
Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f1(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ 1 >= Ar_0 ]
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f300(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 2 /\ Ar_2 >= 2 ]
		(Comp: ?, Cost: 1)    f300(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f1(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ Ar_3 + 1 >= 0 ]
		(Comp: ?, Cost: 1)    f300(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f300(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4 + 1)) [ Ar_4 >= 0 /\ 0 >= Ar_3 + 2 ]
		(Comp: ?, Cost: 1)    f300(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f300(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4 + 1)) [ 0 >= Ar_4 + 2 /\ 0 >= Ar_3 + 2 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 1 produces the following problem:
2:	T:
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f1(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ 1 >= Ar_0 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f300(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 2 /\ Ar_2 >= 2 ]
		(Comp: ?, Cost: 1)    f300(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f1(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ Ar_3 + 1 >= 0 ]
		(Comp: ?, Cost: 1)    f300(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f300(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4 + 1)) [ Ar_4 >= 0 /\ 0 >= Ar_3 + 2 ]
		(Comp: ?, Cost: 1)    f300(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f300(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4 + 1)) [ 0 >= Ar_4 + 2 /\ 0 >= Ar_3 + 2 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(f2) = 1
	Pol(f1) = 0
	Pol(f300) = 1
	Pol(koat_start) = 1
orients all transitions weakly and the transition
	f300(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f1(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ Ar_3 + 1 >= 0 ]
strictly and produces the following problem:
3:	T:
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f1(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ 1 >= Ar_0 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f300(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 2 /\ Ar_2 >= 2 ]
		(Comp: 1, Cost: 1)    f300(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f1(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ Ar_3 + 1 >= 0 ]
		(Comp: ?, Cost: 1)    f300(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f300(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4 + 1)) [ Ar_4 >= 0 /\ 0 >= Ar_3 + 2 ]
		(Comp: ?, Cost: 1)    f300(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f300(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4 + 1)) [ 0 >= Ar_4 + 2 /\ 0 >= Ar_3 + 2 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(f2) = -V_4
	Pol(f1) = -V_4
	Pol(f300) = -V_4
	Pol(koat_start) = -V_4
orients all transitions weakly and the transitions
	f300(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f300(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4 + 1)) [ Ar_4 >= 0 /\ 0 >= Ar_3 + 2 ]
	f300(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f300(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4 + 1)) [ 0 >= Ar_4 + 2 /\ 0 >= Ar_3 + 2 ]
strictly and produces the following problem:
4:	T:
		(Comp: 1, Cost: 1)       f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f1(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ 1 >= Ar_0 ]
		(Comp: 1, Cost: 1)       f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f300(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 2 /\ Ar_2 >= 2 ]
		(Comp: 1, Cost: 1)       f300(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f1(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ Ar_3 + 1 >= 0 ]
		(Comp: Ar_3, Cost: 1)    f300(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f300(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4 + 1)) [ Ar_4 >= 0 /\ 0 >= Ar_3 + 2 ]
		(Comp: Ar_3, Cost: 1)    f300(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f300(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4 + 1)) [ 0 >= Ar_4 + 2 /\ 0 >= Ar_3 + 2 ]
		(Comp: 1, Cost: 0)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound 2*Ar_3 + 3

Time: 0.044 sec (SMT: 0.037 sec)
