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

Repeatedly propagating knowledge in problem 1 produces the following problem:
2:	T:
		(Comp: 1, Cost: 1)    l0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l1(0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l2(Ar_0, Ar_1, 0, 0)) [ Ar_1 > 0 ]
		(Comp: ?, Cost: 1)    l2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l2(Ar_0, Ar_1, Ar_2 + 1, Ar_3 + Ar_2)) [ Ar_2 < Ar_1 ]
		(Comp: ?, Cost: 1)    l2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l1(Ar_0 + Ar_3, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 <= 0 ]
		(Comp: ?, Cost: 1)    l3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 1, Ar_1, Ar_2, Ar_3)) [ Ar_0 > 0 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l0(Ar_0, Ar_1, Ar_2, Ar_3)) [ 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) = 0
	Pol(koat_start) = 1
orients all transitions weakly and the transition
	l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 <= 0 ]
strictly and produces the following problem:
3:	T:
		(Comp: 1, Cost: 1)    l0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l1(0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l2(Ar_0, Ar_1, 0, 0)) [ Ar_1 > 0 ]
		(Comp: ?, Cost: 1)    l2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l2(Ar_0, Ar_1, Ar_2 + 1, Ar_3 + Ar_2)) [ Ar_2 < Ar_1 ]
		(Comp: ?, Cost: 1)    l2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l1(Ar_0 + Ar_3, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_2 >= Ar_1 ]
		(Comp: 1, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 <= 0 ]
		(Comp: ?, Cost: 1)    l3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 1, Ar_1, Ar_2, Ar_3)) [ Ar_0 > 0 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l0(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(l0) = V_2 + 1
	Pol(l1) = V_2 + 1
	Pol(l2) = V_2
	Pol(l3) = V_2
	Pol(koat_start) = V_2 + 1
orients all transitions weakly and the transition
	l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l2(Ar_0, Ar_1, 0, 0)) [ Ar_1 > 0 ]
strictly and produces the following problem:
4:	T:
		(Comp: 1, Cost: 1)           l0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l1(0, Ar_1, Ar_2, Ar_3))
		(Comp: Ar_1 + 1, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l2(Ar_0, Ar_1, 0, 0)) [ Ar_1 > 0 ]
		(Comp: ?, Cost: 1)           l2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l2(Ar_0, Ar_1, Ar_2 + 1, Ar_3 + Ar_2)) [ Ar_2 < Ar_1 ]
		(Comp: ?, Cost: 1)           l2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l1(Ar_0 + Ar_3, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_2 >= Ar_1 ]
		(Comp: 1, Cost: 1)           l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 <= 0 ]
		(Comp: ?, Cost: 1)           l3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 1, Ar_1, Ar_2, Ar_3)) [ Ar_0 > 0 ]
		(Comp: 1, Cost: 0)           koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l0(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

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

Applied AI with 'oct' on problem 5 to obtain the following invariants:
  For symbol l1: X_1 >= 0
  For symbol l2: X_4 >= 0 /\ X_3 + X_4 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 1 >= 0 /\ X_1 >= 0
  For symbol l3: -X_2 >= 0 /\ X_1 - X_2 >= 0 /\ X_1 >= 0


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

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

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

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

By chaining the transition l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 1, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1 <= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 > 0 ] with all transitions in problem 10, the following new transition is obtained:
	l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 2, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1 <= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 > 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - 1 > 0 ]
We thus obtain the following problem:
11:	T:
		(Comp: 1, Cost: 3)           l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 2, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1 <= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 > 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - 1 > 0 ]
		(Comp: Ar_1 + 1, Cost: 2)    l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l2(Ar_0, Ar_1, 1, 0)) [ Ar_0 >= 0 /\ Ar_1 > 0 /\ 0 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ 0 < Ar_1 ]
		(Comp: Ar_1 + 1, Cost: 1)    l2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l1(Ar_0 + Ar_3, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)           l2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l2(Ar_0, Ar_1, Ar_2 + 1, Ar_3 + Ar_2)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 < Ar_1 ]
		(Comp: ?, Cost: 1)           l3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 1, Ar_1, Ar_2, Ar_3)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 > 0 ]
		(Comp: 1, Cost: 1)           koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l1(0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 2, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1 <= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 > 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - 1 > 0 ] with all transitions in problem 11, the following new transition is obtained:
	l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 3, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1 <= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 > 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - 1 > 0 /\ Ar_0 - Ar_1 - 2 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 - 2 > 0 ]
We thus obtain the following problem:
12:	T:
		(Comp: 1, Cost: 4)           l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 3, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1 <= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 > 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - 1 > 0 /\ Ar_0 - Ar_1 - 2 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 - 2 > 0 ]
		(Comp: Ar_1 + 1, Cost: 2)    l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l2(Ar_0, Ar_1, 1, 0)) [ Ar_0 >= 0 /\ Ar_1 > 0 /\ 0 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ 0 < Ar_1 ]
		(Comp: Ar_1 + 1, Cost: 1)    l2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l1(Ar_0 + Ar_3, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)           l2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l2(Ar_0, Ar_1, Ar_2 + 1, Ar_3 + Ar_2)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 < Ar_1 ]
		(Comp: ?, Cost: 1)           l3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 1, Ar_1, Ar_2, Ar_3)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 > 0 ]
		(Comp: 1, Cost: 1)           koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l1(0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 3, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1 <= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 > 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - 1 > 0 /\ Ar_0 - Ar_1 - 2 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 - 2 > 0 ] with all transitions in problem 12, the following new transition is obtained:
	l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 4, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1 <= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 > 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - 1 > 0 /\ Ar_0 - Ar_1 - 2 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 - 2 > 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 - 3 > 0 ]
We thus obtain the following problem:
13:	T:
		(Comp: 1, Cost: 5)           l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 4, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1 <= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 > 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - 1 > 0 /\ Ar_0 - Ar_1 - 2 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 - 2 > 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 - 3 > 0 ]
		(Comp: Ar_1 + 1, Cost: 2)    l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l2(Ar_0, Ar_1, 1, 0)) [ Ar_0 >= 0 /\ Ar_1 > 0 /\ 0 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ 0 < Ar_1 ]
		(Comp: Ar_1 + 1, Cost: 1)    l2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l1(Ar_0 + Ar_3, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)           l2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l2(Ar_0, Ar_1, Ar_2 + 1, Ar_3 + Ar_2)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 < Ar_1 ]
		(Comp: ?, Cost: 1)           l3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 1, Ar_1, Ar_2, Ar_3)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 > 0 ]
		(Comp: 1, Cost: 1)           koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l1(0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 4, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1 <= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 > 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - 1 > 0 /\ Ar_0 - Ar_1 - 2 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 - 2 > 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 - 3 > 0 ] with all transitions in problem 13, the following new transition is obtained:
	l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 5, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1 <= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 > 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - 1 > 0 /\ Ar_0 - Ar_1 - 2 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 - 2 > 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 - 3 > 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 /\ Ar_0 - 4 > 0 ]
We thus obtain the following problem:
14:	T:
		(Comp: 1, Cost: 6)           l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 5, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1 <= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 > 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - 1 > 0 /\ Ar_0 - Ar_1 - 2 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 - 2 > 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 - 3 > 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 /\ Ar_0 - 4 > 0 ]
		(Comp: Ar_1 + 1, Cost: 2)    l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l2(Ar_0, Ar_1, 1, 0)) [ Ar_0 >= 0 /\ Ar_1 > 0 /\ 0 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ 0 < Ar_1 ]
		(Comp: Ar_1 + 1, Cost: 1)    l2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l1(Ar_0 + Ar_3, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)           l2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l2(Ar_0, Ar_1, Ar_2 + 1, Ar_3 + Ar_2)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 < Ar_1 ]
		(Comp: ?, Cost: 1)           l3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 1, Ar_1, Ar_2, Ar_3)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 > 0 ]
		(Comp: 1, Cost: 1)           koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l1(0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 5, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1 <= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 > 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - 1 > 0 /\ Ar_0 - Ar_1 - 2 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 - 2 > 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 - 3 > 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 /\ Ar_0 - 4 > 0 ] with all transitions in problem 14, the following new transition is obtained:
	l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 6, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1 <= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 > 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - 1 > 0 /\ Ar_0 - Ar_1 - 2 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 - 2 > 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 - 3 > 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 /\ Ar_0 - 4 > 0 /\ Ar_0 - Ar_1 - 5 >= 0 /\ Ar_0 - 5 >= 0 /\ Ar_0 - 5 > 0 ]
We thus obtain the following problem:
15:	T:
		(Comp: 1, Cost: 7)           l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 6, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1 <= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 > 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - 1 > 0 /\ Ar_0 - Ar_1 - 2 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 - 2 > 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 - 3 > 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 /\ Ar_0 - 4 > 0 /\ Ar_0 - Ar_1 - 5 >= 0 /\ Ar_0 - 5 >= 0 /\ Ar_0 - 5 > 0 ]
		(Comp: Ar_1 + 1, Cost: 2)    l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l2(Ar_0, Ar_1, 1, 0)) [ Ar_0 >= 0 /\ Ar_1 > 0 /\ 0 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ 0 < Ar_1 ]
		(Comp: Ar_1 + 1, Cost: 1)    l2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l1(Ar_0 + Ar_3, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)           l2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l2(Ar_0, Ar_1, Ar_2 + 1, Ar_3 + Ar_2)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 < Ar_1 ]
		(Comp: ?, Cost: 1)           l3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 1, Ar_1, Ar_2, Ar_3)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 > 0 ]
		(Comp: 1, Cost: 1)           koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l1(0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 6, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1 <= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 > 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - 1 > 0 /\ Ar_0 - Ar_1 - 2 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 - 2 > 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 - 3 > 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 /\ Ar_0 - 4 > 0 /\ Ar_0 - Ar_1 - 5 >= 0 /\ Ar_0 - 5 >= 0 /\ Ar_0 - 5 > 0 ] with all transitions in problem 15, the following new transition is obtained:
	l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 7, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1 <= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 > 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - 1 > 0 /\ Ar_0 - Ar_1 - 2 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 - 2 > 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 - 3 > 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 /\ Ar_0 - 4 > 0 /\ Ar_0 - Ar_1 - 5 >= 0 /\ Ar_0 - 5 >= 0 /\ Ar_0 - 5 > 0 /\ Ar_0 - Ar_1 - 6 >= 0 /\ Ar_0 - 6 >= 0 /\ Ar_0 - 6 > 0 ]
We thus obtain the following problem:
16:	T:
		(Comp: 1, Cost: 8)           l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 7, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1 <= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 > 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - 1 > 0 /\ Ar_0 - Ar_1 - 2 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 - 2 > 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 - 3 > 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 /\ Ar_0 - 4 > 0 /\ Ar_0 - Ar_1 - 5 >= 0 /\ Ar_0 - 5 >= 0 /\ Ar_0 - 5 > 0 /\ Ar_0 - Ar_1 - 6 >= 0 /\ Ar_0 - 6 >= 0 /\ Ar_0 - 6 > 0 ]
		(Comp: Ar_1 + 1, Cost: 2)    l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l2(Ar_0, Ar_1, 1, 0)) [ Ar_0 >= 0 /\ Ar_1 > 0 /\ 0 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ 0 < Ar_1 ]
		(Comp: Ar_1 + 1, Cost: 1)    l2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l1(Ar_0 + Ar_3, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)           l2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l2(Ar_0, Ar_1, Ar_2 + 1, Ar_3 + Ar_2)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 < Ar_1 ]
		(Comp: ?, Cost: 1)           l3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 1, Ar_1, Ar_2, Ar_3)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 > 0 ]
		(Comp: 1, Cost: 1)           koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l1(0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 7, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1 <= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 > 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - 1 > 0 /\ Ar_0 - Ar_1 - 2 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 - 2 > 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 - 3 > 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 /\ Ar_0 - 4 > 0 /\ Ar_0 - Ar_1 - 5 >= 0 /\ Ar_0 - 5 >= 0 /\ Ar_0 - 5 > 0 /\ Ar_0 - Ar_1 - 6 >= 0 /\ Ar_0 - 6 >= 0 /\ Ar_0 - 6 > 0 ] with all transitions in problem 16, the following new transition is obtained:
	l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 8, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1 <= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 > 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - 1 > 0 /\ Ar_0 - Ar_1 - 2 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 - 2 > 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 - 3 > 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 /\ Ar_0 - 4 > 0 /\ Ar_0 - Ar_1 - 5 >= 0 /\ Ar_0 - 5 >= 0 /\ Ar_0 - 5 > 0 /\ Ar_0 - Ar_1 - 6 >= 0 /\ Ar_0 - 6 >= 0 /\ Ar_0 - 6 > 0 /\ Ar_0 - Ar_1 - 7 >= 0 /\ Ar_0 - 7 >= 0 /\ Ar_0 - 7 > 0 ]
We thus obtain the following problem:
17:	T:
		(Comp: 1, Cost: 9)           l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 8, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1 <= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 > 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - 1 > 0 /\ Ar_0 - Ar_1 - 2 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 - 2 > 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 - 3 > 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 /\ Ar_0 - 4 > 0 /\ Ar_0 - Ar_1 - 5 >= 0 /\ Ar_0 - 5 >= 0 /\ Ar_0 - 5 > 0 /\ Ar_0 - Ar_1 - 6 >= 0 /\ Ar_0 - 6 >= 0 /\ Ar_0 - 6 > 0 /\ Ar_0 - Ar_1 - 7 >= 0 /\ Ar_0 - 7 >= 0 /\ Ar_0 - 7 > 0 ]
		(Comp: Ar_1 + 1, Cost: 2)    l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l2(Ar_0, Ar_1, 1, 0)) [ Ar_0 >= 0 /\ Ar_1 > 0 /\ 0 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ 0 < Ar_1 ]
		(Comp: Ar_1 + 1, Cost: 1)    l2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l1(Ar_0 + Ar_3, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)           l2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l2(Ar_0, Ar_1, Ar_2 + 1, Ar_3 + Ar_2)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 < Ar_1 ]
		(Comp: ?, Cost: 1)           l3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 1, Ar_1, Ar_2, Ar_3)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 > 0 ]
		(Comp: 1, Cost: 1)           koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l1(0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 8, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1 <= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 > 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - 1 > 0 /\ Ar_0 - Ar_1 - 2 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 - 2 > 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 - 3 > 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 /\ Ar_0 - 4 > 0 /\ Ar_0 - Ar_1 - 5 >= 0 /\ Ar_0 - 5 >= 0 /\ Ar_0 - 5 > 0 /\ Ar_0 - Ar_1 - 6 >= 0 /\ Ar_0 - 6 >= 0 /\ Ar_0 - 6 > 0 /\ Ar_0 - Ar_1 - 7 >= 0 /\ Ar_0 - 7 >= 0 /\ Ar_0 - 7 > 0 ] with all transitions in problem 17, the following new transition is obtained:
	l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 9, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1 <= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 > 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - 1 > 0 /\ Ar_0 - Ar_1 - 2 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 - 2 > 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 - 3 > 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 /\ Ar_0 - 4 > 0 /\ Ar_0 - Ar_1 - 5 >= 0 /\ Ar_0 - 5 >= 0 /\ Ar_0 - 5 > 0 /\ Ar_0 - Ar_1 - 6 >= 0 /\ Ar_0 - 6 >= 0 /\ Ar_0 - 6 > 0 /\ Ar_0 - Ar_1 - 7 >= 0 /\ Ar_0 - 7 >= 0 /\ Ar_0 - 7 > 0 /\ Ar_0 - Ar_1 - 8 >= 0 /\ Ar_0 - 8 >= 0 /\ Ar_0 - 8 > 0 ]
We thus obtain the following problem:
18:	T:
		(Comp: 1, Cost: 10)          l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 9, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1 <= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 > 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - 1 > 0 /\ Ar_0 - Ar_1 - 2 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 - 2 > 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 - 3 > 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 /\ Ar_0 - 4 > 0 /\ Ar_0 - Ar_1 - 5 >= 0 /\ Ar_0 - 5 >= 0 /\ Ar_0 - 5 > 0 /\ Ar_0 - Ar_1 - 6 >= 0 /\ Ar_0 - 6 >= 0 /\ Ar_0 - 6 > 0 /\ Ar_0 - Ar_1 - 7 >= 0 /\ Ar_0 - 7 >= 0 /\ Ar_0 - 7 > 0 /\ Ar_0 - Ar_1 - 8 >= 0 /\ Ar_0 - 8 >= 0 /\ Ar_0 - 8 > 0 ]
		(Comp: Ar_1 + 1, Cost: 2)    l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l2(Ar_0, Ar_1, 1, 0)) [ Ar_0 >= 0 /\ Ar_1 > 0 /\ 0 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ 0 < Ar_1 ]
		(Comp: Ar_1 + 1, Cost: 1)    l2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l1(Ar_0 + Ar_3, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)           l2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l2(Ar_0, Ar_1, Ar_2 + 1, Ar_3 + Ar_2)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 < Ar_1 ]
		(Comp: ?, Cost: 1)           l3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 1, Ar_1, Ar_2, Ar_3)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 > 0 ]
		(Comp: 1, Cost: 1)           koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l1(0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 9, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1 <= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 > 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - 1 > 0 /\ Ar_0 - Ar_1 - 2 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 - 2 > 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 - 3 > 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 /\ Ar_0 - 4 > 0 /\ Ar_0 - Ar_1 - 5 >= 0 /\ Ar_0 - 5 >= 0 /\ Ar_0 - 5 > 0 /\ Ar_0 - Ar_1 - 6 >= 0 /\ Ar_0 - 6 >= 0 /\ Ar_0 - 6 > 0 /\ Ar_0 - Ar_1 - 7 >= 0 /\ Ar_0 - 7 >= 0 /\ Ar_0 - 7 > 0 /\ Ar_0 - Ar_1 - 8 >= 0 /\ Ar_0 - 8 >= 0 /\ Ar_0 - 8 > 0 ] with all transitions in problem 18, the following new transition is obtained:
	l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 10, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1 <= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 > 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - 1 > 0 /\ Ar_0 - Ar_1 - 2 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 - 2 > 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 - 3 > 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 /\ Ar_0 - 4 > 0 /\ Ar_0 - Ar_1 - 5 >= 0 /\ Ar_0 - 5 >= 0 /\ Ar_0 - 5 > 0 /\ Ar_0 - Ar_1 - 6 >= 0 /\ Ar_0 - 6 >= 0 /\ Ar_0 - 6 > 0 /\ Ar_0 - Ar_1 - 7 >= 0 /\ Ar_0 - 7 >= 0 /\ Ar_0 - 7 > 0 /\ Ar_0 - Ar_1 - 8 >= 0 /\ Ar_0 - 8 >= 0 /\ Ar_0 - 8 > 0 /\ Ar_0 - Ar_1 - 9 >= 0 /\ Ar_0 - 9 >= 0 /\ Ar_0 - 9 > 0 ]
We thus obtain the following problem:
19:	T:
		(Comp: 1, Cost: 11)          l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 10, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1 <= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 > 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - 1 > 0 /\ Ar_0 - Ar_1 - 2 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 - 2 > 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 - 3 > 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 /\ Ar_0 - 4 > 0 /\ Ar_0 - Ar_1 - 5 >= 0 /\ Ar_0 - 5 >= 0 /\ Ar_0 - 5 > 0 /\ Ar_0 - Ar_1 - 6 >= 0 /\ Ar_0 - 6 >= 0 /\ Ar_0 - 6 > 0 /\ Ar_0 - Ar_1 - 7 >= 0 /\ Ar_0 - 7 >= 0 /\ Ar_0 - 7 > 0 /\ Ar_0 - Ar_1 - 8 >= 0 /\ Ar_0 - 8 >= 0 /\ Ar_0 - 8 > 0 /\ Ar_0 - Ar_1 - 9 >= 0 /\ Ar_0 - 9 >= 0 /\ Ar_0 - 9 > 0 ]
		(Comp: Ar_1 + 1, Cost: 2)    l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l2(Ar_0, Ar_1, 1, 0)) [ Ar_0 >= 0 /\ Ar_1 > 0 /\ 0 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ 0 < Ar_1 ]
		(Comp: Ar_1 + 1, Cost: 1)    l2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l1(Ar_0 + Ar_3, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)           l2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l2(Ar_0, Ar_1, Ar_2 + 1, Ar_3 + Ar_2)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 < Ar_1 ]
		(Comp: ?, Cost: 1)           l3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 1, Ar_1, Ar_2, Ar_3)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 > 0 ]
		(Comp: 1, Cost: 1)           koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l1(0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 10, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1 <= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 > 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - 1 > 0 /\ Ar_0 - Ar_1 - 2 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 - 2 > 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 - 3 > 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 /\ Ar_0 - 4 > 0 /\ Ar_0 - Ar_1 - 5 >= 0 /\ Ar_0 - 5 >= 0 /\ Ar_0 - 5 > 0 /\ Ar_0 - Ar_1 - 6 >= 0 /\ Ar_0 - 6 >= 0 /\ Ar_0 - 6 > 0 /\ Ar_0 - Ar_1 - 7 >= 0 /\ Ar_0 - 7 >= 0 /\ Ar_0 - 7 > 0 /\ Ar_0 - Ar_1 - 8 >= 0 /\ Ar_0 - 8 >= 0 /\ Ar_0 - 8 > 0 /\ Ar_0 - Ar_1 - 9 >= 0 /\ Ar_0 - 9 >= 0 /\ Ar_0 - 9 > 0 ] with all transitions in problem 19, the following new transition is obtained:
	l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 11, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1 <= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 > 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - 1 > 0 /\ Ar_0 - Ar_1 - 2 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 - 2 > 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 - 3 > 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 /\ Ar_0 - 4 > 0 /\ Ar_0 - Ar_1 - 5 >= 0 /\ Ar_0 - 5 >= 0 /\ Ar_0 - 5 > 0 /\ Ar_0 - Ar_1 - 6 >= 0 /\ Ar_0 - 6 >= 0 /\ Ar_0 - 6 > 0 /\ Ar_0 - Ar_1 - 7 >= 0 /\ Ar_0 - 7 >= 0 /\ Ar_0 - 7 > 0 /\ Ar_0 - Ar_1 - 8 >= 0 /\ Ar_0 - 8 >= 0 /\ Ar_0 - 8 > 0 /\ Ar_0 - Ar_1 - 9 >= 0 /\ Ar_0 - 9 >= 0 /\ Ar_0 - 9 > 0 /\ Ar_0 - Ar_1 - 10 >= 0 /\ Ar_0 - 10 >= 0 /\ Ar_0 - 10 > 0 ]
We thus obtain the following problem:
20:	T:
		(Comp: 1, Cost: 12)          l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 11, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1 <= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 > 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - 1 > 0 /\ Ar_0 - Ar_1 - 2 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 - 2 > 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 - 3 > 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 /\ Ar_0 - 4 > 0 /\ Ar_0 - Ar_1 - 5 >= 0 /\ Ar_0 - 5 >= 0 /\ Ar_0 - 5 > 0 /\ Ar_0 - Ar_1 - 6 >= 0 /\ Ar_0 - 6 >= 0 /\ Ar_0 - 6 > 0 /\ Ar_0 - Ar_1 - 7 >= 0 /\ Ar_0 - 7 >= 0 /\ Ar_0 - 7 > 0 /\ Ar_0 - Ar_1 - 8 >= 0 /\ Ar_0 - 8 >= 0 /\ Ar_0 - 8 > 0 /\ Ar_0 - Ar_1 - 9 >= 0 /\ Ar_0 - 9 >= 0 /\ Ar_0 - 9 > 0 /\ Ar_0 - Ar_1 - 10 >= 0 /\ Ar_0 - 10 >= 0 /\ Ar_0 - 10 > 0 ]
		(Comp: Ar_1 + 1, Cost: 2)    l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l2(Ar_0, Ar_1, 1, 0)) [ Ar_0 >= 0 /\ Ar_1 > 0 /\ 0 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ 0 < Ar_1 ]
		(Comp: Ar_1 + 1, Cost: 1)    l2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l1(Ar_0 + Ar_3, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)           l2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l2(Ar_0, Ar_1, Ar_2 + 1, Ar_3 + Ar_2)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 < Ar_1 ]
		(Comp: ?, Cost: 1)           l3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 1, Ar_1, Ar_2, Ar_3)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 > 0 ]
		(Comp: 1, Cost: 1)           koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l1(0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 11, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1 <= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 > 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - 1 > 0 /\ Ar_0 - Ar_1 - 2 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 - 2 > 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 - 3 > 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 /\ Ar_0 - 4 > 0 /\ Ar_0 - Ar_1 - 5 >= 0 /\ Ar_0 - 5 >= 0 /\ Ar_0 - 5 > 0 /\ Ar_0 - Ar_1 - 6 >= 0 /\ Ar_0 - 6 >= 0 /\ Ar_0 - 6 > 0 /\ Ar_0 - Ar_1 - 7 >= 0 /\ Ar_0 - 7 >= 0 /\ Ar_0 - 7 > 0 /\ Ar_0 - Ar_1 - 8 >= 0 /\ Ar_0 - 8 >= 0 /\ Ar_0 - 8 > 0 /\ Ar_0 - Ar_1 - 9 >= 0 /\ Ar_0 - 9 >= 0 /\ Ar_0 - 9 > 0 /\ Ar_0 - Ar_1 - 10 >= 0 /\ Ar_0 - 10 >= 0 /\ Ar_0 - 10 > 0 ] with all transitions in problem 20, the following new transition is obtained:
	l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 12, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1 <= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 > 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - 1 > 0 /\ Ar_0 - Ar_1 - 2 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 - 2 > 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 - 3 > 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 /\ Ar_0 - 4 > 0 /\ Ar_0 - Ar_1 - 5 >= 0 /\ Ar_0 - 5 >= 0 /\ Ar_0 - 5 > 0 /\ Ar_0 - Ar_1 - 6 >= 0 /\ Ar_0 - 6 >= 0 /\ Ar_0 - 6 > 0 /\ Ar_0 - Ar_1 - 7 >= 0 /\ Ar_0 - 7 >= 0 /\ Ar_0 - 7 > 0 /\ Ar_0 - Ar_1 - 8 >= 0 /\ Ar_0 - 8 >= 0 /\ Ar_0 - 8 > 0 /\ Ar_0 - Ar_1 - 9 >= 0 /\ Ar_0 - 9 >= 0 /\ Ar_0 - 9 > 0 /\ Ar_0 - Ar_1 - 10 >= 0 /\ Ar_0 - 10 >= 0 /\ Ar_0 - 10 > 0 /\ Ar_0 - Ar_1 - 11 >= 0 /\ Ar_0 - 11 >= 0 /\ Ar_0 - 11 > 0 ]
We thus obtain the following problem:
21:	T:
		(Comp: 1, Cost: 13)          l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 12, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1 <= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 > 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - 1 > 0 /\ Ar_0 - Ar_1 - 2 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 - 2 > 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 - 3 > 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 /\ Ar_0 - 4 > 0 /\ Ar_0 - Ar_1 - 5 >= 0 /\ Ar_0 - 5 >= 0 /\ Ar_0 - 5 > 0 /\ Ar_0 - Ar_1 - 6 >= 0 /\ Ar_0 - 6 >= 0 /\ Ar_0 - 6 > 0 /\ Ar_0 - Ar_1 - 7 >= 0 /\ Ar_0 - 7 >= 0 /\ Ar_0 - 7 > 0 /\ Ar_0 - Ar_1 - 8 >= 0 /\ Ar_0 - 8 >= 0 /\ Ar_0 - 8 > 0 /\ Ar_0 - Ar_1 - 9 >= 0 /\ Ar_0 - 9 >= 0 /\ Ar_0 - 9 > 0 /\ Ar_0 - Ar_1 - 10 >= 0 /\ Ar_0 - 10 >= 0 /\ Ar_0 - 10 > 0 /\ Ar_0 - Ar_1 - 11 >= 0 /\ Ar_0 - 11 >= 0 /\ Ar_0 - 11 > 0 ]
		(Comp: Ar_1 + 1, Cost: 2)    l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l2(Ar_0, Ar_1, 1, 0)) [ Ar_0 >= 0 /\ Ar_1 > 0 /\ 0 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ 0 < Ar_1 ]
		(Comp: Ar_1 + 1, Cost: 1)    l2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l1(Ar_0 + Ar_3, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)           l2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l2(Ar_0, Ar_1, Ar_2 + 1, Ar_3 + Ar_2)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 < Ar_1 ]
		(Comp: ?, Cost: 1)           l3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 1, Ar_1, Ar_2, Ar_3)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 > 0 ]
		(Comp: 1, Cost: 1)           koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l1(0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 12, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1 <= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 > 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - 1 > 0 /\ Ar_0 - Ar_1 - 2 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 - 2 > 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 - 3 > 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 /\ Ar_0 - 4 > 0 /\ Ar_0 - Ar_1 - 5 >= 0 /\ Ar_0 - 5 >= 0 /\ Ar_0 - 5 > 0 /\ Ar_0 - Ar_1 - 6 >= 0 /\ Ar_0 - 6 >= 0 /\ Ar_0 - 6 > 0 /\ Ar_0 - Ar_1 - 7 >= 0 /\ Ar_0 - 7 >= 0 /\ Ar_0 - 7 > 0 /\ Ar_0 - Ar_1 - 8 >= 0 /\ Ar_0 - 8 >= 0 /\ Ar_0 - 8 > 0 /\ Ar_0 - Ar_1 - 9 >= 0 /\ Ar_0 - 9 >= 0 /\ Ar_0 - 9 > 0 /\ Ar_0 - Ar_1 - 10 >= 0 /\ Ar_0 - 10 >= 0 /\ Ar_0 - 10 > 0 /\ Ar_0 - Ar_1 - 11 >= 0 /\ Ar_0 - 11 >= 0 /\ Ar_0 - 11 > 0 ] with all transitions in problem 21, the following new transition is obtained:
	l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 13, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1 <= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 > 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - 1 > 0 /\ Ar_0 - Ar_1 - 2 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 - 2 > 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 - 3 > 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 /\ Ar_0 - 4 > 0 /\ Ar_0 - Ar_1 - 5 >= 0 /\ Ar_0 - 5 >= 0 /\ Ar_0 - 5 > 0 /\ Ar_0 - Ar_1 - 6 >= 0 /\ Ar_0 - 6 >= 0 /\ Ar_0 - 6 > 0 /\ Ar_0 - Ar_1 - 7 >= 0 /\ Ar_0 - 7 >= 0 /\ Ar_0 - 7 > 0 /\ Ar_0 - Ar_1 - 8 >= 0 /\ Ar_0 - 8 >= 0 /\ Ar_0 - 8 > 0 /\ Ar_0 - Ar_1 - 9 >= 0 /\ Ar_0 - 9 >= 0 /\ Ar_0 - 9 > 0 /\ Ar_0 - Ar_1 - 10 >= 0 /\ Ar_0 - 10 >= 0 /\ Ar_0 - 10 > 0 /\ Ar_0 - Ar_1 - 11 >= 0 /\ Ar_0 - 11 >= 0 /\ Ar_0 - 11 > 0 /\ Ar_0 - Ar_1 - 12 >= 0 /\ Ar_0 - 12 >= 0 /\ Ar_0 - 12 > 0 ]
We thus obtain the following problem:
22:	T:
		(Comp: 1, Cost: 14)          l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 13, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1 <= 0 /\ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 > 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 - 1 > 0 /\ Ar_0 - Ar_1 - 2 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 - 2 > 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 - 3 > 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 /\ Ar_0 - 4 > 0 /\ Ar_0 - Ar_1 - 5 >= 0 /\ Ar_0 - 5 >= 0 /\ Ar_0 - 5 > 0 /\ Ar_0 - Ar_1 - 6 >= 0 /\ Ar_0 - 6 >= 0 /\ Ar_0 - 6 > 0 /\ Ar_0 - Ar_1 - 7 >= 0 /\ Ar_0 - 7 >= 0 /\ Ar_0 - 7 > 0 /\ Ar_0 - Ar_1 - 8 >= 0 /\ Ar_0 - 8 >= 0 /\ Ar_0 - 8 > 0 /\ Ar_0 - Ar_1 - 9 >= 0 /\ Ar_0 - 9 >= 0 /\ Ar_0 - 9 > 0 /\ Ar_0 - Ar_1 - 10 >= 0 /\ Ar_0 - 10 >= 0 /\ Ar_0 - 10 > 0 /\ Ar_0 - Ar_1 - 11 >= 0 /\ Ar_0 - 11 >= 0 /\ Ar_0 - 11 > 0 /\ Ar_0 - Ar_1 - 12 >= 0 /\ Ar_0 - 12 >= 0 /\ Ar_0 - 12 > 0 ]
		(Comp: Ar_1 + 1, Cost: 2)    l1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l2(Ar_0, Ar_1, 1, 0)) [ Ar_0 >= 0 /\ Ar_1 > 0 /\ 0 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ 0 < Ar_1 ]
		(Comp: Ar_1 + 1, Cost: 1)    l2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l1(Ar_0 + Ar_3, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)           l2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l2(Ar_0, Ar_1, Ar_2 + 1, Ar_3 + Ar_2)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 < Ar_1 ]
		(Comp: ?, Cost: 1)           l3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l3(Ar_0 - 1, Ar_1, Ar_2, Ar_3)) [ -Ar_1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 > 0 ]
		(Comp: 1, Cost: 1)           koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(l1(0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound ?

Time: 0.562 sec (SMT: 0.439 sec)
