
Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    f3(Ar_0, Ar_1) -> Com_1(f0(2, Ar_1))
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1) -> Com_1(f0(Ar_0 + 1, Fresh_1)) [ Fresh_1 >= 1 ]
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1) -> Com_1(f0(Ar_0 - 1, Fresh_0)) [ 0 >= Fresh_0 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1) -> Com_1(f3(Ar_0, Ar_1)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 1 produces the following problem:
2:	T:
		(Comp: 1, Cost: 1)    f3(Ar_0, Ar_1) -> Com_1(f0(2, Ar_1))
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1) -> Com_1(f0(Ar_0 + 1, Fresh_1)) [ Fresh_1 >= 1 ]
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1) -> Com_1(f0(Ar_0 - 1, Fresh_0)) [ 0 >= Fresh_0 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1) -> Com_1(f3(Ar_0, Ar_1)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1) -> Com_1(f3(Ar_0, Ar_1)) [ 0 <= 0 ] with all transitions in problem 2, the following new transition is obtained:
	koat_start(Ar_0, Ar_1) -> Com_1(f0(2, Ar_1)) [ 0 <= 0 ]
We thus obtain the following problem:
3:	T:
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1) -> Com_1(f0(2, Ar_1)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)    f3(Ar_0, Ar_1) -> Com_1(f0(2, Ar_1))
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1) -> Com_1(f0(Ar_0 + 1, Fresh_1)) [ Fresh_1 >= 1 ]
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1) -> Com_1(f0(Ar_0 - 1, Fresh_0)) [ 0 >= Fresh_0 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 3:
	f3(Ar_0, Ar_1) -> Com_1(f0(2, Ar_1))
We thus obtain the following problem:
4:	T:
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1) -> Com_1(f0(Ar_0 - 1, Fresh_0)) [ 0 >= Fresh_0 ]
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1) -> Com_1(f0(Ar_0 + 1, Fresh_1)) [ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1) -> Com_1(f0(2, Ar_1)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1) -> Com_1(f0(2, Ar_1)) [ 0 <= 0 ] with all transitions in problem 4, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1) -> Com_1(f0(1, Fresh_0)) [ 0 <= 0 /\ 0 >= Fresh_0 ]
	koat_start(Ar_0, Ar_1) -> Com_1(f0(3, Fresh_1)) [ 0 <= 0 /\ Fresh_1 >= 1 ]
We thus obtain the following problem:
5:	T:
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1) -> Com_1(f0(1, Fresh_0)) [ 0 <= 0 /\ 0 >= Fresh_0 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1) -> Com_1(f0(3, Fresh_1)) [ 0 <= 0 /\ Fresh_1 >= 1 ]
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1) -> Com_1(f0(Ar_0 - 1, Fresh_0)) [ 0 >= Fresh_0 ]
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1) -> Com_1(f0(Ar_0 + 1, Fresh_1)) [ Fresh_1 >= 1 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1) -> Com_1(f0(1, Fresh_0)) [ 0 <= 0 /\ 0 >= Fresh_0 ] with all transitions in problem 5, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1) -> Com_1(f0(0, Fresh_0')) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' ]
	koat_start(Ar_0, Ar_1) -> Com_1(f0(2, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ Fresh_1 >= 1 ]
We thus obtain the following problem:
6:	T:
		(Comp: 1, Cost: 3)    koat_start(Ar_0, Ar_1) -> Com_1(f0(0, Fresh_0')) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' ]
		(Comp: 1, Cost: 3)    koat_start(Ar_0, Ar_1) -> Com_1(f0(2, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1) -> Com_1(f0(3, Fresh_1)) [ 0 <= 0 /\ Fresh_1 >= 1 ]
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1) -> Com_1(f0(Ar_0 - 1, Fresh_0)) [ 0 >= Fresh_0 ]
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1) -> Com_1(f0(Ar_0 + 1, Fresh_1)) [ Fresh_1 >= 1 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1) -> Com_1(f0(0, Fresh_0')) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' ] with all transitions in problem 6, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1) -> Com_1(f0(-1, Fresh_0'')) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' ]
	koat_start(Ar_0, Ar_1) -> Com_1(f0(1, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ Fresh_1 >= 1 ]
We thus obtain the following problem:
7:	T:
		(Comp: 1, Cost: 4)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-1, Fresh_0'')) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' ]
		(Comp: 1, Cost: 4)    koat_start(Ar_0, Ar_1) -> Com_1(f0(1, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 3)    koat_start(Ar_0, Ar_1) -> Com_1(f0(2, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1) -> Com_1(f0(3, Fresh_1)) [ 0 <= 0 /\ Fresh_1 >= 1 ]
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1) -> Com_1(f0(Ar_0 - 1, Fresh_0)) [ 0 >= Fresh_0 ]
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1) -> Com_1(f0(Ar_0 + 1, Fresh_1)) [ Fresh_1 >= 1 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1) -> Com_1(f0(-1, Fresh_0'')) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' ] with all transitions in problem 7, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1) -> Com_1(f0(-2, Fresh_0''')) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' ]
	koat_start(Ar_0, Ar_1) -> Com_1(f0(0, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ Fresh_1 >= 1 ]
We thus obtain the following problem:
8:	T:
		(Comp: 1, Cost: 5)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-2, Fresh_0''')) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' ]
		(Comp: 1, Cost: 5)    koat_start(Ar_0, Ar_1) -> Com_1(f0(0, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 4)    koat_start(Ar_0, Ar_1) -> Com_1(f0(1, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 3)    koat_start(Ar_0, Ar_1) -> Com_1(f0(2, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1) -> Com_1(f0(3, Fresh_1)) [ 0 <= 0 /\ Fresh_1 >= 1 ]
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1) -> Com_1(f0(Ar_0 - 1, Fresh_0)) [ 0 >= Fresh_0 ]
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1) -> Com_1(f0(Ar_0 + 1, Fresh_1)) [ Fresh_1 >= 1 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1) -> Com_1(f0(-2, Fresh_0''')) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' ] with all transitions in problem 8, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1) -> Com_1(f0(-3, Fresh_0'''')) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' ]
	koat_start(Ar_0, Ar_1) -> Com_1(f0(-1, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ Fresh_1 >= 1 ]
We thus obtain the following problem:
9:	T:
		(Comp: 1, Cost: 6)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-3, Fresh_0'''')) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' ]
		(Comp: 1, Cost: 6)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-1, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 5)    koat_start(Ar_0, Ar_1) -> Com_1(f0(0, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 4)    koat_start(Ar_0, Ar_1) -> Com_1(f0(1, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 3)    koat_start(Ar_0, Ar_1) -> Com_1(f0(2, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1) -> Com_1(f0(3, Fresh_1)) [ 0 <= 0 /\ Fresh_1 >= 1 ]
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1) -> Com_1(f0(Ar_0 - 1, Fresh_0)) [ 0 >= Fresh_0 ]
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1) -> Com_1(f0(Ar_0 + 1, Fresh_1)) [ Fresh_1 >= 1 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1) -> Com_1(f0(-3, Fresh_0'''')) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' ] with all transitions in problem 9, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1) -> Com_1(f0(-4, Fresh_0''''')) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' ]
	koat_start(Ar_0, Ar_1) -> Com_1(f0(-2, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ Fresh_1 >= 1 ]
We thus obtain the following problem:
10:	T:
		(Comp: 1, Cost: 7)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-4, Fresh_0''''')) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' ]
		(Comp: 1, Cost: 7)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-2, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 6)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-1, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 5)    koat_start(Ar_0, Ar_1) -> Com_1(f0(0, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 4)    koat_start(Ar_0, Ar_1) -> Com_1(f0(1, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 3)    koat_start(Ar_0, Ar_1) -> Com_1(f0(2, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1) -> Com_1(f0(3, Fresh_1)) [ 0 <= 0 /\ Fresh_1 >= 1 ]
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1) -> Com_1(f0(Ar_0 - 1, Fresh_0)) [ 0 >= Fresh_0 ]
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1) -> Com_1(f0(Ar_0 + 1, Fresh_1)) [ Fresh_1 >= 1 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1) -> Com_1(f0(-4, Fresh_0''''')) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' ] with all transitions in problem 10, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1) -> Com_1(f0(-5, Fresh_0'''''')) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' ]
	koat_start(Ar_0, Ar_1) -> Com_1(f0(-3, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ Fresh_1 >= 1 ]
We thus obtain the following problem:
11:	T:
		(Comp: 1, Cost: 8)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-5, Fresh_0'''''')) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' ]
		(Comp: 1, Cost: 8)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-3, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 7)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-2, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 6)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-1, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 5)    koat_start(Ar_0, Ar_1) -> Com_1(f0(0, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 4)    koat_start(Ar_0, Ar_1) -> Com_1(f0(1, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 3)    koat_start(Ar_0, Ar_1) -> Com_1(f0(2, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1) -> Com_1(f0(3, Fresh_1)) [ 0 <= 0 /\ Fresh_1 >= 1 ]
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1) -> Com_1(f0(Ar_0 - 1, Fresh_0)) [ 0 >= Fresh_0 ]
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1) -> Com_1(f0(Ar_0 + 1, Fresh_1)) [ Fresh_1 >= 1 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1) -> Com_1(f0(-5, Fresh_0'''''')) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' ] with all transitions in problem 11, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1) -> Com_1(f0(-6, Fresh_0''''''')) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' ]
	koat_start(Ar_0, Ar_1) -> Com_1(f0(-4, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ Fresh_1 >= 1 ]
We thus obtain the following problem:
12:	T:
		(Comp: 1, Cost: 9)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-6, Fresh_0''''''')) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' ]
		(Comp: 1, Cost: 9)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-4, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 8)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-3, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 7)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-2, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 6)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-1, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 5)    koat_start(Ar_0, Ar_1) -> Com_1(f0(0, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 4)    koat_start(Ar_0, Ar_1) -> Com_1(f0(1, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 3)    koat_start(Ar_0, Ar_1) -> Com_1(f0(2, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1) -> Com_1(f0(3, Fresh_1)) [ 0 <= 0 /\ Fresh_1 >= 1 ]
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1) -> Com_1(f0(Ar_0 - 1, Fresh_0)) [ 0 >= Fresh_0 ]
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1) -> Com_1(f0(Ar_0 + 1, Fresh_1)) [ Fresh_1 >= 1 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1) -> Com_1(f0(-6, Fresh_0''''''')) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' ] with all transitions in problem 12, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1) -> Com_1(f0(-7, Fresh_0'''''''')) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ 0 >= Fresh_0'''''''' ]
	koat_start(Ar_0, Ar_1) -> Com_1(f0(-5, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ Fresh_1 >= 1 ]
We thus obtain the following problem:
13:	T:
		(Comp: 1, Cost: 10)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-7, Fresh_0'''''''')) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ 0 >= Fresh_0'''''''' ]
		(Comp: 1, Cost: 10)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-5, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 9)     koat_start(Ar_0, Ar_1) -> Com_1(f0(-4, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 8)     koat_start(Ar_0, Ar_1) -> Com_1(f0(-3, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 7)     koat_start(Ar_0, Ar_1) -> Com_1(f0(-2, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 6)     koat_start(Ar_0, Ar_1) -> Com_1(f0(-1, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 5)     koat_start(Ar_0, Ar_1) -> Com_1(f0(0, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 4)     koat_start(Ar_0, Ar_1) -> Com_1(f0(1, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 3)     koat_start(Ar_0, Ar_1) -> Com_1(f0(2, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 2)     koat_start(Ar_0, Ar_1) -> Com_1(f0(3, Fresh_1)) [ 0 <= 0 /\ Fresh_1 >= 1 ]
		(Comp: ?, Cost: 1)     f0(Ar_0, Ar_1) -> Com_1(f0(Ar_0 - 1, Fresh_0)) [ 0 >= Fresh_0 ]
		(Comp: ?, Cost: 1)     f0(Ar_0, Ar_1) -> Com_1(f0(Ar_0 + 1, Fresh_1)) [ Fresh_1 >= 1 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1) -> Com_1(f0(-7, Fresh_0'''''''')) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ 0 >= Fresh_0'''''''' ] with all transitions in problem 13, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1) -> Com_1(f0(-8, Fresh_0''''''''')) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ 0 >= Fresh_0'''''''' /\ 0 >= Fresh_0''''''''' ]
	koat_start(Ar_0, Ar_1) -> Com_1(f0(-6, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ 0 >= Fresh_0'''''''' /\ Fresh_1 >= 1 ]
We thus obtain the following problem:
14:	T:
		(Comp: 1, Cost: 11)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-8, Fresh_0''''''''')) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ 0 >= Fresh_0'''''''' /\ 0 >= Fresh_0''''''''' ]
		(Comp: 1, Cost: 11)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-6, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ 0 >= Fresh_0'''''''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 10)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-5, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 9)     koat_start(Ar_0, Ar_1) -> Com_1(f0(-4, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 8)     koat_start(Ar_0, Ar_1) -> Com_1(f0(-3, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 7)     koat_start(Ar_0, Ar_1) -> Com_1(f0(-2, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 6)     koat_start(Ar_0, Ar_1) -> Com_1(f0(-1, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 5)     koat_start(Ar_0, Ar_1) -> Com_1(f0(0, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 4)     koat_start(Ar_0, Ar_1) -> Com_1(f0(1, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 3)     koat_start(Ar_0, Ar_1) -> Com_1(f0(2, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 2)     koat_start(Ar_0, Ar_1) -> Com_1(f0(3, Fresh_1)) [ 0 <= 0 /\ Fresh_1 >= 1 ]
		(Comp: ?, Cost: 1)     f0(Ar_0, Ar_1) -> Com_1(f0(Ar_0 - 1, Fresh_0)) [ 0 >= Fresh_0 ]
		(Comp: ?, Cost: 1)     f0(Ar_0, Ar_1) -> Com_1(f0(Ar_0 + 1, Fresh_1)) [ Fresh_1 >= 1 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1) -> Com_1(f0(-8, Fresh_0''''''''')) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ 0 >= Fresh_0'''''''' /\ 0 >= Fresh_0''''''''' ] with all transitions in problem 14, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1) -> Com_1(f0(-9, Fresh_0'''''''''')) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ 0 >= Fresh_0'''''''' /\ 0 >= Fresh_0''''''''' /\ 0 >= Fresh_0'''''''''' ]
	koat_start(Ar_0, Ar_1) -> Com_1(f0(-7, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ 0 >= Fresh_0'''''''' /\ 0 >= Fresh_0''''''''' /\ Fresh_1 >= 1 ]
We thus obtain the following problem:
15:	T:
		(Comp: 1, Cost: 12)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-9, Fresh_0'''''''''')) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ 0 >= Fresh_0'''''''' /\ 0 >= Fresh_0''''''''' /\ 0 >= Fresh_0'''''''''' ]
		(Comp: 1, Cost: 12)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-7, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ 0 >= Fresh_0'''''''' /\ 0 >= Fresh_0''''''''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 11)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-6, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ 0 >= Fresh_0'''''''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 10)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-5, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 9)     koat_start(Ar_0, Ar_1) -> Com_1(f0(-4, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 8)     koat_start(Ar_0, Ar_1) -> Com_1(f0(-3, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 7)     koat_start(Ar_0, Ar_1) -> Com_1(f0(-2, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 6)     koat_start(Ar_0, Ar_1) -> Com_1(f0(-1, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 5)     koat_start(Ar_0, Ar_1) -> Com_1(f0(0, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 4)     koat_start(Ar_0, Ar_1) -> Com_1(f0(1, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 3)     koat_start(Ar_0, Ar_1) -> Com_1(f0(2, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 2)     koat_start(Ar_0, Ar_1) -> Com_1(f0(3, Fresh_1)) [ 0 <= 0 /\ Fresh_1 >= 1 ]
		(Comp: ?, Cost: 1)     f0(Ar_0, Ar_1) -> Com_1(f0(Ar_0 - 1, Fresh_0)) [ 0 >= Fresh_0 ]
		(Comp: ?, Cost: 1)     f0(Ar_0, Ar_1) -> Com_1(f0(Ar_0 + 1, Fresh_1)) [ Fresh_1 >= 1 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1) -> Com_1(f0(-9, Fresh_0'''''''''')) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ 0 >= Fresh_0'''''''' /\ 0 >= Fresh_0''''''''' /\ 0 >= Fresh_0'''''''''' ] with all transitions in problem 15, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1) -> Com_1(f0(-10, Fresh_0''''''''''')) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ 0 >= Fresh_0'''''''' /\ 0 >= Fresh_0''''''''' /\ 0 >= Fresh_0'''''''''' /\ 0 >= Fresh_0''''''''''' ]
	koat_start(Ar_0, Ar_1) -> Com_1(f0(-8, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ 0 >= Fresh_0'''''''' /\ 0 >= Fresh_0''''''''' /\ 0 >= Fresh_0'''''''''' /\ Fresh_1 >= 1 ]
We thus obtain the following problem:
16:	T:
		(Comp: 1, Cost: 13)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-10, Fresh_0''''''''''')) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ 0 >= Fresh_0'''''''' /\ 0 >= Fresh_0''''''''' /\ 0 >= Fresh_0'''''''''' /\ 0 >= Fresh_0''''''''''' ]
		(Comp: 1, Cost: 13)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-8, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ 0 >= Fresh_0'''''''' /\ 0 >= Fresh_0''''''''' /\ 0 >= Fresh_0'''''''''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 12)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-7, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ 0 >= Fresh_0'''''''' /\ 0 >= Fresh_0''''''''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 11)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-6, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ 0 >= Fresh_0'''''''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 10)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-5, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 9)     koat_start(Ar_0, Ar_1) -> Com_1(f0(-4, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 8)     koat_start(Ar_0, Ar_1) -> Com_1(f0(-3, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 7)     koat_start(Ar_0, Ar_1) -> Com_1(f0(-2, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 6)     koat_start(Ar_0, Ar_1) -> Com_1(f0(-1, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 5)     koat_start(Ar_0, Ar_1) -> Com_1(f0(0, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 4)     koat_start(Ar_0, Ar_1) -> Com_1(f0(1, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 3)     koat_start(Ar_0, Ar_1) -> Com_1(f0(2, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 2)     koat_start(Ar_0, Ar_1) -> Com_1(f0(3, Fresh_1)) [ 0 <= 0 /\ Fresh_1 >= 1 ]
		(Comp: ?, Cost: 1)     f0(Ar_0, Ar_1) -> Com_1(f0(Ar_0 - 1, Fresh_0)) [ 0 >= Fresh_0 ]
		(Comp: ?, Cost: 1)     f0(Ar_0, Ar_1) -> Com_1(f0(Ar_0 + 1, Fresh_1)) [ Fresh_1 >= 1 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1) -> Com_1(f0(-10, Fresh_0''''''''''')) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ 0 >= Fresh_0'''''''' /\ 0 >= Fresh_0''''''''' /\ 0 >= Fresh_0'''''''''' /\ 0 >= Fresh_0''''''''''' ] with all transitions in problem 16, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1) -> Com_1(f0(-11, Fresh_0'''''''''''')) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ 0 >= Fresh_0'''''''' /\ 0 >= Fresh_0''''''''' /\ 0 >= Fresh_0'''''''''' /\ 0 >= Fresh_0''''''''''' /\ 0 >= Fresh_0'''''''''''' ]
	koat_start(Ar_0, Ar_1) -> Com_1(f0(-9, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ 0 >= Fresh_0'''''''' /\ 0 >= Fresh_0''''''''' /\ 0 >= Fresh_0'''''''''' /\ 0 >= Fresh_0''''''''''' /\ Fresh_1 >= 1 ]
We thus obtain the following problem:
17:	T:
		(Comp: 1, Cost: 14)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-11, Fresh_0'''''''''''')) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ 0 >= Fresh_0'''''''' /\ 0 >= Fresh_0''''''''' /\ 0 >= Fresh_0'''''''''' /\ 0 >= Fresh_0''''''''''' /\ 0 >= Fresh_0'''''''''''' ]
		(Comp: 1, Cost: 14)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-9, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ 0 >= Fresh_0'''''''' /\ 0 >= Fresh_0''''''''' /\ 0 >= Fresh_0'''''''''' /\ 0 >= Fresh_0''''''''''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 13)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-8, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ 0 >= Fresh_0'''''''' /\ 0 >= Fresh_0''''''''' /\ 0 >= Fresh_0'''''''''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 12)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-7, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ 0 >= Fresh_0'''''''' /\ 0 >= Fresh_0''''''''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 11)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-6, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ 0 >= Fresh_0'''''''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 10)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-5, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 9)     koat_start(Ar_0, Ar_1) -> Com_1(f0(-4, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 8)     koat_start(Ar_0, Ar_1) -> Com_1(f0(-3, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 7)     koat_start(Ar_0, Ar_1) -> Com_1(f0(-2, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 6)     koat_start(Ar_0, Ar_1) -> Com_1(f0(-1, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 5)     koat_start(Ar_0, Ar_1) -> Com_1(f0(0, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 4)     koat_start(Ar_0, Ar_1) -> Com_1(f0(1, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 3)     koat_start(Ar_0, Ar_1) -> Com_1(f0(2, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 2)     koat_start(Ar_0, Ar_1) -> Com_1(f0(3, Fresh_1)) [ 0 <= 0 /\ Fresh_1 >= 1 ]
		(Comp: ?, Cost: 1)     f0(Ar_0, Ar_1) -> Com_1(f0(Ar_0 - 1, Fresh_0)) [ 0 >= Fresh_0 ]
		(Comp: ?, Cost: 1)     f0(Ar_0, Ar_1) -> Com_1(f0(Ar_0 + 1, Fresh_1)) [ Fresh_1 >= 1 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1) -> Com_1(f0(-11, Fresh_0'''''''''''')) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ 0 >= Fresh_0'''''''' /\ 0 >= Fresh_0''''''''' /\ 0 >= Fresh_0'''''''''' /\ 0 >= Fresh_0''''''''''' /\ 0 >= Fresh_0'''''''''''' ] with all transitions in problem 17, the following new transitions are obtained:
	koat_start(Ar_0, Ar_1) -> Com_1(f0(-12, Fresh_0''''''''''''')) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ 0 >= Fresh_0'''''''' /\ 0 >= Fresh_0''''''''' /\ 0 >= Fresh_0'''''''''' /\ 0 >= Fresh_0''''''''''' /\ 0 >= Fresh_0'''''''''''' /\ 0 >= Fresh_0''''''''''''' ]
	koat_start(Ar_0, Ar_1) -> Com_1(f0(-10, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ 0 >= Fresh_0'''''''' /\ 0 >= Fresh_0''''''''' /\ 0 >= Fresh_0'''''''''' /\ 0 >= Fresh_0''''''''''' /\ 0 >= Fresh_0'''''''''''' /\ Fresh_1 >= 1 ]
We thus obtain the following problem:
18:	T:
		(Comp: 1, Cost: 15)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-12, Fresh_0''''''''''''')) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ 0 >= Fresh_0'''''''' /\ 0 >= Fresh_0''''''''' /\ 0 >= Fresh_0'''''''''' /\ 0 >= Fresh_0''''''''''' /\ 0 >= Fresh_0'''''''''''' /\ 0 >= Fresh_0''''''''''''' ]
		(Comp: 1, Cost: 15)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-10, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ 0 >= Fresh_0'''''''' /\ 0 >= Fresh_0''''''''' /\ 0 >= Fresh_0'''''''''' /\ 0 >= Fresh_0''''''''''' /\ 0 >= Fresh_0'''''''''''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 14)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-9, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ 0 >= Fresh_0'''''''' /\ 0 >= Fresh_0''''''''' /\ 0 >= Fresh_0'''''''''' /\ 0 >= Fresh_0''''''''''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 13)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-8, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ 0 >= Fresh_0'''''''' /\ 0 >= Fresh_0''''''''' /\ 0 >= Fresh_0'''''''''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 12)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-7, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ 0 >= Fresh_0'''''''' /\ 0 >= Fresh_0''''''''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 11)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-6, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ 0 >= Fresh_0'''''''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 10)    koat_start(Ar_0, Ar_1) -> Com_1(f0(-5, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ 0 >= Fresh_0''''''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 9)     koat_start(Ar_0, Ar_1) -> Com_1(f0(-4, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ 0 >= Fresh_0'''''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 8)     koat_start(Ar_0, Ar_1) -> Com_1(f0(-3, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ 0 >= Fresh_0''''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 7)     koat_start(Ar_0, Ar_1) -> Com_1(f0(-2, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ 0 >= Fresh_0'''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 6)     koat_start(Ar_0, Ar_1) -> Com_1(f0(-1, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ 0 >= Fresh_0''' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 5)     koat_start(Ar_0, Ar_1) -> Com_1(f0(0, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ 0 >= Fresh_0'' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 4)     koat_start(Ar_0, Ar_1) -> Com_1(f0(1, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ 0 >= Fresh_0' /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 3)     koat_start(Ar_0, Ar_1) -> Com_1(f0(2, Fresh_1)) [ 0 <= 0 /\ 0 >= Fresh_0 /\ Fresh_1 >= 1 ]
		(Comp: 1, Cost: 2)     koat_start(Ar_0, Ar_1) -> Com_1(f0(3, Fresh_1)) [ 0 <= 0 /\ Fresh_1 >= 1 ]
		(Comp: ?, Cost: 1)     f0(Ar_0, Ar_1) -> Com_1(f0(Ar_0 - 1, Fresh_0)) [ 0 >= Fresh_0 ]
		(Comp: ?, Cost: 1)     f0(Ar_0, Ar_1) -> Com_1(f0(Ar_0 + 1, Fresh_1)) [ Fresh_1 >= 1 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound ?

Time: 0.139 sec (SMT: 0.098 sec)
