
Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    l0(Ar_0, Ar_1) -> Com_1(l1(Ar_0, Ar_1)) [ Ar_0 > 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1) -> Com_1(l1(3*Ar_0, 2*Ar_1)) [ Ar_0 < Ar_1 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1) -> Com_1(l0(Ar_0, Ar_1)) [ 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) -> Com_1(l1(Ar_0, Ar_1)) [ Ar_0 > 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1) -> Com_1(l1(3*Ar_0, 2*Ar_1)) [ Ar_0 < Ar_1 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1) -> Com_1(l0(Ar_0, Ar_1)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Applied AI with 'oct' on problem 2 to obtain the following invariants:
  For symbol l1: X_1 - 1 >= 0


This yielded the following problem:
3:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1) -> Com_1(l0(Ar_0, Ar_1)) [ 0 <= 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1) -> Com_1(l1(3*Ar_0, 2*Ar_1)) [ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 ]
		(Comp: 1, Cost: 1)    l0(Ar_0, Ar_1) -> Com_1(l1(Ar_0, Ar_1)) [ Ar_0 > 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1) -> Com_1(l0(Ar_0, Ar_1)) [ 0 <= 0 ] with all transitions in problem 3, the following new transition is obtained:
	koat_start(Ar_0, Ar_1) -> Com_1(l1(Ar_0, Ar_1)) [ 0 <= 0 /\ Ar_0 > 0 ]
We thus obtain the following problem:
4:	T:
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1) -> Com_1(l1(Ar_0, Ar_1)) [ 0 <= 0 /\ Ar_0 > 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1) -> Com_1(l1(3*Ar_0, 2*Ar_1)) [ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 ]
		(Comp: 1, Cost: 1)    l0(Ar_0, Ar_1) -> Com_1(l1(Ar_0, Ar_1)) [ Ar_0 > 0 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 4:
	l0(Ar_0, Ar_1) -> Com_1(l1(Ar_0, Ar_1)) [ Ar_0 > 0 ]
We thus obtain the following problem:
5:	T:
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1) -> Com_1(l1(3*Ar_0, 2*Ar_1)) [ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1) -> Com_1(l1(Ar_0, Ar_1)) [ 0 <= 0 /\ Ar_0 > 0 ]
	start location:	koat_start
	leaf cost:	0

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

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

By chaining the transition koat_start(Ar_0, Ar_1) -> Com_1(l1(9*Ar_0, 4*Ar_1)) [ 0 <= 0 /\ Ar_0 > 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 /\ 3*Ar_0 - 1 >= 0 /\ 3*Ar_0 < 2*Ar_1 ] with all transitions in problem 7, the following new transition is obtained:
	koat_start(Ar_0, Ar_1) -> Com_1(l1(27*Ar_0, 8*Ar_1)) [ 0 <= 0 /\ Ar_0 > 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 /\ 3*Ar_0 - 1 >= 0 /\ 3*Ar_0 < 2*Ar_1 /\ 9*Ar_0 - 1 >= 0 /\ 9*Ar_0 < 4*Ar_1 ]
We thus obtain the following problem:
8:	T:
		(Comp: 1, Cost: 4)    koat_start(Ar_0, Ar_1) -> Com_1(l1(27*Ar_0, 8*Ar_1)) [ 0 <= 0 /\ Ar_0 > 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 /\ 3*Ar_0 - 1 >= 0 /\ 3*Ar_0 < 2*Ar_1 /\ 9*Ar_0 - 1 >= 0 /\ 9*Ar_0 < 4*Ar_1 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1) -> Com_1(l1(3*Ar_0, 2*Ar_1)) [ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1) -> Com_1(l1(27*Ar_0, 8*Ar_1)) [ 0 <= 0 /\ Ar_0 > 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 /\ 3*Ar_0 - 1 >= 0 /\ 3*Ar_0 < 2*Ar_1 /\ 9*Ar_0 - 1 >= 0 /\ 9*Ar_0 < 4*Ar_1 ] with all transitions in problem 8, the following new transition is obtained:
	koat_start(Ar_0, Ar_1) -> Com_1(l1(81*Ar_0, 16*Ar_1)) [ 0 <= 0 /\ Ar_0 > 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 /\ 3*Ar_0 - 1 >= 0 /\ 3*Ar_0 < 2*Ar_1 /\ 9*Ar_0 - 1 >= 0 /\ 9*Ar_0 < 4*Ar_1 /\ 27*Ar_0 - 1 >= 0 /\ 27*Ar_0 < 8*Ar_1 ]
We thus obtain the following problem:
9:	T:
		(Comp: 1, Cost: 5)    koat_start(Ar_0, Ar_1) -> Com_1(l1(81*Ar_0, 16*Ar_1)) [ 0 <= 0 /\ Ar_0 > 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 /\ 3*Ar_0 - 1 >= 0 /\ 3*Ar_0 < 2*Ar_1 /\ 9*Ar_0 - 1 >= 0 /\ 9*Ar_0 < 4*Ar_1 /\ 27*Ar_0 - 1 >= 0 /\ 27*Ar_0 < 8*Ar_1 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1) -> Com_1(l1(3*Ar_0, 2*Ar_1)) [ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1) -> Com_1(l1(81*Ar_0, 16*Ar_1)) [ 0 <= 0 /\ Ar_0 > 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 /\ 3*Ar_0 - 1 >= 0 /\ 3*Ar_0 < 2*Ar_1 /\ 9*Ar_0 - 1 >= 0 /\ 9*Ar_0 < 4*Ar_1 /\ 27*Ar_0 - 1 >= 0 /\ 27*Ar_0 < 8*Ar_1 ] with all transitions in problem 9, the following new transition is obtained:
	koat_start(Ar_0, Ar_1) -> Com_1(l1(243*Ar_0, 32*Ar_1)) [ 0 <= 0 /\ Ar_0 > 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 /\ 3*Ar_0 - 1 >= 0 /\ 3*Ar_0 < 2*Ar_1 /\ 9*Ar_0 - 1 >= 0 /\ 9*Ar_0 < 4*Ar_1 /\ 27*Ar_0 - 1 >= 0 /\ 27*Ar_0 < 8*Ar_1 /\ 81*Ar_0 - 1 >= 0 /\ 81*Ar_0 < 16*Ar_1 ]
We thus obtain the following problem:
10:	T:
		(Comp: 1, Cost: 6)    koat_start(Ar_0, Ar_1) -> Com_1(l1(243*Ar_0, 32*Ar_1)) [ 0 <= 0 /\ Ar_0 > 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 /\ 3*Ar_0 - 1 >= 0 /\ 3*Ar_0 < 2*Ar_1 /\ 9*Ar_0 - 1 >= 0 /\ 9*Ar_0 < 4*Ar_1 /\ 27*Ar_0 - 1 >= 0 /\ 27*Ar_0 < 8*Ar_1 /\ 81*Ar_0 - 1 >= 0 /\ 81*Ar_0 < 16*Ar_1 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1) -> Com_1(l1(3*Ar_0, 2*Ar_1)) [ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1) -> Com_1(l1(243*Ar_0, 32*Ar_1)) [ 0 <= 0 /\ Ar_0 > 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 /\ 3*Ar_0 - 1 >= 0 /\ 3*Ar_0 < 2*Ar_1 /\ 9*Ar_0 - 1 >= 0 /\ 9*Ar_0 < 4*Ar_1 /\ 27*Ar_0 - 1 >= 0 /\ 27*Ar_0 < 8*Ar_1 /\ 81*Ar_0 - 1 >= 0 /\ 81*Ar_0 < 16*Ar_1 ] with all transitions in problem 10, the following new transition is obtained:
	koat_start(Ar_0, Ar_1) -> Com_1(l1(729*Ar_0, 64*Ar_1)) [ 0 <= 0 /\ Ar_0 > 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 /\ 3*Ar_0 - 1 >= 0 /\ 3*Ar_0 < 2*Ar_1 /\ 9*Ar_0 - 1 >= 0 /\ 9*Ar_0 < 4*Ar_1 /\ 27*Ar_0 - 1 >= 0 /\ 27*Ar_0 < 8*Ar_1 /\ 81*Ar_0 - 1 >= 0 /\ 81*Ar_0 < 16*Ar_1 /\ 243*Ar_0 - 1 >= 0 /\ 243*Ar_0 < 32*Ar_1 ]
We thus obtain the following problem:
11:	T:
		(Comp: 1, Cost: 7)    koat_start(Ar_0, Ar_1) -> Com_1(l1(729*Ar_0, 64*Ar_1)) [ 0 <= 0 /\ Ar_0 > 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 /\ 3*Ar_0 - 1 >= 0 /\ 3*Ar_0 < 2*Ar_1 /\ 9*Ar_0 - 1 >= 0 /\ 9*Ar_0 < 4*Ar_1 /\ 27*Ar_0 - 1 >= 0 /\ 27*Ar_0 < 8*Ar_1 /\ 81*Ar_0 - 1 >= 0 /\ 81*Ar_0 < 16*Ar_1 /\ 243*Ar_0 - 1 >= 0 /\ 243*Ar_0 < 32*Ar_1 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1) -> Com_1(l1(3*Ar_0, 2*Ar_1)) [ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1) -> Com_1(l1(729*Ar_0, 64*Ar_1)) [ 0 <= 0 /\ Ar_0 > 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 /\ 3*Ar_0 - 1 >= 0 /\ 3*Ar_0 < 2*Ar_1 /\ 9*Ar_0 - 1 >= 0 /\ 9*Ar_0 < 4*Ar_1 /\ 27*Ar_0 - 1 >= 0 /\ 27*Ar_0 < 8*Ar_1 /\ 81*Ar_0 - 1 >= 0 /\ 81*Ar_0 < 16*Ar_1 /\ 243*Ar_0 - 1 >= 0 /\ 243*Ar_0 < 32*Ar_1 ] with all transitions in problem 11, the following new transition is obtained:
	koat_start(Ar_0, Ar_1) -> Com_1(l1(2187*Ar_0, 128*Ar_1)) [ 0 <= 0 /\ Ar_0 > 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 /\ 3*Ar_0 - 1 >= 0 /\ 3*Ar_0 < 2*Ar_1 /\ 9*Ar_0 - 1 >= 0 /\ 9*Ar_0 < 4*Ar_1 /\ 27*Ar_0 - 1 >= 0 /\ 27*Ar_0 < 8*Ar_1 /\ 81*Ar_0 - 1 >= 0 /\ 81*Ar_0 < 16*Ar_1 /\ 243*Ar_0 - 1 >= 0 /\ 243*Ar_0 < 32*Ar_1 /\ 729*Ar_0 - 1 >= 0 /\ 729*Ar_0 < 64*Ar_1 ]
We thus obtain the following problem:
12:	T:
		(Comp: 1, Cost: 8)    koat_start(Ar_0, Ar_1) -> Com_1(l1(2187*Ar_0, 128*Ar_1)) [ 0 <= 0 /\ Ar_0 > 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 /\ 3*Ar_0 - 1 >= 0 /\ 3*Ar_0 < 2*Ar_1 /\ 9*Ar_0 - 1 >= 0 /\ 9*Ar_0 < 4*Ar_1 /\ 27*Ar_0 - 1 >= 0 /\ 27*Ar_0 < 8*Ar_1 /\ 81*Ar_0 - 1 >= 0 /\ 81*Ar_0 < 16*Ar_1 /\ 243*Ar_0 - 1 >= 0 /\ 243*Ar_0 < 32*Ar_1 /\ 729*Ar_0 - 1 >= 0 /\ 729*Ar_0 < 64*Ar_1 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1) -> Com_1(l1(3*Ar_0, 2*Ar_1)) [ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1) -> Com_1(l1(2187*Ar_0, 128*Ar_1)) [ 0 <= 0 /\ Ar_0 > 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 /\ 3*Ar_0 - 1 >= 0 /\ 3*Ar_0 < 2*Ar_1 /\ 9*Ar_0 - 1 >= 0 /\ 9*Ar_0 < 4*Ar_1 /\ 27*Ar_0 - 1 >= 0 /\ 27*Ar_0 < 8*Ar_1 /\ 81*Ar_0 - 1 >= 0 /\ 81*Ar_0 < 16*Ar_1 /\ 243*Ar_0 - 1 >= 0 /\ 243*Ar_0 < 32*Ar_1 /\ 729*Ar_0 - 1 >= 0 /\ 729*Ar_0 < 64*Ar_1 ] with all transitions in problem 12, the following new transition is obtained:
	koat_start(Ar_0, Ar_1) -> Com_1(l1(6561*Ar_0, 256*Ar_1)) [ 0 <= 0 /\ Ar_0 > 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 /\ 3*Ar_0 - 1 >= 0 /\ 3*Ar_0 < 2*Ar_1 /\ 9*Ar_0 - 1 >= 0 /\ 9*Ar_0 < 4*Ar_1 /\ 27*Ar_0 - 1 >= 0 /\ 27*Ar_0 < 8*Ar_1 /\ 81*Ar_0 - 1 >= 0 /\ 81*Ar_0 < 16*Ar_1 /\ 243*Ar_0 - 1 >= 0 /\ 243*Ar_0 < 32*Ar_1 /\ 729*Ar_0 - 1 >= 0 /\ 729*Ar_0 < 64*Ar_1 /\ 2187*Ar_0 - 1 >= 0 /\ 2187*Ar_0 < 128*Ar_1 ]
We thus obtain the following problem:
13:	T:
		(Comp: 1, Cost: 9)    koat_start(Ar_0, Ar_1) -> Com_1(l1(6561*Ar_0, 256*Ar_1)) [ 0 <= 0 /\ Ar_0 > 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 /\ 3*Ar_0 - 1 >= 0 /\ 3*Ar_0 < 2*Ar_1 /\ 9*Ar_0 - 1 >= 0 /\ 9*Ar_0 < 4*Ar_1 /\ 27*Ar_0 - 1 >= 0 /\ 27*Ar_0 < 8*Ar_1 /\ 81*Ar_0 - 1 >= 0 /\ 81*Ar_0 < 16*Ar_1 /\ 243*Ar_0 - 1 >= 0 /\ 243*Ar_0 < 32*Ar_1 /\ 729*Ar_0 - 1 >= 0 /\ 729*Ar_0 < 64*Ar_1 /\ 2187*Ar_0 - 1 >= 0 /\ 2187*Ar_0 < 128*Ar_1 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1) -> Com_1(l1(3*Ar_0, 2*Ar_1)) [ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1) -> Com_1(l1(6561*Ar_0, 256*Ar_1)) [ 0 <= 0 /\ Ar_0 > 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 /\ 3*Ar_0 - 1 >= 0 /\ 3*Ar_0 < 2*Ar_1 /\ 9*Ar_0 - 1 >= 0 /\ 9*Ar_0 < 4*Ar_1 /\ 27*Ar_0 - 1 >= 0 /\ 27*Ar_0 < 8*Ar_1 /\ 81*Ar_0 - 1 >= 0 /\ 81*Ar_0 < 16*Ar_1 /\ 243*Ar_0 - 1 >= 0 /\ 243*Ar_0 < 32*Ar_1 /\ 729*Ar_0 - 1 >= 0 /\ 729*Ar_0 < 64*Ar_1 /\ 2187*Ar_0 - 1 >= 0 /\ 2187*Ar_0 < 128*Ar_1 ] with all transitions in problem 13, the following new transition is obtained:
	koat_start(Ar_0, Ar_1) -> Com_1(l1(19683*Ar_0, 512*Ar_1)) [ 0 <= 0 /\ Ar_0 > 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 /\ 3*Ar_0 - 1 >= 0 /\ 3*Ar_0 < 2*Ar_1 /\ 9*Ar_0 - 1 >= 0 /\ 9*Ar_0 < 4*Ar_1 /\ 27*Ar_0 - 1 >= 0 /\ 27*Ar_0 < 8*Ar_1 /\ 81*Ar_0 - 1 >= 0 /\ 81*Ar_0 < 16*Ar_1 /\ 243*Ar_0 - 1 >= 0 /\ 243*Ar_0 < 32*Ar_1 /\ 729*Ar_0 - 1 >= 0 /\ 729*Ar_0 < 64*Ar_1 /\ 2187*Ar_0 - 1 >= 0 /\ 2187*Ar_0 < 128*Ar_1 /\ 6561*Ar_0 - 1 >= 0 /\ 6561*Ar_0 < 256*Ar_1 ]
We thus obtain the following problem:
14:	T:
		(Comp: 1, Cost: 10)    koat_start(Ar_0, Ar_1) -> Com_1(l1(19683*Ar_0, 512*Ar_1)) [ 0 <= 0 /\ Ar_0 > 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 /\ 3*Ar_0 - 1 >= 0 /\ 3*Ar_0 < 2*Ar_1 /\ 9*Ar_0 - 1 >= 0 /\ 9*Ar_0 < 4*Ar_1 /\ 27*Ar_0 - 1 >= 0 /\ 27*Ar_0 < 8*Ar_1 /\ 81*Ar_0 - 1 >= 0 /\ 81*Ar_0 < 16*Ar_1 /\ 243*Ar_0 - 1 >= 0 /\ 243*Ar_0 < 32*Ar_1 /\ 729*Ar_0 - 1 >= 0 /\ 729*Ar_0 < 64*Ar_1 /\ 2187*Ar_0 - 1 >= 0 /\ 2187*Ar_0 < 128*Ar_1 /\ 6561*Ar_0 - 1 >= 0 /\ 6561*Ar_0 < 256*Ar_1 ]
		(Comp: ?, Cost: 1)     l1(Ar_0, Ar_1) -> Com_1(l1(3*Ar_0, 2*Ar_1)) [ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1) -> Com_1(l1(19683*Ar_0, 512*Ar_1)) [ 0 <= 0 /\ Ar_0 > 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 /\ 3*Ar_0 - 1 >= 0 /\ 3*Ar_0 < 2*Ar_1 /\ 9*Ar_0 - 1 >= 0 /\ 9*Ar_0 < 4*Ar_1 /\ 27*Ar_0 - 1 >= 0 /\ 27*Ar_0 < 8*Ar_1 /\ 81*Ar_0 - 1 >= 0 /\ 81*Ar_0 < 16*Ar_1 /\ 243*Ar_0 - 1 >= 0 /\ 243*Ar_0 < 32*Ar_1 /\ 729*Ar_0 - 1 >= 0 /\ 729*Ar_0 < 64*Ar_1 /\ 2187*Ar_0 - 1 >= 0 /\ 2187*Ar_0 < 128*Ar_1 /\ 6561*Ar_0 - 1 >= 0 /\ 6561*Ar_0 < 256*Ar_1 ] with all transitions in problem 14, the following new transition is obtained:
	koat_start(Ar_0, Ar_1) -> Com_1(l1(59049*Ar_0, 1024*Ar_1)) [ 0 <= 0 /\ Ar_0 > 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 /\ 3*Ar_0 - 1 >= 0 /\ 3*Ar_0 < 2*Ar_1 /\ 9*Ar_0 - 1 >= 0 /\ 9*Ar_0 < 4*Ar_1 /\ 27*Ar_0 - 1 >= 0 /\ 27*Ar_0 < 8*Ar_1 /\ 81*Ar_0 - 1 >= 0 /\ 81*Ar_0 < 16*Ar_1 /\ 243*Ar_0 - 1 >= 0 /\ 243*Ar_0 < 32*Ar_1 /\ 729*Ar_0 - 1 >= 0 /\ 729*Ar_0 < 64*Ar_1 /\ 2187*Ar_0 - 1 >= 0 /\ 2187*Ar_0 < 128*Ar_1 /\ 6561*Ar_0 - 1 >= 0 /\ 6561*Ar_0 < 256*Ar_1 /\ 19683*Ar_0 - 1 >= 0 /\ 19683*Ar_0 < 512*Ar_1 ]
We thus obtain the following problem:
15:	T:
		(Comp: 1, Cost: 11)    koat_start(Ar_0, Ar_1) -> Com_1(l1(59049*Ar_0, 1024*Ar_1)) [ 0 <= 0 /\ Ar_0 > 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 /\ 3*Ar_0 - 1 >= 0 /\ 3*Ar_0 < 2*Ar_1 /\ 9*Ar_0 - 1 >= 0 /\ 9*Ar_0 < 4*Ar_1 /\ 27*Ar_0 - 1 >= 0 /\ 27*Ar_0 < 8*Ar_1 /\ 81*Ar_0 - 1 >= 0 /\ 81*Ar_0 < 16*Ar_1 /\ 243*Ar_0 - 1 >= 0 /\ 243*Ar_0 < 32*Ar_1 /\ 729*Ar_0 - 1 >= 0 /\ 729*Ar_0 < 64*Ar_1 /\ 2187*Ar_0 - 1 >= 0 /\ 2187*Ar_0 < 128*Ar_1 /\ 6561*Ar_0 - 1 >= 0 /\ 6561*Ar_0 < 256*Ar_1 /\ 19683*Ar_0 - 1 >= 0 /\ 19683*Ar_0 < 512*Ar_1 ]
		(Comp: ?, Cost: 1)     l1(Ar_0, Ar_1) -> Com_1(l1(3*Ar_0, 2*Ar_1)) [ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1) -> Com_1(l1(59049*Ar_0, 1024*Ar_1)) [ 0 <= 0 /\ Ar_0 > 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 /\ 3*Ar_0 - 1 >= 0 /\ 3*Ar_0 < 2*Ar_1 /\ 9*Ar_0 - 1 >= 0 /\ 9*Ar_0 < 4*Ar_1 /\ 27*Ar_0 - 1 >= 0 /\ 27*Ar_0 < 8*Ar_1 /\ 81*Ar_0 - 1 >= 0 /\ 81*Ar_0 < 16*Ar_1 /\ 243*Ar_0 - 1 >= 0 /\ 243*Ar_0 < 32*Ar_1 /\ 729*Ar_0 - 1 >= 0 /\ 729*Ar_0 < 64*Ar_1 /\ 2187*Ar_0 - 1 >= 0 /\ 2187*Ar_0 < 128*Ar_1 /\ 6561*Ar_0 - 1 >= 0 /\ 6561*Ar_0 < 256*Ar_1 /\ 19683*Ar_0 - 1 >= 0 /\ 19683*Ar_0 < 512*Ar_1 ] with all transitions in problem 15, the following new transition is obtained:
	koat_start(Ar_0, Ar_1) -> Com_1(l1(177147*Ar_0, 2048*Ar_1)) [ 0 <= 0 /\ Ar_0 > 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 /\ 3*Ar_0 - 1 >= 0 /\ 3*Ar_0 < 2*Ar_1 /\ 9*Ar_0 - 1 >= 0 /\ 9*Ar_0 < 4*Ar_1 /\ 27*Ar_0 - 1 >= 0 /\ 27*Ar_0 < 8*Ar_1 /\ 81*Ar_0 - 1 >= 0 /\ 81*Ar_0 < 16*Ar_1 /\ 243*Ar_0 - 1 >= 0 /\ 243*Ar_0 < 32*Ar_1 /\ 729*Ar_0 - 1 >= 0 /\ 729*Ar_0 < 64*Ar_1 /\ 2187*Ar_0 - 1 >= 0 /\ 2187*Ar_0 < 128*Ar_1 /\ 6561*Ar_0 - 1 >= 0 /\ 6561*Ar_0 < 256*Ar_1 /\ 19683*Ar_0 - 1 >= 0 /\ 19683*Ar_0 < 512*Ar_1 /\ 59049*Ar_0 - 1 >= 0 /\ 59049*Ar_0 < 1024*Ar_1 ]
We thus obtain the following problem:
16:	T:
		(Comp: 1, Cost: 12)    koat_start(Ar_0, Ar_1) -> Com_1(l1(177147*Ar_0, 2048*Ar_1)) [ 0 <= 0 /\ Ar_0 > 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 /\ 3*Ar_0 - 1 >= 0 /\ 3*Ar_0 < 2*Ar_1 /\ 9*Ar_0 - 1 >= 0 /\ 9*Ar_0 < 4*Ar_1 /\ 27*Ar_0 - 1 >= 0 /\ 27*Ar_0 < 8*Ar_1 /\ 81*Ar_0 - 1 >= 0 /\ 81*Ar_0 < 16*Ar_1 /\ 243*Ar_0 - 1 >= 0 /\ 243*Ar_0 < 32*Ar_1 /\ 729*Ar_0 - 1 >= 0 /\ 729*Ar_0 < 64*Ar_1 /\ 2187*Ar_0 - 1 >= 0 /\ 2187*Ar_0 < 128*Ar_1 /\ 6561*Ar_0 - 1 >= 0 /\ 6561*Ar_0 < 256*Ar_1 /\ 19683*Ar_0 - 1 >= 0 /\ 19683*Ar_0 < 512*Ar_1 /\ 59049*Ar_0 - 1 >= 0 /\ 59049*Ar_0 < 1024*Ar_1 ]
		(Comp: ?, Cost: 1)     l1(Ar_0, Ar_1) -> Com_1(l1(3*Ar_0, 2*Ar_1)) [ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1) -> Com_1(l1(177147*Ar_0, 2048*Ar_1)) [ 0 <= 0 /\ Ar_0 > 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 /\ 3*Ar_0 - 1 >= 0 /\ 3*Ar_0 < 2*Ar_1 /\ 9*Ar_0 - 1 >= 0 /\ 9*Ar_0 < 4*Ar_1 /\ 27*Ar_0 - 1 >= 0 /\ 27*Ar_0 < 8*Ar_1 /\ 81*Ar_0 - 1 >= 0 /\ 81*Ar_0 < 16*Ar_1 /\ 243*Ar_0 - 1 >= 0 /\ 243*Ar_0 < 32*Ar_1 /\ 729*Ar_0 - 1 >= 0 /\ 729*Ar_0 < 64*Ar_1 /\ 2187*Ar_0 - 1 >= 0 /\ 2187*Ar_0 < 128*Ar_1 /\ 6561*Ar_0 - 1 >= 0 /\ 6561*Ar_0 < 256*Ar_1 /\ 19683*Ar_0 - 1 >= 0 /\ 19683*Ar_0 < 512*Ar_1 /\ 59049*Ar_0 - 1 >= 0 /\ 59049*Ar_0 < 1024*Ar_1 ] with all transitions in problem 16, the following new transition is obtained:
	koat_start(Ar_0, Ar_1) -> Com_1(l1(531441*Ar_0, 4096*Ar_1)) [ 0 <= 0 /\ Ar_0 > 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 /\ 3*Ar_0 - 1 >= 0 /\ 3*Ar_0 < 2*Ar_1 /\ 9*Ar_0 - 1 >= 0 /\ 9*Ar_0 < 4*Ar_1 /\ 27*Ar_0 - 1 >= 0 /\ 27*Ar_0 < 8*Ar_1 /\ 81*Ar_0 - 1 >= 0 /\ 81*Ar_0 < 16*Ar_1 /\ 243*Ar_0 - 1 >= 0 /\ 243*Ar_0 < 32*Ar_1 /\ 729*Ar_0 - 1 >= 0 /\ 729*Ar_0 < 64*Ar_1 /\ 2187*Ar_0 - 1 >= 0 /\ 2187*Ar_0 < 128*Ar_1 /\ 6561*Ar_0 - 1 >= 0 /\ 6561*Ar_0 < 256*Ar_1 /\ 19683*Ar_0 - 1 >= 0 /\ 19683*Ar_0 < 512*Ar_1 /\ 59049*Ar_0 - 1 >= 0 /\ 59049*Ar_0 < 1024*Ar_1 /\ 177147*Ar_0 - 1 >= 0 /\ 177147*Ar_0 < 2048*Ar_1 ]
We thus obtain the following problem:
17:	T:
		(Comp: 1, Cost: 13)    koat_start(Ar_0, Ar_1) -> Com_1(l1(531441*Ar_0, 4096*Ar_1)) [ 0 <= 0 /\ Ar_0 > 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 /\ 3*Ar_0 - 1 >= 0 /\ 3*Ar_0 < 2*Ar_1 /\ 9*Ar_0 - 1 >= 0 /\ 9*Ar_0 < 4*Ar_1 /\ 27*Ar_0 - 1 >= 0 /\ 27*Ar_0 < 8*Ar_1 /\ 81*Ar_0 - 1 >= 0 /\ 81*Ar_0 < 16*Ar_1 /\ 243*Ar_0 - 1 >= 0 /\ 243*Ar_0 < 32*Ar_1 /\ 729*Ar_0 - 1 >= 0 /\ 729*Ar_0 < 64*Ar_1 /\ 2187*Ar_0 - 1 >= 0 /\ 2187*Ar_0 < 128*Ar_1 /\ 6561*Ar_0 - 1 >= 0 /\ 6561*Ar_0 < 256*Ar_1 /\ 19683*Ar_0 - 1 >= 0 /\ 19683*Ar_0 < 512*Ar_1 /\ 59049*Ar_0 - 1 >= 0 /\ 59049*Ar_0 < 1024*Ar_1 /\ 177147*Ar_0 - 1 >= 0 /\ 177147*Ar_0 < 2048*Ar_1 ]
		(Comp: ?, Cost: 1)     l1(Ar_0, Ar_1) -> Com_1(l1(3*Ar_0, 2*Ar_1)) [ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1) -> Com_1(l1(531441*Ar_0, 4096*Ar_1)) [ 0 <= 0 /\ Ar_0 > 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 /\ 3*Ar_0 - 1 >= 0 /\ 3*Ar_0 < 2*Ar_1 /\ 9*Ar_0 - 1 >= 0 /\ 9*Ar_0 < 4*Ar_1 /\ 27*Ar_0 - 1 >= 0 /\ 27*Ar_0 < 8*Ar_1 /\ 81*Ar_0 - 1 >= 0 /\ 81*Ar_0 < 16*Ar_1 /\ 243*Ar_0 - 1 >= 0 /\ 243*Ar_0 < 32*Ar_1 /\ 729*Ar_0 - 1 >= 0 /\ 729*Ar_0 < 64*Ar_1 /\ 2187*Ar_0 - 1 >= 0 /\ 2187*Ar_0 < 128*Ar_1 /\ 6561*Ar_0 - 1 >= 0 /\ 6561*Ar_0 < 256*Ar_1 /\ 19683*Ar_0 - 1 >= 0 /\ 19683*Ar_0 < 512*Ar_1 /\ 59049*Ar_0 - 1 >= 0 /\ 59049*Ar_0 < 1024*Ar_1 /\ 177147*Ar_0 - 1 >= 0 /\ 177147*Ar_0 < 2048*Ar_1 ] with all transitions in problem 17, the following new transition is obtained:
	koat_start(Ar_0, Ar_1) -> Com_1(l1(1594323*Ar_0, 8192*Ar_1)) [ 0 <= 0 /\ Ar_0 > 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 /\ 3*Ar_0 - 1 >= 0 /\ 3*Ar_0 < 2*Ar_1 /\ 9*Ar_0 - 1 >= 0 /\ 9*Ar_0 < 4*Ar_1 /\ 27*Ar_0 - 1 >= 0 /\ 27*Ar_0 < 8*Ar_1 /\ 81*Ar_0 - 1 >= 0 /\ 81*Ar_0 < 16*Ar_1 /\ 243*Ar_0 - 1 >= 0 /\ 243*Ar_0 < 32*Ar_1 /\ 729*Ar_0 - 1 >= 0 /\ 729*Ar_0 < 64*Ar_1 /\ 2187*Ar_0 - 1 >= 0 /\ 2187*Ar_0 < 128*Ar_1 /\ 6561*Ar_0 - 1 >= 0 /\ 6561*Ar_0 < 256*Ar_1 /\ 19683*Ar_0 - 1 >= 0 /\ 19683*Ar_0 < 512*Ar_1 /\ 59049*Ar_0 - 1 >= 0 /\ 59049*Ar_0 < 1024*Ar_1 /\ 177147*Ar_0 - 1 >= 0 /\ 177147*Ar_0 < 2048*Ar_1 /\ 531441*Ar_0 - 1 >= 0 /\ 531441*Ar_0 < 4096*Ar_1 ]
We thus obtain the following problem:
18:	T:
		(Comp: 1, Cost: 14)    koat_start(Ar_0, Ar_1) -> Com_1(l1(1594323*Ar_0, 8192*Ar_1)) [ 0 <= 0 /\ Ar_0 > 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 /\ 3*Ar_0 - 1 >= 0 /\ 3*Ar_0 < 2*Ar_1 /\ 9*Ar_0 - 1 >= 0 /\ 9*Ar_0 < 4*Ar_1 /\ 27*Ar_0 - 1 >= 0 /\ 27*Ar_0 < 8*Ar_1 /\ 81*Ar_0 - 1 >= 0 /\ 81*Ar_0 < 16*Ar_1 /\ 243*Ar_0 - 1 >= 0 /\ 243*Ar_0 < 32*Ar_1 /\ 729*Ar_0 - 1 >= 0 /\ 729*Ar_0 < 64*Ar_1 /\ 2187*Ar_0 - 1 >= 0 /\ 2187*Ar_0 < 128*Ar_1 /\ 6561*Ar_0 - 1 >= 0 /\ 6561*Ar_0 < 256*Ar_1 /\ 19683*Ar_0 - 1 >= 0 /\ 19683*Ar_0 < 512*Ar_1 /\ 59049*Ar_0 - 1 >= 0 /\ 59049*Ar_0 < 1024*Ar_1 /\ 177147*Ar_0 - 1 >= 0 /\ 177147*Ar_0 < 2048*Ar_1 /\ 531441*Ar_0 - 1 >= 0 /\ 531441*Ar_0 < 4096*Ar_1 ]
		(Comp: ?, Cost: 1)     l1(Ar_0, Ar_1) -> Com_1(l1(3*Ar_0, 2*Ar_1)) [ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1) -> Com_1(l1(1594323*Ar_0, 8192*Ar_1)) [ 0 <= 0 /\ Ar_0 > 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 /\ 3*Ar_0 - 1 >= 0 /\ 3*Ar_0 < 2*Ar_1 /\ 9*Ar_0 - 1 >= 0 /\ 9*Ar_0 < 4*Ar_1 /\ 27*Ar_0 - 1 >= 0 /\ 27*Ar_0 < 8*Ar_1 /\ 81*Ar_0 - 1 >= 0 /\ 81*Ar_0 < 16*Ar_1 /\ 243*Ar_0 - 1 >= 0 /\ 243*Ar_0 < 32*Ar_1 /\ 729*Ar_0 - 1 >= 0 /\ 729*Ar_0 < 64*Ar_1 /\ 2187*Ar_0 - 1 >= 0 /\ 2187*Ar_0 < 128*Ar_1 /\ 6561*Ar_0 - 1 >= 0 /\ 6561*Ar_0 < 256*Ar_1 /\ 19683*Ar_0 - 1 >= 0 /\ 19683*Ar_0 < 512*Ar_1 /\ 59049*Ar_0 - 1 >= 0 /\ 59049*Ar_0 < 1024*Ar_1 /\ 177147*Ar_0 - 1 >= 0 /\ 177147*Ar_0 < 2048*Ar_1 /\ 531441*Ar_0 - 1 >= 0 /\ 531441*Ar_0 < 4096*Ar_1 ] with all transitions in problem 18, the following new transition is obtained:
	koat_start(Ar_0, Ar_1) -> Com_1(l1(4782969*Ar_0, 16384*Ar_1)) [ 0 <= 0 /\ Ar_0 > 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 /\ 3*Ar_0 - 1 >= 0 /\ 3*Ar_0 < 2*Ar_1 /\ 9*Ar_0 - 1 >= 0 /\ 9*Ar_0 < 4*Ar_1 /\ 27*Ar_0 - 1 >= 0 /\ 27*Ar_0 < 8*Ar_1 /\ 81*Ar_0 - 1 >= 0 /\ 81*Ar_0 < 16*Ar_1 /\ 243*Ar_0 - 1 >= 0 /\ 243*Ar_0 < 32*Ar_1 /\ 729*Ar_0 - 1 >= 0 /\ 729*Ar_0 < 64*Ar_1 /\ 2187*Ar_0 - 1 >= 0 /\ 2187*Ar_0 < 128*Ar_1 /\ 6561*Ar_0 - 1 >= 0 /\ 6561*Ar_0 < 256*Ar_1 /\ 19683*Ar_0 - 1 >= 0 /\ 19683*Ar_0 < 512*Ar_1 /\ 59049*Ar_0 - 1 >= 0 /\ 59049*Ar_0 < 1024*Ar_1 /\ 177147*Ar_0 - 1 >= 0 /\ 177147*Ar_0 < 2048*Ar_1 /\ 531441*Ar_0 - 1 >= 0 /\ 531441*Ar_0 < 4096*Ar_1 /\ 1594323*Ar_0 - 1 >= 0 /\ 1594323*Ar_0 < 8192*Ar_1 ]
We thus obtain the following problem:
19:	T:
		(Comp: 1, Cost: 15)    koat_start(Ar_0, Ar_1) -> Com_1(l1(4782969*Ar_0, 16384*Ar_1)) [ 0 <= 0 /\ Ar_0 > 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 /\ 3*Ar_0 - 1 >= 0 /\ 3*Ar_0 < 2*Ar_1 /\ 9*Ar_0 - 1 >= 0 /\ 9*Ar_0 < 4*Ar_1 /\ 27*Ar_0 - 1 >= 0 /\ 27*Ar_0 < 8*Ar_1 /\ 81*Ar_0 - 1 >= 0 /\ 81*Ar_0 < 16*Ar_1 /\ 243*Ar_0 - 1 >= 0 /\ 243*Ar_0 < 32*Ar_1 /\ 729*Ar_0 - 1 >= 0 /\ 729*Ar_0 < 64*Ar_1 /\ 2187*Ar_0 - 1 >= 0 /\ 2187*Ar_0 < 128*Ar_1 /\ 6561*Ar_0 - 1 >= 0 /\ 6561*Ar_0 < 256*Ar_1 /\ 19683*Ar_0 - 1 >= 0 /\ 19683*Ar_0 < 512*Ar_1 /\ 59049*Ar_0 - 1 >= 0 /\ 59049*Ar_0 < 1024*Ar_1 /\ 177147*Ar_0 - 1 >= 0 /\ 177147*Ar_0 < 2048*Ar_1 /\ 531441*Ar_0 - 1 >= 0 /\ 531441*Ar_0 < 4096*Ar_1 /\ 1594323*Ar_0 - 1 >= 0 /\ 1594323*Ar_0 < 8192*Ar_1 ]
		(Comp: ?, Cost: 1)     l1(Ar_0, Ar_1) -> Com_1(l1(3*Ar_0, 2*Ar_1)) [ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound ?

Time: 0.560 sec (SMT: 0.505 sec)
