0 /\ Fresh_0 + 11 >= 500 ]
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 12, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ 499 >= Fresh_0 + 9 /\ 9 >= 0 /\ -2*Fresh_0 + 989 >= 0 /\ -Fresh_0 + 490 >= 0 /\ 499 >= Fresh_0 + 10 /\ 10 >= 0 /\ -2*Fresh_0 + 988 >= 0 /\ -Fresh_0 + 489 >= 0 /\ 499 >= Fresh_0 + 11 ]
We thus obtain the following problem:
17:	T:
		(Comp: 1, Cost: 12)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 11, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ 499 >= Fresh_0 + 9 /\ 9 >= 0 /\ -2*Fresh_0 + 989 >= 0 /\ -Fresh_0 + 490 >= 0 /\ 499 >= Fresh_0 + 10 /\ 10 >= 0 /\ -2*Fresh_0 + 988 >= 0 /\ -Fresh_0 + 489 >= 0 /\ Fresh_0 + 11 >= 500 ]
		(Comp: 1, Cost: 12)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 12, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ 499 >= Fresh_0 + 9 /\ 9 >= 0 /\ -2*Fresh_0 + 989 >= 0 /\ -Fresh_0 + 490 >= 0 /\ 499 >= Fresh_0 + 10 /\ 10 >= 0 /\ -2*Fresh_0 + 988 >= 0 /\ -Fresh_0 + 489 >= 0 /\ 499 >= Fresh_0 + 11 ]
		(Comp: 1, Cost: 11)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 10, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ 499 >= Fresh_0 + 9 /\ 9 >= 0 /\ -2*Fresh_0 + 989 >= 0 /\ -Fresh_0 + 490 >= 0 /\ Fresh_0 + 10 >= 500 ]
		(Comp: 1, Cost: 10)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 9, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ Fresh_0 + 9 >= 500 ]
		(Comp: 1, Cost: 9)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 8, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ Fresh_0 + 8 >= 500 ]
		(Comp: 1, Cost: 8)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 7, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ Fresh_0 + 7 >= 500 ]
		(Comp: 1, Cost: 7)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 6, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ Fresh_0 + 6 >= 500 ]
		(Comp: 1, Cost: 6)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 5, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ Fresh_0 + 5 >= 500 ]
		(Comp: 1, Cost: 5)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 4, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ Fresh_0 + 4 >= 500 ]
		(Comp: 1, Cost: 4)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 3, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ Fresh_0 + 3 >= 500 ]
		(Comp: 1, Cost: 3)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 2, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ Fresh_0 + 2 >= 500 ]
		(Comp: 1, Cost: 2)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 1, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ Fresh_0 + 1 >= 500 ]
		(Comp: 1, Cost: 1)     f1(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Ar_0, Fresh_3, Ar_2)) [ -Ar_2 + 499 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ -Ar_0 - Ar_2 + 999 >= 0 /\ -Ar_0 + 500 >= 0 /\ Ar_0 >= 500 ]
		(Comp: ?, Cost: 1)     f1(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Ar_0 + 1, Ar_1, Ar_2)) [ -Ar_2 + 499 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ -Ar_0 - Ar_2 + 999 >= 0 /\ -Ar_0 + 500 >= 0 /\ 499 >= Ar_0 ]
		(Comp: 1, Cost: 1)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_1, Fresh_2, Fresh_1)) [ 0 <= 0 /\ Fresh_1 >= 500 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 12, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ 499 >= Fresh_0 + 9 /\ 9 >= 0 /\ -2*Fresh_0 + 989 >= 0 /\ -Fresh_0 + 490 >= 0 /\ 499 >= Fresh_0 + 10 /\ 10 >= 0 /\ -2*Fresh_0 + 988 >= 0 /\ -Fresh_0 + 489 >= 0 /\ 499 >= Fresh_0 + 11 ] with all transitions in problem 17, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 12, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ 499 >= Fresh_0 + 9 /\ 9 >= 0 /\ -2*Fresh_0 + 989 >= 0 /\ -Fresh_0 + 490 >= 0 /\ 499 >= Fresh_0 + 10 /\ 10 >= 0 /\ -2*Fresh_0 + 988 >= 0 /\ -Fresh_0 + 489 >= 0 /\ 499 >= Fresh_0 + 11 /\ 11 >= 0 /\ -2*Fresh_0 + 987 >= 0 /\ -Fresh_0 + 488 >= 0 /\ Fresh_0 + 12 >= 500 ]
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 13, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ 499 >= Fresh_0 + 9 /\ 9 >= 0 /\ -2*Fresh_0 + 989 >= 0 /\ -Fresh_0 + 490 >= 0 /\ 499 >= Fresh_0 + 10 /\ 10 >= 0 /\ -2*Fresh_0 + 988 >= 0 /\ -Fresh_0 + 489 >= 0 /\ 499 >= Fresh_0 + 11 /\ 11 >= 0 /\ -2*Fresh_0 + 987 >= 0 /\ -Fresh_0 + 488 >= 0 /\ 499 >= Fresh_0 + 12 ]
We thus obtain the following problem:
18:	T:
		(Comp: 1, Cost: 13)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 12, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ 499 >= Fresh_0 + 9 /\ 9 >= 0 /\ -2*Fresh_0 + 989 >= 0 /\ -Fresh_0 + 490 >= 0 /\ 499 >= Fresh_0 + 10 /\ 10 >= 0 /\ -2*Fresh_0 + 988 >= 0 /\ -Fresh_0 + 489 >= 0 /\ 499 >= Fresh_0 + 11 /\ 11 >= 0 /\ -2*Fresh_0 + 987 >= 0 /\ -Fresh_0 + 488 >= 0 /\ Fresh_0 + 12 >= 500 ]
		(Comp: 1, Cost: 13)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 13, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ 499 >= Fresh_0 + 9 /\ 9 >= 0 /\ -2*Fresh_0 + 989 >= 0 /\ -Fresh_0 + 490 >= 0 /\ 499 >= Fresh_0 + 10 /\ 10 >= 0 /\ -2*Fresh_0 + 988 >= 0 /\ -Fresh_0 + 489 >= 0 /\ 499 >= Fresh_0 + 11 /\ 11 >= 0 /\ -2*Fresh_0 + 987 >= 0 /\ -Fresh_0 + 488 >= 0 /\ 499 >= Fresh_0 + 12 ]
		(Comp: 1, Cost: 12)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 11, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ 499 >= Fresh_0 + 9 /\ 9 >= 0 /\ -2*Fresh_0 + 989 >= 0 /\ -Fresh_0 + 490 >= 0 /\ 499 >= Fresh_0 + 10 /\ 10 >= 0 /\ -2*Fresh_0 + 988 >= 0 /\ -Fresh_0 + 489 >= 0 /\ Fresh_0 + 11 >= 500 ]
		(Comp: 1, Cost: 11)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 10, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ 499 >= Fresh_0 + 9 /\ 9 >= 0 /\ -2*Fresh_0 + 989 >= 0 /\ -Fresh_0 + 490 >= 0 /\ Fresh_0 + 10 >= 500 ]
		(Comp: 1, Cost: 10)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 9, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ Fresh_0 + 9 >= 500 ]
		(Comp: 1, Cost: 9)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 8, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ Fresh_0 + 8 >= 500 ]
		(Comp: 1, Cost: 8)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 7, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ Fresh_0 + 7 >= 500 ]
		(Comp: 1, Cost: 7)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 6, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ Fresh_0 + 6 >= 500 ]
		(Comp: 1, Cost: 6)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 5, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ Fresh_0 + 5 >= 500 ]
		(Comp: 1, Cost: 5)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 4, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ Fresh_0 + 4 >= 500 ]
		(Comp: 1, Cost: 4)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 3, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ Fresh_0 + 3 >= 500 ]
		(Comp: 1, Cost: 3)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 2, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ Fresh_0 + 2 >= 500 ]
		(Comp: 1, Cost: 2)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 1, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ Fresh_0 + 1 >= 500 ]
		(Comp: 1, Cost: 1)     f1(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Ar_0, Fresh_3, Ar_2)) [ -Ar_2 + 499 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ -Ar_0 - Ar_2 + 999 >= 0 /\ -Ar_0 + 500 >= 0 /\ Ar_0 >= 500 ]
		(Comp: ?, Cost: 1)     f1(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Ar_0 + 1, Ar_1, Ar_2)) [ -Ar_2 + 499 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ -Ar_0 - Ar_2 + 999 >= 0 /\ -Ar_0 + 500 >= 0 /\ 499 >= Ar_0 ]
		(Comp: 1, Cost: 1)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_1, Fresh_2, Fresh_1)) [ 0 <= 0 /\ Fresh_1 >= 500 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 13, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ 499 >= Fresh_0 + 9 /\ 9 >= 0 /\ -2*Fresh_0 + 989 >= 0 /\ -Fresh_0 + 490 >= 0 /\ 499 >= Fresh_0 + 10 /\ 10 >= 0 /\ -2*Fresh_0 + 988 >= 0 /\ -Fresh_0 + 489 >= 0 /\ 499 >= Fresh_0 + 11 /\ 11 >= 0 /\ -2*Fresh_0 + 987 >= 0 /\ -Fresh_0 + 488 >= 0 /\ 499 >= Fresh_0 + 12 ] with all transitions in problem 18, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 13, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ 499 >= Fresh_0 + 9 /\ 9 >= 0 /\ -2*Fresh_0 + 989 >= 0 /\ -Fresh_0 + 490 >= 0 /\ 499 >= Fresh_0 + 10 /\ 10 >= 0 /\ -2*Fresh_0 + 988 >= 0 /\ -Fresh_0 + 489 >= 0 /\ 499 >= Fresh_0 + 11 /\ 11 >= 0 /\ -2*Fresh_0 + 987 >= 0 /\ -Fresh_0 + 488 >= 0 /\ 499 >= Fresh_0 + 12 /\ 12 >= 0 /\ -2*Fresh_0 + 986 >= 0 /\ -Fresh_0 + 487 >= 0 /\ Fresh_0 + 13 >= 500 ]
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 14, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ 499 >= Fresh_0 + 9 /\ 9 >= 0 /\ -2*Fresh_0 + 989 >= 0 /\ -Fresh_0 + 490 >= 0 /\ 499 >= Fresh_0 + 10 /\ 10 >= 0 /\ -2*Fresh_0 + 988 >= 0 /\ -Fresh_0 + 489 >= 0 /\ 499 >= Fresh_0 + 11 /\ 11 >= 0 /\ -2*Fresh_0 + 987 >= 0 /\ -Fresh_0 + 488 >= 0 /\ 499 >= Fresh_0 + 12 /\ 12 >= 0 /\ -2*Fresh_0 + 986 >= 0 /\ -Fresh_0 + 487 >= 0 /\ 499 >= Fresh_0 + 13 ]
We thus obtain the following problem:
19:	T:
		(Comp: 1, Cost: 14)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 13, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ 499 >= Fresh_0 + 9 /\ 9 >= 0 /\ -2*Fresh_0 + 989 >= 0 /\ -Fresh_0 + 490 >= 0 /\ 499 >= Fresh_0 + 10 /\ 10 >= 0 /\ -2*Fresh_0 + 988 >= 0 /\ -Fresh_0 + 489 >= 0 /\ 499 >= Fresh_0 + 11 /\ 11 >= 0 /\ -2*Fresh_0 + 987 >= 0 /\ -Fresh_0 + 488 >= 0 /\ 499 >= Fresh_0 + 12 /\ 12 >= 0 /\ -2*Fresh_0 + 986 >= 0 /\ -Fresh_0 + 487 >= 0 /\ Fresh_0 + 13 >= 500 ]
		(Comp: 1, Cost: 14)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 14, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ 499 >= Fresh_0 + 9 /\ 9 >= 0 /\ -2*Fresh_0 + 989 >= 0 /\ -Fresh_0 + 490 >= 0 /\ 499 >= Fresh_0 + 10 /\ 10 >= 0 /\ -2*Fresh_0 + 988 >= 0 /\ -Fresh_0 + 489 >= 0 /\ 499 >= Fresh_0 + 11 /\ 11 >= 0 /\ -2*Fresh_0 + 987 >= 0 /\ -Fresh_0 + 488 >= 0 /\ 499 >= Fresh_0 + 12 /\ 12 >= 0 /\ -2*Fresh_0 + 986 >= 0 /\ -Fresh_0 + 487 >= 0 /\ 499 >= Fresh_0 + 13 ]
		(Comp: 1, Cost: 13)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 12, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ 499 >= Fresh_0 + 9 /\ 9 >= 0 /\ -2*Fresh_0 + 989 >= 0 /\ -Fresh_0 + 490 >= 0 /\ 499 >= Fresh_0 + 10 /\ 10 >= 0 /\ -2*Fresh_0 + 988 >= 0 /\ -Fresh_0 + 489 >= 0 /\ 499 >= Fresh_0 + 11 /\ 11 >= 0 /\ -2*Fresh_0 + 987 >= 0 /\ -Fresh_0 + 488 >= 0 /\ Fresh_0 + 12 >= 500 ]
		(Comp: 1, Cost: 12)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 11, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ 499 >= Fresh_0 + 9 /\ 9 >= 0 /\ -2*Fresh_0 + 989 >= 0 /\ -Fresh_0 + 490 >= 0 /\ 499 >= Fresh_0 + 10 /\ 10 >= 0 /\ -2*Fresh_0 + 988 >= 0 /\ -Fresh_0 + 489 >= 0 /\ Fresh_0 + 11 >= 500 ]
		(Comp: 1, Cost: 11)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 10, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ 499 >= Fresh_0 + 9 /\ 9 >= 0 /\ -2*Fresh_0 + 989 >= 0 /\ -Fresh_0 + 490 >= 0 /\ Fresh_0 + 10 >= 500 ]
		(Comp: 1, Cost: 10)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 9, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ Fresh_0 + 9 >= 500 ]
		(Comp: 1, Cost: 9)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 8, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ Fresh_0 + 8 >= 500 ]
		(Comp: 1, Cost: 8)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 7, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ Fresh_0 + 7 >= 500 ]
		(Comp: 1, Cost: 7)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 6, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ Fresh_0 + 6 >= 500 ]
		(Comp: 1, Cost: 6)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 5, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ Fresh_0 + 5 >= 500 ]
		(Comp: 1, Cost: 5)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 4, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ Fresh_0 + 4 >= 500 ]
		(Comp: 1, Cost: 4)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 3, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ Fresh_0 + 3 >= 500 ]
		(Comp: 1, Cost: 3)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 2, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ Fresh_0 + 2 >= 500 ]
		(Comp: 1, Cost: 2)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 1, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ Fresh_0 + 1 >= 500 ]
		(Comp: 1, Cost: 1)     f1(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Ar_0, Fresh_3, Ar_2)) [ -Ar_2 + 499 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ -Ar_0 - Ar_2 + 999 >= 0 /\ -Ar_0 + 500 >= 0 /\ Ar_0 >= 500 ]
		(Comp: ?, Cost: 1)     f1(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Ar_0 + 1, Ar_1, Ar_2)) [ -Ar_2 + 499 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ -Ar_0 - Ar_2 + 999 >= 0 /\ -Ar_0 + 500 >= 0 /\ 499 >= Ar_0 ]
		(Comp: 1, Cost: 1)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_1, Fresh_2, Fresh_1)) [ 0 <= 0 /\ Fresh_1 >= 500 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 14, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ 499 >= Fresh_0 + 9 /\ 9 >= 0 /\ -2*Fresh_0 + 989 >= 0 /\ -Fresh_0 + 490 >= 0 /\ 499 >= Fresh_0 + 10 /\ 10 >= 0 /\ -2*Fresh_0 + 988 >= 0 /\ -Fresh_0 + 489 >= 0 /\ 499 >= Fresh_0 + 11 /\ 11 >= 0 /\ -2*Fresh_0 + 987 >= 0 /\ -Fresh_0 + 488 >= 0 /\ 499 >= Fresh_0 + 12 /\ 12 >= 0 /\ -2*Fresh_0 + 986 >= 0 /\ -Fresh_0 + 487 >= 0 /\ 499 >= Fresh_0 + 13 ] with all transitions in problem 19, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 14, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ 499 >= Fresh_0 + 9 /\ 9 >= 0 /\ -2*Fresh_0 + 989 >= 0 /\ -Fresh_0 + 490 >= 0 /\ 499 >= Fresh_0 + 10 /\ 10 >= 0 /\ -2*Fresh_0 + 988 >= 0 /\ -Fresh_0 + 489 >= 0 /\ 499 >= Fresh_0 + 11 /\ 11 >= 0 /\ -2*Fresh_0 + 987 >= 0 /\ -Fresh_0 + 488 >= 0 /\ 499 >= Fresh_0 + 12 /\ 12 >= 0 /\ -2*Fresh_0 + 986 >= 0 /\ -Fresh_0 + 487 >= 0 /\ 499 >= Fresh_0 + 13 /\ 13 >= 0 /\ -2*Fresh_0 + 985 >= 0 /\ -Fresh_0 + 486 >= 0 /\ Fresh_0 + 14 >= 500 ]
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 15, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ 499 >= Fresh_0 + 9 /\ 9 >= 0 /\ -2*Fresh_0 + 989 >= 0 /\ -Fresh_0 + 490 >= 0 /\ 499 >= Fresh_0 + 10 /\ 10 >= 0 /\ -2*Fresh_0 + 988 >= 0 /\ -Fresh_0 + 489 >= 0 /\ 499 >= Fresh_0 + 11 /\ 11 >= 0 /\ -2*Fresh_0 + 987 >= 0 /\ -Fresh_0 + 488 >= 0 /\ 499 >= Fresh_0 + 12 /\ 12 >= 0 /\ -2*Fresh_0 + 986 >= 0 /\ -Fresh_0 + 487 >= 0 /\ 499 >= Fresh_0 + 13 /\ 13 >= 0 /\ -2*Fresh_0 + 985 >= 0 /\ -Fresh_0 + 486 >= 0 /\ 499 >= Fresh_0 + 14 ]
We thus obtain the following problem:
20:	T:
		(Comp: 1, Cost: 15)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 14, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ 499 >= Fresh_0 + 9 /\ 9 >= 0 /\ -2*Fresh_0 + 989 >= 0 /\ -Fresh_0 + 490 >= 0 /\ 499 >= Fresh_0 + 10 /\ 10 >= 0 /\ -2*Fresh_0 + 988 >= 0 /\ -Fresh_0 + 489 >= 0 /\ 499 >= Fresh_0 + 11 /\ 11 >= 0 /\ -2*Fresh_0 + 987 >= 0 /\ -Fresh_0 + 488 >= 0 /\ 499 >= Fresh_0 + 12 /\ 12 >= 0 /\ -2*Fresh_0 + 986 >= 0 /\ -Fresh_0 + 487 >= 0 /\ 499 >= Fresh_0 + 13 /\ 13 >= 0 /\ -2*Fresh_0 + 985 >= 0 /\ -Fresh_0 + 486 >= 0 /\ Fresh_0 + 14 >= 500 ]
		(Comp: 1, Cost: 15)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Fresh_0 + 15, Ar_1, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ 499 >= Fresh_0 + 9 /\ 9 >= 0 /\ -2*Fresh_0 + 989 >= 0 /\ -Fresh_0 + 490 >= 0 /\ 499 >= Fresh_0 + 10 /\ 10 >= 0 /\ -2*Fresh_0 + 988 >= 0 /\ -Fresh_0 + 489 >= 0 /\ 499 >= Fresh_0 + 11 /\ 11 >= 0 /\ -2*Fresh_0 + 987 >= 0 /\ -Fresh_0 + 488 >= 0 /\ 499 >= Fresh_0 + 12 /\ 12 >= 0 /\ -2*Fresh_0 + 986 >= 0 /\ -Fresh_0 + 487 >= 0 /\ 499 >= Fresh_0 + 13 /\ 13 >= 0 /\ -2*Fresh_0 + 985 >= 0 /\ -Fresh_0 + 486 >= 0 /\ 499 >= Fresh_0 + 14 ]
		(Comp: 1, Cost: 14)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 13, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ 499 >= Fresh_0 + 9 /\ 9 >= 0 /\ -2*Fresh_0 + 989 >= 0 /\ -Fresh_0 + 490 >= 0 /\ 499 >= Fresh_0 + 10 /\ 10 >= 0 /\ -2*Fresh_0 + 988 >= 0 /\ -Fresh_0 + 489 >= 0 /\ 499 >= Fresh_0 + 11 /\ 11 >= 0 /\ -2*Fresh_0 + 987 >= 0 /\ -Fresh_0 + 488 >= 0 /\ 499 >= Fresh_0 + 12 /\ 12 >= 0 /\ -2*Fresh_0 + 986 >= 0 /\ -Fresh_0 + 487 >= 0 /\ Fresh_0 + 13 >= 500 ]
		(Comp: 1, Cost: 13)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 12, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ 499 >= Fresh_0 + 9 /\ 9 >= 0 /\ -2*Fresh_0 + 989 >= 0 /\ -Fresh_0 + 490 >= 0 /\ 499 >= Fresh_0 + 10 /\ 10 >= 0 /\ -2*Fresh_0 + 988 >= 0 /\ -Fresh_0 + 489 >= 0 /\ 499 >= Fresh_0 + 11 /\ 11 >= 0 /\ -2*Fresh_0 + 987 >= 0 /\ -Fresh_0 + 488 >= 0 /\ Fresh_0 + 12 >= 500 ]
		(Comp: 1, Cost: 12)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 11, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ 499 >= Fresh_0 + 9 /\ 9 >= 0 /\ -2*Fresh_0 + 989 >= 0 /\ -Fresh_0 + 490 >= 0 /\ 499 >= Fresh_0 + 10 /\ 10 >= 0 /\ -2*Fresh_0 + 988 >= 0 /\ -Fresh_0 + 489 >= 0 /\ Fresh_0 + 11 >= 500 ]
		(Comp: 1, Cost: 11)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 10, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ 499 >= Fresh_0 + 9 /\ 9 >= 0 /\ -2*Fresh_0 + 989 >= 0 /\ -Fresh_0 + 490 >= 0 /\ Fresh_0 + 10 >= 500 ]
		(Comp: 1, Cost: 10)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 9, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ 499 >= Fresh_0 + 8 /\ 8 >= 0 /\ -2*Fresh_0 + 990 >= 0 /\ -Fresh_0 + 491 >= 0 /\ Fresh_0 + 9 >= 500 ]
		(Comp: 1, Cost: 9)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 8, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ 499 >= Fresh_0 + 7 /\ 7 >= 0 /\ -2*Fresh_0 + 991 >= 0 /\ -Fresh_0 + 492 >= 0 /\ Fresh_0 + 8 >= 500 ]
		(Comp: 1, Cost: 8)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 7, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ 499 >= Fresh_0 + 6 /\ 6 >= 0 /\ -2*Fresh_0 + 992 >= 0 /\ -Fresh_0 + 493 >= 0 /\ Fresh_0 + 7 >= 500 ]
		(Comp: 1, Cost: 7)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 6, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ 499 >= Fresh_0 + 5 /\ 5 >= 0 /\ -2*Fresh_0 + 993 >= 0 /\ -Fresh_0 + 494 >= 0 /\ Fresh_0 + 6 >= 500 ]
		(Comp: 1, Cost: 6)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 5, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ 499 >= Fresh_0 + 4 /\ 4 >= 0 /\ -2*Fresh_0 + 994 >= 0 /\ -Fresh_0 + 495 >= 0 /\ Fresh_0 + 5 >= 500 ]
		(Comp: 1, Cost: 5)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 4, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ 499 >= Fresh_0 + 3 /\ 3 >= 0 /\ -2*Fresh_0 + 995 >= 0 /\ -Fresh_0 + 496 >= 0 /\ Fresh_0 + 4 >= 500 ]
		(Comp: 1, Cost: 4)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 3, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ 499 >= Fresh_0 + 2 /\ 2 >= 0 /\ -2*Fresh_0 + 996 >= 0 /\ -Fresh_0 + 497 >= 0 /\ Fresh_0 + 3 >= 500 ]
		(Comp: 1, Cost: 3)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 2, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ 499 >= Fresh_0 + 1 /\ 1 >= 0 /\ -2*Fresh_0 + 997 >= 0 /\ -Fresh_0 + 498 >= 0 /\ Fresh_0 + 2 >= 500 ]
		(Comp: 1, Cost: 2)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_0 + 1, Fresh_3, Fresh_0)) [ 0 <= 0 /\ 499 >= Fresh_0 /\ -Fresh_0 + 499 >= 0 /\ 0 >= 0 /\ -2*Fresh_0 + 998 >= 0 /\ Fresh_0 + 1 >= 500 ]
		(Comp: 1, Cost: 1)     f1(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Ar_0, Fresh_3, Ar_2)) [ -Ar_2 + 499 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ -Ar_0 - Ar_2 + 999 >= 0 /\ -Ar_0 + 500 >= 0 /\ Ar_0 >= 500 ]
		(Comp: ?, Cost: 1)     f1(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Ar_0 + 1, Ar_1, Ar_2)) [ -Ar_2 + 499 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ -Ar_0 - Ar_2 + 999 >= 0 /\ -Ar_0 + 500 >= 0 /\ 499 >= Ar_0 ]
		(Comp: 1, Cost: 1)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f3(Fresh_1, Fresh_2, Fresh_1)) [ 0 <= 0 /\ Fresh_1 >= 500 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound ?

Time: 0.553 sec (SMT: 0.353 sec)
