WORST_CASE(?, O(n^1))

Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2) -> Com_1(f5(Ar_0, Ar_1, 1)) [ 0 >= Ar_0 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, 1)) [ Ar_0 >= 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0, Ar_1 - 1, Ar_2)) [ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0, Ar_1, 0)) [ 0 >= Ar_0 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f0(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)    f4(Ar_0, Ar_1, Ar_2) -> Com_1(f5(Ar_0, Ar_1, 1)) [ 0 >= Ar_0 /\ 0 >= Ar_1 ]
		(Comp: 1, Cost: 1)    f0(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, 1)) [ Ar_0 >= 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0, Ar_1 - 1, Ar_2)) [ Ar_1 >= 1 ]
		(Comp: 1, Cost: 1)    f0(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0, Ar_1, 0)) [ 0 >= Ar_0 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f0(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(f4) = 1
	Pol(f5) = 0
	Pol(f0) = 1
	Pol(f2) = 1
	Pol(koat_start) = 1
orients all transitions weakly and the transition
	f4(Ar_0, Ar_1, Ar_2) -> Com_1(f5(Ar_0, Ar_1, 1)) [ 0 >= Ar_0 /\ 0 >= Ar_1 ]
strictly and produces the following problem:
3:	T:
		(Comp: 1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2) -> Com_1(f5(Ar_0, Ar_1, 1)) [ 0 >= Ar_0 /\ 0 >= Ar_1 ]
		(Comp: 1, Cost: 1)    f0(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, 1)) [ Ar_0 >= 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0, Ar_1 - 1, Ar_2)) [ Ar_1 >= 1 ]
		(Comp: 1, Cost: 1)    f0(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0, Ar_1, 0)) [ 0 >= Ar_0 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f0(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(f4) = V_2
	Pol(f5) = V_2
	Pol(f0) = V_2
	Pol(f2) = V_2
	Pol(koat_start) = V_2
orients all transitions weakly and the transition
	f4(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0, Ar_1 - 1, Ar_2)) [ Ar_1 >= 1 ]
strictly and produces the following problem:
4:	T:
		(Comp: 1, Cost: 1)       f4(Ar_0, Ar_1, Ar_2) -> Com_1(f5(Ar_0, Ar_1, 1)) [ 0 >= Ar_0 /\ 0 >= Ar_1 ]
		(Comp: 1, Cost: 1)       f0(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, 1)) [ Ar_0 >= 1 ]
		(Comp: Ar_1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0, Ar_1 - 1, Ar_2)) [ Ar_1 >= 1 ]
		(Comp: 1, Cost: 1)       f0(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0, Ar_1, 0)) [ 0 >= Ar_0 ]
		(Comp: 1, Cost: 0)       koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f0(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound Ar_1 + 3

Time: 0.499 sec (SMT: 0.485 sec)