
Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f4(0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1, Ar_0 + 1, Ar_3)) [ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1, Ar_2 + 1, 0)) [ Ar_1 >= Ar_2 + 1 ]
		(Comp: ?, Cost: 1)    f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1 - 1, Ar_2, Fresh_1)) [ Ar_1 >= Ar_2 + 1 /\ 0 >= Fresh_1 + 1 ]
		(Comp: ?, Cost: 1)    f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1 - 1, Ar_2, Fresh_0)) [ Ar_1 >= Ar_2 + 1 /\ Fresh_0 >= 1 ]
		(Comp: ?, Cost: 1)    f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f19(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3)) [ 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, Ar_3) -> Com_1(f4(0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1, Ar_0 + 1, Ar_3)) [ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1, Ar_2 + 1, 0)) [ Ar_1 >= Ar_2 + 1 ]
		(Comp: ?, Cost: 1)    f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1 - 1, Ar_2, Fresh_1)) [ Ar_1 >= Ar_2 + 1 /\ 0 >= Fresh_1 + 1 ]
		(Comp: ?, Cost: 1)    f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1 - 1, Ar_2, Fresh_0)) [ Ar_1 >= Ar_2 + 1 /\ Fresh_0 >= 1 ]
		(Comp: ?, Cost: 1)    f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f19(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(f0) = 1
	Pol(f4) = 1
	Pol(f7) = 1
	Pol(f19) = 0
	Pol(koat_start) = 1
orients all transitions weakly and the transition
	f4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f19(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ]
strictly and produces the following problem:
3:	T:
		(Comp: 1, Cost: 1)    f0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f4(0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1, Ar_0 + 1, Ar_3)) [ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1, Ar_2 + 1, 0)) [ Ar_1 >= Ar_2 + 1 ]
		(Comp: ?, Cost: 1)    f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1 - 1, Ar_2, Fresh_1)) [ Ar_1 >= Ar_2 + 1 /\ 0 >= Fresh_1 + 1 ]
		(Comp: ?, Cost: 1)    f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1 - 1, Ar_2, Fresh_0)) [ Ar_1 >= Ar_2 + 1 /\ Fresh_0 >= 1 ]
		(Comp: ?, Cost: 1)    f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_1 ]
		(Comp: 1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f19(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(f0) = V_2 + 1
	Pol(f4) = -V_1 + V_2 + 1
	Pol(f7) = -V_1 + V_2
	Pol(f19) = -V_1 + V_2
	Pol(koat_start) = V_2 + 1
orients all transitions weakly and the transition
	f4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1, Ar_0 + 1, Ar_3)) [ Ar_1 >= Ar_0 + 1 ]
strictly and produces the following problem:
4:	T:
		(Comp: 1, Cost: 1)           f0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f4(0, Ar_1, Ar_2, Ar_3))
		(Comp: Ar_1 + 1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1, Ar_0 + 1, Ar_3)) [ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)           f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1, Ar_2 + 1, 0)) [ Ar_1 >= Ar_2 + 1 ]
		(Comp: ?, Cost: 1)           f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1 - 1, Ar_2, Fresh_1)) [ Ar_1 >= Ar_2 + 1 /\ 0 >= Fresh_1 + 1 ]
		(Comp: ?, Cost: 1)           f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1 - 1, Ar_2, Fresh_0)) [ Ar_1 >= Ar_2 + 1 /\ Fresh_0 >= 1 ]
		(Comp: ?, Cost: 1)           f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_1 ]
		(Comp: 1, Cost: 1)           f4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f19(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ]
		(Comp: 1, Cost: 0)           koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(f7) = 1
	Pol(f4) = 0
and size complexities
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-0) = Ar_0
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-1) = Ar_1
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-2) = Ar_2
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3
	S("f4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f19(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ]", 0-0) = ?
	S("f4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f19(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ]", 0-1) = ?
	S("f4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f19(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ]", 0-2) = ?
	S("f4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f19(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ]", 0-3) = ?
	S("f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_1 ]", 0-0) = ?
	S("f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_1 ]", 0-1) = ?
	S("f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_1 ]", 0-2) = ?
	S("f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_1 ]", 0-3) = ?
	S("f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1 - 1, Ar_2, Fresh_0)) [ Ar_1 >= Ar_2 + 1 /\\ Fresh_0 >= 1 ]", 0-0) = ?
	S("f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1 - 1, Ar_2, Fresh_0)) [ Ar_1 >= Ar_2 + 1 /\\ Fresh_0 >= 1 ]", 0-1) = ?
	S("f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1 - 1, Ar_2, Fresh_0)) [ Ar_1 >= Ar_2 + 1 /\\ Fresh_0 >= 1 ]", 0-2) = ?
	S("f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1 - 1, Ar_2, Fresh_0)) [ Ar_1 >= Ar_2 + 1 /\\ Fresh_0 >= 1 ]", 0-3) = ?
	S("f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1 - 1, Ar_2, Fresh_1)) [ Ar_1 >= Ar_2 + 1 /\\ 0 >= Fresh_1 + 1 ]", 0-0) = ?
	S("f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1 - 1, Ar_2, Fresh_1)) [ Ar_1 >= Ar_2 + 1 /\\ 0 >= Fresh_1 + 1 ]", 0-1) = ?
	S("f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1 - 1, Ar_2, Fresh_1)) [ Ar_1 >= Ar_2 + 1 /\\ 0 >= Fresh_1 + 1 ]", 0-2) = ?
	S("f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1 - 1, Ar_2, Fresh_1)) [ Ar_1 >= Ar_2 + 1 /\\ 0 >= Fresh_1 + 1 ]", 0-3) = ?
	S("f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1, Ar_2 + 1, 0)) [ Ar_1 >= Ar_2 + 1 ]", 0-0) = ?
	S("f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1, Ar_2 + 1, 0)) [ Ar_1 >= Ar_2 + 1 ]", 0-1) = ?
	S("f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1, Ar_2 + 1, 0)) [ Ar_1 >= Ar_2 + 1 ]", 0-2) = ?
	S("f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1, Ar_2 + 1, 0)) [ Ar_1 >= Ar_2 + 1 ]", 0-3) = 0
	S("f4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1, Ar_0 + 1, Ar_3)) [ Ar_1 >= Ar_0 + 1 ]", 0-0) = ?
	S("f4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1, Ar_0 + 1, Ar_3)) [ Ar_1 >= Ar_0 + 1 ]", 0-1) = ?
	S("f4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1, Ar_0 + 1, Ar_3)) [ Ar_1 >= Ar_0 + 1 ]", 0-2) = ?
	S("f4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1, Ar_0 + 1, Ar_3)) [ Ar_1 >= Ar_0 + 1 ]", 0-3) = ?
	S("f0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f4(0, Ar_1, Ar_2, Ar_3))", 0-0) = 0
	S("f0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f4(0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("f0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f4(0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("f0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f4(0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
orients the transitions
	f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1, Ar_2 + 1, 0)) [ Ar_1 >= Ar_2 + 1 ]
	f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1 - 1, Ar_2, Fresh_1)) [ Ar_1 >= Ar_2 + 1 /\ 0 >= Fresh_1 + 1 ]
	f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1 - 1, Ar_2, Fresh_0)) [ Ar_1 >= Ar_2 + 1 /\ Fresh_0 >= 1 ]
	f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_1 ]
weakly and the transition
	f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_1 ]
strictly and produces the following problem:
5:	T:
		(Comp: 1, Cost: 1)           f0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f4(0, Ar_1, Ar_2, Ar_3))
		(Comp: Ar_1 + 1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1, Ar_0 + 1, Ar_3)) [ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)           f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1, Ar_2 + 1, 0)) [ Ar_1 >= Ar_2 + 1 ]
		(Comp: ?, Cost: 1)           f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1 - 1, Ar_2, Fresh_1)) [ Ar_1 >= Ar_2 + 1 /\ 0 >= Fresh_1 + 1 ]
		(Comp: ?, Cost: 1)           f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1 - 1, Ar_2, Fresh_0)) [ Ar_1 >= Ar_2 + 1 /\ Fresh_0 >= 1 ]
		(Comp: Ar_1 + 1, Cost: 1)    f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_1 ]
		(Comp: 1, Cost: 1)           f4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f19(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ]
		(Comp: 1, Cost: 0)           koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Applied AI with 'oct' on problem 5 to obtain the following invariants:
  For symbol f4: X_1 >= 0
  For symbol f7: X_2 - X_3 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 >= 0


This yielded the following problem:
6:	T:
		(Comp: 1, Cost: 0)           koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)           f4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f19(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_0 >= Ar_1 ]
		(Comp: Ar_1 + 1, Cost: 1)    f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)           f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1 - 1, Ar_2, Fresh_0)) [ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= Ar_2 + 1 /\ Fresh_0 >= 1 ]
		(Comp: ?, Cost: 1)           f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1 - 1, Ar_2, Fresh_1)) [ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= Ar_2 + 1 /\ 0 >= Fresh_1 + 1 ]
		(Comp: ?, Cost: 1)           f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1, Ar_2 + 1, 0)) [ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= Ar_2 + 1 ]
		(Comp: Ar_1 + 1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1, Ar_0 + 1, Ar_3)) [ Ar_0 >= 0 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: 1, Cost: 1)           f0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f4(0, Ar_1, Ar_2, Ar_3))
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(koat_start) = V_2
	Pol(f0) = V_2
	Pol(f4) = V_2
	Pol(f19) = V_2
	Pol(f7) = V_2
orients all transitions weakly and the transitions
	f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1 - 1, Ar_2, Fresh_1)) [ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= Ar_2 + 1 /\ 0 >= Fresh_1 + 1 ]
	f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1 - 1, Ar_2, Fresh_0)) [ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= Ar_2 + 1 /\ Fresh_0 >= 1 ]
strictly and produces the following problem:
7:	T:
		(Comp: 1, Cost: 0)           koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)           f4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f19(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_0 >= Ar_1 ]
		(Comp: Ar_1 + 1, Cost: 1)    f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_1 ]
		(Comp: Ar_1, Cost: 1)        f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1 - 1, Ar_2, Fresh_0)) [ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= Ar_2 + 1 /\ Fresh_0 >= 1 ]
		(Comp: Ar_1, Cost: 1)        f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1 - 1, Ar_2, Fresh_1)) [ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= Ar_2 + 1 /\ 0 >= Fresh_1 + 1 ]
		(Comp: ?, Cost: 1)           f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1, Ar_2 + 1, 0)) [ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= Ar_2 + 1 ]
		(Comp: Ar_1 + 1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1, Ar_0 + 1, Ar_3)) [ Ar_0 >= 0 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: 1, Cost: 1)           f0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f4(0, Ar_1, Ar_2, Ar_3))
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(f7) = V_2 - V_3 + 1
and size complexities
	S("f0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f4(0, Ar_1, Ar_2, Ar_3))", 0-0) = 0
	S("f0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f4(0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("f0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f4(0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("f0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f4(0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("f4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1, Ar_0 + 1, Ar_3)) [ Ar_0 >= 0 /\\ Ar_1 >= Ar_0 + 1 ]", 0-0) = Ar_1
	S("f4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1, Ar_0 + 1, Ar_3)) [ Ar_0 >= 0 /\\ Ar_1 >= Ar_0 + 1 ]", 0-1) = Ar_1
	S("f4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1, Ar_0 + 1, Ar_3)) [ Ar_0 >= 0 /\\ Ar_1 >= Ar_0 + 1 ]", 0-2) = Ar_1
	S("f4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1, Ar_0 + 1, Ar_3)) [ Ar_0 >= 0 /\\ Ar_1 >= Ar_0 + 1 ]", 0-3) = ?
	S("f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1, Ar_2 + 1, 0)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_1 >= Ar_2 + 1 ]", 0-0) = Ar_1
	S("f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1, Ar_2 + 1, 0)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_1 >= Ar_2 + 1 ]", 0-1) = Ar_1
	S("f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1, Ar_2 + 1, 0)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_1 >= Ar_2 + 1 ]", 0-2) = Ar_1
	S("f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1, Ar_2 + 1, 0)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_1 >= Ar_2 + 1 ]", 0-3) = 0
	S("f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1 - 1, Ar_2, Fresh_1)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_1 >= Ar_2 + 1 /\\ 0 >= Fresh_1 + 1 ]", 0-0) = Ar_1
	S("f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1 - 1, Ar_2, Fresh_1)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_1 >= Ar_2 + 1 /\\ 0 >= Fresh_1 + 1 ]", 0-1) = Ar_1
	S("f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1 - 1, Ar_2, Fresh_1)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_1 >= Ar_2 + 1 /\\ 0 >= Fresh_1 + 1 ]", 0-2) = Ar_1
	S("f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1 - 1, Ar_2, Fresh_1)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_1 >= Ar_2 + 1 /\\ 0 >= Fresh_1 + 1 ]", 0-3) = ?
	S("f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1 - 1, Ar_2, Fresh_0)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_1 >= Ar_2 + 1 /\\ Fresh_0 >= 1 ]", 0-0) = Ar_1
	S("f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1 - 1, Ar_2, Fresh_0)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_1 >= Ar_2 + 1 /\\ Fresh_0 >= 1 ]", 0-1) = Ar_1
	S("f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1 - 1, Ar_2, Fresh_0)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_1 >= Ar_2 + 1 /\\ Fresh_0 >= 1 ]", 0-2) = Ar_1
	S("f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1 - 1, Ar_2, Fresh_0)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_1 >= Ar_2 + 1 /\\ Fresh_0 >= 1 ]", 0-3) = ?
	S("f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_2 >= Ar_1 ]", 0-0) = Ar_1
	S("f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_2 >= Ar_1 ]", 0-1) = Ar_1
	S("f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_2 >= Ar_1 ]", 0-2) = Ar_1
	S("f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_2 >= Ar_1 ]", 0-3) = ?
	S("f4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f19(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\\ Ar_0 >= Ar_1 ]", 0-0) = Ar_1
	S("f4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f19(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\\ Ar_0 >= Ar_1 ]", 0-1) = Ar_1
	S("f4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f19(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\\ Ar_0 >= Ar_1 ]", 0-2) = Ar_1 + Ar_2
	S("f4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f19(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\\ Ar_0 >= Ar_1 ]", 0-3) = ?
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-0) = Ar_0
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-1) = Ar_1
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-2) = Ar_2
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3
orients the transitions
	f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1, Ar_2 + 1, 0)) [ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= Ar_2 + 1 ]
weakly and the transition
	f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1, Ar_2 + 1, 0)) [ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= Ar_2 + 1 ]
strictly and produces the following problem:
8:	T:
		(Comp: 1, Cost: 0)                        koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)                        f4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f19(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_0 >= Ar_1 ]
		(Comp: Ar_1 + 1, Cost: 1)                 f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f4(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_1 ]
		(Comp: Ar_1, Cost: 1)                     f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1 - 1, Ar_2, Fresh_0)) [ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= Ar_2 + 1 /\ Fresh_0 >= 1 ]
		(Comp: Ar_1, Cost: 1)                     f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1 - 1, Ar_2, Fresh_1)) [ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= Ar_2 + 1 /\ 0 >= Fresh_1 + 1 ]
		(Comp: 6*Ar_1^2 + 5*Ar_1 + 1, Cost: 1)    f7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1, Ar_2 + 1, 0)) [ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= Ar_2 + 1 ]
		(Comp: Ar_1 + 1, Cost: 1)                 f4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f7(Ar_0, Ar_1, Ar_0 + 1, Ar_3)) [ Ar_0 >= 0 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: 1, Cost: 1)                        f0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f4(0, Ar_1, Ar_2, Ar_3))
	start location:	koat_start
	leaf cost:	0

Complexity upper bound 9*Ar_1 + 6*Ar_1^2 + 5

Time: 0.143 sec (SMT: 0.119 sec)
