WORST_CASE(?, O(1))

Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1, Ar_2) -> Com_1(f10(1, Ar_1, Ar_2))
		(Comp: ?, Cost: 1)    f10(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]
		(Comp: ?, Cost: 1)    f13(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2)) [ 5 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f21(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]
		(Comp: ?, Cost: 1)    f24(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, 1)) [ 5 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f27(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, Ar_2 + 1)) [ 5 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f27(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, Ar_1 + 1, Ar_2)) [ Ar_2 >= 6 ]
		(Comp: ?, Cost: 1)    f24(Ar_0, Ar_1, Ar_2) -> Com_1(f21(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]
		(Comp: ?, Cost: 1)    f21(Ar_0, Ar_1, Ar_2) -> Com_1(f39(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= 6 ]
		(Comp: ?, Cost: 1)    f13(Ar_0, Ar_1, Ar_2) -> Com_1(f10(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]
		(Comp: ?, Cost: 1)    f10(Ar_0, Ar_1, Ar_2) -> Com_1(f21(1, Ar_1, Ar_2)) [ Ar_0 >= 6 ]
		(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: 1, Cost: 1)    f0(Ar_0, Ar_1, Ar_2) -> Com_1(f10(1, Ar_1, Ar_2))
		(Comp: ?, Cost: 1)    f10(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]
		(Comp: ?, Cost: 1)    f13(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2)) [ 5 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f21(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]
		(Comp: ?, Cost: 1)    f24(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, 1)) [ 5 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f27(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, Ar_2 + 1)) [ 5 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f27(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, Ar_1 + 1, Ar_2)) [ Ar_2 >= 6 ]
		(Comp: ?, Cost: 1)    f24(Ar_0, Ar_1, Ar_2) -> Com_1(f21(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]
		(Comp: ?, Cost: 1)    f21(Ar_0, Ar_1, Ar_2) -> Com_1(f39(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= 6 ]
		(Comp: ?, Cost: 1)    f13(Ar_0, Ar_1, Ar_2) -> Com_1(f10(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]
		(Comp: ?, Cost: 1)    f10(Ar_0, Ar_1, Ar_2) -> Com_1(f21(1, Ar_1, Ar_2)) [ Ar_0 >= 6 ]
		(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(f0) = 1
	Pol(f10) = 1
	Pol(f13) = 1
	Pol(f21) = 0
	Pol(f24) = 0
	Pol(f27) = 0
	Pol(f39) = -1
	Pol(koat_start) = 1
orients all transitions weakly and the transition
	f10(Ar_0, Ar_1, Ar_2) -> Com_1(f21(1, Ar_1, Ar_2)) [ Ar_0 >= 6 ]
strictly and produces the following problem:
3:	T:
		(Comp: 1, Cost: 1)    f0(Ar_0, Ar_1, Ar_2) -> Com_1(f10(1, Ar_1, Ar_2))
		(Comp: ?, Cost: 1)    f10(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]
		(Comp: ?, Cost: 1)    f13(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2)) [ 5 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f21(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]
		(Comp: ?, Cost: 1)    f24(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, 1)) [ 5 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f27(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, Ar_2 + 1)) [ 5 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f27(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, Ar_1 + 1, Ar_2)) [ Ar_2 >= 6 ]
		(Comp: ?, Cost: 1)    f24(Ar_0, Ar_1, Ar_2) -> Com_1(f21(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]
		(Comp: ?, Cost: 1)    f21(Ar_0, Ar_1, Ar_2) -> Com_1(f39(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= 6 ]
		(Comp: ?, Cost: 1)    f13(Ar_0, Ar_1, Ar_2) -> Com_1(f10(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]
		(Comp: 1, Cost: 1)    f10(Ar_0, Ar_1, Ar_2) -> Com_1(f21(1, Ar_1, Ar_2)) [ Ar_0 >= 6 ]
		(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(f0) = 1
	Pol(f10) = 1
	Pol(f13) = 1
	Pol(f21) = 1
	Pol(f24) = 1
	Pol(f27) = 1
	Pol(f39) = 0
	Pol(koat_start) = 1
orients all transitions weakly and the transition
	f21(Ar_0, Ar_1, Ar_2) -> Com_1(f39(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= 6 ]
strictly and produces the following problem:
4:	T:
		(Comp: 1, Cost: 1)    f0(Ar_0, Ar_1, Ar_2) -> Com_1(f10(1, Ar_1, Ar_2))
		(Comp: ?, Cost: 1)    f10(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]
		(Comp: ?, Cost: 1)    f13(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2)) [ 5 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f21(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]
		(Comp: ?, Cost: 1)    f24(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, 1)) [ 5 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f27(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, Ar_2 + 1)) [ 5 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f27(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, Ar_1 + 1, Ar_2)) [ Ar_2 >= 6 ]
		(Comp: ?, Cost: 1)    f24(Ar_0, Ar_1, Ar_2) -> Com_1(f21(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]
		(Comp: 1, Cost: 1)    f21(Ar_0, Ar_1, Ar_2) -> Com_1(f39(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= 6 ]
		(Comp: ?, Cost: 1)    f13(Ar_0, Ar_1, Ar_2) -> Com_1(f10(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]
		(Comp: 1, Cost: 1)    f10(Ar_0, Ar_1, Ar_2) -> Com_1(f21(1, Ar_1, Ar_2)) [ Ar_0 >= 6 ]
		(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(f0) = 5
	Pol(f10) = 5
	Pol(f13) = 5
	Pol(f21) = -V_1 + 6
	Pol(f24) = -V_1 + 5
	Pol(f27) = -V_1 + 5
	Pol(f39) = -V_1 + 6
	Pol(koat_start) = 5
orients all transitions weakly and the transition
	f21(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]
strictly and produces the following problem:
5:	T:
		(Comp: 1, Cost: 1)    f0(Ar_0, Ar_1, Ar_2) -> Com_1(f10(1, Ar_1, Ar_2))
		(Comp: ?, Cost: 1)    f10(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]
		(Comp: ?, Cost: 1)    f13(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2)) [ 5 >= Ar_1 ]
		(Comp: 5, Cost: 1)    f21(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]
		(Comp: ?, Cost: 1)    f24(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, 1)) [ 5 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f27(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, Ar_2 + 1)) [ 5 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f27(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, Ar_1 + 1, Ar_2)) [ Ar_2 >= 6 ]
		(Comp: ?, Cost: 1)    f24(Ar_0, Ar_1, Ar_2) -> Com_1(f21(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]
		(Comp: 1, Cost: 1)    f21(Ar_0, Ar_1, Ar_2) -> Com_1(f39(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= 6 ]
		(Comp: ?, Cost: 1)    f13(Ar_0, Ar_1, Ar_2) -> Com_1(f10(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]
		(Comp: 1, Cost: 1)    f10(Ar_0, Ar_1, Ar_2) -> Com_1(f21(1, Ar_1, Ar_2)) [ Ar_0 >= 6 ]
		(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(f27) = 1
	Pol(f24) = 1
	Pol(f21) = 0
	Pol(f13) = 0
	Pol(f10) = 0
and size complexities
	S("koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f0(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]", 0-0) = Ar_0
	S("koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f0(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]", 0-1) = Ar_1
	S("koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f0(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]", 0-2) = Ar_2
	S("f10(Ar_0, Ar_1, Ar_2) -> Com_1(f21(1, Ar_1, Ar_2)) [ Ar_0 >= 6 ]", 0-0) = 1
	S("f10(Ar_0, Ar_1, Ar_2) -> Com_1(f21(1, Ar_1, Ar_2)) [ Ar_0 >= 6 ]", 0-1) = 6
	S("f10(Ar_0, Ar_1, Ar_2) -> Com_1(f21(1, Ar_1, Ar_2)) [ Ar_0 >= 6 ]", 0-2) = Ar_2
	S("f13(Ar_0, Ar_1, Ar_2) -> Com_1(f10(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]", 0-0) = ?
	S("f13(Ar_0, Ar_1, Ar_2) -> Com_1(f10(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]", 0-1) = 6
	S("f13(Ar_0, Ar_1, Ar_2) -> Com_1(f10(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]", 0-2) = Ar_2
	S("f21(Ar_0, Ar_1, Ar_2) -> Com_1(f39(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= 6 ]", 0-0) = ?
	S("f21(Ar_0, Ar_1, Ar_2) -> Com_1(f39(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= 6 ]", 0-1) = ?
	S("f21(Ar_0, Ar_1, Ar_2) -> Com_1(f39(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= 6 ]", 0-2) = 6
	S("f24(Ar_0, Ar_1, Ar_2) -> Com_1(f21(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]", 0-0) = ?
	S("f24(Ar_0, Ar_1, Ar_2) -> Com_1(f21(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]", 0-1) = ?
	S("f24(Ar_0, Ar_1, Ar_2) -> Com_1(f21(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]", 0-2) = 6
	S("f27(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, Ar_1 + 1, Ar_2)) [ Ar_2 >= 6 ]", 0-0) = ?
	S("f27(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, Ar_1 + 1, Ar_2)) [ Ar_2 >= 6 ]", 0-1) = ?
	S("f27(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, Ar_1 + 1, Ar_2)) [ Ar_2 >= 6 ]", 0-2) = 6
	S("f27(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, Ar_2 + 1)) [ 5 >= Ar_2 ]", 0-0) = ?
	S("f27(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, Ar_2 + 1)) [ 5 >= Ar_2 ]", 0-1) = ?
	S("f27(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, Ar_2 + 1)) [ 5 >= Ar_2 ]", 0-2) = 6
	S("f24(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, 1)) [ 5 >= Ar_1 ]", 0-0) = ?
	S("f24(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, 1)) [ 5 >= Ar_1 ]", 0-1) = ?
	S("f24(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, 1)) [ 5 >= Ar_1 ]", 0-2) = 1
	S("f21(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]", 0-0) = ?
	S("f21(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]", 0-1) = 1
	S("f21(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]", 0-2) = Ar_2 + 6
	S("f13(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2)) [ 5 >= Ar_1 ]", 0-0) = ?
	S("f13(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2)) [ 5 >= Ar_1 ]", 0-1) = 6
	S("f13(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2)) [ 5 >= Ar_1 ]", 0-2) = Ar_2
	S("f10(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]", 0-0) = ?
	S("f10(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]", 0-1) = 1
	S("f10(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]", 0-2) = Ar_2
	S("f0(Ar_0, Ar_1, Ar_2) -> Com_1(f10(1, Ar_1, Ar_2))", 0-0) = 1
	S("f0(Ar_0, Ar_1, Ar_2) -> Com_1(f10(1, Ar_1, Ar_2))", 0-1) = Ar_1
	S("f0(Ar_0, Ar_1, Ar_2) -> Com_1(f10(1, Ar_1, Ar_2))", 0-2) = Ar_2
orients the transitions
	f27(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, Ar_2 + 1)) [ 5 >= Ar_2 ]
	f27(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, Ar_1 + 1, Ar_2)) [ Ar_2 >= 6 ]
	f24(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, 1)) [ 5 >= Ar_1 ]
	f24(Ar_0, Ar_1, Ar_2) -> Com_1(f21(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]
	f13(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2)) [ 5 >= Ar_1 ]
	f13(Ar_0, Ar_1, Ar_2) -> Com_1(f10(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]
	f10(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]
weakly and the transition
	f24(Ar_0, Ar_1, Ar_2) -> Com_1(f21(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]
strictly and produces the following problem:
6:	T:
		(Comp: 1, Cost: 1)    f0(Ar_0, Ar_1, Ar_2) -> Com_1(f10(1, Ar_1, Ar_2))
		(Comp: ?, Cost: 1)    f10(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]
		(Comp: ?, Cost: 1)    f13(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2)) [ 5 >= Ar_1 ]
		(Comp: 5, Cost: 1)    f21(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]
		(Comp: ?, Cost: 1)    f24(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, 1)) [ 5 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f27(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, Ar_2 + 1)) [ 5 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f27(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, Ar_1 + 1, Ar_2)) [ Ar_2 >= 6 ]
		(Comp: 5, Cost: 1)    f24(Ar_0, Ar_1, Ar_2) -> Com_1(f21(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]
		(Comp: 1, Cost: 1)    f21(Ar_0, Ar_1, Ar_2) -> Com_1(f39(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= 6 ]
		(Comp: ?, Cost: 1)    f13(Ar_0, Ar_1, Ar_2) -> Com_1(f10(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]
		(Comp: 1, Cost: 1)    f10(Ar_0, Ar_1, Ar_2) -> Com_1(f21(1, Ar_1, Ar_2)) [ Ar_0 >= 6 ]
		(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(f27) = -21*V_2 + 120
	Pol(f24) = -21*V_2 + 135
	Pol(f13) = -6*V_1 + 30
	Pol(f10) = -6*V_1 + 35
and size complexities
	S("koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f0(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]", 0-0) = Ar_0
	S("koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f0(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]", 0-1) = Ar_1
	S("koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f0(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]", 0-2) = Ar_2
	S("f10(Ar_0, Ar_1, Ar_2) -> Com_1(f21(1, Ar_1, Ar_2)) [ Ar_0 >= 6 ]", 0-0) = 1
	S("f10(Ar_0, Ar_1, Ar_2) -> Com_1(f21(1, Ar_1, Ar_2)) [ Ar_0 >= 6 ]", 0-1) = 6
	S("f10(Ar_0, Ar_1, Ar_2) -> Com_1(f21(1, Ar_1, Ar_2)) [ Ar_0 >= 6 ]", 0-2) = Ar_2
	S("f13(Ar_0, Ar_1, Ar_2) -> Com_1(f10(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]", 0-0) = ?
	S("f13(Ar_0, Ar_1, Ar_2) -> Com_1(f10(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]", 0-1) = 6
	S("f13(Ar_0, Ar_1, Ar_2) -> Com_1(f10(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]", 0-2) = Ar_2
	S("f21(Ar_0, Ar_1, Ar_2) -> Com_1(f39(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= 6 ]", 0-0) = 6
	S("f21(Ar_0, Ar_1, Ar_2) -> Com_1(f39(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= 6 ]", 0-1) = ?
	S("f21(Ar_0, Ar_1, Ar_2) -> Com_1(f39(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= 6 ]", 0-2) = 6
	S("f24(Ar_0, Ar_1, Ar_2) -> Com_1(f21(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]", 0-0) = 6
	S("f24(Ar_0, Ar_1, Ar_2) -> Com_1(f21(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]", 0-1) = ?
	S("f24(Ar_0, Ar_1, Ar_2) -> Com_1(f21(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]", 0-2) = 6
	S("f27(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, Ar_1 + 1, Ar_2)) [ Ar_2 >= 6 ]", 0-0) = 6
	S("f27(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, Ar_1 + 1, Ar_2)) [ Ar_2 >= 6 ]", 0-1) = ?
	S("f27(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, Ar_1 + 1, Ar_2)) [ Ar_2 >= 6 ]", 0-2) = 6
	S("f27(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, Ar_2 + 1)) [ 5 >= Ar_2 ]", 0-0) = 6
	S("f27(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, Ar_2 + 1)) [ 5 >= Ar_2 ]", 0-1) = ?
	S("f27(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, Ar_2 + 1)) [ 5 >= Ar_2 ]", 0-2) = 6
	S("f24(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, 1)) [ 5 >= Ar_1 ]", 0-0) = 6
	S("f24(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, 1)) [ 5 >= Ar_1 ]", 0-1) = ?
	S("f24(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, 1)) [ 5 >= Ar_1 ]", 0-2) = 1
	S("f21(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]", 0-0) = 6
	S("f21(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]", 0-1) = 1
	S("f21(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]", 0-2) = Ar_2 + 6
	S("f13(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2)) [ 5 >= Ar_1 ]", 0-0) = ?
	S("f13(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2)) [ 5 >= Ar_1 ]", 0-1) = 6
	S("f13(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2)) [ 5 >= Ar_1 ]", 0-2) = Ar_2
	S("f10(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]", 0-0) = ?
	S("f10(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]", 0-1) = 1
	S("f10(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]", 0-2) = Ar_2
	S("f0(Ar_0, Ar_1, Ar_2) -> Com_1(f10(1, Ar_1, Ar_2))", 0-0) = 1
	S("f0(Ar_0, Ar_1, Ar_2) -> Com_1(f10(1, Ar_1, Ar_2))", 0-1) = Ar_1
	S("f0(Ar_0, Ar_1, Ar_2) -> Com_1(f10(1, Ar_1, Ar_2))", 0-2) = Ar_2
orients the transitions
	f27(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, Ar_2 + 1)) [ 5 >= Ar_2 ]
	f27(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, Ar_1 + 1, Ar_2)) [ Ar_2 >= 6 ]
	f24(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, 1)) [ 5 >= Ar_1 ]
	f13(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2)) [ 5 >= Ar_1 ]
	f13(Ar_0, Ar_1, Ar_2) -> Com_1(f10(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]
	f10(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]
weakly and the transitions
	f24(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, 1)) [ 5 >= Ar_1 ]
	f10(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]
strictly and produces the following problem:
7:	T:
		(Comp: 1, Cost: 1)      f0(Ar_0, Ar_1, Ar_2) -> Com_1(f10(1, Ar_1, Ar_2))
		(Comp: 821, Cost: 1)    f10(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]
		(Comp: ?, Cost: 1)      f13(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2)) [ 5 >= Ar_1 ]
		(Comp: 5, Cost: 1)      f21(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]
		(Comp: 821, Cost: 1)    f24(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, 1)) [ 5 >= Ar_1 ]
		(Comp: ?, Cost: 1)      f27(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, Ar_2 + 1)) [ 5 >= Ar_2 ]
		(Comp: ?, Cost: 1)      f27(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, Ar_1 + 1, Ar_2)) [ Ar_2 >= 6 ]
		(Comp: 5, Cost: 1)      f24(Ar_0, Ar_1, Ar_2) -> Com_1(f21(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]
		(Comp: 1, Cost: 1)      f21(Ar_0, Ar_1, Ar_2) -> Com_1(f39(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= 6 ]
		(Comp: ?, Cost: 1)      f13(Ar_0, Ar_1, Ar_2) -> Com_1(f10(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]
		(Comp: 1, Cost: 1)      f10(Ar_0, Ar_1, Ar_2) -> Com_1(f21(1, Ar_1, Ar_2)) [ Ar_0 >= 6 ]
		(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(f27) = 1
	Pol(f24) = 0
	Pol(f13) = 1
	Pol(f10) = 0
and size complexities
	S("koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f0(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]", 0-0) = Ar_0
	S("koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f0(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]", 0-1) = Ar_1
	S("koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f0(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]", 0-2) = Ar_2
	S("f10(Ar_0, Ar_1, Ar_2) -> Com_1(f21(1, Ar_1, Ar_2)) [ Ar_0 >= 6 ]", 0-0) = 1
	S("f10(Ar_0, Ar_1, Ar_2) -> Com_1(f21(1, Ar_1, Ar_2)) [ Ar_0 >= 6 ]", 0-1) = 6
	S("f10(Ar_0, Ar_1, Ar_2) -> Com_1(f21(1, Ar_1, Ar_2)) [ Ar_0 >= 6 ]", 0-2) = Ar_2
	S("f13(Ar_0, Ar_1, Ar_2) -> Com_1(f10(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]", 0-0) = ?
	S("f13(Ar_0, Ar_1, Ar_2) -> Com_1(f10(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]", 0-1) = 6
	S("f13(Ar_0, Ar_1, Ar_2) -> Com_1(f10(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]", 0-2) = Ar_2
	S("f21(Ar_0, Ar_1, Ar_2) -> Com_1(f39(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= 6 ]", 0-0) = 6
	S("f21(Ar_0, Ar_1, Ar_2) -> Com_1(f39(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= 6 ]", 0-1) = ?
	S("f21(Ar_0, Ar_1, Ar_2) -> Com_1(f39(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= 6 ]", 0-2) = 6
	S("f24(Ar_0, Ar_1, Ar_2) -> Com_1(f21(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]", 0-0) = 6
	S("f24(Ar_0, Ar_1, Ar_2) -> Com_1(f21(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]", 0-1) = ?
	S("f24(Ar_0, Ar_1, Ar_2) -> Com_1(f21(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]", 0-2) = 6
	S("f27(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, Ar_1 + 1, Ar_2)) [ Ar_2 >= 6 ]", 0-0) = 6
	S("f27(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, Ar_1 + 1, Ar_2)) [ Ar_2 >= 6 ]", 0-1) = ?
	S("f27(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, Ar_1 + 1, Ar_2)) [ Ar_2 >= 6 ]", 0-2) = 6
	S("f27(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, Ar_2 + 1)) [ 5 >= Ar_2 ]", 0-0) = 6
	S("f27(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, Ar_2 + 1)) [ 5 >= Ar_2 ]", 0-1) = ?
	S("f27(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, Ar_2 + 1)) [ 5 >= Ar_2 ]", 0-2) = 6
	S("f24(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, 1)) [ 5 >= Ar_1 ]", 0-0) = 6
	S("f24(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, 1)) [ 5 >= Ar_1 ]", 0-1) = ?
	S("f24(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, 1)) [ 5 >= Ar_1 ]", 0-2) = 1
	S("f21(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]", 0-0) = 6
	S("f21(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]", 0-1) = 1
	S("f21(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]", 0-2) = Ar_2 + 6
	S("f13(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2)) [ 5 >= Ar_1 ]", 0-0) = ?
	S("f13(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2)) [ 5 >= Ar_1 ]", 0-1) = 6
	S("f13(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2)) [ 5 >= Ar_1 ]", 0-2) = Ar_2
	S("f10(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]", 0-0) = ?
	S("f10(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]", 0-1) = 1
	S("f10(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]", 0-2) = Ar_2
	S("f0(Ar_0, Ar_1, Ar_2) -> Com_1(f10(1, Ar_1, Ar_2))", 0-0) = 1
	S("f0(Ar_0, Ar_1, Ar_2) -> Com_1(f10(1, Ar_1, Ar_2))", 0-1) = Ar_1
	S("f0(Ar_0, Ar_1, Ar_2) -> Com_1(f10(1, Ar_1, Ar_2))", 0-2) = Ar_2
orients the transitions
	f27(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, Ar_2 + 1)) [ 5 >= Ar_2 ]
	f27(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, Ar_1 + 1, Ar_2)) [ Ar_2 >= 6 ]
	f13(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2)) [ 5 >= Ar_1 ]
	f13(Ar_0, Ar_1, Ar_2) -> Com_1(f10(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]
weakly and the transitions
	f27(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, Ar_1 + 1, Ar_2)) [ Ar_2 >= 6 ]
	f13(Ar_0, Ar_1, Ar_2) -> Com_1(f10(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]
strictly and produces the following problem:
8:	T:
		(Comp: 1, Cost: 1)       f0(Ar_0, Ar_1, Ar_2) -> Com_1(f10(1, Ar_1, Ar_2))
		(Comp: 821, Cost: 1)     f10(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]
		(Comp: ?, Cost: 1)       f13(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2)) [ 5 >= Ar_1 ]
		(Comp: 5, Cost: 1)       f21(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]
		(Comp: 821, Cost: 1)     f24(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, 1)) [ 5 >= Ar_1 ]
		(Comp: ?, Cost: 1)       f27(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, Ar_2 + 1)) [ 5 >= Ar_2 ]
		(Comp: 1642, Cost: 1)    f27(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, Ar_1 + 1, Ar_2)) [ Ar_2 >= 6 ]
		(Comp: 5, Cost: 1)       f24(Ar_0, Ar_1, Ar_2) -> Com_1(f21(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]
		(Comp: 1, Cost: 1)       f21(Ar_0, Ar_1, Ar_2) -> Com_1(f39(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= 6 ]
		(Comp: 1642, Cost: 1)    f13(Ar_0, Ar_1, Ar_2) -> Com_1(f10(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]
		(Comp: 1, Cost: 1)       f10(Ar_0, Ar_1, Ar_2) -> Com_1(f21(1, Ar_1, Ar_2)) [ Ar_0 >= 6 ]
		(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(f27) = -V_3 - 5
	Pol(f13) = -V_2 + 6
and size complexities
	S("koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f0(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]", 0-0) = Ar_0
	S("koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f0(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]", 0-1) = Ar_1
	S("koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f0(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]", 0-2) = Ar_2
	S("f10(Ar_0, Ar_1, Ar_2) -> Com_1(f21(1, Ar_1, Ar_2)) [ Ar_0 >= 6 ]", 0-0) = 1
	S("f10(Ar_0, Ar_1, Ar_2) -> Com_1(f21(1, Ar_1, Ar_2)) [ Ar_0 >= 6 ]", 0-1) = 6
	S("f10(Ar_0, Ar_1, Ar_2) -> Com_1(f21(1, Ar_1, Ar_2)) [ Ar_0 >= 6 ]", 0-2) = Ar_2
	S("f13(Ar_0, Ar_1, Ar_2) -> Com_1(f10(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]", 0-0) = 1643
	S("f13(Ar_0, Ar_1, Ar_2) -> Com_1(f10(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]", 0-1) = 6
	S("f13(Ar_0, Ar_1, Ar_2) -> Com_1(f10(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]", 0-2) = Ar_2
	S("f21(Ar_0, Ar_1, Ar_2) -> Com_1(f39(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= 6 ]", 0-0) = 6
	S("f21(Ar_0, Ar_1, Ar_2) -> Com_1(f39(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= 6 ]", 0-1) = 1643
	S("f21(Ar_0, Ar_1, Ar_2) -> Com_1(f39(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= 6 ]", 0-2) = 6
	S("f24(Ar_0, Ar_1, Ar_2) -> Com_1(f21(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]", 0-0) = 6
	S("f24(Ar_0, Ar_1, Ar_2) -> Com_1(f21(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]", 0-1) = 1643
	S("f24(Ar_0, Ar_1, Ar_2) -> Com_1(f21(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]", 0-2) = 6
	S("f27(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, Ar_1 + 1, Ar_2)) [ Ar_2 >= 6 ]", 0-0) = 6
	S("f27(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, Ar_1 + 1, Ar_2)) [ Ar_2 >= 6 ]", 0-1) = 1643
	S("f27(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, Ar_1 + 1, Ar_2)) [ Ar_2 >= 6 ]", 0-2) = 6
	S("f27(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, Ar_2 + 1)) [ 5 >= Ar_2 ]", 0-0) = 6
	S("f27(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, Ar_2 + 1)) [ 5 >= Ar_2 ]", 0-1) = 1643
	S("f27(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, Ar_2 + 1)) [ 5 >= Ar_2 ]", 0-2) = 6
	S("f24(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, 1)) [ 5 >= Ar_1 ]", 0-0) = 6
	S("f24(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, 1)) [ 5 >= Ar_1 ]", 0-1) = 1643
	S("f24(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, 1)) [ 5 >= Ar_1 ]", 0-2) = 1
	S("f21(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]", 0-0) = 6
	S("f21(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]", 0-1) = 1
	S("f21(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]", 0-2) = Ar_2 + 6
	S("f13(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2)) [ 5 >= Ar_1 ]", 0-0) = 1643
	S("f13(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2)) [ 5 >= Ar_1 ]", 0-1) = 6
	S("f13(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2)) [ 5 >= Ar_1 ]", 0-2) = Ar_2
	S("f10(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]", 0-0) = 1643
	S("f10(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]", 0-1) = 1
	S("f10(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]", 0-2) = Ar_2
	S("f0(Ar_0, Ar_1, Ar_2) -> Com_1(f10(1, Ar_1, Ar_2))", 0-0) = 1
	S("f0(Ar_0, Ar_1, Ar_2) -> Com_1(f10(1, Ar_1, Ar_2))", 0-1) = Ar_1
	S("f0(Ar_0, Ar_1, Ar_2) -> Com_1(f10(1, Ar_1, Ar_2))", 0-2) = Ar_2
orients the transitions
	f27(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, Ar_2 + 1)) [ 5 >= Ar_2 ]
	f13(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2)) [ 5 >= Ar_1 ]
weakly and the transition
	f13(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2)) [ 5 >= Ar_1 ]
strictly and produces the following problem:
9:	T:
		(Comp: 1, Cost: 1)        f0(Ar_0, Ar_1, Ar_2) -> Com_1(f10(1, Ar_1, Ar_2))
		(Comp: 821, Cost: 1)      f10(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]
		(Comp: 10673, Cost: 1)    f13(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2)) [ 5 >= Ar_1 ]
		(Comp: 5, Cost: 1)        f21(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]
		(Comp: 821, Cost: 1)      f24(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, 1)) [ 5 >= Ar_1 ]
		(Comp: ?, Cost: 1)        f27(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, Ar_2 + 1)) [ 5 >= Ar_2 ]
		(Comp: 1642, Cost: 1)     f27(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, Ar_1 + 1, Ar_2)) [ Ar_2 >= 6 ]
		(Comp: 5, Cost: 1)        f24(Ar_0, Ar_1, Ar_2) -> Com_1(f21(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]
		(Comp: 1, Cost: 1)        f21(Ar_0, Ar_1, Ar_2) -> Com_1(f39(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= 6 ]
		(Comp: 1642, Cost: 1)     f13(Ar_0, Ar_1, Ar_2) -> Com_1(f10(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]
		(Comp: 1, Cost: 1)        f10(Ar_0, Ar_1, Ar_2) -> Com_1(f21(1, Ar_1, Ar_2)) [ Ar_0 >= 6 ]
		(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(f27) = -V_3 + 6
and size complexities
	S("koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f0(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]", 0-0) = Ar_0
	S("koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f0(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]", 0-1) = Ar_1
	S("koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f0(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]", 0-2) = Ar_2
	S("f10(Ar_0, Ar_1, Ar_2) -> Com_1(f21(1, Ar_1, Ar_2)) [ Ar_0 >= 6 ]", 0-0) = 1
	S("f10(Ar_0, Ar_1, Ar_2) -> Com_1(f21(1, Ar_1, Ar_2)) [ Ar_0 >= 6 ]", 0-1) = 6
	S("f10(Ar_0, Ar_1, Ar_2) -> Com_1(f21(1, Ar_1, Ar_2)) [ Ar_0 >= 6 ]", 0-2) = Ar_2
	S("f13(Ar_0, Ar_1, Ar_2) -> Com_1(f10(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]", 0-0) = 1643
	S("f13(Ar_0, Ar_1, Ar_2) -> Com_1(f10(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]", 0-1) = 6
	S("f13(Ar_0, Ar_1, Ar_2) -> Com_1(f10(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]", 0-2) = Ar_2
	S("f21(Ar_0, Ar_1, Ar_2) -> Com_1(f39(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= 6 ]", 0-0) = 6
	S("f21(Ar_0, Ar_1, Ar_2) -> Com_1(f39(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= 6 ]", 0-1) = 1643
	S("f21(Ar_0, Ar_1, Ar_2) -> Com_1(f39(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= 6 ]", 0-2) = 6
	S("f24(Ar_0, Ar_1, Ar_2) -> Com_1(f21(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]", 0-0) = 6
	S("f24(Ar_0, Ar_1, Ar_2) -> Com_1(f21(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]", 0-1) = 1643
	S("f24(Ar_0, Ar_1, Ar_2) -> Com_1(f21(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]", 0-2) = 6
	S("f27(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, Ar_1 + 1, Ar_2)) [ Ar_2 >= 6 ]", 0-0) = 6
	S("f27(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, Ar_1 + 1, Ar_2)) [ Ar_2 >= 6 ]", 0-1) = 1643
	S("f27(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, Ar_1 + 1, Ar_2)) [ Ar_2 >= 6 ]", 0-2) = 6
	S("f27(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, Ar_2 + 1)) [ 5 >= Ar_2 ]", 0-0) = 6
	S("f27(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, Ar_2 + 1)) [ 5 >= Ar_2 ]", 0-1) = 1643
	S("f27(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, Ar_2 + 1)) [ 5 >= Ar_2 ]", 0-2) = 6
	S("f24(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, 1)) [ 5 >= Ar_1 ]", 0-0) = 6
	S("f24(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, 1)) [ 5 >= Ar_1 ]", 0-1) = 1643
	S("f24(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, 1)) [ 5 >= Ar_1 ]", 0-2) = 1
	S("f21(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]", 0-0) = 6
	S("f21(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]", 0-1) = 1
	S("f21(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]", 0-2) = Ar_2 + 6
	S("f13(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2)) [ 5 >= Ar_1 ]", 0-0) = 1643
	S("f13(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2)) [ 5 >= Ar_1 ]", 0-1) = 6
	S("f13(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2)) [ 5 >= Ar_1 ]", 0-2) = Ar_2
	S("f10(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]", 0-0) = 1643
	S("f10(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]", 0-1) = 1
	S("f10(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]", 0-2) = Ar_2
	S("f0(Ar_0, Ar_1, Ar_2) -> Com_1(f10(1, Ar_1, Ar_2))", 0-0) = 1
	S("f0(Ar_0, Ar_1, Ar_2) -> Com_1(f10(1, Ar_1, Ar_2))", 0-1) = Ar_1
	S("f0(Ar_0, Ar_1, Ar_2) -> Com_1(f10(1, Ar_1, Ar_2))", 0-2) = Ar_2
orients the transitions
	f27(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, Ar_2 + 1)) [ 5 >= Ar_2 ]
weakly and the transition
	f27(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, Ar_2 + 1)) [ 5 >= Ar_2 ]
strictly and produces the following problem:
10:	T:
		(Comp: 1, Cost: 1)        f0(Ar_0, Ar_1, Ar_2) -> Com_1(f10(1, Ar_1, Ar_2))
		(Comp: 821, Cost: 1)      f10(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]
		(Comp: 10673, Cost: 1)    f13(Ar_0, Ar_1, Ar_2) -> Com_1(f13(Ar_0, Ar_1 + 1, Ar_2)) [ 5 >= Ar_1 ]
		(Comp: 5, Cost: 1)        f21(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, 1, Ar_2)) [ 5 >= Ar_0 ]
		(Comp: 821, Cost: 1)      f24(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, 1)) [ 5 >= Ar_1 ]
		(Comp: 5747, Cost: 1)     f27(Ar_0, Ar_1, Ar_2) -> Com_1(f27(Ar_0, Ar_1, Ar_2 + 1)) [ 5 >= Ar_2 ]
		(Comp: 1642, Cost: 1)     f27(Ar_0, Ar_1, Ar_2) -> Com_1(f24(Ar_0, Ar_1 + 1, Ar_2)) [ Ar_2 >= 6 ]
		(Comp: 5, Cost: 1)        f24(Ar_0, Ar_1, Ar_2) -> Com_1(f21(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]
		(Comp: 1, Cost: 1)        f21(Ar_0, Ar_1, Ar_2) -> Com_1(f39(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= 6 ]
		(Comp: 1642, Cost: 1)     f13(Ar_0, Ar_1, Ar_2) -> Com_1(f10(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 >= 6 ]
		(Comp: 1, Cost: 1)        f10(Ar_0, Ar_1, Ar_2) -> Com_1(f21(1, Ar_1, Ar_2)) [ Ar_0 >= 6 ]
		(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 21359

Time: 1.454 sec (SMT: 1.377 sec)