
Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    l0(Ar_0, Ar_1, Ar_2) -> Com_1(l1(Ar_0, Ar_1, Ar_2)) [ Ar_2 > 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-2*Ar_0, 3*Ar_1 - 2*Ar_2^3, Ar_2)) [ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 < 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-2*Ar_0, 3*Ar_1 - 2*Ar_2^3, Ar_2)) [ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l0(Ar_0, Ar_1, Ar_2)) [ 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) -> Com_1(l1(Ar_0, Ar_1, Ar_2)) [ Ar_2 > 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-2*Ar_0, 3*Ar_1 - 2*Ar_2^3, Ar_2)) [ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 < 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-2*Ar_0, 3*Ar_1 - 2*Ar_2^3, Ar_2)) [ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l0(Ar_0, Ar_1, Ar_2)) [ 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_3 - 1 >= 0


This yielded the following problem:
3:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l0(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-2*Ar_0, 3*Ar_1 - 2*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-2*Ar_0, 3*Ar_1 - 2*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 < 0 ]
		(Comp: 1, Cost: 1)    l0(Ar_0, Ar_1, Ar_2) -> Com_1(l1(Ar_0, Ar_1, Ar_2)) [ Ar_2 > 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l0(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ] with all transitions in problem 3, the following new transition is obtained:
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 /\ Ar_2 > 0 ]
We thus obtain the following problem:
4:	T:
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 /\ Ar_2 > 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-2*Ar_0, 3*Ar_1 - 2*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-2*Ar_0, 3*Ar_1 - 2*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 < 0 ]
		(Comp: 1, Cost: 1)    l0(Ar_0, Ar_1, Ar_2) -> Com_1(l1(Ar_0, Ar_1, Ar_2)) [ Ar_2 > 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, Ar_2) -> Com_1(l1(Ar_0, Ar_1, Ar_2)) [ Ar_2 > 0 ]
We thus obtain the following problem:
5:	T:
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-2*Ar_0, 3*Ar_1 - 2*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 < 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-2*Ar_0, 3*Ar_1 - 2*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 /\ Ar_2 > 0 ]
	start location:	koat_start
	leaf cost:	0

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

Repeatedly propagating knowledge in problem 6 produces the following problem:
7:	T:
		(Comp: ?, Cost: 2)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(4*Ar_0, 9*Ar_1 - 8*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 < 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 > 0 ]
		(Comp: 1, Cost: 1)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-2*Ar_0, 3*Ar_1 - 2*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 /\ Ar_2 > 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-2*Ar_0, 3*Ar_1 - 2*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 ] with all transitions in problem 7, the following new transition is obtained:
	l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-8*Ar_0, 27*Ar_1 - 26*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 < 0 /\ 16*Ar_0^2 + Ar_2^5 < 9*Ar_1 - 8*Ar_2^3 /\ 4*Ar_0 > 0 ]
We thus obtain the following problem:
8:	T:
		(Comp: 1, Cost: 3)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-8*Ar_0, 27*Ar_1 - 26*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 < 0 /\ 16*Ar_0^2 + Ar_2^5 < 9*Ar_1 - 8*Ar_2^3 /\ 4*Ar_0 > 0 ]
		(Comp: ?, Cost: 2)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(4*Ar_0, 9*Ar_1 - 8*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 < 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 > 0 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 /\ Ar_2 > 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-8*Ar_0, 27*Ar_1 - 26*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 < 0 /\ 16*Ar_0^2 + Ar_2^5 < 9*Ar_1 - 8*Ar_2^3 /\ 4*Ar_0 > 0 ] with all transitions in problem 8, the following new transition is obtained:
	l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-32*Ar_0, 243*Ar_1 - 242*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 < 0 /\ 16*Ar_0^2 + Ar_2^5 < 9*Ar_1 - 8*Ar_2^3 /\ 4*Ar_0 > 0 /\ 64*Ar_0^2 + Ar_2^5 < 27*Ar_1 - 26*Ar_2^3 /\ -8*Ar_0 < 0 /\ 256*Ar_0^2 + Ar_2^5 < 81*Ar_1 - 80*Ar_2^3 /\ 16*Ar_0 > 0 ]
We thus obtain the following problem:
9:	T:
		(Comp: 1, Cost: 5)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-32*Ar_0, 243*Ar_1 - 242*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 < 0 /\ 16*Ar_0^2 + Ar_2^5 < 9*Ar_1 - 8*Ar_2^3 /\ 4*Ar_0 > 0 /\ 64*Ar_0^2 + Ar_2^5 < 27*Ar_1 - 26*Ar_2^3 /\ -8*Ar_0 < 0 /\ 256*Ar_0^2 + Ar_2^5 < 81*Ar_1 - 80*Ar_2^3 /\ 16*Ar_0 > 0 ]
		(Comp: ?, Cost: 2)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(4*Ar_0, 9*Ar_1 - 8*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 < 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 > 0 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 /\ Ar_2 > 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-32*Ar_0, 243*Ar_1 - 242*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 < 0 /\ 16*Ar_0^2 + Ar_2^5 < 9*Ar_1 - 8*Ar_2^3 /\ 4*Ar_0 > 0 /\ 64*Ar_0^2 + Ar_2^5 < 27*Ar_1 - 26*Ar_2^3 /\ -8*Ar_0 < 0 /\ 256*Ar_0^2 + Ar_2^5 < 81*Ar_1 - 80*Ar_2^3 /\ 16*Ar_0 > 0 ] with all transitions in problem 9, the following new transition is obtained:
	l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-128*Ar_0, 2187*Ar_1 - 2186*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 < 0 /\ 16*Ar_0^2 + Ar_2^5 < 9*Ar_1 - 8*Ar_2^3 /\ 4*Ar_0 > 0 /\ 64*Ar_0^2 + Ar_2^5 < 27*Ar_1 - 26*Ar_2^3 /\ -8*Ar_0 < 0 /\ 256*Ar_0^2 + Ar_2^5 < 81*Ar_1 - 80*Ar_2^3 /\ 16*Ar_0 > 0 /\ 1024*Ar_0^2 + Ar_2^5 < 243*Ar_1 - 242*Ar_2^3 /\ -32*Ar_0 < 0 /\ 4096*Ar_0^2 + Ar_2^5 < 729*Ar_1 - 728*Ar_2^3 /\ 64*Ar_0 > 0 ]
We thus obtain the following problem:
10:	T:
		(Comp: 1, Cost: 7)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-128*Ar_0, 2187*Ar_1 - 2186*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 < 0 /\ 16*Ar_0^2 + Ar_2^5 < 9*Ar_1 - 8*Ar_2^3 /\ 4*Ar_0 > 0 /\ 64*Ar_0^2 + Ar_2^5 < 27*Ar_1 - 26*Ar_2^3 /\ -8*Ar_0 < 0 /\ 256*Ar_0^2 + Ar_2^5 < 81*Ar_1 - 80*Ar_2^3 /\ 16*Ar_0 > 0 /\ 1024*Ar_0^2 + Ar_2^5 < 243*Ar_1 - 242*Ar_2^3 /\ -32*Ar_0 < 0 /\ 4096*Ar_0^2 + Ar_2^5 < 729*Ar_1 - 728*Ar_2^3 /\ 64*Ar_0 > 0 ]
		(Comp: ?, Cost: 2)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(4*Ar_0, 9*Ar_1 - 8*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 < 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 > 0 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 /\ Ar_2 > 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-128*Ar_0, 2187*Ar_1 - 2186*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 < 0 /\ 16*Ar_0^2 + Ar_2^5 < 9*Ar_1 - 8*Ar_2^3 /\ 4*Ar_0 > 0 /\ 64*Ar_0^2 + Ar_2^5 < 27*Ar_1 - 26*Ar_2^3 /\ -8*Ar_0 < 0 /\ 256*Ar_0^2 + Ar_2^5 < 81*Ar_1 - 80*Ar_2^3 /\ 16*Ar_0 > 0 /\ 1024*Ar_0^2 + Ar_2^5 < 243*Ar_1 - 242*Ar_2^3 /\ -32*Ar_0 < 0 /\ 4096*Ar_0^2 + Ar_2^5 < 729*Ar_1 - 728*Ar_2^3 /\ 64*Ar_0 > 0 ] with all transitions in problem 10, the following new transition is obtained:
	l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-512*Ar_0, 19683*Ar_1 - 19682*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 < 0 /\ 16*Ar_0^2 + Ar_2^5 < 9*Ar_1 - 8*Ar_2^3 /\ 4*Ar_0 > 0 /\ 64*Ar_0^2 + Ar_2^5 < 27*Ar_1 - 26*Ar_2^3 /\ -8*Ar_0 < 0 /\ 256*Ar_0^2 + Ar_2^5 < 81*Ar_1 - 80*Ar_2^3 /\ 16*Ar_0 > 0 /\ 1024*Ar_0^2 + Ar_2^5 < 243*Ar_1 - 242*Ar_2^3 /\ -32*Ar_0 < 0 /\ 4096*Ar_0^2 + Ar_2^5 < 729*Ar_1 - 728*Ar_2^3 /\ 64*Ar_0 > 0 /\ 16384*Ar_0^2 + Ar_2^5 < 2187*Ar_1 - 2186*Ar_2^3 /\ -128*Ar_0 < 0 /\ 65536*Ar_0^2 + Ar_2^5 < 6561*Ar_1 - 6560*Ar_2^3 /\ 256*Ar_0 > 0 ]
We thus obtain the following problem:
11:	T:
		(Comp: 1, Cost: 9)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-512*Ar_0, 19683*Ar_1 - 19682*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 < 0 /\ 16*Ar_0^2 + Ar_2^5 < 9*Ar_1 - 8*Ar_2^3 /\ 4*Ar_0 > 0 /\ 64*Ar_0^2 + Ar_2^5 < 27*Ar_1 - 26*Ar_2^3 /\ -8*Ar_0 < 0 /\ 256*Ar_0^2 + Ar_2^5 < 81*Ar_1 - 80*Ar_2^3 /\ 16*Ar_0 > 0 /\ 1024*Ar_0^2 + Ar_2^5 < 243*Ar_1 - 242*Ar_2^3 /\ -32*Ar_0 < 0 /\ 4096*Ar_0^2 + Ar_2^5 < 729*Ar_1 - 728*Ar_2^3 /\ 64*Ar_0 > 0 /\ 16384*Ar_0^2 + Ar_2^5 < 2187*Ar_1 - 2186*Ar_2^3 /\ -128*Ar_0 < 0 /\ 65536*Ar_0^2 + Ar_2^5 < 6561*Ar_1 - 6560*Ar_2^3 /\ 256*Ar_0 > 0 ]
		(Comp: ?, Cost: 2)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(4*Ar_0, 9*Ar_1 - 8*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 < 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 > 0 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 /\ Ar_2 > 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-512*Ar_0, 19683*Ar_1 - 19682*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 < 0 /\ 16*Ar_0^2 + Ar_2^5 < 9*Ar_1 - 8*Ar_2^3 /\ 4*Ar_0 > 0 /\ 64*Ar_0^2 + Ar_2^5 < 27*Ar_1 - 26*Ar_2^3 /\ -8*Ar_0 < 0 /\ 256*Ar_0^2 + Ar_2^5 < 81*Ar_1 - 80*Ar_2^3 /\ 16*Ar_0 > 0 /\ 1024*Ar_0^2 + Ar_2^5 < 243*Ar_1 - 242*Ar_2^3 /\ -32*Ar_0 < 0 /\ 4096*Ar_0^2 + Ar_2^5 < 729*Ar_1 - 728*Ar_2^3 /\ 64*Ar_0 > 0 /\ 16384*Ar_0^2 + Ar_2^5 < 2187*Ar_1 - 2186*Ar_2^3 /\ -128*Ar_0 < 0 /\ 65536*Ar_0^2 + Ar_2^5 < 6561*Ar_1 - 6560*Ar_2^3 /\ 256*Ar_0 > 0 ] with all transitions in problem 11, the following new transition is obtained:
	l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-2048*Ar_0, 177147*Ar_1 - 177146*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 < 0 /\ 16*Ar_0^2 + Ar_2^5 < 9*Ar_1 - 8*Ar_2^3 /\ 4*Ar_0 > 0 /\ 64*Ar_0^2 + Ar_2^5 < 27*Ar_1 - 26*Ar_2^3 /\ -8*Ar_0 < 0 /\ 256*Ar_0^2 + Ar_2^5 < 81*Ar_1 - 80*Ar_2^3 /\ 16*Ar_0 > 0 /\ 1024*Ar_0^2 + Ar_2^5 < 243*Ar_1 - 242*Ar_2^3 /\ -32*Ar_0 < 0 /\ 4096*Ar_0^2 + Ar_2^5 < 729*Ar_1 - 728*Ar_2^3 /\ 64*Ar_0 > 0 /\ 16384*Ar_0^2 + Ar_2^5 < 2187*Ar_1 - 2186*Ar_2^3 /\ -128*Ar_0 < 0 /\ 65536*Ar_0^2 + Ar_2^5 < 6561*Ar_1 - 6560*Ar_2^3 /\ 256*Ar_0 > 0 /\ 262144*Ar_0^2 + Ar_2^5 < 19683*Ar_1 - 19682*Ar_2^3 /\ -512*Ar_0 < 0 /\ 1048576*Ar_0^2 + Ar_2^5 < 59049*Ar_1 - 59048*Ar_2^3 /\ 1024*Ar_0 > 0 ]
We thus obtain the following problem:
12:	T:
		(Comp: 1, Cost: 11)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-2048*Ar_0, 177147*Ar_1 - 177146*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 < 0 /\ 16*Ar_0^2 + Ar_2^5 < 9*Ar_1 - 8*Ar_2^3 /\ 4*Ar_0 > 0 /\ 64*Ar_0^2 + Ar_2^5 < 27*Ar_1 - 26*Ar_2^3 /\ -8*Ar_0 < 0 /\ 256*Ar_0^2 + Ar_2^5 < 81*Ar_1 - 80*Ar_2^3 /\ 16*Ar_0 > 0 /\ 1024*Ar_0^2 + Ar_2^5 < 243*Ar_1 - 242*Ar_2^3 /\ -32*Ar_0 < 0 /\ 4096*Ar_0^2 + Ar_2^5 < 729*Ar_1 - 728*Ar_2^3 /\ 64*Ar_0 > 0 /\ 16384*Ar_0^2 + Ar_2^5 < 2187*Ar_1 - 2186*Ar_2^3 /\ -128*Ar_0 < 0 /\ 65536*Ar_0^2 + Ar_2^5 < 6561*Ar_1 - 6560*Ar_2^3 /\ 256*Ar_0 > 0 /\ 262144*Ar_0^2 + Ar_2^5 < 19683*Ar_1 - 19682*Ar_2^3 /\ -512*Ar_0 < 0 /\ 1048576*Ar_0^2 + Ar_2^5 < 59049*Ar_1 - 59048*Ar_2^3 /\ 1024*Ar_0 > 0 ]
		(Comp: ?, Cost: 2)     l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(4*Ar_0, 9*Ar_1 - 8*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 < 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 > 0 ]
		(Comp: 1, Cost: 1)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 /\ Ar_2 > 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-2048*Ar_0, 177147*Ar_1 - 177146*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 < 0 /\ 16*Ar_0^2 + Ar_2^5 < 9*Ar_1 - 8*Ar_2^3 /\ 4*Ar_0 > 0 /\ 64*Ar_0^2 + Ar_2^5 < 27*Ar_1 - 26*Ar_2^3 /\ -8*Ar_0 < 0 /\ 256*Ar_0^2 + Ar_2^5 < 81*Ar_1 - 80*Ar_2^3 /\ 16*Ar_0 > 0 /\ 1024*Ar_0^2 + Ar_2^5 < 243*Ar_1 - 242*Ar_2^3 /\ -32*Ar_0 < 0 /\ 4096*Ar_0^2 + Ar_2^5 < 729*Ar_1 - 728*Ar_2^3 /\ 64*Ar_0 > 0 /\ 16384*Ar_0^2 + Ar_2^5 < 2187*Ar_1 - 2186*Ar_2^3 /\ -128*Ar_0 < 0 /\ 65536*Ar_0^2 + Ar_2^5 < 6561*Ar_1 - 6560*Ar_2^3 /\ 256*Ar_0 > 0 /\ 262144*Ar_0^2 + Ar_2^5 < 19683*Ar_1 - 19682*Ar_2^3 /\ -512*Ar_0 < 0 /\ 1048576*Ar_0^2 + Ar_2^5 < 59049*Ar_1 - 59048*Ar_2^3 /\ 1024*Ar_0 > 0 ] with all transitions in problem 12, the following new transition is obtained:
	l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-8192*Ar_0, 1594323*Ar_1 - 1594322*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 < 0 /\ 16*Ar_0^2 + Ar_2^5 < 9*Ar_1 - 8*Ar_2^3 /\ 4*Ar_0 > 0 /\ 64*Ar_0^2 + Ar_2^5 < 27*Ar_1 - 26*Ar_2^3 /\ -8*Ar_0 < 0 /\ 256*Ar_0^2 + Ar_2^5 < 81*Ar_1 - 80*Ar_2^3 /\ 16*Ar_0 > 0 /\ 1024*Ar_0^2 + Ar_2^5 < 243*Ar_1 - 242*Ar_2^3 /\ -32*Ar_0 < 0 /\ 4096*Ar_0^2 + Ar_2^5 < 729*Ar_1 - 728*Ar_2^3 /\ 64*Ar_0 > 0 /\ 16384*Ar_0^2 + Ar_2^5 < 2187*Ar_1 - 2186*Ar_2^3 /\ -128*Ar_0 < 0 /\ 65536*Ar_0^2 + Ar_2^5 < 6561*Ar_1 - 6560*Ar_2^3 /\ 256*Ar_0 > 0 /\ 262144*Ar_0^2 + Ar_2^5 < 19683*Ar_1 - 19682*Ar_2^3 /\ -512*Ar_0 < 0 /\ 1048576*Ar_0^2 + Ar_2^5 < 59049*Ar_1 - 59048*Ar_2^3 /\ 1024*Ar_0 > 0 /\ 4194304*Ar_0^2 + Ar_2^5 < 177147*Ar_1 - 177146*Ar_2^3 /\ -2048*Ar_0 < 0 /\ 16777216*Ar_0^2 + Ar_2^5 < 531441*Ar_1 - 531440*Ar_2^3 /\ 4096*Ar_0 > 0 ]
We thus obtain the following problem:
13:	T:
		(Comp: 1, Cost: 13)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-8192*Ar_0, 1594323*Ar_1 - 1594322*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 < 0 /\ 16*Ar_0^2 + Ar_2^5 < 9*Ar_1 - 8*Ar_2^3 /\ 4*Ar_0 > 0 /\ 64*Ar_0^2 + Ar_2^5 < 27*Ar_1 - 26*Ar_2^3 /\ -8*Ar_0 < 0 /\ 256*Ar_0^2 + Ar_2^5 < 81*Ar_1 - 80*Ar_2^3 /\ 16*Ar_0 > 0 /\ 1024*Ar_0^2 + Ar_2^5 < 243*Ar_1 - 242*Ar_2^3 /\ -32*Ar_0 < 0 /\ 4096*Ar_0^2 + Ar_2^5 < 729*Ar_1 - 728*Ar_2^3 /\ 64*Ar_0 > 0 /\ 16384*Ar_0^2 + Ar_2^5 < 2187*Ar_1 - 2186*Ar_2^3 /\ -128*Ar_0 < 0 /\ 65536*Ar_0^2 + Ar_2^5 < 6561*Ar_1 - 6560*Ar_2^3 /\ 256*Ar_0 > 0 /\ 262144*Ar_0^2 + Ar_2^5 < 19683*Ar_1 - 19682*Ar_2^3 /\ -512*Ar_0 < 0 /\ 1048576*Ar_0^2 + Ar_2^5 < 59049*Ar_1 - 59048*Ar_2^3 /\ 1024*Ar_0 > 0 /\ 4194304*Ar_0^2 + Ar_2^5 < 177147*Ar_1 - 177146*Ar_2^3 /\ -2048*Ar_0 < 0 /\ 16777216*Ar_0^2 + Ar_2^5 < 531441*Ar_1 - 531440*Ar_2^3 /\ 4096*Ar_0 > 0 ]
		(Comp: ?, Cost: 2)     l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(4*Ar_0, 9*Ar_1 - 8*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 < 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 > 0 ]
		(Comp: 1, Cost: 1)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 /\ Ar_2 > 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-8192*Ar_0, 1594323*Ar_1 - 1594322*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 < 0 /\ 16*Ar_0^2 + Ar_2^5 < 9*Ar_1 - 8*Ar_2^3 /\ 4*Ar_0 > 0 /\ 64*Ar_0^2 + Ar_2^5 < 27*Ar_1 - 26*Ar_2^3 /\ -8*Ar_0 < 0 /\ 256*Ar_0^2 + Ar_2^5 < 81*Ar_1 - 80*Ar_2^3 /\ 16*Ar_0 > 0 /\ 1024*Ar_0^2 + Ar_2^5 < 243*Ar_1 - 242*Ar_2^3 /\ -32*Ar_0 < 0 /\ 4096*Ar_0^2 + Ar_2^5 < 729*Ar_1 - 728*Ar_2^3 /\ 64*Ar_0 > 0 /\ 16384*Ar_0^2 + Ar_2^5 < 2187*Ar_1 - 2186*Ar_2^3 /\ -128*Ar_0 < 0 /\ 65536*Ar_0^2 + Ar_2^5 < 6561*Ar_1 - 6560*Ar_2^3 /\ 256*Ar_0 > 0 /\ 262144*Ar_0^2 + Ar_2^5 < 19683*Ar_1 - 19682*Ar_2^3 /\ -512*Ar_0 < 0 /\ 1048576*Ar_0^2 + Ar_2^5 < 59049*Ar_1 - 59048*Ar_2^3 /\ 1024*Ar_0 > 0 /\ 4194304*Ar_0^2 + Ar_2^5 < 177147*Ar_1 - 177146*Ar_2^3 /\ -2048*Ar_0 < 0 /\ 16777216*Ar_0^2 + Ar_2^5 < 531441*Ar_1 - 531440*Ar_2^3 /\ 4096*Ar_0 > 0 ] with all transitions in problem 13, the following new transition is obtained:
	l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-32768*Ar_0, 14348907*Ar_1 - 14348906*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 < 0 /\ 16*Ar_0^2 + Ar_2^5 < 9*Ar_1 - 8*Ar_2^3 /\ 4*Ar_0 > 0 /\ 64*Ar_0^2 + Ar_2^5 < 27*Ar_1 - 26*Ar_2^3 /\ -8*Ar_0 < 0 /\ 256*Ar_0^2 + Ar_2^5 < 81*Ar_1 - 80*Ar_2^3 /\ 16*Ar_0 > 0 /\ 1024*Ar_0^2 + Ar_2^5 < 243*Ar_1 - 242*Ar_2^3 /\ -32*Ar_0 < 0 /\ 4096*Ar_0^2 + Ar_2^5 < 729*Ar_1 - 728*Ar_2^3 /\ 64*Ar_0 > 0 /\ 16384*Ar_0^2 + Ar_2^5 < 2187*Ar_1 - 2186*Ar_2^3 /\ -128*Ar_0 < 0 /\ 65536*Ar_0^2 + Ar_2^5 < 6561*Ar_1 - 6560*Ar_2^3 /\ 256*Ar_0 > 0 /\ 262144*Ar_0^2 + Ar_2^5 < 19683*Ar_1 - 19682*Ar_2^3 /\ -512*Ar_0 < 0 /\ 1048576*Ar_0^2 + Ar_2^5 < 59049*Ar_1 - 59048*Ar_2^3 /\ 1024*Ar_0 > 0 /\ 4194304*Ar_0^2 + Ar_2^5 < 177147*Ar_1 - 177146*Ar_2^3 /\ -2048*Ar_0 < 0 /\ 16777216*Ar_0^2 + Ar_2^5 < 531441*Ar_1 - 531440*Ar_2^3 /\ 4096*Ar_0 > 0 /\ 67108864*Ar_0^2 + Ar_2^5 < 1594323*Ar_1 - 1594322*Ar_2^3 /\ -8192*Ar_0 < 0 /\ 268435456*Ar_0^2 + Ar_2^5 < 4782969*Ar_1 - 4782968*Ar_2^3 /\ 16384*Ar_0 > 0 ]
We thus obtain the following problem:
14:	T:
		(Comp: 1, Cost: 15)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-32768*Ar_0, 14348907*Ar_1 - 14348906*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 < 0 /\ 16*Ar_0^2 + Ar_2^5 < 9*Ar_1 - 8*Ar_2^3 /\ 4*Ar_0 > 0 /\ 64*Ar_0^2 + Ar_2^5 < 27*Ar_1 - 26*Ar_2^3 /\ -8*Ar_0 < 0 /\ 256*Ar_0^2 + Ar_2^5 < 81*Ar_1 - 80*Ar_2^3 /\ 16*Ar_0 > 0 /\ 1024*Ar_0^2 + Ar_2^5 < 243*Ar_1 - 242*Ar_2^3 /\ -32*Ar_0 < 0 /\ 4096*Ar_0^2 + Ar_2^5 < 729*Ar_1 - 728*Ar_2^3 /\ 64*Ar_0 > 0 /\ 16384*Ar_0^2 + Ar_2^5 < 2187*Ar_1 - 2186*Ar_2^3 /\ -128*Ar_0 < 0 /\ 65536*Ar_0^2 + Ar_2^5 < 6561*Ar_1 - 6560*Ar_2^3 /\ 256*Ar_0 > 0 /\ 262144*Ar_0^2 + Ar_2^5 < 19683*Ar_1 - 19682*Ar_2^3 /\ -512*Ar_0 < 0 /\ 1048576*Ar_0^2 + Ar_2^5 < 59049*Ar_1 - 59048*Ar_2^3 /\ 1024*Ar_0 > 0 /\ 4194304*Ar_0^2 + Ar_2^5 < 177147*Ar_1 - 177146*Ar_2^3 /\ -2048*Ar_0 < 0 /\ 16777216*Ar_0^2 + Ar_2^5 < 531441*Ar_1 - 531440*Ar_2^3 /\ 4096*Ar_0 > 0 /\ 67108864*Ar_0^2 + Ar_2^5 < 1594323*Ar_1 - 1594322*Ar_2^3 /\ -8192*Ar_0 < 0 /\ 268435456*Ar_0^2 + Ar_2^5 < 4782969*Ar_1 - 4782968*Ar_2^3 /\ 16384*Ar_0 > 0 ]
		(Comp: ?, Cost: 2)     l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(4*Ar_0, 9*Ar_1 - 8*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 < 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 > 0 ]
		(Comp: 1, Cost: 1)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 /\ Ar_2 > 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-32768*Ar_0, 14348907*Ar_1 - 14348906*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 < 0 /\ 16*Ar_0^2 + Ar_2^5 < 9*Ar_1 - 8*Ar_2^3 /\ 4*Ar_0 > 0 /\ 64*Ar_0^2 + Ar_2^5 < 27*Ar_1 - 26*Ar_2^3 /\ -8*Ar_0 < 0 /\ 256*Ar_0^2 + Ar_2^5 < 81*Ar_1 - 80*Ar_2^3 /\ 16*Ar_0 > 0 /\ 1024*Ar_0^2 + Ar_2^5 < 243*Ar_1 - 242*Ar_2^3 /\ -32*Ar_0 < 0 /\ 4096*Ar_0^2 + Ar_2^5 < 729*Ar_1 - 728*Ar_2^3 /\ 64*Ar_0 > 0 /\ 16384*Ar_0^2 + Ar_2^5 < 2187*Ar_1 - 2186*Ar_2^3 /\ -128*Ar_0 < 0 /\ 65536*Ar_0^2 + Ar_2^5 < 6561*Ar_1 - 6560*Ar_2^3 /\ 256*Ar_0 > 0 /\ 262144*Ar_0^2 + Ar_2^5 < 19683*Ar_1 - 19682*Ar_2^3 /\ -512*Ar_0 < 0 /\ 1048576*Ar_0^2 + Ar_2^5 < 59049*Ar_1 - 59048*Ar_2^3 /\ 1024*Ar_0 > 0 /\ 4194304*Ar_0^2 + Ar_2^5 < 177147*Ar_1 - 177146*Ar_2^3 /\ -2048*Ar_0 < 0 /\ 16777216*Ar_0^2 + Ar_2^5 < 531441*Ar_1 - 531440*Ar_2^3 /\ 4096*Ar_0 > 0 /\ 67108864*Ar_0^2 + Ar_2^5 < 1594323*Ar_1 - 1594322*Ar_2^3 /\ -8192*Ar_0 < 0 /\ 268435456*Ar_0^2 + Ar_2^5 < 4782969*Ar_1 - 4782968*Ar_2^3 /\ 16384*Ar_0 > 0 ] with all transitions in problem 14, the following new transition is obtained:
	l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-131072*Ar_0, 129140163*Ar_1 - 129140162*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 < 0 /\ 16*Ar_0^2 + Ar_2^5 < 9*Ar_1 - 8*Ar_2^3 /\ 4*Ar_0 > 0 /\ 64*Ar_0^2 + Ar_2^5 < 27*Ar_1 - 26*Ar_2^3 /\ -8*Ar_0 < 0 /\ 256*Ar_0^2 + Ar_2^5 < 81*Ar_1 - 80*Ar_2^3 /\ 16*Ar_0 > 0 /\ 1024*Ar_0^2 + Ar_2^5 < 243*Ar_1 - 242*Ar_2^3 /\ -32*Ar_0 < 0 /\ 4096*Ar_0^2 + Ar_2^5 < 729*Ar_1 - 728*Ar_2^3 /\ 64*Ar_0 > 0 /\ 16384*Ar_0^2 + Ar_2^5 < 2187*Ar_1 - 2186*Ar_2^3 /\ -128*Ar_0 < 0 /\ 65536*Ar_0^2 + Ar_2^5 < 6561*Ar_1 - 6560*Ar_2^3 /\ 256*Ar_0 > 0 /\ 262144*Ar_0^2 + Ar_2^5 < 19683*Ar_1 - 19682*Ar_2^3 /\ -512*Ar_0 < 0 /\ 1048576*Ar_0^2 + Ar_2^5 < 59049*Ar_1 - 59048*Ar_2^3 /\ 1024*Ar_0 > 0 /\ 4194304*Ar_0^2 + Ar_2^5 < 177147*Ar_1 - 177146*Ar_2^3 /\ -2048*Ar_0 < 0 /\ 16777216*Ar_0^2 + Ar_2^5 < 531441*Ar_1 - 531440*Ar_2^3 /\ 4096*Ar_0 > 0 /\ 67108864*Ar_0^2 + Ar_2^5 < 1594323*Ar_1 - 1594322*Ar_2^3 /\ -8192*Ar_0 < 0 /\ 268435456*Ar_0^2 + Ar_2^5 < 4782969*Ar_1 - 4782968*Ar_2^3 /\ 16384*Ar_0 > 0 /\ 1073741824*Ar_0^2 + Ar_2^5 < 14348907*Ar_1 - 14348906*Ar_2^3 /\ -32768*Ar_0 < 0 /\ 4294967296*Ar_0^2 + Ar_2^5 < 43046721*Ar_1 - 43046720*Ar_2^3 /\ 65536*Ar_0 > 0 ]
We thus obtain the following problem:
15:	T:
		(Comp: 1, Cost: 17)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-131072*Ar_0, 129140163*Ar_1 - 129140162*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 < 0 /\ 16*Ar_0^2 + Ar_2^5 < 9*Ar_1 - 8*Ar_2^3 /\ 4*Ar_0 > 0 /\ 64*Ar_0^2 + Ar_2^5 < 27*Ar_1 - 26*Ar_2^3 /\ -8*Ar_0 < 0 /\ 256*Ar_0^2 + Ar_2^5 < 81*Ar_1 - 80*Ar_2^3 /\ 16*Ar_0 > 0 /\ 1024*Ar_0^2 + Ar_2^5 < 243*Ar_1 - 242*Ar_2^3 /\ -32*Ar_0 < 0 /\ 4096*Ar_0^2 + Ar_2^5 < 729*Ar_1 - 728*Ar_2^3 /\ 64*Ar_0 > 0 /\ 16384*Ar_0^2 + Ar_2^5 < 2187*Ar_1 - 2186*Ar_2^3 /\ -128*Ar_0 < 0 /\ 65536*Ar_0^2 + Ar_2^5 < 6561*Ar_1 - 6560*Ar_2^3 /\ 256*Ar_0 > 0 /\ 262144*Ar_0^2 + Ar_2^5 < 19683*Ar_1 - 19682*Ar_2^3 /\ -512*Ar_0 < 0 /\ 1048576*Ar_0^2 + Ar_2^5 < 59049*Ar_1 - 59048*Ar_2^3 /\ 1024*Ar_0 > 0 /\ 4194304*Ar_0^2 + Ar_2^5 < 177147*Ar_1 - 177146*Ar_2^3 /\ -2048*Ar_0 < 0 /\ 16777216*Ar_0^2 + Ar_2^5 < 531441*Ar_1 - 531440*Ar_2^3 /\ 4096*Ar_0 > 0 /\ 67108864*Ar_0^2 + Ar_2^5 < 1594323*Ar_1 - 1594322*Ar_2^3 /\ -8192*Ar_0 < 0 /\ 268435456*Ar_0^2 + Ar_2^5 < 4782969*Ar_1 - 4782968*Ar_2^3 /\ 16384*Ar_0 > 0 /\ 1073741824*Ar_0^2 + Ar_2^5 < 14348907*Ar_1 - 14348906*Ar_2^3 /\ -32768*Ar_0 < 0 /\ 4294967296*Ar_0^2 + Ar_2^5 < 43046721*Ar_1 - 43046720*Ar_2^3 /\ 65536*Ar_0 > 0 ]
		(Comp: ?, Cost: 2)     l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(4*Ar_0, 9*Ar_1 - 8*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 < 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 > 0 ]
		(Comp: 1, Cost: 1)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 /\ Ar_2 > 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-131072*Ar_0, 129140163*Ar_1 - 129140162*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 < 0 /\ 16*Ar_0^2 + Ar_2^5 < 9*Ar_1 - 8*Ar_2^3 /\ 4*Ar_0 > 0 /\ 64*Ar_0^2 + Ar_2^5 < 27*Ar_1 - 26*Ar_2^3 /\ -8*Ar_0 < 0 /\ 256*Ar_0^2 + Ar_2^5 < 81*Ar_1 - 80*Ar_2^3 /\ 16*Ar_0 > 0 /\ 1024*Ar_0^2 + Ar_2^5 < 243*Ar_1 - 242*Ar_2^3 /\ -32*Ar_0 < 0 /\ 4096*Ar_0^2 + Ar_2^5 < 729*Ar_1 - 728*Ar_2^3 /\ 64*Ar_0 > 0 /\ 16384*Ar_0^2 + Ar_2^5 < 2187*Ar_1 - 2186*Ar_2^3 /\ -128*Ar_0 < 0 /\ 65536*Ar_0^2 + Ar_2^5 < 6561*Ar_1 - 6560*Ar_2^3 /\ 256*Ar_0 > 0 /\ 262144*Ar_0^2 + Ar_2^5 < 19683*Ar_1 - 19682*Ar_2^3 /\ -512*Ar_0 < 0 /\ 1048576*Ar_0^2 + Ar_2^5 < 59049*Ar_1 - 59048*Ar_2^3 /\ 1024*Ar_0 > 0 /\ 4194304*Ar_0^2 + Ar_2^5 < 177147*Ar_1 - 177146*Ar_2^3 /\ -2048*Ar_0 < 0 /\ 16777216*Ar_0^2 + Ar_2^5 < 531441*Ar_1 - 531440*Ar_2^3 /\ 4096*Ar_0 > 0 /\ 67108864*Ar_0^2 + Ar_2^5 < 1594323*Ar_1 - 1594322*Ar_2^3 /\ -8192*Ar_0 < 0 /\ 268435456*Ar_0^2 + Ar_2^5 < 4782969*Ar_1 - 4782968*Ar_2^3 /\ 16384*Ar_0 > 0 /\ 1073741824*Ar_0^2 + Ar_2^5 < 14348907*Ar_1 - 14348906*Ar_2^3 /\ -32768*Ar_0 < 0 /\ 4294967296*Ar_0^2 + Ar_2^5 < 43046721*Ar_1 - 43046720*Ar_2^3 /\ 65536*Ar_0 > 0 ] with all transitions in problem 15, the following new transition is obtained:
	l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-524288*Ar_0, 1162261467*Ar_1 - 1162261466*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 < 0 /\ 16*Ar_0^2 + Ar_2^5 < 9*Ar_1 - 8*Ar_2^3 /\ 4*Ar_0 > 0 /\ 64*Ar_0^2 + Ar_2^5 < 27*Ar_1 - 26*Ar_2^3 /\ -8*Ar_0 < 0 /\ 256*Ar_0^2 + Ar_2^5 < 81*Ar_1 - 80*Ar_2^3 /\ 16*Ar_0 > 0 /\ 1024*Ar_0^2 + Ar_2^5 < 243*Ar_1 - 242*Ar_2^3 /\ -32*Ar_0 < 0 /\ 4096*Ar_0^2 + Ar_2^5 < 729*Ar_1 - 728*Ar_2^3 /\ 64*Ar_0 > 0 /\ 16384*Ar_0^2 + Ar_2^5 < 2187*Ar_1 - 2186*Ar_2^3 /\ -128*Ar_0 < 0 /\ 65536*Ar_0^2 + Ar_2^5 < 6561*Ar_1 - 6560*Ar_2^3 /\ 256*Ar_0 > 0 /\ 262144*Ar_0^2 + Ar_2^5 < 19683*Ar_1 - 19682*Ar_2^3 /\ -512*Ar_0 < 0 /\ 1048576*Ar_0^2 + Ar_2^5 < 59049*Ar_1 - 59048*Ar_2^3 /\ 1024*Ar_0 > 0 /\ 4194304*Ar_0^2 + Ar_2^5 < 177147*Ar_1 - 177146*Ar_2^3 /\ -2048*Ar_0 < 0 /\ 16777216*Ar_0^2 + Ar_2^5 < 531441*Ar_1 - 531440*Ar_2^3 /\ 4096*Ar_0 > 0 /\ 67108864*Ar_0^2 + Ar_2^5 < 1594323*Ar_1 - 1594322*Ar_2^3 /\ -8192*Ar_0 < 0 /\ 268435456*Ar_0^2 + Ar_2^5 < 4782969*Ar_1 - 4782968*Ar_2^3 /\ 16384*Ar_0 > 0 /\ 1073741824*Ar_0^2 + Ar_2^5 < 14348907*Ar_1 - 14348906*Ar_2^3 /\ -32768*Ar_0 < 0 /\ 4294967296*Ar_0^2 + Ar_2^5 < 43046721*Ar_1 - 43046720*Ar_2^3 /\ 65536*Ar_0 > 0 /\ 17179869184*Ar_0^2 + Ar_2^5 < 129140163*Ar_1 - 129140162*Ar_2^3 /\ -131072*Ar_0 < 0 /\ 68719476736*Ar_0^2 + Ar_2^5 < 387420489*Ar_1 - 387420488*Ar_2^3 /\ 262144*Ar_0 > 0 ]
We thus obtain the following problem:
16:	T:
		(Comp: 1, Cost: 19)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-524288*Ar_0, 1162261467*Ar_1 - 1162261466*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 < 0 /\ 16*Ar_0^2 + Ar_2^5 < 9*Ar_1 - 8*Ar_2^3 /\ 4*Ar_0 > 0 /\ 64*Ar_0^2 + Ar_2^5 < 27*Ar_1 - 26*Ar_2^3 /\ -8*Ar_0 < 0 /\ 256*Ar_0^2 + Ar_2^5 < 81*Ar_1 - 80*Ar_2^3 /\ 16*Ar_0 > 0 /\ 1024*Ar_0^2 + Ar_2^5 < 243*Ar_1 - 242*Ar_2^3 /\ -32*Ar_0 < 0 /\ 4096*Ar_0^2 + Ar_2^5 < 729*Ar_1 - 728*Ar_2^3 /\ 64*Ar_0 > 0 /\ 16384*Ar_0^2 + Ar_2^5 < 2187*Ar_1 - 2186*Ar_2^3 /\ -128*Ar_0 < 0 /\ 65536*Ar_0^2 + Ar_2^5 < 6561*Ar_1 - 6560*Ar_2^3 /\ 256*Ar_0 > 0 /\ 262144*Ar_0^2 + Ar_2^5 < 19683*Ar_1 - 19682*Ar_2^3 /\ -512*Ar_0 < 0 /\ 1048576*Ar_0^2 + Ar_2^5 < 59049*Ar_1 - 59048*Ar_2^3 /\ 1024*Ar_0 > 0 /\ 4194304*Ar_0^2 + Ar_2^5 < 177147*Ar_1 - 177146*Ar_2^3 /\ -2048*Ar_0 < 0 /\ 16777216*Ar_0^2 + Ar_2^5 < 531441*Ar_1 - 531440*Ar_2^3 /\ 4096*Ar_0 > 0 /\ 67108864*Ar_0^2 + Ar_2^5 < 1594323*Ar_1 - 1594322*Ar_2^3 /\ -8192*Ar_0 < 0 /\ 268435456*Ar_0^2 + Ar_2^5 < 4782969*Ar_1 - 4782968*Ar_2^3 /\ 16384*Ar_0 > 0 /\ 1073741824*Ar_0^2 + Ar_2^5 < 14348907*Ar_1 - 14348906*Ar_2^3 /\ -32768*Ar_0 < 0 /\ 4294967296*Ar_0^2 + Ar_2^5 < 43046721*Ar_1 - 43046720*Ar_2^3 /\ 65536*Ar_0 > 0 /\ 17179869184*Ar_0^2 + Ar_2^5 < 129140163*Ar_1 - 129140162*Ar_2^3 /\ -131072*Ar_0 < 0 /\ 68719476736*Ar_0^2 + Ar_2^5 < 387420489*Ar_1 - 387420488*Ar_2^3 /\ 262144*Ar_0 > 0 ]
		(Comp: ?, Cost: 2)     l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(4*Ar_0, 9*Ar_1 - 8*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 < 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 > 0 ]
		(Comp: 1, Cost: 1)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 /\ Ar_2 > 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-524288*Ar_0, 1162261467*Ar_1 - 1162261466*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 < 0 /\ 16*Ar_0^2 + Ar_2^5 < 9*Ar_1 - 8*Ar_2^3 /\ 4*Ar_0 > 0 /\ 64*Ar_0^2 + Ar_2^5 < 27*Ar_1 - 26*Ar_2^3 /\ -8*Ar_0 < 0 /\ 256*Ar_0^2 + Ar_2^5 < 81*Ar_1 - 80*Ar_2^3 /\ 16*Ar_0 > 0 /\ 1024*Ar_0^2 + Ar_2^5 < 243*Ar_1 - 242*Ar_2^3 /\ -32*Ar_0 < 0 /\ 4096*Ar_0^2 + Ar_2^5 < 729*Ar_1 - 728*Ar_2^3 /\ 64*Ar_0 > 0 /\ 16384*Ar_0^2 + Ar_2^5 < 2187*Ar_1 - 2186*Ar_2^3 /\ -128*Ar_0 < 0 /\ 65536*Ar_0^2 + Ar_2^5 < 6561*Ar_1 - 6560*Ar_2^3 /\ 256*Ar_0 > 0 /\ 262144*Ar_0^2 + Ar_2^5 < 19683*Ar_1 - 19682*Ar_2^3 /\ -512*Ar_0 < 0 /\ 1048576*Ar_0^2 + Ar_2^5 < 59049*Ar_1 - 59048*Ar_2^3 /\ 1024*Ar_0 > 0 /\ 4194304*Ar_0^2 + Ar_2^5 < 177147*Ar_1 - 177146*Ar_2^3 /\ -2048*Ar_0 < 0 /\ 16777216*Ar_0^2 + Ar_2^5 < 531441*Ar_1 - 531440*Ar_2^3 /\ 4096*Ar_0 > 0 /\ 67108864*Ar_0^2 + Ar_2^5 < 1594323*Ar_1 - 1594322*Ar_2^3 /\ -8192*Ar_0 < 0 /\ 268435456*Ar_0^2 + Ar_2^5 < 4782969*Ar_1 - 4782968*Ar_2^3 /\ 16384*Ar_0 > 0 /\ 1073741824*Ar_0^2 + Ar_2^5 < 14348907*Ar_1 - 14348906*Ar_2^3 /\ -32768*Ar_0 < 0 /\ 4294967296*Ar_0^2 + Ar_2^5 < 43046721*Ar_1 - 43046720*Ar_2^3 /\ 65536*Ar_0 > 0 /\ 17179869184*Ar_0^2 + Ar_2^5 < 129140163*Ar_1 - 129140162*Ar_2^3 /\ -131072*Ar_0 < 0 /\ 68719476736*Ar_0^2 + Ar_2^5 < 387420489*Ar_1 - 387420488*Ar_2^3 /\ 262144*Ar_0 > 0 ] with all transitions in problem 16, the following new transition is obtained:
	l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-2097152*Ar_0, 10460353203*Ar_1 - 10460353202*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 < 0 /\ 16*Ar_0^2 + Ar_2^5 < 9*Ar_1 - 8*Ar_2^3 /\ 4*Ar_0 > 0 /\ 64*Ar_0^2 + Ar_2^5 < 27*Ar_1 - 26*Ar_2^3 /\ -8*Ar_0 < 0 /\ 256*Ar_0^2 + Ar_2^5 < 81*Ar_1 - 80*Ar_2^3 /\ 16*Ar_0 > 0 /\ 1024*Ar_0^2 + Ar_2^5 < 243*Ar_1 - 242*Ar_2^3 /\ -32*Ar_0 < 0 /\ 4096*Ar_0^2 + Ar_2^5 < 729*Ar_1 - 728*Ar_2^3 /\ 64*Ar_0 > 0 /\ 16384*Ar_0^2 + Ar_2^5 < 2187*Ar_1 - 2186*Ar_2^3 /\ -128*Ar_0 < 0 /\ 65536*Ar_0^2 + Ar_2^5 < 6561*Ar_1 - 6560*Ar_2^3 /\ 256*Ar_0 > 0 /\ 262144*Ar_0^2 + Ar_2^5 < 19683*Ar_1 - 19682*Ar_2^3 /\ -512*Ar_0 < 0 /\ 1048576*Ar_0^2 + Ar_2^5 < 59049*Ar_1 - 59048*Ar_2^3 /\ 1024*Ar_0 > 0 /\ 4194304*Ar_0^2 + Ar_2^5 < 177147*Ar_1 - 177146*Ar_2^3 /\ -2048*Ar_0 < 0 /\ 16777216*Ar_0^2 + Ar_2^5 < 531441*Ar_1 - 531440*Ar_2^3 /\ 4096*Ar_0 > 0 /\ 67108864*Ar_0^2 + Ar_2^5 < 1594323*Ar_1 - 1594322*Ar_2^3 /\ -8192*Ar_0 < 0 /\ 268435456*Ar_0^2 + Ar_2^5 < 4782969*Ar_1 - 4782968*Ar_2^3 /\ 16384*Ar_0 > 0 /\ 1073741824*Ar_0^2 + Ar_2^5 < 14348907*Ar_1 - 14348906*Ar_2^3 /\ -32768*Ar_0 < 0 /\ 4294967296*Ar_0^2 + Ar_2^5 < 43046721*Ar_1 - 43046720*Ar_2^3 /\ 65536*Ar_0 > 0 /\ 17179869184*Ar_0^2 + Ar_2^5 < 129140163*Ar_1 - 129140162*Ar_2^3 /\ -131072*Ar_0 < 0 /\ 68719476736*Ar_0^2 + Ar_2^5 < 387420489*Ar_1 - 387420488*Ar_2^3 /\ 262144*Ar_0 > 0 /\ 274877906944*Ar_0^2 + Ar_2^5 < 1162261467*Ar_1 - 1162261466*Ar_2^3 /\ -524288*Ar_0 < 0 /\ 1099511627776*Ar_0^2 + Ar_2^5 < 3486784401*Ar_1 - 3486784400*Ar_2^3 /\ 1048576*Ar_0 > 0 ]
We thus obtain the following problem:
17:	T:
		(Comp: 1, Cost: 21)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-2097152*Ar_0, 10460353203*Ar_1 - 10460353202*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 < 0 /\ 16*Ar_0^2 + Ar_2^5 < 9*Ar_1 - 8*Ar_2^3 /\ 4*Ar_0 > 0 /\ 64*Ar_0^2 + Ar_2^5 < 27*Ar_1 - 26*Ar_2^3 /\ -8*Ar_0 < 0 /\ 256*Ar_0^2 + Ar_2^5 < 81*Ar_1 - 80*Ar_2^3 /\ 16*Ar_0 > 0 /\ 1024*Ar_0^2 + Ar_2^5 < 243*Ar_1 - 242*Ar_2^3 /\ -32*Ar_0 < 0 /\ 4096*Ar_0^2 + Ar_2^5 < 729*Ar_1 - 728*Ar_2^3 /\ 64*Ar_0 > 0 /\ 16384*Ar_0^2 + Ar_2^5 < 2187*Ar_1 - 2186*Ar_2^3 /\ -128*Ar_0 < 0 /\ 65536*Ar_0^2 + Ar_2^5 < 6561*Ar_1 - 6560*Ar_2^3 /\ 256*Ar_0 > 0 /\ 262144*Ar_0^2 + Ar_2^5 < 19683*Ar_1 - 19682*Ar_2^3 /\ -512*Ar_0 < 0 /\ 1048576*Ar_0^2 + Ar_2^5 < 59049*Ar_1 - 59048*Ar_2^3 /\ 1024*Ar_0 > 0 /\ 4194304*Ar_0^2 + Ar_2^5 < 177147*Ar_1 - 177146*Ar_2^3 /\ -2048*Ar_0 < 0 /\ 16777216*Ar_0^2 + Ar_2^5 < 531441*Ar_1 - 531440*Ar_2^3 /\ 4096*Ar_0 > 0 /\ 67108864*Ar_0^2 + Ar_2^5 < 1594323*Ar_1 - 1594322*Ar_2^3 /\ -8192*Ar_0 < 0 /\ 268435456*Ar_0^2 + Ar_2^5 < 4782969*Ar_1 - 4782968*Ar_2^3 /\ 16384*Ar_0 > 0 /\ 1073741824*Ar_0^2 + Ar_2^5 < 14348907*Ar_1 - 14348906*Ar_2^3 /\ -32768*Ar_0 < 0 /\ 4294967296*Ar_0^2 + Ar_2^5 < 43046721*Ar_1 - 43046720*Ar_2^3 /\ 65536*Ar_0 > 0 /\ 17179869184*Ar_0^2 + Ar_2^5 < 129140163*Ar_1 - 129140162*Ar_2^3 /\ -131072*Ar_0 < 0 /\ 68719476736*Ar_0^2 + Ar_2^5 < 387420489*Ar_1 - 387420488*Ar_2^3 /\ 262144*Ar_0 > 0 /\ 274877906944*Ar_0^2 + Ar_2^5 < 1162261467*Ar_1 - 1162261466*Ar_2^3 /\ -524288*Ar_0 < 0 /\ 1099511627776*Ar_0^2 + Ar_2^5 < 3486784401*Ar_1 - 3486784400*Ar_2^3 /\ 1048576*Ar_0 > 0 ]
		(Comp: ?, Cost: 2)     l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(4*Ar_0, 9*Ar_1 - 8*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 < 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 > 0 ]
		(Comp: 1, Cost: 1)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 /\ Ar_2 > 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-2097152*Ar_0, 10460353203*Ar_1 - 10460353202*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 < 0 /\ 16*Ar_0^2 + Ar_2^5 < 9*Ar_1 - 8*Ar_2^3 /\ 4*Ar_0 > 0 /\ 64*Ar_0^2 + Ar_2^5 < 27*Ar_1 - 26*Ar_2^3 /\ -8*Ar_0 < 0 /\ 256*Ar_0^2 + Ar_2^5 < 81*Ar_1 - 80*Ar_2^3 /\ 16*Ar_0 > 0 /\ 1024*Ar_0^2 + Ar_2^5 < 243*Ar_1 - 242*Ar_2^3 /\ -32*Ar_0 < 0 /\ 4096*Ar_0^2 + Ar_2^5 < 729*Ar_1 - 728*Ar_2^3 /\ 64*Ar_0 > 0 /\ 16384*Ar_0^2 + Ar_2^5 < 2187*Ar_1 - 2186*Ar_2^3 /\ -128*Ar_0 < 0 /\ 65536*Ar_0^2 + Ar_2^5 < 6561*Ar_1 - 6560*Ar_2^3 /\ 256*Ar_0 > 0 /\ 262144*Ar_0^2 + Ar_2^5 < 19683*Ar_1 - 19682*Ar_2^3 /\ -512*Ar_0 < 0 /\ 1048576*Ar_0^2 + Ar_2^5 < 59049*Ar_1 - 59048*Ar_2^3 /\ 1024*Ar_0 > 0 /\ 4194304*Ar_0^2 + Ar_2^5 < 177147*Ar_1 - 177146*Ar_2^3 /\ -2048*Ar_0 < 0 /\ 16777216*Ar_0^2 + Ar_2^5 < 531441*Ar_1 - 531440*Ar_2^3 /\ 4096*Ar_0 > 0 /\ 67108864*Ar_0^2 + Ar_2^5 < 1594323*Ar_1 - 1594322*Ar_2^3 /\ -8192*Ar_0 < 0 /\ 268435456*Ar_0^2 + Ar_2^5 < 4782969*Ar_1 - 4782968*Ar_2^3 /\ 16384*Ar_0 > 0 /\ 1073741824*Ar_0^2 + Ar_2^5 < 14348907*Ar_1 - 14348906*Ar_2^3 /\ -32768*Ar_0 < 0 /\ 4294967296*Ar_0^2 + Ar_2^5 < 43046721*Ar_1 - 43046720*Ar_2^3 /\ 65536*Ar_0 > 0 /\ 17179869184*Ar_0^2 + Ar_2^5 < 129140163*Ar_1 - 129140162*Ar_2^3 /\ -131072*Ar_0 < 0 /\ 68719476736*Ar_0^2 + Ar_2^5 < 387420489*Ar_1 - 387420488*Ar_2^3 /\ 262144*Ar_0 > 0 /\ 274877906944*Ar_0^2 + Ar_2^5 < 1162261467*Ar_1 - 1162261466*Ar_2^3 /\ -524288*Ar_0 < 0 /\ 1099511627776*Ar_0^2 + Ar_2^5 < 3486784401*Ar_1 - 3486784400*Ar_2^3 /\ 1048576*Ar_0 > 0 ] with all transitions in problem 17, the following new transition is obtained:
	l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-8388608*Ar_0, 94143178827*Ar_1 - 94143178826*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 < 0 /\ 16*Ar_0^2 + Ar_2^5 < 9*Ar_1 - 8*Ar_2^3 /\ 4*Ar_0 > 0 /\ 64*Ar_0^2 + Ar_2^5 < 27*Ar_1 - 26*Ar_2^3 /\ -8*Ar_0 < 0 /\ 256*Ar_0^2 + Ar_2^5 < 81*Ar_1 - 80*Ar_2^3 /\ 16*Ar_0 > 0 /\ 1024*Ar_0^2 + Ar_2^5 < 243*Ar_1 - 242*Ar_2^3 /\ -32*Ar_0 < 0 /\ 4096*Ar_0^2 + Ar_2^5 < 729*Ar_1 - 728*Ar_2^3 /\ 64*Ar_0 > 0 /\ 16384*Ar_0^2 + Ar_2^5 < 2187*Ar_1 - 2186*Ar_2^3 /\ -128*Ar_0 < 0 /\ 65536*Ar_0^2 + Ar_2^5 < 6561*Ar_1 - 6560*Ar_2^3 /\ 256*Ar_0 > 0 /\ 262144*Ar_0^2 + Ar_2^5 < 19683*Ar_1 - 19682*Ar_2^3 /\ -512*Ar_0 < 0 /\ 1048576*Ar_0^2 + Ar_2^5 < 59049*Ar_1 - 59048*Ar_2^3 /\ 1024*Ar_0 > 0 /\ 4194304*Ar_0^2 + Ar_2^5 < 177147*Ar_1 - 177146*Ar_2^3 /\ -2048*Ar_0 < 0 /\ 16777216*Ar_0^2 + Ar_2^5 < 531441*Ar_1 - 531440*Ar_2^3 /\ 4096*Ar_0 > 0 /\ 67108864*Ar_0^2 + Ar_2^5 < 1594323*Ar_1 - 1594322*Ar_2^3 /\ -8192*Ar_0 < 0 /\ 268435456*Ar_0^2 + Ar_2^5 < 4782969*Ar_1 - 4782968*Ar_2^3 /\ 16384*Ar_0 > 0 /\ 1073741824*Ar_0^2 + Ar_2^5 < 14348907*Ar_1 - 14348906*Ar_2^3 /\ -32768*Ar_0 < 0 /\ 4294967296*Ar_0^2 + Ar_2^5 < 43046721*Ar_1 - 43046720*Ar_2^3 /\ 65536*Ar_0 > 0 /\ 17179869184*Ar_0^2 + Ar_2^5 < 129140163*Ar_1 - 129140162*Ar_2^3 /\ -131072*Ar_0 < 0 /\ 68719476736*Ar_0^2 + Ar_2^5 < 387420489*Ar_1 - 387420488*Ar_2^3 /\ 262144*Ar_0 > 0 /\ 274877906944*Ar_0^2 + Ar_2^5 < 1162261467*Ar_1 - 1162261466*Ar_2^3 /\ -524288*Ar_0 < 0 /\ 1099511627776*Ar_0^2 + Ar_2^5 < 3486784401*Ar_1 - 3486784400*Ar_2^3 /\ 1048576*Ar_0 > 0 /\ 4398046511104*Ar_0^2 + Ar_2^5 < 10460353203*Ar_1 - 10460353202*Ar_2^3 /\ -2097152*Ar_0 < 0 /\ 17592186044416*Ar_0^2 + Ar_2^5 < 31381059609*Ar_1 - 31381059608*Ar_2^3 /\ 4194304*Ar_0 > 0 ]
We thus obtain the following problem:
18:	T:
		(Comp: 1, Cost: 23)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-8388608*Ar_0, 94143178827*Ar_1 - 94143178826*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 < 0 /\ 16*Ar_0^2 + Ar_2^5 < 9*Ar_1 - 8*Ar_2^3 /\ 4*Ar_0 > 0 /\ 64*Ar_0^2 + Ar_2^5 < 27*Ar_1 - 26*Ar_2^3 /\ -8*Ar_0 < 0 /\ 256*Ar_0^2 + Ar_2^5 < 81*Ar_1 - 80*Ar_2^3 /\ 16*Ar_0 > 0 /\ 1024*Ar_0^2 + Ar_2^5 < 243*Ar_1 - 242*Ar_2^3 /\ -32*Ar_0 < 0 /\ 4096*Ar_0^2 + Ar_2^5 < 729*Ar_1 - 728*Ar_2^3 /\ 64*Ar_0 > 0 /\ 16384*Ar_0^2 + Ar_2^5 < 2187*Ar_1 - 2186*Ar_2^3 /\ -128*Ar_0 < 0 /\ 65536*Ar_0^2 + Ar_2^5 < 6561*Ar_1 - 6560*Ar_2^3 /\ 256*Ar_0 > 0 /\ 262144*Ar_0^2 + Ar_2^5 < 19683*Ar_1 - 19682*Ar_2^3 /\ -512*Ar_0 < 0 /\ 1048576*Ar_0^2 + Ar_2^5 < 59049*Ar_1 - 59048*Ar_2^3 /\ 1024*Ar_0 > 0 /\ 4194304*Ar_0^2 + Ar_2^5 < 177147*Ar_1 - 177146*Ar_2^3 /\ -2048*Ar_0 < 0 /\ 16777216*Ar_0^2 + Ar_2^5 < 531441*Ar_1 - 531440*Ar_2^3 /\ 4096*Ar_0 > 0 /\ 67108864*Ar_0^2 + Ar_2^5 < 1594323*Ar_1 - 1594322*Ar_2^3 /\ -8192*Ar_0 < 0 /\ 268435456*Ar_0^2 + Ar_2^5 < 4782969*Ar_1 - 4782968*Ar_2^3 /\ 16384*Ar_0 > 0 /\ 1073741824*Ar_0^2 + Ar_2^5 < 14348907*Ar_1 - 14348906*Ar_2^3 /\ -32768*Ar_0 < 0 /\ 4294967296*Ar_0^2 + Ar_2^5 < 43046721*Ar_1 - 43046720*Ar_2^3 /\ 65536*Ar_0 > 0 /\ 17179869184*Ar_0^2 + Ar_2^5 < 129140163*Ar_1 - 129140162*Ar_2^3 /\ -131072*Ar_0 < 0 /\ 68719476736*Ar_0^2 + Ar_2^5 < 387420489*Ar_1 - 387420488*Ar_2^3 /\ 262144*Ar_0 > 0 /\ 274877906944*Ar_0^2 + Ar_2^5 < 1162261467*Ar_1 - 1162261466*Ar_2^3 /\ -524288*Ar_0 < 0 /\ 1099511627776*Ar_0^2 + Ar_2^5 < 3486784401*Ar_1 - 3486784400*Ar_2^3 /\ 1048576*Ar_0 > 0 /\ 4398046511104*Ar_0^2 + Ar_2^5 < 10460353203*Ar_1 - 10460353202*Ar_2^3 /\ -2097152*Ar_0 < 0 /\ 17592186044416*Ar_0^2 + Ar_2^5 < 31381059609*Ar_1 - 31381059608*Ar_2^3 /\ 4194304*Ar_0 > 0 ]
		(Comp: ?, Cost: 2)     l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(4*Ar_0, 9*Ar_1 - 8*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 < 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 > 0 ]
		(Comp: 1, Cost: 1)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 /\ Ar_2 > 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-8388608*Ar_0, 94143178827*Ar_1 - 94143178826*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 < 0 /\ 16*Ar_0^2 + Ar_2^5 < 9*Ar_1 - 8*Ar_2^3 /\ 4*Ar_0 > 0 /\ 64*Ar_0^2 + Ar_2^5 < 27*Ar_1 - 26*Ar_2^3 /\ -8*Ar_0 < 0 /\ 256*Ar_0^2 + Ar_2^5 < 81*Ar_1 - 80*Ar_2^3 /\ 16*Ar_0 > 0 /\ 1024*Ar_0^2 + Ar_2^5 < 243*Ar_1 - 242*Ar_2^3 /\ -32*Ar_0 < 0 /\ 4096*Ar_0^2 + Ar_2^5 < 729*Ar_1 - 728*Ar_2^3 /\ 64*Ar_0 > 0 /\ 16384*Ar_0^2 + Ar_2^5 < 2187*Ar_1 - 2186*Ar_2^3 /\ -128*Ar_0 < 0 /\ 65536*Ar_0^2 + Ar_2^5 < 6561*Ar_1 - 6560*Ar_2^3 /\ 256*Ar_0 > 0 /\ 262144*Ar_0^2 + Ar_2^5 < 19683*Ar_1 - 19682*Ar_2^3 /\ -512*Ar_0 < 0 /\ 1048576*Ar_0^2 + Ar_2^5 < 59049*Ar_1 - 59048*Ar_2^3 /\ 1024*Ar_0 > 0 /\ 4194304*Ar_0^2 + Ar_2^5 < 177147*Ar_1 - 177146*Ar_2^3 /\ -2048*Ar_0 < 0 /\ 16777216*Ar_0^2 + Ar_2^5 < 531441*Ar_1 - 531440*Ar_2^3 /\ 4096*Ar_0 > 0 /\ 67108864*Ar_0^2 + Ar_2^5 < 1594323*Ar_1 - 1594322*Ar_2^3 /\ -8192*Ar_0 < 0 /\ 268435456*Ar_0^2 + Ar_2^5 < 4782969*Ar_1 - 4782968*Ar_2^3 /\ 16384*Ar_0 > 0 /\ 1073741824*Ar_0^2 + Ar_2^5 < 14348907*Ar_1 - 14348906*Ar_2^3 /\ -32768*Ar_0 < 0 /\ 4294967296*Ar_0^2 + Ar_2^5 < 43046721*Ar_1 - 43046720*Ar_2^3 /\ 65536*Ar_0 > 0 /\ 17179869184*Ar_0^2 + Ar_2^5 < 129140163*Ar_1 - 129140162*Ar_2^3 /\ -131072*Ar_0 < 0 /\ 68719476736*Ar_0^2 + Ar_2^5 < 387420489*Ar_1 - 387420488*Ar_2^3 /\ 262144*Ar_0 > 0 /\ 274877906944*Ar_0^2 + Ar_2^5 < 1162261467*Ar_1 - 1162261466*Ar_2^3 /\ -524288*Ar_0 < 0 /\ 1099511627776*Ar_0^2 + Ar_2^5 < 3486784401*Ar_1 - 3486784400*Ar_2^3 /\ 1048576*Ar_0 > 0 /\ 4398046511104*Ar_0^2 + Ar_2^5 < 10460353203*Ar_1 - 10460353202*Ar_2^3 /\ -2097152*Ar_0 < 0 /\ 17592186044416*Ar_0^2 + Ar_2^5 < 31381059609*Ar_1 - 31381059608*Ar_2^3 /\ 4194304*Ar_0 > 0 ] with all transitions in problem 18, the following new transition is obtained:
	l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-33554432*Ar_0, 847288609443*Ar_1 - 847288609442*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 < 0 /\ 16*Ar_0^2 + Ar_2^5 < 9*Ar_1 - 8*Ar_2^3 /\ 4*Ar_0 > 0 /\ 64*Ar_0^2 + Ar_2^5 < 27*Ar_1 - 26*Ar_2^3 /\ -8*Ar_0 < 0 /\ 256*Ar_0^2 + Ar_2^5 < 81*Ar_1 - 80*Ar_2^3 /\ 16*Ar_0 > 0 /\ 1024*Ar_0^2 + Ar_2^5 < 243*Ar_1 - 242*Ar_2^3 /\ -32*Ar_0 < 0 /\ 4096*Ar_0^2 + Ar_2^5 < 729*Ar_1 - 728*Ar_2^3 /\ 64*Ar_0 > 0 /\ 16384*Ar_0^2 + Ar_2^5 < 2187*Ar_1 - 2186*Ar_2^3 /\ -128*Ar_0 < 0 /\ 65536*Ar_0^2 + Ar_2^5 < 6561*Ar_1 - 6560*Ar_2^3 /\ 256*Ar_0 > 0 /\ 262144*Ar_0^2 + Ar_2^5 < 19683*Ar_1 - 19682*Ar_2^3 /\ -512*Ar_0 < 0 /\ 1048576*Ar_0^2 + Ar_2^5 < 59049*Ar_1 - 59048*Ar_2^3 /\ 1024*Ar_0 > 0 /\ 4194304*Ar_0^2 + Ar_2^5 < 177147*Ar_1 - 177146*Ar_2^3 /\ -2048*Ar_0 < 0 /\ 16777216*Ar_0^2 + Ar_2^5 < 531441*Ar_1 - 531440*Ar_2^3 /\ 4096*Ar_0 > 0 /\ 67108864*Ar_0^2 + Ar_2^5 < 1594323*Ar_1 - 1594322*Ar_2^3 /\ -8192*Ar_0 < 0 /\ 268435456*Ar_0^2 + Ar_2^5 < 4782969*Ar_1 - 4782968*Ar_2^3 /\ 16384*Ar_0 > 0 /\ 1073741824*Ar_0^2 + Ar_2^5 < 14348907*Ar_1 - 14348906*Ar_2^3 /\ -32768*Ar_0 < 0 /\ 4294967296*Ar_0^2 + Ar_2^5 < 43046721*Ar_1 - 43046720*Ar_2^3 /\ 65536*Ar_0 > 0 /\ 17179869184*Ar_0^2 + Ar_2^5 < 129140163*Ar_1 - 129140162*Ar_2^3 /\ -131072*Ar_0 < 0 /\ 68719476736*Ar_0^2 + Ar_2^5 < 387420489*Ar_1 - 387420488*Ar_2^3 /\ 262144*Ar_0 > 0 /\ 274877906944*Ar_0^2 + Ar_2^5 < 1162261467*Ar_1 - 1162261466*Ar_2^3 /\ -524288*Ar_0 < 0 /\ 1099511627776*Ar_0^2 + Ar_2^5 < 3486784401*Ar_1 - 3486784400*Ar_2^3 /\ 1048576*Ar_0 > 0 /\ 4398046511104*Ar_0^2 + Ar_2^5 < 10460353203*Ar_1 - 10460353202*Ar_2^3 /\ -2097152*Ar_0 < 0 /\ 17592186044416*Ar_0^2 + Ar_2^5 < 31381059609*Ar_1 - 31381059608*Ar_2^3 /\ 4194304*Ar_0 > 0 /\ 70368744177664*Ar_0^2 + Ar_2^5 < 94143178827*Ar_1 - 94143178826*Ar_2^3 /\ -8388608*Ar_0 < 0 /\ 281474976710656*Ar_0^2 + Ar_2^5 < 282429536481*Ar_1 - 282429536480*Ar_2^3 /\ 16777216*Ar_0 > 0 ]
We thus obtain the following problem:
19:	T:
		(Comp: 1, Cost: 25)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-33554432*Ar_0, 847288609443*Ar_1 - 847288609442*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 < 0 /\ 16*Ar_0^2 + Ar_2^5 < 9*Ar_1 - 8*Ar_2^3 /\ 4*Ar_0 > 0 /\ 64*Ar_0^2 + Ar_2^5 < 27*Ar_1 - 26*Ar_2^3 /\ -8*Ar_0 < 0 /\ 256*Ar_0^2 + Ar_2^5 < 81*Ar_1 - 80*Ar_2^3 /\ 16*Ar_0 > 0 /\ 1024*Ar_0^2 + Ar_2^5 < 243*Ar_1 - 242*Ar_2^3 /\ -32*Ar_0 < 0 /\ 4096*Ar_0^2 + Ar_2^5 < 729*Ar_1 - 728*Ar_2^3 /\ 64*Ar_0 > 0 /\ 16384*Ar_0^2 + Ar_2^5 < 2187*Ar_1 - 2186*Ar_2^3 /\ -128*Ar_0 < 0 /\ 65536*Ar_0^2 + Ar_2^5 < 6561*Ar_1 - 6560*Ar_2^3 /\ 256*Ar_0 > 0 /\ 262144*Ar_0^2 + Ar_2^5 < 19683*Ar_1 - 19682*Ar_2^3 /\ -512*Ar_0 < 0 /\ 1048576*Ar_0^2 + Ar_2^5 < 59049*Ar_1 - 59048*Ar_2^3 /\ 1024*Ar_0 > 0 /\ 4194304*Ar_0^2 + Ar_2^5 < 177147*Ar_1 - 177146*Ar_2^3 /\ -2048*Ar_0 < 0 /\ 16777216*Ar_0^2 + Ar_2^5 < 531441*Ar_1 - 531440*Ar_2^3 /\ 4096*Ar_0 > 0 /\ 67108864*Ar_0^2 + Ar_2^5 < 1594323*Ar_1 - 1594322*Ar_2^3 /\ -8192*Ar_0 < 0 /\ 268435456*Ar_0^2 + Ar_2^5 < 4782969*Ar_1 - 4782968*Ar_2^3 /\ 16384*Ar_0 > 0 /\ 1073741824*Ar_0^2 + Ar_2^5 < 14348907*Ar_1 - 14348906*Ar_2^3 /\ -32768*Ar_0 < 0 /\ 4294967296*Ar_0^2 + Ar_2^5 < 43046721*Ar_1 - 43046720*Ar_2^3 /\ 65536*Ar_0 > 0 /\ 17179869184*Ar_0^2 + Ar_2^5 < 129140163*Ar_1 - 129140162*Ar_2^3 /\ -131072*Ar_0 < 0 /\ 68719476736*Ar_0^2 + Ar_2^5 < 387420489*Ar_1 - 387420488*Ar_2^3 /\ 262144*Ar_0 > 0 /\ 274877906944*Ar_0^2 + Ar_2^5 < 1162261467*Ar_1 - 1162261466*Ar_2^3 /\ -524288*Ar_0 < 0 /\ 1099511627776*Ar_0^2 + Ar_2^5 < 3486784401*Ar_1 - 3486784400*Ar_2^3 /\ 1048576*Ar_0 > 0 /\ 4398046511104*Ar_0^2 + Ar_2^5 < 10460353203*Ar_1 - 10460353202*Ar_2^3 /\ -2097152*Ar_0 < 0 /\ 17592186044416*Ar_0^2 + Ar_2^5 < 31381059609*Ar_1 - 31381059608*Ar_2^3 /\ 4194304*Ar_0 > 0 /\ 70368744177664*Ar_0^2 + Ar_2^5 < 94143178827*Ar_1 - 94143178826*Ar_2^3 /\ -8388608*Ar_0 < 0 /\ 281474976710656*Ar_0^2 + Ar_2^5 < 282429536481*Ar_1 - 282429536480*Ar_2^3 /\ 16777216*Ar_0 > 0 ]
		(Comp: ?, Cost: 2)     l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(4*Ar_0, 9*Ar_1 - 8*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 < 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 > 0 ]
		(Comp: 1, Cost: 1)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 /\ Ar_2 > 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-33554432*Ar_0, 847288609443*Ar_1 - 847288609442*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 < 0 /\ 16*Ar_0^2 + Ar_2^5 < 9*Ar_1 - 8*Ar_2^3 /\ 4*Ar_0 > 0 /\ 64*Ar_0^2 + Ar_2^5 < 27*Ar_1 - 26*Ar_2^3 /\ -8*Ar_0 < 0 /\ 256*Ar_0^2 + Ar_2^5 < 81*Ar_1 - 80*Ar_2^3 /\ 16*Ar_0 > 0 /\ 1024*Ar_0^2 + Ar_2^5 < 243*Ar_1 - 242*Ar_2^3 /\ -32*Ar_0 < 0 /\ 4096*Ar_0^2 + Ar_2^5 < 729*Ar_1 - 728*Ar_2^3 /\ 64*Ar_0 > 0 /\ 16384*Ar_0^2 + Ar_2^5 < 2187*Ar_1 - 2186*Ar_2^3 /\ -128*Ar_0 < 0 /\ 65536*Ar_0^2 + Ar_2^5 < 6561*Ar_1 - 6560*Ar_2^3 /\ 256*Ar_0 > 0 /\ 262144*Ar_0^2 + Ar_2^5 < 19683*Ar_1 - 19682*Ar_2^3 /\ -512*Ar_0 < 0 /\ 1048576*Ar_0^2 + Ar_2^5 < 59049*Ar_1 - 59048*Ar_2^3 /\ 1024*Ar_0 > 0 /\ 4194304*Ar_0^2 + Ar_2^5 < 177147*Ar_1 - 177146*Ar_2^3 /\ -2048*Ar_0 < 0 /\ 16777216*Ar_0^2 + Ar_2^5 < 531441*Ar_1 - 531440*Ar_2^3 /\ 4096*Ar_0 > 0 /\ 67108864*Ar_0^2 + Ar_2^5 < 1594323*Ar_1 - 1594322*Ar_2^3 /\ -8192*Ar_0 < 0 /\ 268435456*Ar_0^2 + Ar_2^5 < 4782969*Ar_1 - 4782968*Ar_2^3 /\ 16384*Ar_0 > 0 /\ 1073741824*Ar_0^2 + Ar_2^5 < 14348907*Ar_1 - 14348906*Ar_2^3 /\ -32768*Ar_0 < 0 /\ 4294967296*Ar_0^2 + Ar_2^5 < 43046721*Ar_1 - 43046720*Ar_2^3 /\ 65536*Ar_0 > 0 /\ 17179869184*Ar_0^2 + Ar_2^5 < 129140163*Ar_1 - 129140162*Ar_2^3 /\ -131072*Ar_0 < 0 /\ 68719476736*Ar_0^2 + Ar_2^5 < 387420489*Ar_1 - 387420488*Ar_2^3 /\ 262144*Ar_0 > 0 /\ 274877906944*Ar_0^2 + Ar_2^5 < 1162261467*Ar_1 - 1162261466*Ar_2^3 /\ -524288*Ar_0 < 0 /\ 1099511627776*Ar_0^2 + Ar_2^5 < 3486784401*Ar_1 - 3486784400*Ar_2^3 /\ 1048576*Ar_0 > 0 /\ 4398046511104*Ar_0^2 + Ar_2^5 < 10460353203*Ar_1 - 10460353202*Ar_2^3 /\ -2097152*Ar_0 < 0 /\ 17592186044416*Ar_0^2 + Ar_2^5 < 31381059609*Ar_1 - 31381059608*Ar_2^3 /\ 4194304*Ar_0 > 0 /\ 70368744177664*Ar_0^2 + Ar_2^5 < 94143178827*Ar_1 - 94143178826*Ar_2^3 /\ -8388608*Ar_0 < 0 /\ 281474976710656*Ar_0^2 + Ar_2^5 < 282429536481*Ar_1 - 282429536480*Ar_2^3 /\ 16777216*Ar_0 > 0 ] with all transitions in problem 19, the following new transition is obtained:
	l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-134217728*Ar_0, 7625597484987*Ar_1 - 7625597484986*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 < 0 /\ 16*Ar_0^2 + Ar_2^5 < 9*Ar_1 - 8*Ar_2^3 /\ 4*Ar_0 > 0 /\ 64*Ar_0^2 + Ar_2^5 < 27*Ar_1 - 26*Ar_2^3 /\ -8*Ar_0 < 0 /\ 256*Ar_0^2 + Ar_2^5 < 81*Ar_1 - 80*Ar_2^3 /\ 16*Ar_0 > 0 /\ 1024*Ar_0^2 + Ar_2^5 < 243*Ar_1 - 242*Ar_2^3 /\ -32*Ar_0 < 0 /\ 4096*Ar_0^2 + Ar_2^5 < 729*Ar_1 - 728*Ar_2^3 /\ 64*Ar_0 > 0 /\ 16384*Ar_0^2 + Ar_2^5 < 2187*Ar_1 - 2186*Ar_2^3 /\ -128*Ar_0 < 0 /\ 65536*Ar_0^2 + Ar_2^5 < 6561*Ar_1 - 6560*Ar_2^3 /\ 256*Ar_0 > 0 /\ 262144*Ar_0^2 + Ar_2^5 < 19683*Ar_1 - 19682*Ar_2^3 /\ -512*Ar_0 < 0 /\ 1048576*Ar_0^2 + Ar_2^5 < 59049*Ar_1 - 59048*Ar_2^3 /\ 1024*Ar_0 > 0 /\ 4194304*Ar_0^2 + Ar_2^5 < 177147*Ar_1 - 177146*Ar_2^3 /\ -2048*Ar_0 < 0 /\ 16777216*Ar_0^2 + Ar_2^5 < 531441*Ar_1 - 531440*Ar_2^3 /\ 4096*Ar_0 > 0 /\ 67108864*Ar_0^2 + Ar_2^5 < 1594323*Ar_1 - 1594322*Ar_2^3 /\ -8192*Ar_0 < 0 /\ 268435456*Ar_0^2 + Ar_2^5 < 4782969*Ar_1 - 4782968*Ar_2^3 /\ 16384*Ar_0 > 0 /\ 1073741824*Ar_0^2 + Ar_2^5 < 14348907*Ar_1 - 14348906*Ar_2^3 /\ -32768*Ar_0 < 0 /\ 4294967296*Ar_0^2 + Ar_2^5 < 43046721*Ar_1 - 43046720*Ar_2^3 /\ 65536*Ar_0 > 0 /\ 17179869184*Ar_0^2 + Ar_2^5 < 129140163*Ar_1 - 129140162*Ar_2^3 /\ -131072*Ar_0 < 0 /\ 68719476736*Ar_0^2 + Ar_2^5 < 387420489*Ar_1 - 387420488*Ar_2^3 /\ 262144*Ar_0 > 0 /\ 274877906944*Ar_0^2 + Ar_2^5 < 1162261467*Ar_1 - 1162261466*Ar_2^3 /\ -524288*Ar_0 < 0 /\ 1099511627776*Ar_0^2 + Ar_2^5 < 3486784401*Ar_1 - 3486784400*Ar_2^3 /\ 1048576*Ar_0 > 0 /\ 4398046511104*Ar_0^2 + Ar_2^5 < 10460353203*Ar_1 - 10460353202*Ar_2^3 /\ -2097152*Ar_0 < 0 /\ 17592186044416*Ar_0^2 + Ar_2^5 < 31381059609*Ar_1 - 31381059608*Ar_2^3 /\ 4194304*Ar_0 > 0 /\ 70368744177664*Ar_0^2 + Ar_2^5 < 94143178827*Ar_1 - 94143178826*Ar_2^3 /\ -8388608*Ar_0 < 0 /\ 281474976710656*Ar_0^2 + Ar_2^5 < 282429536481*Ar_1 - 282429536480*Ar_2^3 /\ 16777216*Ar_0 > 0 /\ 1125899906842624*Ar_0^2 + Ar_2^5 < 847288609443*Ar_1 - 847288609442*Ar_2^3 /\ -33554432*Ar_0 < 0 /\ 4503599627370496*Ar_0^2 + Ar_2^5 < 2541865828329*Ar_1 - 2541865828328*Ar_2^3 /\ 67108864*Ar_0 > 0 ]
We thus obtain the following problem:
20:	T:
		(Comp: 1, Cost: 27)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(-134217728*Ar_0, 7625597484987*Ar_1 - 7625597484986*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 > 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 < 0 /\ 16*Ar_0^2 + Ar_2^5 < 9*Ar_1 - 8*Ar_2^3 /\ 4*Ar_0 > 0 /\ 64*Ar_0^2 + Ar_2^5 < 27*Ar_1 - 26*Ar_2^3 /\ -8*Ar_0 < 0 /\ 256*Ar_0^2 + Ar_2^5 < 81*Ar_1 - 80*Ar_2^3 /\ 16*Ar_0 > 0 /\ 1024*Ar_0^2 + Ar_2^5 < 243*Ar_1 - 242*Ar_2^3 /\ -32*Ar_0 < 0 /\ 4096*Ar_0^2 + Ar_2^5 < 729*Ar_1 - 728*Ar_2^3 /\ 64*Ar_0 > 0 /\ 16384*Ar_0^2 + Ar_2^5 < 2187*Ar_1 - 2186*Ar_2^3 /\ -128*Ar_0 < 0 /\ 65536*Ar_0^2 + Ar_2^5 < 6561*Ar_1 - 6560*Ar_2^3 /\ 256*Ar_0 > 0 /\ 262144*Ar_0^2 + Ar_2^5 < 19683*Ar_1 - 19682*Ar_2^3 /\ -512*Ar_0 < 0 /\ 1048576*Ar_0^2 + Ar_2^5 < 59049*Ar_1 - 59048*Ar_2^3 /\ 1024*Ar_0 > 0 /\ 4194304*Ar_0^2 + Ar_2^5 < 177147*Ar_1 - 177146*Ar_2^3 /\ -2048*Ar_0 < 0 /\ 16777216*Ar_0^2 + Ar_2^5 < 531441*Ar_1 - 531440*Ar_2^3 /\ 4096*Ar_0 > 0 /\ 67108864*Ar_0^2 + Ar_2^5 < 1594323*Ar_1 - 1594322*Ar_2^3 /\ -8192*Ar_0 < 0 /\ 268435456*Ar_0^2 + Ar_2^5 < 4782969*Ar_1 - 4782968*Ar_2^3 /\ 16384*Ar_0 > 0 /\ 1073741824*Ar_0^2 + Ar_2^5 < 14348907*Ar_1 - 14348906*Ar_2^3 /\ -32768*Ar_0 < 0 /\ 4294967296*Ar_0^2 + Ar_2^5 < 43046721*Ar_1 - 43046720*Ar_2^3 /\ 65536*Ar_0 > 0 /\ 17179869184*Ar_0^2 + Ar_2^5 < 129140163*Ar_1 - 129140162*Ar_2^3 /\ -131072*Ar_0 < 0 /\ 68719476736*Ar_0^2 + Ar_2^5 < 387420489*Ar_1 - 387420488*Ar_2^3 /\ 262144*Ar_0 > 0 /\ 274877906944*Ar_0^2 + Ar_2^5 < 1162261467*Ar_1 - 1162261466*Ar_2^3 /\ -524288*Ar_0 < 0 /\ 1099511627776*Ar_0^2 + Ar_2^5 < 3486784401*Ar_1 - 3486784400*Ar_2^3 /\ 1048576*Ar_0 > 0 /\ 4398046511104*Ar_0^2 + Ar_2^5 < 10460353203*Ar_1 - 10460353202*Ar_2^3 /\ -2097152*Ar_0 < 0 /\ 17592186044416*Ar_0^2 + Ar_2^5 < 31381059609*Ar_1 - 31381059608*Ar_2^3 /\ 4194304*Ar_0 > 0 /\ 70368744177664*Ar_0^2 + Ar_2^5 < 94143178827*Ar_1 - 94143178826*Ar_2^3 /\ -8388608*Ar_0 < 0 /\ 281474976710656*Ar_0^2 + Ar_2^5 < 282429536481*Ar_1 - 282429536480*Ar_2^3 /\ 16777216*Ar_0 > 0 /\ 1125899906842624*Ar_0^2 + Ar_2^5 < 847288609443*Ar_1 - 847288609442*Ar_2^3 /\ -33554432*Ar_0 < 0 /\ 4503599627370496*Ar_0^2 + Ar_2^5 < 2541865828329*Ar_1 - 2541865828328*Ar_2^3 /\ 67108864*Ar_0 > 0 ]
		(Comp: ?, Cost: 2)     l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(4*Ar_0, 9*Ar_1 - 8*Ar_2^3, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_0^2 + Ar_2^5 < Ar_1 /\ Ar_0 < 0 /\ 4*Ar_0^2 + Ar_2^5 < 3*Ar_1 - 2*Ar_2^3 /\ -2*Ar_0 > 0 ]
		(Comp: 1, Cost: 1)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 /\ Ar_2 > 0 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound ?

Time: 0.279 sec (SMT: 0.222 sec)
