
Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    f0(Ar_0) -> Com_1(f1(Fresh_1)) [ Fresh_1 >= 2 ]
		(Comp: ?, Cost: 1)    f1(Ar_0) -> Com_1(f1(Fresh_0)) [ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0) -> Com_1(f0(Ar_0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 1 produces the following problem:
2:	T:
		(Comp: 1, Cost: 1)    f0(Ar_0) -> Com_1(f1(Fresh_1)) [ Fresh_1 >= 2 ]
		(Comp: ?, Cost: 1)    f1(Ar_0) -> Com_1(f1(Fresh_0)) [ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0) -> Com_1(f0(Ar_0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f0(Ar_0) -> Com_1(f1(Fresh_1)) [ Fresh_1 >= 2 ] with all transitions in problem 2, the following new transition is obtained:
	f0(Ar_0) -> Com_1(f1(Fresh_0)) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 ]
We thus obtain the following problem:
3:	T:
		(Comp: 1, Cost: 2)    f0(Ar_0) -> Com_1(f1(Fresh_0)) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 ]
		(Comp: ?, Cost: 1)    f1(Ar_0) -> Com_1(f1(Fresh_0)) [ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0) -> Com_1(f0(Ar_0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f0(Ar_0) -> Com_1(f1(Fresh_0)) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 ] with all transitions in problem 3, the following new transition is obtained:
	f0(Ar_0) -> Com_1(f1(Fresh_0')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 ]
We thus obtain the following problem:
4:	T:
		(Comp: 1, Cost: 3)    f0(Ar_0) -> Com_1(f1(Fresh_0')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 ]
		(Comp: ?, Cost: 1)    f1(Ar_0) -> Com_1(f1(Fresh_0)) [ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0) -> Com_1(f0(Ar_0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f0(Ar_0) -> Com_1(f1(Fresh_0')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 ] with all transitions in problem 4, the following new transition is obtained:
	f0(Ar_0) -> Com_1(f1(Fresh_0'')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 /\ 1 >= Fresh_0'' /\ Fresh_0'' + 1 >= 0 /\ C'' >= 2 ]
We thus obtain the following problem:
5:	T:
		(Comp: 1, Cost: 4)    f0(Ar_0) -> Com_1(f1(Fresh_0'')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 /\ 1 >= Fresh_0'' /\ Fresh_0'' + 1 >= 0 /\ C'' >= 2 ]
		(Comp: ?, Cost: 1)    f1(Ar_0) -> Com_1(f1(Fresh_0)) [ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0) -> Com_1(f0(Ar_0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f0(Ar_0) -> Com_1(f1(Fresh_0'')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 /\ 1 >= Fresh_0'' /\ Fresh_0'' + 1 >= 0 /\ C'' >= 2 ] with all transitions in problem 5, the following new transition is obtained:
	f0(Ar_0) -> Com_1(f1(Fresh_0''')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 /\ 1 >= Fresh_0'' /\ Fresh_0'' + 1 >= 0 /\ C'' >= 2 /\ 1 >= Fresh_0''' /\ Fresh_0''' + 1 >= 0 /\ C''' >= 2 ]
We thus obtain the following problem:
6:	T:
		(Comp: 1, Cost: 5)    f0(Ar_0) -> Com_1(f1(Fresh_0''')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 /\ 1 >= Fresh_0'' /\ Fresh_0'' + 1 >= 0 /\ C'' >= 2 /\ 1 >= Fresh_0''' /\ Fresh_0''' + 1 >= 0 /\ C''' >= 2 ]
		(Comp: ?, Cost: 1)    f1(Ar_0) -> Com_1(f1(Fresh_0)) [ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0) -> Com_1(f0(Ar_0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f0(Ar_0) -> Com_1(f1(Fresh_0''')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 /\ 1 >= Fresh_0'' /\ Fresh_0'' + 1 >= 0 /\ C'' >= 2 /\ 1 >= Fresh_0''' /\ Fresh_0''' + 1 >= 0 /\ C''' >= 2 ] with all transitions in problem 6, the following new transition is obtained:
	f0(Ar_0) -> Com_1(f1(Fresh_0'''')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 /\ 1 >= Fresh_0'' /\ Fresh_0'' + 1 >= 0 /\ C'' >= 2 /\ 1 >= Fresh_0''' /\ Fresh_0''' + 1 >= 0 /\ C''' >= 2 /\ 1 >= Fresh_0'''' /\ Fresh_0'''' + 1 >= 0 /\ C'''' >= 2 ]
We thus obtain the following problem:
7:	T:
		(Comp: 1, Cost: 6)    f0(Ar_0) -> Com_1(f1(Fresh_0'''')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 /\ 1 >= Fresh_0'' /\ Fresh_0'' + 1 >= 0 /\ C'' >= 2 /\ 1 >= Fresh_0''' /\ Fresh_0''' + 1 >= 0 /\ C''' >= 2 /\ 1 >= Fresh_0'''' /\ Fresh_0'''' + 1 >= 0 /\ C'''' >= 2 ]
		(Comp: ?, Cost: 1)    f1(Ar_0) -> Com_1(f1(Fresh_0)) [ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0) -> Com_1(f0(Ar_0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f0(Ar_0) -> Com_1(f1(Fresh_0'''')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 /\ 1 >= Fresh_0'' /\ Fresh_0'' + 1 >= 0 /\ C'' >= 2 /\ 1 >= Fresh_0''' /\ Fresh_0''' + 1 >= 0 /\ C''' >= 2 /\ 1 >= Fresh_0'''' /\ Fresh_0'''' + 1 >= 0 /\ C'''' >= 2 ] with all transitions in problem 7, the following new transition is obtained:
	f0(Ar_0) -> Com_1(f1(Fresh_0''''')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 /\ 1 >= Fresh_0'' /\ Fresh_0'' + 1 >= 0 /\ C'' >= 2 /\ 1 >= Fresh_0''' /\ Fresh_0''' + 1 >= 0 /\ C''' >= 2 /\ 1 >= Fresh_0'''' /\ Fresh_0'''' + 1 >= 0 /\ C'''' >= 2 /\ 1 >= Fresh_0''''' /\ Fresh_0''''' + 1 >= 0 /\ C''''' >= 2 ]
We thus obtain the following problem:
8:	T:
		(Comp: 1, Cost: 7)    f0(Ar_0) -> Com_1(f1(Fresh_0''''')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 /\ 1 >= Fresh_0'' /\ Fresh_0'' + 1 >= 0 /\ C'' >= 2 /\ 1 >= Fresh_0''' /\ Fresh_0''' + 1 >= 0 /\ C''' >= 2 /\ 1 >= Fresh_0'''' /\ Fresh_0'''' + 1 >= 0 /\ C'''' >= 2 /\ 1 >= Fresh_0''''' /\ Fresh_0''''' + 1 >= 0 /\ C''''' >= 2 ]
		(Comp: ?, Cost: 1)    f1(Ar_0) -> Com_1(f1(Fresh_0)) [ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0) -> Com_1(f0(Ar_0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f0(Ar_0) -> Com_1(f1(Fresh_0''''')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 /\ 1 >= Fresh_0'' /\ Fresh_0'' + 1 >= 0 /\ C'' >= 2 /\ 1 >= Fresh_0''' /\ Fresh_0''' + 1 >= 0 /\ C''' >= 2 /\ 1 >= Fresh_0'''' /\ Fresh_0'''' + 1 >= 0 /\ C'''' >= 2 /\ 1 >= Fresh_0''''' /\ Fresh_0''''' + 1 >= 0 /\ C''''' >= 2 ] with all transitions in problem 8, the following new transition is obtained:
	f0(Ar_0) -> Com_1(f1(Fresh_0'''''')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 /\ 1 >= Fresh_0'' /\ Fresh_0'' + 1 >= 0 /\ C'' >= 2 /\ 1 >= Fresh_0''' /\ Fresh_0''' + 1 >= 0 /\ C''' >= 2 /\ 1 >= Fresh_0'''' /\ Fresh_0'''' + 1 >= 0 /\ C'''' >= 2 /\ 1 >= Fresh_0''''' /\ Fresh_0''''' + 1 >= 0 /\ C''''' >= 2 /\ 1 >= Fresh_0'''''' /\ Fresh_0'''''' + 1 >= 0 /\ C'''''' >= 2 ]
We thus obtain the following problem:
9:	T:
		(Comp: 1, Cost: 8)    f0(Ar_0) -> Com_1(f1(Fresh_0'''''')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 /\ 1 >= Fresh_0'' /\ Fresh_0'' + 1 >= 0 /\ C'' >= 2 /\ 1 >= Fresh_0''' /\ Fresh_0''' + 1 >= 0 /\ C''' >= 2 /\ 1 >= Fresh_0'''' /\ Fresh_0'''' + 1 >= 0 /\ C'''' >= 2 /\ 1 >= Fresh_0''''' /\ Fresh_0''''' + 1 >= 0 /\ C''''' >= 2 /\ 1 >= Fresh_0'''''' /\ Fresh_0'''''' + 1 >= 0 /\ C'''''' >= 2 ]
		(Comp: ?, Cost: 1)    f1(Ar_0) -> Com_1(f1(Fresh_0)) [ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0) -> Com_1(f0(Ar_0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f0(Ar_0) -> Com_1(f1(Fresh_0'''''')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 /\ 1 >= Fresh_0'' /\ Fresh_0'' + 1 >= 0 /\ C'' >= 2 /\ 1 >= Fresh_0''' /\ Fresh_0''' + 1 >= 0 /\ C''' >= 2 /\ 1 >= Fresh_0'''' /\ Fresh_0'''' + 1 >= 0 /\ C'''' >= 2 /\ 1 >= Fresh_0''''' /\ Fresh_0''''' + 1 >= 0 /\ C''''' >= 2 /\ 1 >= Fresh_0'''''' /\ Fresh_0'''''' + 1 >= 0 /\ C'''''' >= 2 ] with all transitions in problem 9, the following new transition is obtained:
	f0(Ar_0) -> Com_1(f1(Fresh_0''''''')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 /\ 1 >= Fresh_0'' /\ Fresh_0'' + 1 >= 0 /\ C'' >= 2 /\ 1 >= Fresh_0''' /\ Fresh_0''' + 1 >= 0 /\ C''' >= 2 /\ 1 >= Fresh_0'''' /\ Fresh_0'''' + 1 >= 0 /\ C'''' >= 2 /\ 1 >= Fresh_0''''' /\ Fresh_0''''' + 1 >= 0 /\ C''''' >= 2 /\ 1 >= Fresh_0'''''' /\ Fresh_0'''''' + 1 >= 0 /\ C'''''' >= 2 /\ 1 >= Fresh_0''''''' /\ Fresh_0''''''' + 1 >= 0 /\ C''''''' >= 2 ]
We thus obtain the following problem:
10:	T:
		(Comp: 1, Cost: 9)    f0(Ar_0) -> Com_1(f1(Fresh_0''''''')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 /\ 1 >= Fresh_0'' /\ Fresh_0'' + 1 >= 0 /\ C'' >= 2 /\ 1 >= Fresh_0''' /\ Fresh_0''' + 1 >= 0 /\ C''' >= 2 /\ 1 >= Fresh_0'''' /\ Fresh_0'''' + 1 >= 0 /\ C'''' >= 2 /\ 1 >= Fresh_0''''' /\ Fresh_0''''' + 1 >= 0 /\ C''''' >= 2 /\ 1 >= Fresh_0'''''' /\ Fresh_0'''''' + 1 >= 0 /\ C'''''' >= 2 /\ 1 >= Fresh_0''''''' /\ Fresh_0''''''' + 1 >= 0 /\ C''''''' >= 2 ]
		(Comp: ?, Cost: 1)    f1(Ar_0) -> Com_1(f1(Fresh_0)) [ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0) -> Com_1(f0(Ar_0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f0(Ar_0) -> Com_1(f1(Fresh_0''''''')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 /\ 1 >= Fresh_0'' /\ Fresh_0'' + 1 >= 0 /\ C'' >= 2 /\ 1 >= Fresh_0''' /\ Fresh_0''' + 1 >= 0 /\ C''' >= 2 /\ 1 >= Fresh_0'''' /\ Fresh_0'''' + 1 >= 0 /\ C'''' >= 2 /\ 1 >= Fresh_0''''' /\ Fresh_0''''' + 1 >= 0 /\ C''''' >= 2 /\ 1 >= Fresh_0'''''' /\ Fresh_0'''''' + 1 >= 0 /\ C'''''' >= 2 /\ 1 >= Fresh_0''''''' /\ Fresh_0''''''' + 1 >= 0 /\ C''''''' >= 2 ] with all transitions in problem 10, the following new transition is obtained:
	f0(Ar_0) -> Com_1(f1(Fresh_0'''''''')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 /\ 1 >= Fresh_0'' /\ Fresh_0'' + 1 >= 0 /\ C'' >= 2 /\ 1 >= Fresh_0''' /\ Fresh_0''' + 1 >= 0 /\ C''' >= 2 /\ 1 >= Fresh_0'''' /\ Fresh_0'''' + 1 >= 0 /\ C'''' >= 2 /\ 1 >= Fresh_0''''' /\ Fresh_0''''' + 1 >= 0 /\ C''''' >= 2 /\ 1 >= Fresh_0'''''' /\ Fresh_0'''''' + 1 >= 0 /\ C'''''' >= 2 /\ 1 >= Fresh_0''''''' /\ Fresh_0''''''' + 1 >= 0 /\ C''''''' >= 2 /\ 1 >= Fresh_0'''''''' /\ Fresh_0'''''''' + 1 >= 0 /\ C'''''''' >= 2 ]
We thus obtain the following problem:
11:	T:
		(Comp: 1, Cost: 10)    f0(Ar_0) -> Com_1(f1(Fresh_0'''''''')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 /\ 1 >= Fresh_0'' /\ Fresh_0'' + 1 >= 0 /\ C'' >= 2 /\ 1 >= Fresh_0''' /\ Fresh_0''' + 1 >= 0 /\ C''' >= 2 /\ 1 >= Fresh_0'''' /\ Fresh_0'''' + 1 >= 0 /\ C'''' >= 2 /\ 1 >= Fresh_0''''' /\ Fresh_0''''' + 1 >= 0 /\ C''''' >= 2 /\ 1 >= Fresh_0'''''' /\ Fresh_0'''''' + 1 >= 0 /\ C'''''' >= 2 /\ 1 >= Fresh_0''''''' /\ Fresh_0''''''' + 1 >= 0 /\ C''''''' >= 2 /\ 1 >= Fresh_0'''''''' /\ Fresh_0'''''''' + 1 >= 0 /\ C'''''''' >= 2 ]
		(Comp: ?, Cost: 1)     f1(Ar_0) -> Com_1(f1(Fresh_0)) [ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 ]
		(Comp: 1, Cost: 0)     koat_start(Ar_0) -> Com_1(f0(Ar_0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f0(Ar_0) -> Com_1(f1(Fresh_0'''''''')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 /\ 1 >= Fresh_0'' /\ Fresh_0'' + 1 >= 0 /\ C'' >= 2 /\ 1 >= Fresh_0''' /\ Fresh_0''' + 1 >= 0 /\ C''' >= 2 /\ 1 >= Fresh_0'''' /\ Fresh_0'''' + 1 >= 0 /\ C'''' >= 2 /\ 1 >= Fresh_0''''' /\ Fresh_0''''' + 1 >= 0 /\ C''''' >= 2 /\ 1 >= Fresh_0'''''' /\ Fresh_0'''''' + 1 >= 0 /\ C'''''' >= 2 /\ 1 >= Fresh_0''''''' /\ Fresh_0''''''' + 1 >= 0 /\ C''''''' >= 2 /\ 1 >= Fresh_0'''''''' /\ Fresh_0'''''''' + 1 >= 0 /\ C'''''''' >= 2 ] with all transitions in problem 11, the following new transition is obtained:
	f0(Ar_0) -> Com_1(f1(Fresh_0''''''''')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 /\ 1 >= Fresh_0'' /\ Fresh_0'' + 1 >= 0 /\ C'' >= 2 /\ 1 >= Fresh_0''' /\ Fresh_0''' + 1 >= 0 /\ C''' >= 2 /\ 1 >= Fresh_0'''' /\ Fresh_0'''' + 1 >= 0 /\ C'''' >= 2 /\ 1 >= Fresh_0''''' /\ Fresh_0''''' + 1 >= 0 /\ C''''' >= 2 /\ 1 >= Fresh_0'''''' /\ Fresh_0'''''' + 1 >= 0 /\ C'''''' >= 2 /\ 1 >= Fresh_0''''''' /\ Fresh_0''''''' + 1 >= 0 /\ C''''''' >= 2 /\ 1 >= Fresh_0'''''''' /\ Fresh_0'''''''' + 1 >= 0 /\ C'''''''' >= 2 /\ 1 >= Fresh_0''''''''' /\ Fresh_0''''''''' + 1 >= 0 /\ C''''''''' >= 2 ]
We thus obtain the following problem:
12:	T:
		(Comp: 1, Cost: 11)    f0(Ar_0) -> Com_1(f1(Fresh_0''''''''')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 /\ 1 >= Fresh_0'' /\ Fresh_0'' + 1 >= 0 /\ C'' >= 2 /\ 1 >= Fresh_0''' /\ Fresh_0''' + 1 >= 0 /\ C''' >= 2 /\ 1 >= Fresh_0'''' /\ Fresh_0'''' + 1 >= 0 /\ C'''' >= 2 /\ 1 >= Fresh_0''''' /\ Fresh_0''''' + 1 >= 0 /\ C''''' >= 2 /\ 1 >= Fresh_0'''''' /\ Fresh_0'''''' + 1 >= 0 /\ C'''''' >= 2 /\ 1 >= Fresh_0''''''' /\ Fresh_0''''''' + 1 >= 0 /\ C''''''' >= 2 /\ 1 >= Fresh_0'''''''' /\ Fresh_0'''''''' + 1 >= 0 /\ C'''''''' >= 2 /\ 1 >= Fresh_0''''''''' /\ Fresh_0''''''''' + 1 >= 0 /\ C''''''''' >= 2 ]
		(Comp: ?, Cost: 1)     f1(Ar_0) -> Com_1(f1(Fresh_0)) [ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 ]
		(Comp: 1, Cost: 0)     koat_start(Ar_0) -> Com_1(f0(Ar_0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f0(Ar_0) -> Com_1(f1(Fresh_0''''''''')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 /\ 1 >= Fresh_0'' /\ Fresh_0'' + 1 >= 0 /\ C'' >= 2 /\ 1 >= Fresh_0''' /\ Fresh_0''' + 1 >= 0 /\ C''' >= 2 /\ 1 >= Fresh_0'''' /\ Fresh_0'''' + 1 >= 0 /\ C'''' >= 2 /\ 1 >= Fresh_0''''' /\ Fresh_0''''' + 1 >= 0 /\ C''''' >= 2 /\ 1 >= Fresh_0'''''' /\ Fresh_0'''''' + 1 >= 0 /\ C'''''' >= 2 /\ 1 >= Fresh_0''''''' /\ Fresh_0''''''' + 1 >= 0 /\ C''''''' >= 2 /\ 1 >= Fresh_0'''''''' /\ Fresh_0'''''''' + 1 >= 0 /\ C'''''''' >= 2 /\ 1 >= Fresh_0''''''''' /\ Fresh_0''''''''' + 1 >= 0 /\ C''''''''' >= 2 ] with all transitions in problem 12, the following new transition is obtained:
	f0(Ar_0) -> Com_1(f1(Fresh_0'''''''''')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 /\ 1 >= Fresh_0'' /\ Fresh_0'' + 1 >= 0 /\ C'' >= 2 /\ 1 >= Fresh_0''' /\ Fresh_0''' + 1 >= 0 /\ C''' >= 2 /\ 1 >= Fresh_0'''' /\ Fresh_0'''' + 1 >= 0 /\ C'''' >= 2 /\ 1 >= Fresh_0''''' /\ Fresh_0''''' + 1 >= 0 /\ C''''' >= 2 /\ 1 >= Fresh_0'''''' /\ Fresh_0'''''' + 1 >= 0 /\ C'''''' >= 2 /\ 1 >= Fresh_0''''''' /\ Fresh_0''''''' + 1 >= 0 /\ C''''''' >= 2 /\ 1 >= Fresh_0'''''''' /\ Fresh_0'''''''' + 1 >= 0 /\ C'''''''' >= 2 /\ 1 >= Fresh_0''''''''' /\ Fresh_0''''''''' + 1 >= 0 /\ C''''''''' >= 2 /\ 1 >= Fresh_0'''''''''' /\ Fresh_0'''''''''' + 1 >= 0 /\ C'''''''''' >= 2 ]
We thus obtain the following problem:
13:	T:
		(Comp: 1, Cost: 12)    f0(Ar_0) -> Com_1(f1(Fresh_0'''''''''')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 /\ 1 >= Fresh_0'' /\ Fresh_0'' + 1 >= 0 /\ C'' >= 2 /\ 1 >= Fresh_0''' /\ Fresh_0''' + 1 >= 0 /\ C''' >= 2 /\ 1 >= Fresh_0'''' /\ Fresh_0'''' + 1 >= 0 /\ C'''' >= 2 /\ 1 >= Fresh_0''''' /\ Fresh_0''''' + 1 >= 0 /\ C''''' >= 2 /\ 1 >= Fresh_0'''''' /\ Fresh_0'''''' + 1 >= 0 /\ C'''''' >= 2 /\ 1 >= Fresh_0''''''' /\ Fresh_0''''''' + 1 >= 0 /\ C''''''' >= 2 /\ 1 >= Fresh_0'''''''' /\ Fresh_0'''''''' + 1 >= 0 /\ C'''''''' >= 2 /\ 1 >= Fresh_0''''''''' /\ Fresh_0''''''''' + 1 >= 0 /\ C''''''''' >= 2 /\ 1 >= Fresh_0'''''''''' /\ Fresh_0'''''''''' + 1 >= 0 /\ C'''''''''' >= 2 ]
		(Comp: ?, Cost: 1)     f1(Ar_0) -> Com_1(f1(Fresh_0)) [ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 ]
		(Comp: 1, Cost: 0)     koat_start(Ar_0) -> Com_1(f0(Ar_0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f0(Ar_0) -> Com_1(f1(Fresh_0'''''''''')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 /\ 1 >= Fresh_0'' /\ Fresh_0'' + 1 >= 0 /\ C'' >= 2 /\ 1 >= Fresh_0''' /\ Fresh_0''' + 1 >= 0 /\ C''' >= 2 /\ 1 >= Fresh_0'''' /\ Fresh_0'''' + 1 >= 0 /\ C'''' >= 2 /\ 1 >= Fresh_0''''' /\ Fresh_0''''' + 1 >= 0 /\ C''''' >= 2 /\ 1 >= Fresh_0'''''' /\ Fresh_0'''''' + 1 >= 0 /\ C'''''' >= 2 /\ 1 >= Fresh_0''''''' /\ Fresh_0''''''' + 1 >= 0 /\ C''''''' >= 2 /\ 1 >= Fresh_0'''''''' /\ Fresh_0'''''''' + 1 >= 0 /\ C'''''''' >= 2 /\ 1 >= Fresh_0''''''''' /\ Fresh_0''''''''' + 1 >= 0 /\ C''''''''' >= 2 /\ 1 >= Fresh_0'''''''''' /\ Fresh_0'''''''''' + 1 >= 0 /\ C'''''''''' >= 2 ] with all transitions in problem 13, the following new transition is obtained:
	f0(Ar_0) -> Com_1(f1(Fresh_0''''''''''')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 /\ 1 >= Fresh_0'' /\ Fresh_0'' + 1 >= 0 /\ C'' >= 2 /\ 1 >= Fresh_0''' /\ Fresh_0''' + 1 >= 0 /\ C''' >= 2 /\ 1 >= Fresh_0'''' /\ Fresh_0'''' + 1 >= 0 /\ C'''' >= 2 /\ 1 >= Fresh_0''''' /\ Fresh_0''''' + 1 >= 0 /\ C''''' >= 2 /\ 1 >= Fresh_0'''''' /\ Fresh_0'''''' + 1 >= 0 /\ C'''''' >= 2 /\ 1 >= Fresh_0''''''' /\ Fresh_0''''''' + 1 >= 0 /\ C''''''' >= 2 /\ 1 >= Fresh_0'''''''' /\ Fresh_0'''''''' + 1 >= 0 /\ C'''''''' >= 2 /\ 1 >= Fresh_0''''''''' /\ Fresh_0''''''''' + 1 >= 0 /\ C''''''''' >= 2 /\ 1 >= Fresh_0'''''''''' /\ Fresh_0'''''''''' + 1 >= 0 /\ C'''''''''' >= 2 /\ 1 >= Fresh_0''''''''''' /\ Fresh_0''''''''''' + 1 >= 0 /\ C''''''''''' >= 2 ]
We thus obtain the following problem:
14:	T:
		(Comp: 1, Cost: 13)    f0(Ar_0) -> Com_1(f1(Fresh_0''''''''''')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 /\ 1 >= Fresh_0'' /\ Fresh_0'' + 1 >= 0 /\ C'' >= 2 /\ 1 >= Fresh_0''' /\ Fresh_0''' + 1 >= 0 /\ C''' >= 2 /\ 1 >= Fresh_0'''' /\ Fresh_0'''' + 1 >= 0 /\ C'''' >= 2 /\ 1 >= Fresh_0''''' /\ Fresh_0''''' + 1 >= 0 /\ C''''' >= 2 /\ 1 >= Fresh_0'''''' /\ Fresh_0'''''' + 1 >= 0 /\ C'''''' >= 2 /\ 1 >= Fresh_0''''''' /\ Fresh_0''''''' + 1 >= 0 /\ C''''''' >= 2 /\ 1 >= Fresh_0'''''''' /\ Fresh_0'''''''' + 1 >= 0 /\ C'''''''' >= 2 /\ 1 >= Fresh_0''''''''' /\ Fresh_0''''''''' + 1 >= 0 /\ C''''''''' >= 2 /\ 1 >= Fresh_0'''''''''' /\ Fresh_0'''''''''' + 1 >= 0 /\ C'''''''''' >= 2 /\ 1 >= Fresh_0''''''''''' /\ Fresh_0''''''''''' + 1 >= 0 /\ C''''''''''' >= 2 ]
		(Comp: ?, Cost: 1)     f1(Ar_0) -> Com_1(f1(Fresh_0)) [ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 ]
		(Comp: 1, Cost: 0)     koat_start(Ar_0) -> Com_1(f0(Ar_0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f0(Ar_0) -> Com_1(f1(Fresh_0''''''''''')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 /\ 1 >= Fresh_0'' /\ Fresh_0'' + 1 >= 0 /\ C'' >= 2 /\ 1 >= Fresh_0''' /\ Fresh_0''' + 1 >= 0 /\ C''' >= 2 /\ 1 >= Fresh_0'''' /\ Fresh_0'''' + 1 >= 0 /\ C'''' >= 2 /\ 1 >= Fresh_0''''' /\ Fresh_0''''' + 1 >= 0 /\ C''''' >= 2 /\ 1 >= Fresh_0'''''' /\ Fresh_0'''''' + 1 >= 0 /\ C'''''' >= 2 /\ 1 >= Fresh_0''''''' /\ Fresh_0''''''' + 1 >= 0 /\ C''''''' >= 2 /\ 1 >= Fresh_0'''''''' /\ Fresh_0'''''''' + 1 >= 0 /\ C'''''''' >= 2 /\ 1 >= Fresh_0''''''''' /\ Fresh_0''''''''' + 1 >= 0 /\ C''''''''' >= 2 /\ 1 >= Fresh_0'''''''''' /\ Fresh_0'''''''''' + 1 >= 0 /\ C'''''''''' >= 2 /\ 1 >= Fresh_0''''''''''' /\ Fresh_0''''''''''' + 1 >= 0 /\ C''''''''''' >= 2 ] with all transitions in problem 14, the following new transition is obtained:
	f0(Ar_0) -> Com_1(f1(Fresh_0'''''''''''')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 /\ 1 >= Fresh_0'' /\ Fresh_0'' + 1 >= 0 /\ C'' >= 2 /\ 1 >= Fresh_0''' /\ Fresh_0''' + 1 >= 0 /\ C''' >= 2 /\ 1 >= Fresh_0'''' /\ Fresh_0'''' + 1 >= 0 /\ C'''' >= 2 /\ 1 >= Fresh_0''''' /\ Fresh_0''''' + 1 >= 0 /\ C''''' >= 2 /\ 1 >= Fresh_0'''''' /\ Fresh_0'''''' + 1 >= 0 /\ C'''''' >= 2 /\ 1 >= Fresh_0''''''' /\ Fresh_0''''''' + 1 >= 0 /\ C''''''' >= 2 /\ 1 >= Fresh_0'''''''' /\ Fresh_0'''''''' + 1 >= 0 /\ C'''''''' >= 2 /\ 1 >= Fresh_0''''''''' /\ Fresh_0''''''''' + 1 >= 0 /\ C''''''''' >= 2 /\ 1 >= Fresh_0'''''''''' /\ Fresh_0'''''''''' + 1 >= 0 /\ C'''''''''' >= 2 /\ 1 >= Fresh_0''''''''''' /\ Fresh_0''''''''''' + 1 >= 0 /\ C''''''''''' >= 2 /\ 1 >= Fresh_0'''''''''''' /\ Fresh_0'''''''''''' + 1 >= 0 /\ C'''''''''''' >= 2 ]
We thus obtain the following problem:
15:	T:
		(Comp: 1, Cost: 14)    f0(Ar_0) -> Com_1(f1(Fresh_0'''''''''''')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 /\ 1 >= Fresh_0'' /\ Fresh_0'' + 1 >= 0 /\ C'' >= 2 /\ 1 >= Fresh_0''' /\ Fresh_0''' + 1 >= 0 /\ C''' >= 2 /\ 1 >= Fresh_0'''' /\ Fresh_0'''' + 1 >= 0 /\ C'''' >= 2 /\ 1 >= Fresh_0''''' /\ Fresh_0''''' + 1 >= 0 /\ C''''' >= 2 /\ 1 >= Fresh_0'''''' /\ Fresh_0'''''' + 1 >= 0 /\ C'''''' >= 2 /\ 1 >= Fresh_0''''''' /\ Fresh_0''''''' + 1 >= 0 /\ C''''''' >= 2 /\ 1 >= Fresh_0'''''''' /\ Fresh_0'''''''' + 1 >= 0 /\ C'''''''' >= 2 /\ 1 >= Fresh_0''''''''' /\ Fresh_0''''''''' + 1 >= 0 /\ C''''''''' >= 2 /\ 1 >= Fresh_0'''''''''' /\ Fresh_0'''''''''' + 1 >= 0 /\ C'''''''''' >= 2 /\ 1 >= Fresh_0''''''''''' /\ Fresh_0''''''''''' + 1 >= 0 /\ C''''''''''' >= 2 /\ 1 >= Fresh_0'''''''''''' /\ Fresh_0'''''''''''' + 1 >= 0 /\ C'''''''''''' >= 2 ]
		(Comp: ?, Cost: 1)     f1(Ar_0) -> Com_1(f1(Fresh_0)) [ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 ]
		(Comp: 1, Cost: 0)     koat_start(Ar_0) -> Com_1(f0(Ar_0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f0(Ar_0) -> Com_1(f1(Fresh_0'''''''''''')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 /\ 1 >= Fresh_0'' /\ Fresh_0'' + 1 >= 0 /\ C'' >= 2 /\ 1 >= Fresh_0''' /\ Fresh_0''' + 1 >= 0 /\ C''' >= 2 /\ 1 >= Fresh_0'''' /\ Fresh_0'''' + 1 >= 0 /\ C'''' >= 2 /\ 1 >= Fresh_0''''' /\ Fresh_0''''' + 1 >= 0 /\ C''''' >= 2 /\ 1 >= Fresh_0'''''' /\ Fresh_0'''''' + 1 >= 0 /\ C'''''' >= 2 /\ 1 >= Fresh_0''''''' /\ Fresh_0''''''' + 1 >= 0 /\ C''''''' >= 2 /\ 1 >= Fresh_0'''''''' /\ Fresh_0'''''''' + 1 >= 0 /\ C'''''''' >= 2 /\ 1 >= Fresh_0''''''''' /\ Fresh_0''''''''' + 1 >= 0 /\ C''''''''' >= 2 /\ 1 >= Fresh_0'''''''''' /\ Fresh_0'''''''''' + 1 >= 0 /\ C'''''''''' >= 2 /\ 1 >= Fresh_0''''''''''' /\ Fresh_0''''''''''' + 1 >= 0 /\ C''''''''''' >= 2 /\ 1 >= Fresh_0'''''''''''' /\ Fresh_0'''''''''''' + 1 >= 0 /\ C'''''''''''' >= 2 ] with all transitions in problem 15, the following new transition is obtained:
	f0(Ar_0) -> Com_1(f1(Fresh_0''''''''''''')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 /\ 1 >= Fresh_0'' /\ Fresh_0'' + 1 >= 0 /\ C'' >= 2 /\ 1 >= Fresh_0''' /\ Fresh_0''' + 1 >= 0 /\ C''' >= 2 /\ 1 >= Fresh_0'''' /\ Fresh_0'''' + 1 >= 0 /\ C'''' >= 2 /\ 1 >= Fresh_0''''' /\ Fresh_0''''' + 1 >= 0 /\ C''''' >= 2 /\ 1 >= Fresh_0'''''' /\ Fresh_0'''''' + 1 >= 0 /\ C'''''' >= 2 /\ 1 >= Fresh_0''''''' /\ Fresh_0''''''' + 1 >= 0 /\ C''''''' >= 2 /\ 1 >= Fresh_0'''''''' /\ Fresh_0'''''''' + 1 >= 0 /\ C'''''''' >= 2 /\ 1 >= Fresh_0''''''''' /\ Fresh_0''''''''' + 1 >= 0 /\ C''''''''' >= 2 /\ 1 >= Fresh_0'''''''''' /\ Fresh_0'''''''''' + 1 >= 0 /\ C'''''''''' >= 2 /\ 1 >= Fresh_0''''''''''' /\ Fresh_0''''''''''' + 1 >= 0 /\ C''''''''''' >= 2 /\ 1 >= Fresh_0'''''''''''' /\ Fresh_0'''''''''''' + 1 >= 0 /\ C'''''''''''' >= 2 /\ 1 >= Fresh_0''''''''''''' /\ Fresh_0''''''''''''' + 1 >= 0 /\ C''''''''''''' >= 2 ]
We thus obtain the following problem:
16:	T:
		(Comp: 1, Cost: 15)    f0(Ar_0) -> Com_1(f1(Fresh_0''''''''''''')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 /\ 1 >= Fresh_0'' /\ Fresh_0'' + 1 >= 0 /\ C'' >= 2 /\ 1 >= Fresh_0''' /\ Fresh_0''' + 1 >= 0 /\ C''' >= 2 /\ 1 >= Fresh_0'''' /\ Fresh_0'''' + 1 >= 0 /\ C'''' >= 2 /\ 1 >= Fresh_0''''' /\ Fresh_0''''' + 1 >= 0 /\ C''''' >= 2 /\ 1 >= Fresh_0'''''' /\ Fresh_0'''''' + 1 >= 0 /\ C'''''' >= 2 /\ 1 >= Fresh_0''''''' /\ Fresh_0''''''' + 1 >= 0 /\ C''''''' >= 2 /\ 1 >= Fresh_0'''''''' /\ Fresh_0'''''''' + 1 >= 0 /\ C'''''''' >= 2 /\ 1 >= Fresh_0''''''''' /\ Fresh_0''''''''' + 1 >= 0 /\ C''''''''' >= 2 /\ 1 >= Fresh_0'''''''''' /\ Fresh_0'''''''''' + 1 >= 0 /\ C'''''''''' >= 2 /\ 1 >= Fresh_0''''''''''' /\ Fresh_0''''''''''' + 1 >= 0 /\ C''''''''''' >= 2 /\ 1 >= Fresh_0'''''''''''' /\ Fresh_0'''''''''''' + 1 >= 0 /\ C'''''''''''' >= 2 /\ 1 >= Fresh_0''''''''''''' /\ Fresh_0''''''''''''' + 1 >= 0 /\ C''''''''''''' >= 2 ]
		(Comp: ?, Cost: 1)     f1(Ar_0) -> Com_1(f1(Fresh_0)) [ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 ]
		(Comp: 1, Cost: 0)     koat_start(Ar_0) -> Com_1(f0(Ar_0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f0(Ar_0) -> Com_1(f1(Fresh_0''''''''''''')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 /\ 1 >= Fresh_0'' /\ Fresh_0'' + 1 >= 0 /\ C'' >= 2 /\ 1 >= Fresh_0''' /\ Fresh_0''' + 1 >= 0 /\ C''' >= 2 /\ 1 >= Fresh_0'''' /\ Fresh_0'''' + 1 >= 0 /\ C'''' >= 2 /\ 1 >= Fresh_0''''' /\ Fresh_0''''' + 1 >= 0 /\ C''''' >= 2 /\ 1 >= Fresh_0'''''' /\ Fresh_0'''''' + 1 >= 0 /\ C'''''' >= 2 /\ 1 >= Fresh_0''''''' /\ Fresh_0''''''' + 1 >= 0 /\ C''''''' >= 2 /\ 1 >= Fresh_0'''''''' /\ Fresh_0'''''''' + 1 >= 0 /\ C'''''''' >= 2 /\ 1 >= Fresh_0''''''''' /\ Fresh_0''''''''' + 1 >= 0 /\ C''''''''' >= 2 /\ 1 >= Fresh_0'''''''''' /\ Fresh_0'''''''''' + 1 >= 0 /\ C'''''''''' >= 2 /\ 1 >= Fresh_0''''''''''' /\ Fresh_0''''''''''' + 1 >= 0 /\ C''''''''''' >= 2 /\ 1 >= Fresh_0'''''''''''' /\ Fresh_0'''''''''''' + 1 >= 0 /\ C'''''''''''' >= 2 /\ 1 >= Fresh_0''''''''''''' /\ Fresh_0''''''''''''' + 1 >= 0 /\ C''''''''''''' >= 2 ] with all transitions in problem 16, the following new transition is obtained:
	f0(Ar_0) -> Com_1(f1(Fresh_0'''''''''''''')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 /\ 1 >= Fresh_0'' /\ Fresh_0'' + 1 >= 0 /\ C'' >= 2 /\ 1 >= Fresh_0''' /\ Fresh_0''' + 1 >= 0 /\ C''' >= 2 /\ 1 >= Fresh_0'''' /\ Fresh_0'''' + 1 >= 0 /\ C'''' >= 2 /\ 1 >= Fresh_0''''' /\ Fresh_0''''' + 1 >= 0 /\ C''''' >= 2 /\ 1 >= Fresh_0'''''' /\ Fresh_0'''''' + 1 >= 0 /\ C'''''' >= 2 /\ 1 >= Fresh_0''''''' /\ Fresh_0''''''' + 1 >= 0 /\ C''''''' >= 2 /\ 1 >= Fresh_0'''''''' /\ Fresh_0'''''''' + 1 >= 0 /\ C'''''''' >= 2 /\ 1 >= Fresh_0''''''''' /\ Fresh_0''''''''' + 1 >= 0 /\ C''''''''' >= 2 /\ 1 >= Fresh_0'''''''''' /\ Fresh_0'''''''''' + 1 >= 0 /\ C'''''''''' >= 2 /\ 1 >= Fresh_0''''''''''' /\ Fresh_0''''''''''' + 1 >= 0 /\ C''''''''''' >= 2 /\ 1 >= Fresh_0'''''''''''' /\ Fresh_0'''''''''''' + 1 >= 0 /\ C'''''''''''' >= 2 /\ 1 >= Fresh_0''''''''''''' /\ Fresh_0''''''''''''' + 1 >= 0 /\ C''''''''''''' >= 2 /\ 1 >= Fresh_0'''''''''''''' /\ Fresh_0'''''''''''''' + 1 >= 0 /\ C'''''''''''''' >= 2 ]
We thus obtain the following problem:
17:	T:
		(Comp: 1, Cost: 16)    f0(Ar_0) -> Com_1(f1(Fresh_0'''''''''''''')) [ Fresh_1 >= 2 /\ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 /\ 1 >= Fresh_0' /\ Fresh_0' + 1 >= 0 /\ C' >= 2 /\ 1 >= Fresh_0'' /\ Fresh_0'' + 1 >= 0 /\ C'' >= 2 /\ 1 >= Fresh_0''' /\ Fresh_0''' + 1 >= 0 /\ C''' >= 2 /\ 1 >= Fresh_0'''' /\ Fresh_0'''' + 1 >= 0 /\ C'''' >= 2 /\ 1 >= Fresh_0''''' /\ Fresh_0''''' + 1 >= 0 /\ C''''' >= 2 /\ 1 >= Fresh_0'''''' /\ Fresh_0'''''' + 1 >= 0 /\ C'''''' >= 2 /\ 1 >= Fresh_0''''''' /\ Fresh_0''''''' + 1 >= 0 /\ C''''''' >= 2 /\ 1 >= Fresh_0'''''''' /\ Fresh_0'''''''' + 1 >= 0 /\ C'''''''' >= 2 /\ 1 >= Fresh_0''''''''' /\ Fresh_0''''''''' + 1 >= 0 /\ C''''''''' >= 2 /\ 1 >= Fresh_0'''''''''' /\ Fresh_0'''''''''' + 1 >= 0 /\ C'''''''''' >= 2 /\ 1 >= Fresh_0''''''''''' /\ Fresh_0''''''''''' + 1 >= 0 /\ C''''''''''' >= 2 /\ 1 >= Fresh_0'''''''''''' /\ Fresh_0'''''''''''' + 1 >= 0 /\ C'''''''''''' >= 2 /\ 1 >= Fresh_0''''''''''''' /\ Fresh_0''''''''''''' + 1 >= 0 /\ C''''''''''''' >= 2 /\ 1 >= Fresh_0'''''''''''''' /\ Fresh_0'''''''''''''' + 1 >= 0 /\ C'''''''''''''' >= 2 ]
		(Comp: ?, Cost: 1)     f1(Ar_0) -> Com_1(f1(Fresh_0)) [ 1 >= Fresh_0 /\ Fresh_0 + 1 >= 0 /\ C >= 2 ]
		(Comp: 1, Cost: 0)     koat_start(Ar_0) -> Com_1(f0(Ar_0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound ?

Time: 0.183 sec (SMT: 0.146 sec)
