
Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 /\ Ar_3 > 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l2(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ -5 <= Ar_3 /\ Ar_3 <= 5 ]
		(Comp: ?, Cost: 1)    l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 ]
		(Comp: ?, Cost: 1)    l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 < 0 ]
		(Comp: ?, Cost: 1)    l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 > 0 ]
		(Comp: ?, Cost: 1)    l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4))
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))
		(Comp: ?, Cost: 1)    l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 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) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 /\ Ar_3 > 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l2(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ -5 <= Ar_3 /\ Ar_3 <= 5 ]
		(Comp: ?, Cost: 1)    l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 ]
		(Comp: ?, Cost: 1)    l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 < 0 ]
		(Comp: ?, Cost: 1)    l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 > 0 ]
		(Comp: ?, Cost: 1)    l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4))
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))
		(Comp: ?, Cost: 1)    l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(l0) = 1
	Pol(l1) = 1
	Pol(l3) = 1
	Pol(l2) = 1
	Pol(l4) = 0
	Pol(koat_start) = 1
orients all transitions weakly and the transition
	l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))
strictly and produces the following problem:
3:	T:
		(Comp: 1, Cost: 1)    l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 /\ Ar_3 > 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l2(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ -5 <= Ar_3 /\ Ar_3 <= 5 ]
		(Comp: ?, Cost: 1)    l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 ]
		(Comp: ?, Cost: 1)    l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 < 0 ]
		(Comp: ?, Cost: 1)    l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 > 0 ]
		(Comp: ?, Cost: 1)    l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4))
		(Comp: 1, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))
		(Comp: ?, Cost: 1)    l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(l0) = V_1 + 1
	Pol(l1) = V_1 + 1
	Pol(l3) = V_1
	Pol(l2) = V_1 + 1
	Pol(l4) = V_1
	Pol(koat_start) = V_1 + 1
orients all transitions weakly and the transitions
	l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 ]
	l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 /\ Ar_3 > 0 ]
strictly and produces the following problem:
4:	T:
		(Comp: 1, Cost: 1)           l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))
		(Comp: Ar_0 + 1, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 /\ Ar_3 > 0 ]
		(Comp: ?, Cost: 1)           l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l2(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ -5 <= Ar_3 /\ Ar_3 <= 5 ]
		(Comp: Ar_0 + 1, Cost: 1)    l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 ]
		(Comp: ?, Cost: 1)           l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 < 0 ]
		(Comp: ?, Cost: 1)           l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 > 0 ]
		(Comp: ?, Cost: 1)           l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4))
		(Comp: 1, Cost: 1)           l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))
		(Comp: ?, Cost: 1)           l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ]
		(Comp: 1, Cost: 0)           koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(l4) = 0
	Pol(l3) = 2
	Pol(l1) = 1
	Pol(l2) = 0
and size complexities
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-0) = Ar_0
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-1) = Ar_1
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-2) = Ar_2
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-3) = Ar_3
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-4) = Ar_4
	S("l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ]", 0-0) = ?
	S("l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ]", 0-1) = ?
	S("l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ]", 0-2) = ?
	S("l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ]", 0-3) = Ar_3 + 5
	S("l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ]", 0-4) = Ar_4
	S("l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = ?
	S("l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = ?
	S("l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = ?
	S("l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 + 5
	S("l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4
	S("l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = ?
	S("l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = ?
	S("l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = ?
	S("l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 + 5
	S("l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4
	S("l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_1^2 + Ar_3^5 < Ar_2 /\\ Ar_1 > 0 ]", 0-0) = ?
	S("l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_1^2 + Ar_3^5 < Ar_2 /\\ Ar_1 > 0 ]", 0-1) = ?
	S("l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_1^2 + Ar_3^5 < Ar_2 /\\ Ar_1 > 0 ]", 0-2) = ?
	S("l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_1^2 + Ar_3^5 < Ar_2 /\\ Ar_1 > 0 ]", 0-3) = Ar_3 + 5
	S("l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_1^2 + Ar_3^5 < Ar_2 /\\ Ar_1 > 0 ]", 0-4) = Ar_4
	S("l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_1^2 + Ar_3^5 < Ar_2 /\\ Ar_1 < 0 ]", 0-0) = ?
	S("l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_1^2 + Ar_3^5 < Ar_2 /\\ Ar_1 < 0 ]", 0-1) = ?
	S("l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_1^2 + Ar_3^5 < Ar_2 /\\ Ar_1 < 0 ]", 0-2) = ?
	S("l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_1^2 + Ar_3^5 < Ar_2 /\\ Ar_1 < 0 ]", 0-3) = Ar_3 + 5
	S("l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_1^2 + Ar_3^5 < Ar_2 /\\ Ar_1 < 0 ]", 0-4) = Ar_4
	S("l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 ]", 0-0) = ?
	S("l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 ]", 0-1) = ?
	S("l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 ]", 0-2) = Ar_4
	S("l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 ]", 0-3) = 5
	S("l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 ]", 0-4) = Ar_4
	S("l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l2(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ -5 <= Ar_3 /\\ Ar_3 <= 5 ]", 0-0) = ?
	S("l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l2(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ -5 <= Ar_3 /\\ Ar_3 <= 5 ]", 0-1) = ?
	S("l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l2(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ -5 <= Ar_3 /\\ Ar_3 <= 5 ]", 0-2) = Ar_4
	S("l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l2(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ -5 <= Ar_3 /\\ Ar_3 <= 5 ]", 0-3) = 5
	S("l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l2(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ -5 <= Ar_3 /\\ Ar_3 <= 5 ]", 0-4) = Ar_4
	S("l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 /\\ Ar_3 > 0 ]", 0-0) = ?
	S("l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 /\\ Ar_3 > 0 ]", 0-1) = ?
	S("l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 /\\ Ar_3 > 0 ]", 0-2) = Ar_4
	S("l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 /\\ Ar_3 > 0 ]", 0-3) = Ar_3 + 5
	S("l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 /\\ Ar_3 > 0 ]", 0-4) = Ar_4
	S("l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0
	S("l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1
	S("l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2
	S("l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3
	S("l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4
orients the transitions
	l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ]
	l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 < 0 ]
	l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 > 0 ]
	l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4))
	l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l2(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ -5 <= Ar_3 /\ Ar_3 <= 5 ]
weakly and the transitions
	l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4))
	l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l2(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ -5 <= Ar_3 /\ Ar_3 <= 5 ]
strictly and produces the following problem:
5:	T:
		(Comp: 1, Cost: 1)             l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))
		(Comp: Ar_0 + 1, Cost: 1)      l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 /\ Ar_3 > 0 ]
		(Comp: 4*Ar_0 + 5, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l2(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ -5 <= Ar_3 /\ Ar_3 <= 5 ]
		(Comp: Ar_0 + 1, Cost: 1)      l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 ]
		(Comp: ?, Cost: 1)             l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 < 0 ]
		(Comp: ?, Cost: 1)             l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 > 0 ]
		(Comp: 4*Ar_0 + 5, Cost: 1)    l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4))
		(Comp: 1, Cost: 1)             l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))
		(Comp: ?, Cost: 1)             l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ]
		(Comp: 1, Cost: 0)             koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Applied AI with 'oct' on problem 5 to obtain the following invariants:
  For symbol l2: X_3 - X_5 >= 0 /\ -X_3 + X_5 >= 0 /\ -X_4 + 5 >= 0 /\ X_4 + 5 >= 0 /\ X_1 - X_2 >= 0 /\ -X_1 + X_2 >= 0
  For symbol l3: X_4 + 5 >= 0 /\ X_1 + X_4 + 4 >= 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) -> Com_1(l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
		(Comp: ?, Cost: 1)             l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ]
		(Comp: 1, Cost: 1)             l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))
		(Comp: 4*Ar_0 + 5, Cost: 1)    l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 ]
		(Comp: ?, Cost: 1)             l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 > 0 ]
		(Comp: ?, Cost: 1)             l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 < 0 ]
		(Comp: Ar_0 + 1, Cost: 1)      l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ -Ar_3 + 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 > 0 ]
		(Comp: 4*Ar_0 + 5, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l2(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ -5 <= Ar_3 /\ Ar_3 <= 5 ]
		(Comp: Ar_0 + 1, Cost: 1)      l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 /\ Ar_3 > 0 ]
		(Comp: 1, Cost: 1)             l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 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) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 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) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
		(Comp: ?, Cost: 1)             l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ]
		(Comp: 1, Cost: 1)             l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))
		(Comp: 4*Ar_0 + 5, Cost: 1)    l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 ]
		(Comp: ?, Cost: 1)             l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 > 0 ]
		(Comp: ?, Cost: 1)             l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 < 0 ]
		(Comp: Ar_0 + 1, Cost: 1)      l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ -Ar_3 + 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 > 0 ]
		(Comp: 4*Ar_0 + 5, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l2(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ -5 <= Ar_3 /\ Ar_3 <= 5 ]
		(Comp: Ar_0 + 1, Cost: 1)      l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 /\ Ar_3 > 0 ]
		(Comp: 1, Cost: 1)             l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))
	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) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))
We thus obtain the following problem:
8:	T:
		(Comp: ?, Cost: 1)             l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 < 0 ]
		(Comp: ?, Cost: 1)             l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 > 0 ]
		(Comp: 4*Ar_0 + 5, Cost: 1)    l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 ]
		(Comp: Ar_0 + 1, Cost: 1)      l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ -Ar_3 + 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 > 0 ]
		(Comp: ?, Cost: 1)             l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ]
		(Comp: Ar_0 + 1, Cost: 1)      l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 /\ Ar_3 > 0 ]
		(Comp: 4*Ar_0 + 5, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l2(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ -5 <= Ar_3 /\ Ar_3 <= 5 ]
		(Comp: 1, Cost: 1)             l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))
		(Comp: 1, Cost: 1)             koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l2(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ -5 <= Ar_3 /\ Ar_3 <= 5 ] with all transitions in problem 8, the following new transition is obtained:
	l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ -5 <= Ar_3 /\ Ar_3 <= 5 /\ 0 >= 0 /\ -Ar_3 + 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 > 0 ]
We thus obtain the following problem:
9:	T:
		(Comp: 4*Ar_0 + 5, Cost: 2)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ -5 <= Ar_3 /\ Ar_3 <= 5 /\ 0 >= 0 /\ -Ar_3 + 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 > 0 ]
		(Comp: ?, Cost: 1)             l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 < 0 ]
		(Comp: ?, Cost: 1)             l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 > 0 ]
		(Comp: 4*Ar_0 + 5, Cost: 1)    l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 ]
		(Comp: Ar_0 + 1, Cost: 1)      l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ -Ar_3 + 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 > 0 ]
		(Comp: ?, Cost: 1)             l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ]
		(Comp: Ar_0 + 1, Cost: 1)      l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 /\ Ar_3 > 0 ]
		(Comp: 1, Cost: 1)             l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))
		(Comp: 1, Cost: 1)             koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 9:
	l2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ -Ar_3 + 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 > 0 ]
We thus obtain the following problem:
10:	T:
		(Comp: ?, Cost: 1)             l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 < 0 ]
		(Comp: ?, Cost: 1)             l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 > 0 ]
		(Comp: 4*Ar_0 + 5, Cost: 1)    l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 ]
		(Comp: ?, Cost: 1)             l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ]
		(Comp: 4*Ar_0 + 5, Cost: 2)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ -5 <= Ar_3 /\ Ar_3 <= 5 /\ 0 >= 0 /\ -Ar_3 + 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 > 0 ]
		(Comp: Ar_0 + 1, Cost: 1)      l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 /\ Ar_3 > 0 ]
		(Comp: 1, Cost: 1)             l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))
		(Comp: 1, Cost: 1)             koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) with all transitions in problem 10, the following new transition is obtained:
	l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ]
We thus obtain the following problem:
11:	T:
		(Comp: 1, Cost: 2)             l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ]
		(Comp: ?, Cost: 1)             l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 < 0 ]
		(Comp: ?, Cost: 1)             l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 > 0 ]
		(Comp: 4*Ar_0 + 5, Cost: 1)    l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 ]
		(Comp: ?, Cost: 1)             l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ]
		(Comp: 4*Ar_0 + 5, Cost: 2)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ -5 <= Ar_3 /\ Ar_3 <= 5 /\ 0 >= 0 /\ -Ar_3 + 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 > 0 ]
		(Comp: Ar_0 + 1, Cost: 1)      l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 /\ Ar_3 > 0 ]
		(Comp: 1, Cost: 1)             koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ] with all transitions in problem 11, the following new transition is obtained:
	l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 2, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 /\ Ar_1 - 1 > 0 ]
We thus obtain the following problem:
12:	T:
		(Comp: 1, Cost: 3)             l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 2, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 /\ Ar_1 - 1 > 0 ]
		(Comp: ?, Cost: 1)             l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 < 0 ]
		(Comp: ?, Cost: 1)             l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 > 0 ]
		(Comp: 4*Ar_0 + 5, Cost: 1)    l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 ]
		(Comp: ?, Cost: 1)             l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ]
		(Comp: 4*Ar_0 + 5, Cost: 2)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ -5 <= Ar_3 /\ Ar_3 <= 5 /\ 0 >= 0 /\ -Ar_3 + 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 > 0 ]
		(Comp: Ar_0 + 1, Cost: 1)      l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 /\ Ar_3 > 0 ]
		(Comp: 1, Cost: 1)             koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 2, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 /\ Ar_1 - 1 > 0 ] with all transitions in problem 12, the following new transition is obtained:
	l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 3, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 /\ Ar_1 - 1 > 0 /\ Ar_1 - 2 > 0 ]
We thus obtain the following problem:
13:	T:
		(Comp: 1, Cost: 4)             l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 3, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 /\ Ar_1 - 1 > 0 /\ Ar_1 - 2 > 0 ]
		(Comp: ?, Cost: 1)             l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 < 0 ]
		(Comp: ?, Cost: 1)             l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 > 0 ]
		(Comp: 4*Ar_0 + 5, Cost: 1)    l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 ]
		(Comp: ?, Cost: 1)             l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ]
		(Comp: 4*Ar_0 + 5, Cost: 2)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ -5 <= Ar_3 /\ Ar_3 <= 5 /\ 0 >= 0 /\ -Ar_3 + 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 > 0 ]
		(Comp: Ar_0 + 1, Cost: 1)      l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 /\ Ar_3 > 0 ]
		(Comp: 1, Cost: 1)             koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 3, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 /\ Ar_1 - 1 > 0 /\ Ar_1 - 2 > 0 ] with all transitions in problem 13, the following new transition is obtained:
	l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 4, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 /\ Ar_1 - 1 > 0 /\ Ar_1 - 2 > 0 /\ Ar_1 - 3 > 0 ]
We thus obtain the following problem:
14:	T:
		(Comp: 1, Cost: 5)             l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 4, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 /\ Ar_1 - 1 > 0 /\ Ar_1 - 2 > 0 /\ Ar_1 - 3 > 0 ]
		(Comp: ?, Cost: 1)             l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 < 0 ]
		(Comp: ?, Cost: 1)             l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 > 0 ]
		(Comp: 4*Ar_0 + 5, Cost: 1)    l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 ]
		(Comp: ?, Cost: 1)             l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ]
		(Comp: 4*Ar_0 + 5, Cost: 2)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ -5 <= Ar_3 /\ Ar_3 <= 5 /\ 0 >= 0 /\ -Ar_3 + 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 > 0 ]
		(Comp: Ar_0 + 1, Cost: 1)      l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 /\ Ar_3 > 0 ]
		(Comp: 1, Cost: 1)             koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 4, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 /\ Ar_1 - 1 > 0 /\ Ar_1 - 2 > 0 /\ Ar_1 - 3 > 0 ] with all transitions in problem 14, the following new transition is obtained:
	l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 5, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 /\ Ar_1 - 1 > 0 /\ Ar_1 - 2 > 0 /\ Ar_1 - 3 > 0 /\ Ar_1 - 4 > 0 ]
We thus obtain the following problem:
15:	T:
		(Comp: 1, Cost: 6)             l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 5, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 /\ Ar_1 - 1 > 0 /\ Ar_1 - 2 > 0 /\ Ar_1 - 3 > 0 /\ Ar_1 - 4 > 0 ]
		(Comp: ?, Cost: 1)             l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 < 0 ]
		(Comp: ?, Cost: 1)             l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 > 0 ]
		(Comp: 4*Ar_0 + 5, Cost: 1)    l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 ]
		(Comp: ?, Cost: 1)             l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ]
		(Comp: 4*Ar_0 + 5, Cost: 2)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ -5 <= Ar_3 /\ Ar_3 <= 5 /\ 0 >= 0 /\ -Ar_3 + 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 > 0 ]
		(Comp: Ar_0 + 1, Cost: 1)      l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 /\ Ar_3 > 0 ]
		(Comp: 1, Cost: 1)             koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 5, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 /\ Ar_1 - 1 > 0 /\ Ar_1 - 2 > 0 /\ Ar_1 - 3 > 0 /\ Ar_1 - 4 > 0 ] with all transitions in problem 15, the following new transition is obtained:
	l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 6, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 /\ Ar_1 - 1 > 0 /\ Ar_1 - 2 > 0 /\ Ar_1 - 3 > 0 /\ Ar_1 - 4 > 0 /\ Ar_1 - 5 > 0 ]
We thus obtain the following problem:
16:	T:
		(Comp: 1, Cost: 7)             l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 6, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 /\ Ar_1 - 1 > 0 /\ Ar_1 - 2 > 0 /\ Ar_1 - 3 > 0 /\ Ar_1 - 4 > 0 /\ Ar_1 - 5 > 0 ]
		(Comp: ?, Cost: 1)             l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 < 0 ]
		(Comp: ?, Cost: 1)             l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 > 0 ]
		(Comp: 4*Ar_0 + 5, Cost: 1)    l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 ]
		(Comp: ?, Cost: 1)             l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ]
		(Comp: 4*Ar_0 + 5, Cost: 2)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ -5 <= Ar_3 /\ Ar_3 <= 5 /\ 0 >= 0 /\ -Ar_3 + 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 > 0 ]
		(Comp: Ar_0 + 1, Cost: 1)      l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 /\ Ar_3 > 0 ]
		(Comp: 1, Cost: 1)             koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 6, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 /\ Ar_1 - 1 > 0 /\ Ar_1 - 2 > 0 /\ Ar_1 - 3 > 0 /\ Ar_1 - 4 > 0 /\ Ar_1 - 5 > 0 ] with all transitions in problem 16, the following new transition is obtained:
	l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 7, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 /\ Ar_1 - 1 > 0 /\ Ar_1 - 2 > 0 /\ Ar_1 - 3 > 0 /\ Ar_1 - 4 > 0 /\ Ar_1 - 5 > 0 /\ Ar_1 - 6 > 0 ]
We thus obtain the following problem:
17:	T:
		(Comp: 1, Cost: 8)             l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 7, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 /\ Ar_1 - 1 > 0 /\ Ar_1 - 2 > 0 /\ Ar_1 - 3 > 0 /\ Ar_1 - 4 > 0 /\ Ar_1 - 5 > 0 /\ Ar_1 - 6 > 0 ]
		(Comp: ?, Cost: 1)             l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 < 0 ]
		(Comp: ?, Cost: 1)             l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 > 0 ]
		(Comp: 4*Ar_0 + 5, Cost: 1)    l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 ]
		(Comp: ?, Cost: 1)             l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ]
		(Comp: 4*Ar_0 + 5, Cost: 2)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ -5 <= Ar_3 /\ Ar_3 <= 5 /\ 0 >= 0 /\ -Ar_3 + 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 > 0 ]
		(Comp: Ar_0 + 1, Cost: 1)      l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 /\ Ar_3 > 0 ]
		(Comp: 1, Cost: 1)             koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 7, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 /\ Ar_1 - 1 > 0 /\ Ar_1 - 2 > 0 /\ Ar_1 - 3 > 0 /\ Ar_1 - 4 > 0 /\ Ar_1 - 5 > 0 /\ Ar_1 - 6 > 0 ] with all transitions in problem 17, the following new transition is obtained:
	l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 8, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 /\ Ar_1 - 1 > 0 /\ Ar_1 - 2 > 0 /\ Ar_1 - 3 > 0 /\ Ar_1 - 4 > 0 /\ Ar_1 - 5 > 0 /\ Ar_1 - 6 > 0 /\ Ar_1 - 7 > 0 ]
We thus obtain the following problem:
18:	T:
		(Comp: 1, Cost: 9)             l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 8, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 /\ Ar_1 - 1 > 0 /\ Ar_1 - 2 > 0 /\ Ar_1 - 3 > 0 /\ Ar_1 - 4 > 0 /\ Ar_1 - 5 > 0 /\ Ar_1 - 6 > 0 /\ Ar_1 - 7 > 0 ]
		(Comp: ?, Cost: 1)             l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 < 0 ]
		(Comp: ?, Cost: 1)             l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 > 0 ]
		(Comp: 4*Ar_0 + 5, Cost: 1)    l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 ]
		(Comp: ?, Cost: 1)             l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ]
		(Comp: 4*Ar_0 + 5, Cost: 2)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ -5 <= Ar_3 /\ Ar_3 <= 5 /\ 0 >= 0 /\ -Ar_3 + 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 > 0 ]
		(Comp: Ar_0 + 1, Cost: 1)      l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 /\ Ar_3 > 0 ]
		(Comp: 1, Cost: 1)             koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 8, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 /\ Ar_1 - 1 > 0 /\ Ar_1 - 2 > 0 /\ Ar_1 - 3 > 0 /\ Ar_1 - 4 > 0 /\ Ar_1 - 5 > 0 /\ Ar_1 - 6 > 0 /\ Ar_1 - 7 > 0 ] with all transitions in problem 18, the following new transition is obtained:
	l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 9, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 /\ Ar_1 - 1 > 0 /\ Ar_1 - 2 > 0 /\ Ar_1 - 3 > 0 /\ Ar_1 - 4 > 0 /\ Ar_1 - 5 > 0 /\ Ar_1 - 6 > 0 /\ Ar_1 - 7 > 0 /\ Ar_1 - 8 > 0 ]
We thus obtain the following problem:
19:	T:
		(Comp: 1, Cost: 10)            l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 9, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 /\ Ar_1 - 1 > 0 /\ Ar_1 - 2 > 0 /\ Ar_1 - 3 > 0 /\ Ar_1 - 4 > 0 /\ Ar_1 - 5 > 0 /\ Ar_1 - 6 > 0 /\ Ar_1 - 7 > 0 /\ Ar_1 - 8 > 0 ]
		(Comp: ?, Cost: 1)             l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 < 0 ]
		(Comp: ?, Cost: 1)             l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 > 0 ]
		(Comp: 4*Ar_0 + 5, Cost: 1)    l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 ]
		(Comp: ?, Cost: 1)             l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ]
		(Comp: 4*Ar_0 + 5, Cost: 2)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ -5 <= Ar_3 /\ Ar_3 <= 5 /\ 0 >= 0 /\ -Ar_3 + 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 > 0 ]
		(Comp: Ar_0 + 1, Cost: 1)      l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 /\ Ar_3 > 0 ]
		(Comp: 1, Cost: 1)             koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 9, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 /\ Ar_1 - 1 > 0 /\ Ar_1 - 2 > 0 /\ Ar_1 - 3 > 0 /\ Ar_1 - 4 > 0 /\ Ar_1 - 5 > 0 /\ Ar_1 - 6 > 0 /\ Ar_1 - 7 > 0 /\ Ar_1 - 8 > 0 ] with all transitions in problem 19, the following new transition is obtained:
	l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 10, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 /\ Ar_1 - 1 > 0 /\ Ar_1 - 2 > 0 /\ Ar_1 - 3 > 0 /\ Ar_1 - 4 > 0 /\ Ar_1 - 5 > 0 /\ Ar_1 - 6 > 0 /\ Ar_1 - 7 > 0 /\ Ar_1 - 8 > 0 /\ Ar_1 - 9 > 0 ]
We thus obtain the following problem:
20:	T:
		(Comp: 1, Cost: 11)            l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 10, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 /\ Ar_1 - 1 > 0 /\ Ar_1 - 2 > 0 /\ Ar_1 - 3 > 0 /\ Ar_1 - 4 > 0 /\ Ar_1 - 5 > 0 /\ Ar_1 - 6 > 0 /\ Ar_1 - 7 > 0 /\ Ar_1 - 8 > 0 /\ Ar_1 - 9 > 0 ]
		(Comp: ?, Cost: 1)             l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 < 0 ]
		(Comp: ?, Cost: 1)             l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 > 0 ]
		(Comp: 4*Ar_0 + 5, Cost: 1)    l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 ]
		(Comp: ?, Cost: 1)             l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ]
		(Comp: 4*Ar_0 + 5, Cost: 2)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ -5 <= Ar_3 /\ Ar_3 <= 5 /\ 0 >= 0 /\ -Ar_3 + 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 > 0 ]
		(Comp: Ar_0 + 1, Cost: 1)      l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 /\ Ar_3 > 0 ]
		(Comp: 1, Cost: 1)             koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 10, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 /\ Ar_1 - 1 > 0 /\ Ar_1 - 2 > 0 /\ Ar_1 - 3 > 0 /\ Ar_1 - 4 > 0 /\ Ar_1 - 5 > 0 /\ Ar_1 - 6 > 0 /\ Ar_1 - 7 > 0 /\ Ar_1 - 8 > 0 /\ Ar_1 - 9 > 0 ] with all transitions in problem 20, the following new transition is obtained:
	l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 11, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 /\ Ar_1 - 1 > 0 /\ Ar_1 - 2 > 0 /\ Ar_1 - 3 > 0 /\ Ar_1 - 4 > 0 /\ Ar_1 - 5 > 0 /\ Ar_1 - 6 > 0 /\ Ar_1 - 7 > 0 /\ Ar_1 - 8 > 0 /\ Ar_1 - 9 > 0 /\ Ar_1 - 10 > 0 ]
We thus obtain the following problem:
21:	T:
		(Comp: 1, Cost: 12)            l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 11, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 /\ Ar_1 - 1 > 0 /\ Ar_1 - 2 > 0 /\ Ar_1 - 3 > 0 /\ Ar_1 - 4 > 0 /\ Ar_1 - 5 > 0 /\ Ar_1 - 6 > 0 /\ Ar_1 - 7 > 0 /\ Ar_1 - 8 > 0 /\ Ar_1 - 9 > 0 /\ Ar_1 - 10 > 0 ]
		(Comp: ?, Cost: 1)             l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 < 0 ]
		(Comp: ?, Cost: 1)             l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 > 0 ]
		(Comp: 4*Ar_0 + 5, Cost: 1)    l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 ]
		(Comp: ?, Cost: 1)             l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ]
		(Comp: 4*Ar_0 + 5, Cost: 2)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ -5 <= Ar_3 /\ Ar_3 <= 5 /\ 0 >= 0 /\ -Ar_3 + 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 > 0 ]
		(Comp: Ar_0 + 1, Cost: 1)      l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 /\ Ar_3 > 0 ]
		(Comp: 1, Cost: 1)             koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 11, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 /\ Ar_1 - 1 > 0 /\ Ar_1 - 2 > 0 /\ Ar_1 - 3 > 0 /\ Ar_1 - 4 > 0 /\ Ar_1 - 5 > 0 /\ Ar_1 - 6 > 0 /\ Ar_1 - 7 > 0 /\ Ar_1 - 8 > 0 /\ Ar_1 - 9 > 0 /\ Ar_1 - 10 > 0 ] with all transitions in problem 21, the following new transition is obtained:
	l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 12, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 /\ Ar_1 - 1 > 0 /\ Ar_1 - 2 > 0 /\ Ar_1 - 3 > 0 /\ Ar_1 - 4 > 0 /\ Ar_1 - 5 > 0 /\ Ar_1 - 6 > 0 /\ Ar_1 - 7 > 0 /\ Ar_1 - 8 > 0 /\ Ar_1 - 9 > 0 /\ Ar_1 - 10 > 0 /\ Ar_1 - 11 > 0 ]
We thus obtain the following problem:
22:	T:
		(Comp: 1, Cost: 13)            l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 12, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 /\ Ar_1 - 1 > 0 /\ Ar_1 - 2 > 0 /\ Ar_1 - 3 > 0 /\ Ar_1 - 4 > 0 /\ Ar_1 - 5 > 0 /\ Ar_1 - 6 > 0 /\ Ar_1 - 7 > 0 /\ Ar_1 - 8 > 0 /\ Ar_1 - 9 > 0 /\ Ar_1 - 10 > 0 /\ Ar_1 - 11 > 0 ]
		(Comp: ?, Cost: 1)             l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 < 0 ]
		(Comp: ?, Cost: 1)             l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 > 0 ]
		(Comp: 4*Ar_0 + 5, Cost: 1)    l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 ]
		(Comp: ?, Cost: 1)             l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ]
		(Comp: 4*Ar_0 + 5, Cost: 2)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ -5 <= Ar_3 /\ Ar_3 <= 5 /\ 0 >= 0 /\ -Ar_3 + 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 > 0 ]
		(Comp: Ar_0 + 1, Cost: 1)      l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 /\ Ar_3 > 0 ]
		(Comp: 1, Cost: 1)             koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 12, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 /\ Ar_1 - 1 > 0 /\ Ar_1 - 2 > 0 /\ Ar_1 - 3 > 0 /\ Ar_1 - 4 > 0 /\ Ar_1 - 5 > 0 /\ Ar_1 - 6 > 0 /\ Ar_1 - 7 > 0 /\ Ar_1 - 8 > 0 /\ Ar_1 - 9 > 0 /\ Ar_1 - 10 > 0 /\ Ar_1 - 11 > 0 ] with all transitions in problem 22, the following new transition is obtained:
	l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 13, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 /\ Ar_1 - 1 > 0 /\ Ar_1 - 2 > 0 /\ Ar_1 - 3 > 0 /\ Ar_1 - 4 > 0 /\ Ar_1 - 5 > 0 /\ Ar_1 - 6 > 0 /\ Ar_1 - 7 > 0 /\ Ar_1 - 8 > 0 /\ Ar_1 - 9 > 0 /\ Ar_1 - 10 > 0 /\ Ar_1 - 11 > 0 /\ Ar_1 - 12 > 0 ]
We thus obtain the following problem:
23:	T:
		(Comp: 1, Cost: 14)            l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 13, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 /\ Ar_1 - 1 > 0 /\ Ar_1 - 2 > 0 /\ Ar_1 - 3 > 0 /\ Ar_1 - 4 > 0 /\ Ar_1 - 5 > 0 /\ Ar_1 - 6 > 0 /\ Ar_1 - 7 > 0 /\ Ar_1 - 8 > 0 /\ Ar_1 - 9 > 0 /\ Ar_1 - 10 > 0 /\ Ar_1 - 11 > 0 /\ Ar_1 - 12 > 0 ]
		(Comp: ?, Cost: 1)             l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 < 0 ]
		(Comp: ?, Cost: 1)             l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, -2*Ar_1, 3*Ar_2 - 2*Ar_3^3, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1^2 + Ar_3^5 < Ar_2 /\ Ar_1 > 0 ]
		(Comp: 4*Ar_0 + 5, Cost: 1)    l3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0 - 1, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 + 5 >= 0 /\ Ar_0 + Ar_3 + 4 >= 0 /\ Ar_0 - 1 >= 0 ]
		(Comp: ?, Cost: 1)             l4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l4(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4)) [ Ar_1 > 0 ]
		(Comp: 4*Ar_0 + 5, Cost: 2)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ -5 <= Ar_3 /\ Ar_3 <= 5 /\ 0 >= 0 /\ -Ar_3 + 5 >= 0 /\ Ar_3 + 5 >= 0 /\ Ar_0 > 0 ]
		(Comp: Ar_0 + 1, Cost: 1)      l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l3(Ar_0, Ar_0, Ar_4, Ar_3, Ar_4)) [ Ar_0 > 0 /\ Ar_3 > 0 ]
		(Comp: 1, Cost: 1)             koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound ?

Time: 0.601 sec (SMT: 0.462 sec)
