MAYBE

Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1) -> Com_1(f3(0, Ar_1))
		(Comp: ?, Cost: 1)    f3(Ar_0, Ar_1) -> Com_1(f3(Fresh_0 + 1, Ar_1)) [ Ar_0 = 5 ]
		(Comp: ?, Cost: 1)    f3(Ar_0, Ar_1) -> Com_1(f3(Ar_0 + 1, Ar_0)) [ 9 >= Ar_0 /\ 4 >= Ar_0 ]
		(Comp: ?, Cost: 1)    f3(Ar_0, Ar_1) -> Com_1(f3(Ar_0 + 1, Ar_0)) [ 9 >= Ar_0 /\ Ar_0 >= 6 ]
		(Comp: ?, Cost: 1)    f3(Ar_0, Ar_1) -> Com_1(f12(Ar_0, Ar_1)) [ Ar_0 >= 10 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1) -> Com_1(f0(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)    f0(Ar_0, Ar_1) -> Com_1(f3(0, Ar_1))
		(Comp: ?, Cost: 1)    f3(Ar_0, Ar_1) -> Com_1(f3(Fresh_0 + 1, Ar_1)) [ Ar_0 = 5 ]
		(Comp: ?, Cost: 1)    f3(Ar_0, Ar_1) -> Com_1(f3(Ar_0 + 1, Ar_0)) [ 9 >= Ar_0 /\ 4 >= Ar_0 ]
		(Comp: ?, Cost: 1)    f3(Ar_0, Ar_1) -> Com_1(f3(Ar_0 + 1, Ar_0)) [ 9 >= Ar_0 /\ Ar_0 >= 6 ]
		(Comp: ?, Cost: 1)    f3(Ar_0, Ar_1) -> Com_1(f12(Ar_0, Ar_1)) [ Ar_0 >= 10 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1) -> Com_1(f0(Ar_0, Ar_1)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(f0) = 15
	Pol(f3) = 15
	Pol(f12) = 14
	Pol(koat_start) = 15
orients all transitions weakly and the transition
	f3(Ar_0, Ar_1) -> Com_1(f12(Ar_0, Ar_1)) [ Ar_0 >= 10 ]
strictly and produces the following problem:
3:	T:
		(Comp: 1, Cost: 1)     f0(Ar_0, Ar_1) -> Com_1(f3(0, Ar_1))
		(Comp: ?, Cost: 1)     f3(Ar_0, Ar_1) -> Com_1(f3(Fresh_0 + 1, Ar_1)) [ Ar_0 = 5 ]
		(Comp: ?, Cost: 1)     f3(Ar_0, Ar_1) -> Com_1(f3(Ar_0 + 1, Ar_0)) [ 9 >= Ar_0 /\ 4 >= Ar_0 ]
		(Comp: ?, Cost: 1)     f3(Ar_0, Ar_1) -> Com_1(f3(Ar_0 + 1, Ar_0)) [ 9 >= Ar_0 /\ Ar_0 >= 6 ]
		(Comp: 15, Cost: 1)    f3(Ar_0, Ar_1) -> Com_1(f12(Ar_0, Ar_1)) [ Ar_0 >= 10 ]
		(Comp: 1, Cost: 0)     koat_start(Ar_0, Ar_1) -> Com_1(f0(Ar_0, Ar_1)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound ?

Time: 1.067 sec (SMT: 1.031 sec)