
Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, 0, 0))
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_4 > 0 ]
		(Comp: ?, Cost: 1)    l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 - 1, Ar_6)) [ Ar_5 > 0 ]
		(Comp: ?, Cost: 1)    l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_3, Ar_0, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)    l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)    l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)    l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 1)) [ Ar_6 > 0 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 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)    l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, 0, 0))
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_4 > 0 ]
		(Comp: ?, Cost: 1)    l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 - 1, Ar_6)) [ Ar_5 > 0 ]
		(Comp: ?, Cost: 1)    l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_3, Ar_0, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)    l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)    l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)    l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 1)) [ Ar_6 > 0 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(l0) = 1
	Pol(l1) = 1
	Pol(l2) = 1
	Pol(l3) = 1
	Pol(l5) = 0
	Pol(koat_start) = 1
orients all transitions weakly and the transition
	l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
strictly and produces the following problem:
3:	T:
		(Comp: 1, Cost: 1)    l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, 0, 0))
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_4 > 0 ]
		(Comp: ?, Cost: 1)    l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 - 1, Ar_6)) [ Ar_5 > 0 ]
		(Comp: ?, Cost: 1)    l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_3, Ar_0, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)    l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)    l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 1)) [ Ar_6 > 0 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(l0) = V_1
	Pol(l1) = V_5
	Pol(l2) = V_5
	Pol(l3) = V_5
	Pol(l5) = V_5
	Pol(koat_start) = V_1
orients all transitions weakly and the transition
	l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_4 > 0 ]
strictly and produces the following problem:
4:	T:
		(Comp: 1, Cost: 1)       l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, 0, 0))
		(Comp: Ar_0, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_4 > 0 ]
		(Comp: ?, Cost: 1)       l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 - 1, Ar_6)) [ Ar_5 > 0 ]
		(Comp: ?, Cost: 1)       l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_3, Ar_0, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)       l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)       l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)       l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 1)) [ Ar_6 > 0 ]
		(Comp: 1, Cost: 0)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(l5) = 0
	Pol(l3) = 1
	Pol(l2) = 1
	Pol(l1) = 0
and size complexities
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]", 0-0) = Ar_0
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]", 0-1) = Ar_1
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]", 0-2) = Ar_2
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]", 0-3) = Ar_3
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]", 0-4) = Ar_4
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]", 0-5) = Ar_5
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]", 0-6) = Ar_6
	S("l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 1)) [ Ar_6 > 0 ]", 0-0) = Ar_0
	S("l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 1)) [ Ar_6 > 0 ]", 0-1) = Ar_1 + Ar_3
	S("l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 1)) [ Ar_6 > 0 ]", 0-2) = Ar_0 + Ar_2
	S("l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 1)) [ Ar_6 > 0 ]", 0-3) = Ar_1 + Ar_3
	S("l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 1)) [ Ar_6 > 0 ]", 0-4) = Ar_0
	S("l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 1)) [ Ar_6 > 0 ]", 0-5) = Ar_0 + Ar_1 + Ar_2 + Ar_3
	S("l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 1)) [ Ar_6 > 0 ]", 0-6) = ?
	S("l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-0) = Ar_0
	S("l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-1) = Ar_1 + Ar_3
	S("l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-2) = Ar_0 + Ar_2
	S("l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-3) = Ar_1 + Ar_3
	S("l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-4) = Ar_0
	S("l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-5) = Ar_0 + Ar_1 + Ar_2 + Ar_3
	S("l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-6) = ?
	S("l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4, Ar_5, Ar_6))", 0-0) = Ar_0
	S("l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4, Ar_5, Ar_6))", 0-1) = Ar_1 + Ar_3
	S("l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4, Ar_5, Ar_6))", 0-2) = Ar_0 + Ar_2
	S("l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4, Ar_5, Ar_6))", 0-3) = Ar_1 + Ar_3
	S("l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4, Ar_5, Ar_6))", 0-4) = Ar_0
	S("l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4, Ar_5, Ar_6))", 0-5) = Ar_0 + Ar_1 + Ar_2 + Ar_3
	S("l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4, Ar_5, Ar_6))", 0-6) = ?
	S("l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_3, Ar_0, Ar_3, Ar_4, Ar_5, Ar_6))", 0-0) = Ar_0
	S("l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_3, Ar_0, Ar_3, Ar_4, Ar_5, Ar_6))", 0-1) = Ar_1 + Ar_3
	S("l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_3, Ar_0, Ar_3, Ar_4, Ar_5, Ar_6))", 0-2) = Ar_0
	S("l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_3, Ar_0, Ar_3, Ar_4, Ar_5, Ar_6))", 0-3) = Ar_1 + Ar_3
	S("l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_3, Ar_0, Ar_3, Ar_4, Ar_5, Ar_6))", 0-4) = Ar_0
	S("l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_3, Ar_0, Ar_3, Ar_4, Ar_5, Ar_6))", 0-5) = Ar_0 + Ar_1 + Ar_2 + Ar_3
	S("l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_3, Ar_0, Ar_3, Ar_4, Ar_5, Ar_6))", 0-6) = ?
	S("l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 - 1, Ar_6)) [ Ar_5 > 0 ]", 0-0) = Ar_0
	S("l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 - 1, Ar_6)) [ Ar_5 > 0 ]", 0-1) = Ar_1 + Ar_3
	S("l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 - 1, Ar_6)) [ Ar_5 > 0 ]", 0-2) = Ar_0 + Ar_2
	S("l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 - 1, Ar_6)) [ Ar_5 > 0 ]", 0-3) = Ar_1 + Ar_3
	S("l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 - 1, Ar_6)) [ Ar_5 > 0 ]", 0-4) = Ar_0
	S("l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 - 1, Ar_6)) [ Ar_5 > 0 ]", 0-5) = Ar_0 + Ar_1 + Ar_2 + Ar_3
	S("l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 - 1, Ar_6)) [ Ar_5 > 0 ]", 0-6) = ?
	S("l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_4 > 0 ]", 0-0) = Ar_0
	S("l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_4 > 0 ]", 0-1) = Ar_1 + Ar_3
	S("l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_4 > 0 ]", 0-2) = Ar_0 + Ar_2
	S("l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_4 > 0 ]", 0-3) = Ar_1 + Ar_3
	S("l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_4 > 0 ]", 0-4) = Ar_0
	S("l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_4 > 0 ]", 0-5) = Ar_0 + Ar_1 + Ar_2 + Ar_3
	S("l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_4 > 0 ]", 0-6) = ?
	S("l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, 0, 0))", 0-0) = Ar_0
	S("l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, 0, 0))", 0-1) = Ar_1
	S("l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, 0, 0))", 0-2) = Ar_2
	S("l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, 0, 0))", 0-3) = Ar_3
	S("l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, 0, 0))", 0-4) = Ar_0
	S("l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, 0, 0))", 0-5) = 0
	S("l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, 0, 0))", 0-6) = 0
orients the transitions
	l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 1)) [ Ar_6 > 0 ]
	l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_3, Ar_0, Ar_3, Ar_4, Ar_5, Ar_6))
	l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 - 1, Ar_6)) [ Ar_5 > 0 ]
	l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4, Ar_5, Ar_6))
weakly and the transition
	l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4, Ar_5, Ar_6))
strictly and produces the following problem:
5:	T:
		(Comp: 1, Cost: 1)       l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, 0, 0))
		(Comp: Ar_0, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_4 > 0 ]
		(Comp: ?, Cost: 1)       l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 - 1, Ar_6)) [ Ar_5 > 0 ]
		(Comp: ?, Cost: 1)       l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_3, Ar_0, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: Ar_0, Cost: 1)    l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)       l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)       l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 1)) [ Ar_6 > 0 ]
		(Comp: 1, Cost: 0)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Applied AI with 'oct' on problem 5 to obtain the following invariants:
  For symbol l1: X_1 - X_5 >= 0
  For symbol l2: X_1 - X_5 - 1 >= 0 /\ X_5 >= 0 /\ X_1 + X_5 - 1 >= 0 /\ X_1 - 1 >= 0
  For symbol l3: X_6 >= 0 /\ X_5 + X_6 >= 0 /\ X_1 + X_6 - 1 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_5 >= 0 /\ X_1 + X_5 - 1 >= 0 /\ X_1 - 1 >= 0
  For symbol l5: X_1 - X_5 - 1 >= 0 /\ X_5 >= 0 /\ X_1 + X_5 - 1 >= 0 /\ X_1 - 1 >= 0


This yielded the following problem:
6:	T:
		(Comp: 1, Cost: 0)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
		(Comp: ?, Cost: 1)       l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 1)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 ]
		(Comp: 1, Cost: 1)       l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 ]
		(Comp: Ar_0, Cost: 1)    l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4, Ar_5, Ar_6)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 ]
		(Comp: ?, Cost: 1)       l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_3, Ar_0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_0 + Ar_5 - 1 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 ]
		(Comp: ?, Cost: 1)       l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 - 1, Ar_6)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_5 > 0 ]
		(Comp: Ar_0, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_0 - Ar_4 >= 0 /\ Ar_4 > 0 ]
		(Comp: 1, Cost: 1)       l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, 0, 0))
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ] with all transitions in problem 6, the following new transition is obtained:
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, 0, 0)) [ 0 <= 0 ]
We thus obtain the following problem:
7:	T:
		(Comp: 1, Cost: 1)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, 0, 0)) [ 0 <= 0 ]
		(Comp: ?, Cost: 1)       l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 1)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 ]
		(Comp: 1, Cost: 1)       l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 ]
		(Comp: Ar_0, Cost: 1)    l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4, Ar_5, Ar_6)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 ]
		(Comp: ?, Cost: 1)       l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_3, Ar_0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_0 + Ar_5 - 1 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 ]
		(Comp: ?, Cost: 1)       l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 - 1, Ar_6)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_5 > 0 ]
		(Comp: Ar_0, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_0 - Ar_4 >= 0 /\ Ar_4 > 0 ]
		(Comp: 1, Cost: 1)       l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, 0, 0))
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 7:
	l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, 0, 0))
We thus obtain the following problem:
8:	T:
		(Comp: ?, Cost: 1)       l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_3, Ar_0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_0 + Ar_5 - 1 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 ]
		(Comp: ?, Cost: 1)       l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 1)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 ]
		(Comp: ?, Cost: 1)       l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 - 1, Ar_6)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_5 > 0 ]
		(Comp: Ar_0, Cost: 1)    l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4, Ar_5, Ar_6)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 ]
		(Comp: 1, Cost: 1)       l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 ]
		(Comp: Ar_0, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_0 - Ar_4 >= 0 /\ Ar_4 > 0 ]
		(Comp: 1, Cost: 1)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, 0, 0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 - 1, Ar_6)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_5 > 0 ] with all transitions in problem 8, the following new transition is obtained:
	l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_3, Ar_0, Ar_3, Ar_4, Ar_5 - 1, Ar_6)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_5 > 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 ]
We thus obtain the following problem:
9:	T:
		(Comp: ?, Cost: 2)       l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_3, Ar_0, Ar_3, Ar_4, Ar_5 - 1, Ar_6)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_5 > 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 ]
		(Comp: ?, Cost: 1)       l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_3, Ar_0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_0 + Ar_5 - 1 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 ]
		(Comp: ?, Cost: 1)       l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 1)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 ]
		(Comp: Ar_0, Cost: 1)    l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4, Ar_5, Ar_6)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 ]
		(Comp: 1, Cost: 1)       l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 ]
		(Comp: Ar_0, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_0 - Ar_4 >= 0 /\ Ar_4 > 0 ]
		(Comp: 1, Cost: 1)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, 0, 0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 9:
	l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_3, Ar_0, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= 0 /\ Ar_4 + Ar_5 >= 0 /\ Ar_0 + Ar_5 - 1 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 ]
We thus obtain the following problem:
10:	T:
		(Comp: ?, Cost: 1)       l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 1)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 ]
		(Comp: ?, Cost: 2)       l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_3, Ar_0, Ar_3, Ar_4, Ar_5 - 1, Ar_6)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_5 > 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 ]
		(Comp: Ar_0, Cost: 1)    l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4, Ar_5, Ar_6)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 ]
		(Comp: 1, Cost: 1)       l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 ]
		(Comp: Ar_0, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_0 - Ar_4 >= 0 /\ Ar_4 > 0 ]
		(Comp: 1, Cost: 1)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, 0, 0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4, Ar_5, Ar_6)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 ] with all transitions in problem 10, the following new transition is obtained:
	l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 > 0 ]
We thus obtain the following problem:
11:	T:
		(Comp: Ar_0, Cost: 2)    l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 > 0 ]
		(Comp: ?, Cost: 1)       l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 1)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 ]
		(Comp: ?, Cost: 2)       l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_3, Ar_0, Ar_3, Ar_4, Ar_5 - 1, Ar_6)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_5 > 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 ]
		(Comp: 1, Cost: 1)       l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 ]
		(Comp: Ar_0, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_0 - Ar_4 >= 0 /\ Ar_4 > 0 ]
		(Comp: 1, Cost: 1)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, 0, 0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 ] with all transitions in problem 11, the following new transition is obtained:
	l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 1)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 ]
We thus obtain the following problem:
12:	T:
		(Comp: 1, Cost: 2)       l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 1)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 ]
		(Comp: Ar_0, Cost: 2)    l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 > 0 ]
		(Comp: ?, Cost: 1)       l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 1)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 ]
		(Comp: ?, Cost: 2)       l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_3, Ar_0, Ar_3, Ar_4, Ar_5 - 1, Ar_6)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_5 > 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 ]
		(Comp: Ar_0, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_0 - Ar_4 >= 0 /\ Ar_4 > 0 ]
		(Comp: 1, Cost: 1)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, 0, 0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 1)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 ] with all transitions in problem 12, the following new transition is obtained:
	l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 2)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 /\ Ar_6 - 1 > 0 ]
We thus obtain the following problem:
13:	T:
		(Comp: 1, Cost: 3)       l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 2)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 /\ Ar_6 - 1 > 0 ]
		(Comp: Ar_0, Cost: 2)    l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 > 0 ]
		(Comp: ?, Cost: 1)       l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 1)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 ]
		(Comp: ?, Cost: 2)       l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_3, Ar_0, Ar_3, Ar_4, Ar_5 - 1, Ar_6)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_5 > 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 ]
		(Comp: Ar_0, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_0 - Ar_4 >= 0 /\ Ar_4 > 0 ]
		(Comp: 1, Cost: 1)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, 0, 0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 2)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 /\ Ar_6 - 1 > 0 ] with all transitions in problem 13, the following new transition is obtained:
	l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 3)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 /\ Ar_6 - 1 > 0 /\ Ar_6 - 2 > 0 ]
We thus obtain the following problem:
14:	T:
		(Comp: 1, Cost: 4)       l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 3)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 /\ Ar_6 - 1 > 0 /\ Ar_6 - 2 > 0 ]
		(Comp: Ar_0, Cost: 2)    l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 > 0 ]
		(Comp: ?, Cost: 1)       l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 1)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 ]
		(Comp: ?, Cost: 2)       l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_3, Ar_0, Ar_3, Ar_4, Ar_5 - 1, Ar_6)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_5 > 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 ]
		(Comp: Ar_0, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_0 - Ar_4 >= 0 /\ Ar_4 > 0 ]
		(Comp: 1, Cost: 1)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, 0, 0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 3)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 /\ Ar_6 - 1 > 0 /\ Ar_6 - 2 > 0 ] with all transitions in problem 14, the following new transition is obtained:
	l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 4)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 /\ Ar_6 - 1 > 0 /\ Ar_6 - 2 > 0 /\ Ar_6 - 3 > 0 ]
We thus obtain the following problem:
15:	T:
		(Comp: 1, Cost: 5)       l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 4)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 /\ Ar_6 - 1 > 0 /\ Ar_6 - 2 > 0 /\ Ar_6 - 3 > 0 ]
		(Comp: Ar_0, Cost: 2)    l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 > 0 ]
		(Comp: ?, Cost: 1)       l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 1)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 ]
		(Comp: ?, Cost: 2)       l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_3, Ar_0, Ar_3, Ar_4, Ar_5 - 1, Ar_6)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_5 > 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 ]
		(Comp: Ar_0, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_0 - Ar_4 >= 0 /\ Ar_4 > 0 ]
		(Comp: 1, Cost: 1)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, 0, 0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 4)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 /\ Ar_6 - 1 > 0 /\ Ar_6 - 2 > 0 /\ Ar_6 - 3 > 0 ] with all transitions in problem 15, the following new transition is obtained:
	l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 5)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 /\ Ar_6 - 1 > 0 /\ Ar_6 - 2 > 0 /\ Ar_6 - 3 > 0 /\ Ar_6 - 4 > 0 ]
We thus obtain the following problem:
16:	T:
		(Comp: 1, Cost: 6)       l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 5)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 /\ Ar_6 - 1 > 0 /\ Ar_6 - 2 > 0 /\ Ar_6 - 3 > 0 /\ Ar_6 - 4 > 0 ]
		(Comp: Ar_0, Cost: 2)    l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 > 0 ]
		(Comp: ?, Cost: 1)       l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 1)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 ]
		(Comp: ?, Cost: 2)       l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_3, Ar_0, Ar_3, Ar_4, Ar_5 - 1, Ar_6)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_5 > 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 ]
		(Comp: Ar_0, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_0 - Ar_4 >= 0 /\ Ar_4 > 0 ]
		(Comp: 1, Cost: 1)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, 0, 0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 5)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 /\ Ar_6 - 1 > 0 /\ Ar_6 - 2 > 0 /\ Ar_6 - 3 > 0 /\ Ar_6 - 4 > 0 ] with all transitions in problem 16, the following new transition is obtained:
	l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 6)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 /\ Ar_6 - 1 > 0 /\ Ar_6 - 2 > 0 /\ Ar_6 - 3 > 0 /\ Ar_6 - 4 > 0 /\ Ar_6 - 5 > 0 ]
We thus obtain the following problem:
17:	T:
		(Comp: 1, Cost: 7)       l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 6)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 /\ Ar_6 - 1 > 0 /\ Ar_6 - 2 > 0 /\ Ar_6 - 3 > 0 /\ Ar_6 - 4 > 0 /\ Ar_6 - 5 > 0 ]
		(Comp: Ar_0, Cost: 2)    l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 > 0 ]
		(Comp: ?, Cost: 1)       l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 1)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 ]
		(Comp: ?, Cost: 2)       l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_3, Ar_0, Ar_3, Ar_4, Ar_5 - 1, Ar_6)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_5 > 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 ]
		(Comp: Ar_0, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_0 - Ar_4 >= 0 /\ Ar_4 > 0 ]
		(Comp: 1, Cost: 1)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, 0, 0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 6)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 /\ Ar_6 - 1 > 0 /\ Ar_6 - 2 > 0 /\ Ar_6 - 3 > 0 /\ Ar_6 - 4 > 0 /\ Ar_6 - 5 > 0 ] with all transitions in problem 17, the following new transition is obtained:
	l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 7)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 /\ Ar_6 - 1 > 0 /\ Ar_6 - 2 > 0 /\ Ar_6 - 3 > 0 /\ Ar_6 - 4 > 0 /\ Ar_6 - 5 > 0 /\ Ar_6 - 6 > 0 ]
We thus obtain the following problem:
18:	T:
		(Comp: 1, Cost: 8)       l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 7)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 /\ Ar_6 - 1 > 0 /\ Ar_6 - 2 > 0 /\ Ar_6 - 3 > 0 /\ Ar_6 - 4 > 0 /\ Ar_6 - 5 > 0 /\ Ar_6 - 6 > 0 ]
		(Comp: Ar_0, Cost: 2)    l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 > 0 ]
		(Comp: ?, Cost: 1)       l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 1)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 ]
		(Comp: ?, Cost: 2)       l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_3, Ar_0, Ar_3, Ar_4, Ar_5 - 1, Ar_6)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_5 > 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 ]
		(Comp: Ar_0, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_0 - Ar_4 >= 0 /\ Ar_4 > 0 ]
		(Comp: 1, Cost: 1)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, 0, 0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 7)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 /\ Ar_6 - 1 > 0 /\ Ar_6 - 2 > 0 /\ Ar_6 - 3 > 0 /\ Ar_6 - 4 > 0 /\ Ar_6 - 5 > 0 /\ Ar_6 - 6 > 0 ] with all transitions in problem 18, the following new transition is obtained:
	l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 8)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 /\ Ar_6 - 1 > 0 /\ Ar_6 - 2 > 0 /\ Ar_6 - 3 > 0 /\ Ar_6 - 4 > 0 /\ Ar_6 - 5 > 0 /\ Ar_6 - 6 > 0 /\ Ar_6 - 7 > 0 ]
We thus obtain the following problem:
19:	T:
		(Comp: 1, Cost: 9)       l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 8)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 /\ Ar_6 - 1 > 0 /\ Ar_6 - 2 > 0 /\ Ar_6 - 3 > 0 /\ Ar_6 - 4 > 0 /\ Ar_6 - 5 > 0 /\ Ar_6 - 6 > 0 /\ Ar_6 - 7 > 0 ]
		(Comp: Ar_0, Cost: 2)    l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 > 0 ]
		(Comp: ?, Cost: 1)       l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 1)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 ]
		(Comp: ?, Cost: 2)       l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_3, Ar_0, Ar_3, Ar_4, Ar_5 - 1, Ar_6)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_5 > 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 ]
		(Comp: Ar_0, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_0 - Ar_4 >= 0 /\ Ar_4 > 0 ]
		(Comp: 1, Cost: 1)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, 0, 0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 8)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 /\ Ar_6 - 1 > 0 /\ Ar_6 - 2 > 0 /\ Ar_6 - 3 > 0 /\ Ar_6 - 4 > 0 /\ Ar_6 - 5 > 0 /\ Ar_6 - 6 > 0 /\ Ar_6 - 7 > 0 ] with all transitions in problem 19, the following new transition is obtained:
	l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 9)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 /\ Ar_6 - 1 > 0 /\ Ar_6 - 2 > 0 /\ Ar_6 - 3 > 0 /\ Ar_6 - 4 > 0 /\ Ar_6 - 5 > 0 /\ Ar_6 - 6 > 0 /\ Ar_6 - 7 > 0 /\ Ar_6 - 8 > 0 ]
We thus obtain the following problem:
20:	T:
		(Comp: 1, Cost: 10)      l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 9)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 /\ Ar_6 - 1 > 0 /\ Ar_6 - 2 > 0 /\ Ar_6 - 3 > 0 /\ Ar_6 - 4 > 0 /\ Ar_6 - 5 > 0 /\ Ar_6 - 6 > 0 /\ Ar_6 - 7 > 0 /\ Ar_6 - 8 > 0 ]
		(Comp: Ar_0, Cost: 2)    l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 > 0 ]
		(Comp: ?, Cost: 1)       l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 1)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 ]
		(Comp: ?, Cost: 2)       l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_3, Ar_0, Ar_3, Ar_4, Ar_5 - 1, Ar_6)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_5 > 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 ]
		(Comp: Ar_0, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_0 - Ar_4 >= 0 /\ Ar_4 > 0 ]
		(Comp: 1, Cost: 1)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, 0, 0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 9)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 /\ Ar_6 - 1 > 0 /\ Ar_6 - 2 > 0 /\ Ar_6 - 3 > 0 /\ Ar_6 - 4 > 0 /\ Ar_6 - 5 > 0 /\ Ar_6 - 6 > 0 /\ Ar_6 - 7 > 0 /\ Ar_6 - 8 > 0 ] with all transitions in problem 20, the following new transition is obtained:
	l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 10)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 /\ Ar_6 - 1 > 0 /\ Ar_6 - 2 > 0 /\ Ar_6 - 3 > 0 /\ Ar_6 - 4 > 0 /\ Ar_6 - 5 > 0 /\ Ar_6 - 6 > 0 /\ Ar_6 - 7 > 0 /\ Ar_6 - 8 > 0 /\ Ar_6 - 9 > 0 ]
We thus obtain the following problem:
21:	T:
		(Comp: 1, Cost: 11)      l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 10)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 /\ Ar_6 - 1 > 0 /\ Ar_6 - 2 > 0 /\ Ar_6 - 3 > 0 /\ Ar_6 - 4 > 0 /\ Ar_6 - 5 > 0 /\ Ar_6 - 6 > 0 /\ Ar_6 - 7 > 0 /\ Ar_6 - 8 > 0 /\ Ar_6 - 9 > 0 ]
		(Comp: Ar_0, Cost: 2)    l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 > 0 ]
		(Comp: ?, Cost: 1)       l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 1)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 ]
		(Comp: ?, Cost: 2)       l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_3, Ar_0, Ar_3, Ar_4, Ar_5 - 1, Ar_6)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_5 > 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 ]
		(Comp: Ar_0, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_0 - Ar_4 >= 0 /\ Ar_4 > 0 ]
		(Comp: 1, Cost: 1)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, 0, 0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 10)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 /\ Ar_6 - 1 > 0 /\ Ar_6 - 2 > 0 /\ Ar_6 - 3 > 0 /\ Ar_6 - 4 > 0 /\ Ar_6 - 5 > 0 /\ Ar_6 - 6 > 0 /\ Ar_6 - 7 > 0 /\ Ar_6 - 8 > 0 /\ Ar_6 - 9 > 0 ] with all transitions in problem 21, the following new transition is obtained:
	l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 11)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 /\ Ar_6 - 1 > 0 /\ Ar_6 - 2 > 0 /\ Ar_6 - 3 > 0 /\ Ar_6 - 4 > 0 /\ Ar_6 - 5 > 0 /\ Ar_6 - 6 > 0 /\ Ar_6 - 7 > 0 /\ Ar_6 - 8 > 0 /\ Ar_6 - 9 > 0 /\ Ar_6 - 10 > 0 ]
We thus obtain the following problem:
22:	T:
		(Comp: 1, Cost: 12)      l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 11)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 /\ Ar_6 - 1 > 0 /\ Ar_6 - 2 > 0 /\ Ar_6 - 3 > 0 /\ Ar_6 - 4 > 0 /\ Ar_6 - 5 > 0 /\ Ar_6 - 6 > 0 /\ Ar_6 - 7 > 0 /\ Ar_6 - 8 > 0 /\ Ar_6 - 9 > 0 /\ Ar_6 - 10 > 0 ]
		(Comp: Ar_0, Cost: 2)    l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 > 0 ]
		(Comp: ?, Cost: 1)       l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 1)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 ]
		(Comp: ?, Cost: 2)       l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_3, Ar_0, Ar_3, Ar_4, Ar_5 - 1, Ar_6)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_5 > 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 ]
		(Comp: Ar_0, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_0 - Ar_4 >= 0 /\ Ar_4 > 0 ]
		(Comp: 1, Cost: 1)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, 0, 0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 11)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 /\ Ar_6 - 1 > 0 /\ Ar_6 - 2 > 0 /\ Ar_6 - 3 > 0 /\ Ar_6 - 4 > 0 /\ Ar_6 - 5 > 0 /\ Ar_6 - 6 > 0 /\ Ar_6 - 7 > 0 /\ Ar_6 - 8 > 0 /\ Ar_6 - 9 > 0 /\ Ar_6 - 10 > 0 ] with all transitions in problem 22, the following new transition is obtained:
	l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 12)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 /\ Ar_6 - 1 > 0 /\ Ar_6 - 2 > 0 /\ Ar_6 - 3 > 0 /\ Ar_6 - 4 > 0 /\ Ar_6 - 5 > 0 /\ Ar_6 - 6 > 0 /\ Ar_6 - 7 > 0 /\ Ar_6 - 8 > 0 /\ Ar_6 - 9 > 0 /\ Ar_6 - 10 > 0 /\ Ar_6 - 11 > 0 ]
We thus obtain the following problem:
23:	T:
		(Comp: 1, Cost: 13)      l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 12)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 /\ Ar_6 - 1 > 0 /\ Ar_6 - 2 > 0 /\ Ar_6 - 3 > 0 /\ Ar_6 - 4 > 0 /\ Ar_6 - 5 > 0 /\ Ar_6 - 6 > 0 /\ Ar_6 - 7 > 0 /\ Ar_6 - 8 > 0 /\ Ar_6 - 9 > 0 /\ Ar_6 - 10 > 0 /\ Ar_6 - 11 > 0 ]
		(Comp: Ar_0, Cost: 2)    l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 > 0 ]
		(Comp: ?, Cost: 1)       l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6 - 1)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 > 0 ]
		(Comp: ?, Cost: 2)       l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_3, Ar_0, Ar_3, Ar_4, Ar_5 - 1, Ar_6)) [ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_5 > 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 ]
		(Comp: Ar_0, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - 1, Ar_1 + Ar_2, Ar_6 + Ar_4^2)) [ Ar_0 - Ar_4 >= 0 /\ Ar_4 > 0 ]
		(Comp: 1, Cost: 1)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, 0, 0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound ?

Time: 0.678 sec (SMT: 0.518 sec)
