MAYBE

Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f300(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f300(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2, Fresh_6, Ar_4)) [ Fresh_6 >= 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2, Fresh_5, Ar_4)) [ 0 >= Fresh_5 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f2(Ar_0, Ar_1, Ar_2, 0, Ar_4)) [ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2, Fresh_4, Ar_4)) [ Fresh_4 >= 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2, Fresh_3, Ar_4)) [ 0 >= Fresh_3 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f2(Ar_0, Ar_1, Ar_2, 0, Ar_4)) [ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f300(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f1(Ar_0, Ar_1, Ar_2, Ar_3, Fresh_2)) [ Ar_2 >= Ar_0 ]
		(Comp: ?, Cost: 1)    f300(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f300(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 /\ Ar_0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f300(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2, Fresh_1, Ar_4)) [ Fresh_1 >= 1 /\ Ar_0 >= Ar_2 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f300(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2, Fresh_0, Ar_4)) [ 0 >= Fresh_0 + 1 /\ Ar_0 >= Ar_2 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f300(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f2(Ar_0, Ar_1, Ar_2, 0, Ar_4)) [ Ar_0 >= Ar_2 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Slicing away variables that do not contribute to conditions from problem 1 leaves variables [Ar_0, Ar_1, Ar_2].
We thus obtain the following problem:
2:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f5(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
		(Comp: ?, Cost: 1)    f300(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= Ar_2 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f300(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_0 + 1 /\ Ar_0 >= Ar_2 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f300(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_1 >= 1 /\ Ar_0 >= Ar_2 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f300(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2 + 1)) [ Ar_0 >= Ar_2 + 1 /\ Ar_0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f300(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_0 ]
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_3 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_4 >= 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_5 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_6 >= 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2 + 1)) [ Ar_0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f5(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2))
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 2 produces the following problem:
3:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f5(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)    f300(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= Ar_2 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: 1, Cost: 1)    f300(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_0 + 1 /\ Ar_0 >= Ar_2 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: 1, Cost: 1)    f300(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_1 >= 1 /\ Ar_0 >= Ar_2 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f300(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2 + 1)) [ Ar_0 >= Ar_2 + 1 /\ Ar_0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f300(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_0 ]
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_3 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_4 >= 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_5 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_6 >= 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2 + 1)) [ Ar_0 >= Ar_1 ]
		(Comp: 1, Cost: 1)    f5(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2))
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(koat_start) = 1
	Pol(f5) = 1
	Pol(f300) = 1
	Pol(f2) = 1
	Pol(f4) = 1
	Pol(f1) = 0
orients all transitions weakly and the transition
	f300(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_0 ]
strictly and produces the following problem:
4:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f5(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)    f300(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= Ar_2 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: 1, Cost: 1)    f300(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_0 + 1 /\ Ar_0 >= Ar_2 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: 1, Cost: 1)    f300(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_1 >= 1 /\ Ar_0 >= Ar_2 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f300(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2 + 1)) [ Ar_0 >= Ar_2 + 1 /\ Ar_0 >= Ar_1 ]
		(Comp: 1, Cost: 1)    f300(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_0 ]
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_3 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_4 >= 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_5 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_6 >= 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2 + 1)) [ Ar_0 >= Ar_1 ]
		(Comp: 1, Cost: 1)    f5(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2))
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(f4) = 1
	Pol(f300) = 0
	Pol(f2) = 1
and size complexities
	S("f5(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2))", 0-0) = Ar_0
	S("f5(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2))", 0-1) = Ar_1
	S("f5(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2))", 0-2) = Ar_2
	S("f4(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2 + 1)) [ Ar_0 >= Ar_1 ]", 0-0) = ?
	S("f4(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2 + 1)) [ Ar_0 >= Ar_1 ]", 0-1) = Ar_1
	S("f4(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2 + 1)) [ Ar_0 >= Ar_1 ]", 0-2) = Ar_2 + 1
	S("f4(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_6 >= 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-0) = ?
	S("f4(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_6 >= 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-1) = Ar_1
	S("f4(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_6 >= 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-2) = Ar_2
	S("f4(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_5 + 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-0) = ?
	S("f4(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_5 + 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-1) = Ar_1
	S("f4(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_5 + 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-2) = Ar_2
	S("f4(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 1 ]", 0-0) = ?
	S("f4(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 1 ]", 0-1) = Ar_1
	S("f4(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 1 ]", 0-2) = Ar_2
	S("f2(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_4 >= 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-0) = ?
	S("f2(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_4 >= 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-1) = Ar_1
	S("f2(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_4 >= 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-2) = Ar_2
	S("f2(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_3 + 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-0) = ?
	S("f2(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_3 + 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-1) = Ar_1
	S("f2(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_3 + 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-2) = Ar_2
	S("f2(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 1 ]", 0-0) = ?
	S("f2(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 1 ]", 0-1) = Ar_1
	S("f2(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 1 ]", 0-2) = Ar_2
	S("f300(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_0 ]", 0-0) = ?
	S("f300(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_0 ]", 0-1) = Ar_1
	S("f300(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_0 ]", 0-2) = ?
	S("f300(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2 + 1)) [ Ar_0 >= Ar_2 + 1 /\\ Ar_0 >= Ar_1 ]", 0-0) = ?
	S("f300(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2 + 1)) [ Ar_0 >= Ar_2 + 1 /\\ Ar_0 >= Ar_1 ]", 0-1) = Ar_1
	S("f300(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2 + 1)) [ Ar_0 >= Ar_2 + 1 /\\ Ar_0 >= Ar_1 ]", 0-2) = ?
	S("f300(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_1 >= 1 /\\ Ar_0 >= Ar_2 + 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-0) = Ar_0 + 1
	S("f300(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_1 >= 1 /\\ Ar_0 >= Ar_2 + 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-1) = Ar_1
	S("f300(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_1 >= 1 /\\ Ar_0 >= Ar_2 + 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-2) = Ar_2
	S("f300(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_0 + 1 /\\ Ar_0 >= Ar_2 + 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-0) = Ar_0 + 1
	S("f300(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_0 + 1 /\\ Ar_0 >= Ar_2 + 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-1) = Ar_1
	S("f300(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_0 + 1 /\\ Ar_0 >= Ar_2 + 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-2) = Ar_2
	S("f300(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= Ar_2 + 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-0) = Ar_0
	S("f300(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= Ar_2 + 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-1) = Ar_1
	S("f300(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= Ar_2 + 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-2) = Ar_2
	S("koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f5(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]", 0-0) = Ar_0
	S("koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f5(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]", 0-1) = Ar_1
	S("koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f5(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]", 0-2) = Ar_2
orients the transitions
	f4(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_6 >= 1 /\ Ar_1 >= Ar_0 + 1 ]
	f4(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_5 + 1 /\ Ar_1 >= Ar_0 + 1 ]
	f4(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2 + 1)) [ Ar_0 >= Ar_1 ]
	f4(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 1 ]
	f300(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2 + 1)) [ Ar_0 >= Ar_2 + 1 /\ Ar_0 >= Ar_1 ]
	f2(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_4 >= 1 /\ Ar_1 >= Ar_0 + 1 ]
	f2(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_3 + 1 /\ Ar_1 >= Ar_0 + 1 ]
	f2(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 1 ]
weakly and the transition
	f4(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2 + 1)) [ Ar_0 >= Ar_1 ]
strictly and produces the following problem:
5:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f5(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)    f300(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= Ar_2 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: 1, Cost: 1)    f300(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_0 + 1 /\ Ar_0 >= Ar_2 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: 1, Cost: 1)    f300(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_1 >= 1 /\ Ar_0 >= Ar_2 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f300(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2 + 1)) [ Ar_0 >= Ar_2 + 1 /\ Ar_0 >= Ar_1 ]
		(Comp: 1, Cost: 1)    f300(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_0 ]
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_3 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_4 >= 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_5 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_6 >= 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: 3, Cost: 1)    f4(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2 + 1)) [ Ar_0 >= Ar_1 ]
		(Comp: 1, Cost: 1)    f5(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2))
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(koat_start) = -3*V_1 + 3*V_2
	Pol(f5) = -3*V_1 + 3*V_2
	Pol(f300) = -3*V_1 + 3*V_2
	Pol(f2) = -2*V_1 + 2*V_2 - 1
	Pol(f4) = -2*V_1 + 2*V_2
	Pol(f1) = 3*V_2 - 3*V_3
orients all transitions weakly and the transitions
	f4(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_6 >= 1 /\ Ar_1 >= Ar_0 + 1 ]
	f4(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_5 + 1 /\ Ar_1 >= Ar_0 + 1 ]
	f4(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 1 ]
	f2(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_4 >= 1 /\ Ar_1 >= Ar_0 + 1 ]
	f2(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_3 + 1 /\ Ar_1 >= Ar_0 + 1 ]
strictly and produces the following problem:
6:	T:
		(Comp: 1, Cost: 0)                  koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f5(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)                  f300(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= Ar_2 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: 1, Cost: 1)                  f300(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_0 + 1 /\ Ar_0 >= Ar_2 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: 1, Cost: 1)                  f300(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_1 >= 1 /\ Ar_0 >= Ar_2 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)                  f300(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2 + 1)) [ Ar_0 >= Ar_2 + 1 /\ Ar_0 >= Ar_1 ]
		(Comp: 1, Cost: 1)                  f300(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_0 ]
		(Comp: ?, Cost: 1)                  f2(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 1 ]
		(Comp: 3*Ar_0 + 3*Ar_1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_3 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: 3*Ar_0 + 3*Ar_1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_4 >= 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: 3*Ar_0 + 3*Ar_1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 1 ]
		(Comp: 3*Ar_0 + 3*Ar_1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_5 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: 3*Ar_0 + 3*Ar_1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_6 >= 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: 3, Cost: 1)                  f4(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2 + 1)) [ Ar_0 >= Ar_1 ]
		(Comp: 1, Cost: 1)                  f5(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2))
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(f300) = V_1 - V_3
	Pol(f2) = 0
and size complexities
	S("f5(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2))", 0-0) = Ar_0
	S("f5(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2))", 0-1) = Ar_1
	S("f5(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2))", 0-2) = Ar_2
	S("f4(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2 + 1)) [ Ar_0 >= Ar_1 ]", 0-0) = 13*Ar_0 + 13*Ar_1 + 2197
	S("f4(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2 + 1)) [ Ar_0 >= Ar_1 ]", 0-1) = Ar_1
	S("f4(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2 + 1)) [ Ar_0 >= Ar_1 ]", 0-2) = Ar_2 + 1
	S("f4(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_6 >= 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-0) = 13*Ar_0 + 13*Ar_1 + 169
	S("f4(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_6 >= 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-1) = Ar_1
	S("f4(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_6 >= 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-2) = Ar_2
	S("f4(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_5 + 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-0) = 13*Ar_0 + 13*Ar_1 + 169
	S("f4(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_5 + 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-1) = Ar_1
	S("f4(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_5 + 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-2) = Ar_2
	S("f4(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 1 ]", 0-0) = 13*Ar_0 + 13*Ar_1 + 169
	S("f4(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 1 ]", 0-1) = Ar_1
	S("f4(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 1 ]", 0-2) = Ar_2
	S("f2(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_4 >= 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-0) = 13*Ar_0 + 13*Ar_1 + 169
	S("f2(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_4 >= 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-1) = Ar_1
	S("f2(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_4 >= 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-2) = Ar_2
	S("f2(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_3 + 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-0) = 13*Ar_0 + 13*Ar_1 + 169
	S("f2(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_3 + 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-1) = Ar_1
	S("f2(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_3 + 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-2) = Ar_2
	S("f2(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 1 ]", 0-0) = 13*Ar_0 + 13*Ar_1 + 169
	S("f2(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 1 ]", 0-1) = Ar_1
	S("f2(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 1 ]", 0-2) = Ar_2
	S("f300(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_0 ]", 0-0) = 13*Ar_0 + 13*Ar_1 + 371293
	S("f300(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_0 ]", 0-1) = Ar_1
	S("f300(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_0 ]", 0-2) = ?
	S("f300(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2 + 1)) [ Ar_0 >= Ar_2 + 1 /\\ Ar_0 >= Ar_1 ]", 0-0) = 13*Ar_0 + 13*Ar_1 + 28561
	S("f300(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2 + 1)) [ Ar_0 >= Ar_2 + 1 /\\ Ar_0 >= Ar_1 ]", 0-1) = Ar_1
	S("f300(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2 + 1)) [ Ar_0 >= Ar_2 + 1 /\\ Ar_0 >= Ar_1 ]", 0-2) = ?
	S("f300(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_1 >= 1 /\\ Ar_0 >= Ar_2 + 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-0) = Ar_0 + 1
	S("f300(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_1 >= 1 /\\ Ar_0 >= Ar_2 + 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-1) = Ar_1
	S("f300(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_1 >= 1 /\\ Ar_0 >= Ar_2 + 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-2) = Ar_2
	S("f300(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_0 + 1 /\\ Ar_0 >= Ar_2 + 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-0) = Ar_0 + 1
	S("f300(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_0 + 1 /\\ Ar_0 >= Ar_2 + 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-1) = Ar_1
	S("f300(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_0 + 1 /\\ Ar_0 >= Ar_2 + 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-2) = Ar_2
	S("f300(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= Ar_2 + 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-0) = Ar_0
	S("f300(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= Ar_2 + 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-1) = Ar_1
	S("f300(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= Ar_2 + 1 /\\ Ar_1 >= Ar_0 + 1 ]", 0-2) = Ar_2
	S("koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f5(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]", 0-0) = Ar_0
	S("koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f5(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]", 0-1) = Ar_1
	S("koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f5(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]", 0-2) = Ar_2
orients the transitions
	f300(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2 + 1)) [ Ar_0 >= Ar_2 + 1 /\ Ar_0 >= Ar_1 ]
	f2(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 1 ]
weakly and the transition
	f300(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2 + 1)) [ Ar_0 >= Ar_2 + 1 /\ Ar_0 >= Ar_1 ]
strictly and produces the following problem:
7:	T:
		(Comp: 1, Cost: 0)                                    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f5(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)                                    f300(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= Ar_2 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: 1, Cost: 1)                                    f300(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_0 + 1 /\ Ar_0 >= Ar_2 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: 1, Cost: 1)                                    f300(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_1 >= 1 /\ Ar_0 >= Ar_2 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: 40*Ar_0 + 4*Ar_2 + 39*Ar_1 + 6594, Cost: 1)    f300(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2 + 1)) [ Ar_0 >= Ar_2 + 1 /\ Ar_0 >= Ar_1 ]
		(Comp: 1, Cost: 1)                                    f300(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_0 ]
		(Comp: ?, Cost: 1)                                    f2(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 1 ]
		(Comp: 3*Ar_0 + 3*Ar_1, Cost: 1)                      f2(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_3 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: 3*Ar_0 + 3*Ar_1, Cost: 1)                      f2(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_4 >= 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: 3*Ar_0 + 3*Ar_1, Cost: 1)                      f4(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 1 ]
		(Comp: 3*Ar_0 + 3*Ar_1, Cost: 1)                      f4(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_5 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: 3*Ar_0 + 3*Ar_1, Cost: 1)                      f4(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_6 >= 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: 3, Cost: 1)                                    f4(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2 + 1)) [ Ar_0 >= Ar_1 ]
		(Comp: 1, Cost: 1)                                    f5(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2))
	start location:	koat_start
	leaf cost:	0

Applied AI with 'oct' on problem 7 to obtain the following invariants:
  For symbol f2: X_2 - X_3 - 2 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ -X_1 + X_2 - 1 >= 0
  For symbol f4: X_2 - X_3 - 2 >= 0 /\ X_1 - X_3 - 2 >= 0 /\ -X_1 + X_2 >= 0


This yielded the following problem:
8:	T:
		(Comp: 1, Cost: 1)                                    f5(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2))
		(Comp: 3, Cost: 1)                                    f4(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2 + 1)) [ Ar_1 - Ar_2 - 2 >= 0 /\ Ar_0 - Ar_2 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= Ar_1 ]
		(Comp: 3*Ar_0 + 3*Ar_1, Cost: 1)                      f4(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 - Ar_2 - 2 >= 0 /\ Ar_0 - Ar_2 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Fresh_6 >= 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: 3*Ar_0 + 3*Ar_1, Cost: 1)                      f4(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 - Ar_2 - 2 >= 0 /\ Ar_0 - Ar_2 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ 0 >= Fresh_5 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: 3*Ar_0 + 3*Ar_1, Cost: 1)                      f4(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_1 - Ar_2 - 2 >= 0 /\ Ar_0 - Ar_2 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: 3*Ar_0 + 3*Ar_1, Cost: 1)                      f2(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 - Ar_2 - 2 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Fresh_4 >= 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: 3*Ar_0 + 3*Ar_1, Cost: 1)                      f2(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Ar_1 - Ar_2 - 2 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ 0 >= Fresh_3 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)                                    f2(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_1 - Ar_2 - 2 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: 1, Cost: 1)                                    f300(Ar_0, Ar_1, Ar_2) -> Com_1(f1(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_0 ]
		(Comp: 40*Ar_0 + 4*Ar_2 + 39*Ar_1 + 6594, Cost: 1)    f300(Ar_0, Ar_1, Ar_2) -> Com_1(f300(Ar_0, Ar_1, Ar_2 + 1)) [ Ar_0 >= Ar_2 + 1 /\ Ar_0 >= Ar_1 ]
		(Comp: 1, Cost: 1)                                    f300(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ Fresh_1 >= 1 /\ Ar_0 >= Ar_2 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: 1, Cost: 1)                                    f300(Ar_0, Ar_1, Ar_2) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2)) [ 0 >= Fresh_0 + 1 /\ Ar_0 >= Ar_2 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: 1, Cost: 1)                                    f300(Ar_0, Ar_1, Ar_2) -> Com_1(f2(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= Ar_2 + 1 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: 1, Cost: 0)                                    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(f5(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound ?

Time: 3.769 sec (SMT: 3.624 sec)