
Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f2(Ar_0 - 1, Ar_1 - 1, Ar_0, Ar_1, Ar_0 - 2, Ar_5)) [ Ar_0 >= 1 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4, Fresh_2)) [ 0 >= Ar_1 /\ 0 >= Fresh_1 ]
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Fresh_0)) [ Ar_1 >= 1 /\ 0 >= Ar_0 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 1 produces the following problem:
2:	T:
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f2(Ar_0 - 1, Ar_1 - 1, Ar_0, Ar_1, Ar_0 - 2, Ar_5)) [ Ar_0 >= 1 /\ Ar_1 >= 1 ]
		(Comp: 1, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4, Fresh_2)) [ 0 >= Ar_1 /\ 0 >= Fresh_1 ]
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Fresh_0)) [ Ar_1 >= 1 /\ 0 >= Ar_0 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(f2) = 1
	Pol(f3) = 1
	Pol(f4) = 0
	Pol(koat_start) = 1
orients all transitions weakly and the transitions
	f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4, Fresh_2)) [ 0 >= Ar_1 /\ 0 >= Fresh_1 ]
	f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Fresh_0)) [ Ar_1 >= 1 /\ 0 >= Ar_0 ]
strictly and produces the following problem:
3:	T:
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f2(Ar_0 - 1, Ar_1 - 1, Ar_0, Ar_1, Ar_0 - 2, Ar_5)) [ Ar_0 >= 1 /\ Ar_1 >= 1 ]
		(Comp: 1, Cost: 1)    f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4, Fresh_2)) [ 0 >= Ar_1 /\ 0 >= Fresh_1 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Fresh_0)) [ Ar_1 >= 1 /\ 0 >= Ar_0 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(f2) = V_1
	Pol(f3) = V_1
	Pol(f4) = V_1
	Pol(koat_start) = V_1
orients all transitions weakly and the transition
	f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f2(Ar_0 - 1, Ar_1 - 1, Ar_0, Ar_1, Ar_0 - 2, Ar_5)) [ Ar_0 >= 1 /\ Ar_1 >= 1 ]
strictly and produces the following problem:
4:	T:
		(Comp: Ar_0, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f2(Ar_0 - 1, Ar_1 - 1, Ar_0, Ar_1, Ar_0 - 2, Ar_5)) [ Ar_0 >= 1 /\ Ar_1 >= 1 ]
		(Comp: 1, Cost: 1)       f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))
		(Comp: 1, Cost: 1)       f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4, Fresh_2)) [ 0 >= Ar_1 /\ 0 >= Fresh_1 ]
		(Comp: 1, Cost: 1)       f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Fresh_0)) [ Ar_1 >= 1 /\ 0 >= Ar_0 ]
		(Comp: 1, Cost: 0)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound Ar_0 + 3

Time: 0.043 sec (SMT: 0.037 sec)
