
Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 < 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 1 produces the following problem:
2:	T:
		(Comp: 1, Cost: 1)    l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 < 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] with all transitions in problem 2, the following new transition is obtained:
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
We thus obtain the following problem:
3:	T:
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)    l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 < 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 3:
	l0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))
We thus obtain the following problem:
4:	T:
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 < 0 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

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

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 ] with all transitions in problem 5, the following new transition is obtained:
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, 16*Ar_3, 81*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 /\ 16*Ar_3^2 - Ar_2^5 < 9*Ar_4 /\ 4*Ar_3 > 0 ]
We thus obtain the following problem:
6:	T:
		(Comp: 1, Cost: 3)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, 16*Ar_3, 81*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 /\ 16*Ar_3^2 - Ar_2^5 < 9*Ar_4 /\ 4*Ar_3 > 0 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 < 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 < 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, 16*Ar_3, 81*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 /\ 16*Ar_3^2 - Ar_2^5 < 9*Ar_4 /\ 4*Ar_3 > 0 ] with all transitions in problem 6, the following new transition is obtained:
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 64*Ar_3, 729*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 /\ 16*Ar_3^2 - Ar_2^5 < 9*Ar_4 /\ 4*Ar_3 > 0 /\ 256*Ar_3^2 - Ar_2^5 < 81*Ar_4 /\ 16*Ar_3 > 0 ]
We thus obtain the following problem:
7:	T:
		(Comp: 1, Cost: 4)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 64*Ar_3, 729*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 /\ 16*Ar_3^2 - Ar_2^5 < 9*Ar_4 /\ 4*Ar_3 > 0 /\ 256*Ar_3^2 - Ar_2^5 < 81*Ar_4 /\ 16*Ar_3 > 0 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 < 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 < 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 64*Ar_3, 729*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 /\ 16*Ar_3^2 - Ar_2^5 < 9*Ar_4 /\ 4*Ar_3 > 0 /\ 256*Ar_3^2 - Ar_2^5 < 81*Ar_4 /\ 16*Ar_3 > 0 ] with all transitions in problem 7, the following new transition is obtained:
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, 256*Ar_3, 6561*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 /\ 16*Ar_3^2 - Ar_2^5 < 9*Ar_4 /\ 4*Ar_3 > 0 /\ 256*Ar_3^2 - Ar_2^5 < 81*Ar_4 /\ 16*Ar_3 > 0 /\ 4096*Ar_3^2 - Ar_2^5 < 729*Ar_4 /\ 64*Ar_3 > 0 ]
We thus obtain the following problem:
8:	T:
		(Comp: 1, Cost: 5)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, 256*Ar_3, 6561*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 /\ 16*Ar_3^2 - Ar_2^5 < 9*Ar_4 /\ 4*Ar_3 > 0 /\ 256*Ar_3^2 - Ar_2^5 < 81*Ar_4 /\ 16*Ar_3 > 0 /\ 4096*Ar_3^2 - Ar_2^5 < 729*Ar_4 /\ 64*Ar_3 > 0 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 < 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 < 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, 256*Ar_3, 6561*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 /\ 16*Ar_3^2 - Ar_2^5 < 9*Ar_4 /\ 4*Ar_3 > 0 /\ 256*Ar_3^2 - Ar_2^5 < 81*Ar_4 /\ 16*Ar_3 > 0 /\ 4096*Ar_3^2 - Ar_2^5 < 729*Ar_4 /\ 64*Ar_3 > 0 ] with all transitions in problem 8, the following new transition is obtained:
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 1024*Ar_3, 59049*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 /\ 16*Ar_3^2 - Ar_2^5 < 9*Ar_4 /\ 4*Ar_3 > 0 /\ 256*Ar_3^2 - Ar_2^5 < 81*Ar_4 /\ 16*Ar_3 > 0 /\ 4096*Ar_3^2 - Ar_2^5 < 729*Ar_4 /\ 64*Ar_3 > 0 /\ 65536*Ar_3^2 - Ar_2^5 < 6561*Ar_4 /\ 256*Ar_3 > 0 ]
We thus obtain the following problem:
9:	T:
		(Comp: 1, Cost: 6)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 1024*Ar_3, 59049*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 /\ 16*Ar_3^2 - Ar_2^5 < 9*Ar_4 /\ 4*Ar_3 > 0 /\ 256*Ar_3^2 - Ar_2^5 < 81*Ar_4 /\ 16*Ar_3 > 0 /\ 4096*Ar_3^2 - Ar_2^5 < 729*Ar_4 /\ 64*Ar_3 > 0 /\ 65536*Ar_3^2 - Ar_2^5 < 6561*Ar_4 /\ 256*Ar_3 > 0 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 < 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 < 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 1024*Ar_3, 59049*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 /\ 16*Ar_3^2 - Ar_2^5 < 9*Ar_4 /\ 4*Ar_3 > 0 /\ 256*Ar_3^2 - Ar_2^5 < 81*Ar_4 /\ 16*Ar_3 > 0 /\ 4096*Ar_3^2 - Ar_2^5 < 729*Ar_4 /\ 64*Ar_3 > 0 /\ 65536*Ar_3^2 - Ar_2^5 < 6561*Ar_4 /\ 256*Ar_3 > 0 ] with all transitions in problem 9, the following new transition is obtained:
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, 4096*Ar_3, 531441*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 /\ 16*Ar_3^2 - Ar_2^5 < 9*Ar_4 /\ 4*Ar_3 > 0 /\ 256*Ar_3^2 - Ar_2^5 < 81*Ar_4 /\ 16*Ar_3 > 0 /\ 4096*Ar_3^2 - Ar_2^5 < 729*Ar_4 /\ 64*Ar_3 > 0 /\ 65536*Ar_3^2 - Ar_2^5 < 6561*Ar_4 /\ 256*Ar_3 > 0 /\ 1048576*Ar_3^2 - Ar_2^5 < 59049*Ar_4 /\ 1024*Ar_3 > 0 ]
We thus obtain the following problem:
10:	T:
		(Comp: 1, Cost: 7)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, 4096*Ar_3, 531441*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 /\ 16*Ar_3^2 - Ar_2^5 < 9*Ar_4 /\ 4*Ar_3 > 0 /\ 256*Ar_3^2 - Ar_2^5 < 81*Ar_4 /\ 16*Ar_3 > 0 /\ 4096*Ar_3^2 - Ar_2^5 < 729*Ar_4 /\ 64*Ar_3 > 0 /\ 65536*Ar_3^2 - Ar_2^5 < 6561*Ar_4 /\ 256*Ar_3 > 0 /\ 1048576*Ar_3^2 - Ar_2^5 < 59049*Ar_4 /\ 1024*Ar_3 > 0 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 < 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 < 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, 4096*Ar_3, 531441*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 /\ 16*Ar_3^2 - Ar_2^5 < 9*Ar_4 /\ 4*Ar_3 > 0 /\ 256*Ar_3^2 - Ar_2^5 < 81*Ar_4 /\ 16*Ar_3 > 0 /\ 4096*Ar_3^2 - Ar_2^5 < 729*Ar_4 /\ 64*Ar_3 > 0 /\ 65536*Ar_3^2 - Ar_2^5 < 6561*Ar_4 /\ 256*Ar_3 > 0 /\ 1048576*Ar_3^2 - Ar_2^5 < 59049*Ar_4 /\ 1024*Ar_3 > 0 ] with all transitions in problem 10, the following new transition is obtained:
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 16384*Ar_3, 4782969*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 /\ 16*Ar_3^2 - Ar_2^5 < 9*Ar_4 /\ 4*Ar_3 > 0 /\ 256*Ar_3^2 - Ar_2^5 < 81*Ar_4 /\ 16*Ar_3 > 0 /\ 4096*Ar_3^2 - Ar_2^5 < 729*Ar_4 /\ 64*Ar_3 > 0 /\ 65536*Ar_3^2 - Ar_2^5 < 6561*Ar_4 /\ 256*Ar_3 > 0 /\ 1048576*Ar_3^2 - Ar_2^5 < 59049*Ar_4 /\ 1024*Ar_3 > 0 /\ 16777216*Ar_3^2 - Ar_2^5 < 531441*Ar_4 /\ 4096*Ar_3 > 0 ]
We thus obtain the following problem:
11:	T:
		(Comp: 1, Cost: 8)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 16384*Ar_3, 4782969*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 /\ 16*Ar_3^2 - Ar_2^5 < 9*Ar_4 /\ 4*Ar_3 > 0 /\ 256*Ar_3^2 - Ar_2^5 < 81*Ar_4 /\ 16*Ar_3 > 0 /\ 4096*Ar_3^2 - Ar_2^5 < 729*Ar_4 /\ 64*Ar_3 > 0 /\ 65536*Ar_3^2 - Ar_2^5 < 6561*Ar_4 /\ 256*Ar_3 > 0 /\ 1048576*Ar_3^2 - Ar_2^5 < 59049*Ar_4 /\ 1024*Ar_3 > 0 /\ 16777216*Ar_3^2 - Ar_2^5 < 531441*Ar_4 /\ 4096*Ar_3 > 0 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 < 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 < 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 16384*Ar_3, 4782969*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 /\ 16*Ar_3^2 - Ar_2^5 < 9*Ar_4 /\ 4*Ar_3 > 0 /\ 256*Ar_3^2 - Ar_2^5 < 81*Ar_4 /\ 16*Ar_3 > 0 /\ 4096*Ar_3^2 - Ar_2^5 < 729*Ar_4 /\ 64*Ar_3 > 0 /\ 65536*Ar_3^2 - Ar_2^5 < 6561*Ar_4 /\ 256*Ar_3 > 0 /\ 1048576*Ar_3^2 - Ar_2^5 < 59049*Ar_4 /\ 1024*Ar_3 > 0 /\ 16777216*Ar_3^2 - Ar_2^5 < 531441*Ar_4 /\ 4096*Ar_3 > 0 ] with all transitions in problem 11, the following new transition is obtained:
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, 65536*Ar_3, 43046721*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 /\ 16*Ar_3^2 - Ar_2^5 < 9*Ar_4 /\ 4*Ar_3 > 0 /\ 256*Ar_3^2 - Ar_2^5 < 81*Ar_4 /\ 16*Ar_3 > 0 /\ 4096*Ar_3^2 - Ar_2^5 < 729*Ar_4 /\ 64*Ar_3 > 0 /\ 65536*Ar_3^2 - Ar_2^5 < 6561*Ar_4 /\ 256*Ar_3 > 0 /\ 1048576*Ar_3^2 - Ar_2^5 < 59049*Ar_4 /\ 1024*Ar_3 > 0 /\ 16777216*Ar_3^2 - Ar_2^5 < 531441*Ar_4 /\ 4096*Ar_3 > 0 /\ 268435456*Ar_3^2 - Ar_2^5 < 4782969*Ar_4 /\ 16384*Ar_3 > 0 ]
We thus obtain the following problem:
12:	T:
		(Comp: 1, Cost: 9)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, 65536*Ar_3, 43046721*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 /\ 16*Ar_3^2 - Ar_2^5 < 9*Ar_4 /\ 4*Ar_3 > 0 /\ 256*Ar_3^2 - Ar_2^5 < 81*Ar_4 /\ 16*Ar_3 > 0 /\ 4096*Ar_3^2 - Ar_2^5 < 729*Ar_4 /\ 64*Ar_3 > 0 /\ 65536*Ar_3^2 - Ar_2^5 < 6561*Ar_4 /\ 256*Ar_3 > 0 /\ 1048576*Ar_3^2 - Ar_2^5 < 59049*Ar_4 /\ 1024*Ar_3 > 0 /\ 16777216*Ar_3^2 - Ar_2^5 < 531441*Ar_4 /\ 4096*Ar_3 > 0 /\ 268435456*Ar_3^2 - Ar_2^5 < 4782969*Ar_4 /\ 16384*Ar_3 > 0 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 < 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 < 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, 65536*Ar_3, 43046721*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 /\ 16*Ar_3^2 - Ar_2^5 < 9*Ar_4 /\ 4*Ar_3 > 0 /\ 256*Ar_3^2 - Ar_2^5 < 81*Ar_4 /\ 16*Ar_3 > 0 /\ 4096*Ar_3^2 - Ar_2^5 < 729*Ar_4 /\ 64*Ar_3 > 0 /\ 65536*Ar_3^2 - Ar_2^5 < 6561*Ar_4 /\ 256*Ar_3 > 0 /\ 1048576*Ar_3^2 - Ar_2^5 < 59049*Ar_4 /\ 1024*Ar_3 > 0 /\ 16777216*Ar_3^2 - Ar_2^5 < 531441*Ar_4 /\ 4096*Ar_3 > 0 /\ 268435456*Ar_3^2 - Ar_2^5 < 4782969*Ar_4 /\ 16384*Ar_3 > 0 ] with all transitions in problem 12, the following new transition is obtained:
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 262144*Ar_3, 387420489*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 /\ 16*Ar_3^2 - Ar_2^5 < 9*Ar_4 /\ 4*Ar_3 > 0 /\ 256*Ar_3^2 - Ar_2^5 < 81*Ar_4 /\ 16*Ar_3 > 0 /\ 4096*Ar_3^2 - Ar_2^5 < 729*Ar_4 /\ 64*Ar_3 > 0 /\ 65536*Ar_3^2 - Ar_2^5 < 6561*Ar_4 /\ 256*Ar_3 > 0 /\ 1048576*Ar_3^2 - Ar_2^5 < 59049*Ar_4 /\ 1024*Ar_3 > 0 /\ 16777216*Ar_3^2 - Ar_2^5 < 531441*Ar_4 /\ 4096*Ar_3 > 0 /\ 268435456*Ar_3^2 - Ar_2^5 < 4782969*Ar_4 /\ 16384*Ar_3 > 0 /\ 4294967296*Ar_3^2 - Ar_2^5 < 43046721*Ar_4 /\ 65536*Ar_3 > 0 ]
We thus obtain the following problem:
13:	T:
		(Comp: 1, Cost: 10)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 262144*Ar_3, 387420489*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 /\ 16*Ar_3^2 - Ar_2^5 < 9*Ar_4 /\ 4*Ar_3 > 0 /\ 256*Ar_3^2 - Ar_2^5 < 81*Ar_4 /\ 16*Ar_3 > 0 /\ 4096*Ar_3^2 - Ar_2^5 < 729*Ar_4 /\ 64*Ar_3 > 0 /\ 65536*Ar_3^2 - Ar_2^5 < 6561*Ar_4 /\ 256*Ar_3 > 0 /\ 1048576*Ar_3^2 - Ar_2^5 < 59049*Ar_4 /\ 1024*Ar_3 > 0 /\ 16777216*Ar_3^2 - Ar_2^5 < 531441*Ar_4 /\ 4096*Ar_3 > 0 /\ 268435456*Ar_3^2 - Ar_2^5 < 4782969*Ar_4 /\ 16384*Ar_3 > 0 /\ 4294967296*Ar_3^2 - Ar_2^5 < 43046721*Ar_4 /\ 65536*Ar_3 > 0 ]
		(Comp: 1, Cost: 2)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 < 0 ]
		(Comp: ?, Cost: 1)     l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 ]
		(Comp: ?, Cost: 1)     l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 < 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 262144*Ar_3, 387420489*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 /\ 16*Ar_3^2 - Ar_2^5 < 9*Ar_4 /\ 4*Ar_3 > 0 /\ 256*Ar_3^2 - Ar_2^5 < 81*Ar_4 /\ 16*Ar_3 > 0 /\ 4096*Ar_3^2 - Ar_2^5 < 729*Ar_4 /\ 64*Ar_3 > 0 /\ 65536*Ar_3^2 - Ar_2^5 < 6561*Ar_4 /\ 256*Ar_3 > 0 /\ 1048576*Ar_3^2 - Ar_2^5 < 59049*Ar_4 /\ 1024*Ar_3 > 0 /\ 16777216*Ar_3^2 - Ar_2^5 < 531441*Ar_4 /\ 4096*Ar_3 > 0 /\ 268435456*Ar_3^2 - Ar_2^5 < 4782969*Ar_4 /\ 16384*Ar_3 > 0 /\ 4294967296*Ar_3^2 - Ar_2^5 < 43046721*Ar_4 /\ 65536*Ar_3 > 0 ] with all transitions in problem 13, the following new transition is obtained:
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, 1048576*Ar_3, 3486784401*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 /\ 16*Ar_3^2 - Ar_2^5 < 9*Ar_4 /\ 4*Ar_3 > 0 /\ 256*Ar_3^2 - Ar_2^5 < 81*Ar_4 /\ 16*Ar_3 > 0 /\ 4096*Ar_3^2 - Ar_2^5 < 729*Ar_4 /\ 64*Ar_3 > 0 /\ 65536*Ar_3^2 - Ar_2^5 < 6561*Ar_4 /\ 256*Ar_3 > 0 /\ 1048576*Ar_3^2 - Ar_2^5 < 59049*Ar_4 /\ 1024*Ar_3 > 0 /\ 16777216*Ar_3^2 - Ar_2^5 < 531441*Ar_4 /\ 4096*Ar_3 > 0 /\ 268435456*Ar_3^2 - Ar_2^5 < 4782969*Ar_4 /\ 16384*Ar_3 > 0 /\ 4294967296*Ar_3^2 - Ar_2^5 < 43046721*Ar_4 /\ 65536*Ar_3 > 0 /\ 68719476736*Ar_3^2 - Ar_2^5 < 387420489*Ar_4 /\ 262144*Ar_3 > 0 ]
We thus obtain the following problem:
14:	T:
		(Comp: 1, Cost: 11)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, 1048576*Ar_3, 3486784401*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 /\ 16*Ar_3^2 - Ar_2^5 < 9*Ar_4 /\ 4*Ar_3 > 0 /\ 256*Ar_3^2 - Ar_2^5 < 81*Ar_4 /\ 16*Ar_3 > 0 /\ 4096*Ar_3^2 - Ar_2^5 < 729*Ar_4 /\ 64*Ar_3 > 0 /\ 65536*Ar_3^2 - Ar_2^5 < 6561*Ar_4 /\ 256*Ar_3 > 0 /\ 1048576*Ar_3^2 - Ar_2^5 < 59049*Ar_4 /\ 1024*Ar_3 > 0 /\ 16777216*Ar_3^2 - Ar_2^5 < 531441*Ar_4 /\ 4096*Ar_3 > 0 /\ 268435456*Ar_3^2 - Ar_2^5 < 4782969*Ar_4 /\ 16384*Ar_3 > 0 /\ 4294967296*Ar_3^2 - Ar_2^5 < 43046721*Ar_4 /\ 65536*Ar_3 > 0 /\ 68719476736*Ar_3^2 - Ar_2^5 < 387420489*Ar_4 /\ 262144*Ar_3 > 0 ]
		(Comp: 1, Cost: 2)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 < 0 ]
		(Comp: ?, Cost: 1)     l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 ]
		(Comp: ?, Cost: 1)     l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 < 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, 1048576*Ar_3, 3486784401*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 /\ 16*Ar_3^2 - Ar_2^5 < 9*Ar_4 /\ 4*Ar_3 > 0 /\ 256*Ar_3^2 - Ar_2^5 < 81*Ar_4 /\ 16*Ar_3 > 0 /\ 4096*Ar_3^2 - Ar_2^5 < 729*Ar_4 /\ 64*Ar_3 > 0 /\ 65536*Ar_3^2 - Ar_2^5 < 6561*Ar_4 /\ 256*Ar_3 > 0 /\ 1048576*Ar_3^2 - Ar_2^5 < 59049*Ar_4 /\ 1024*Ar_3 > 0 /\ 16777216*Ar_3^2 - Ar_2^5 < 531441*Ar_4 /\ 4096*Ar_3 > 0 /\ 268435456*Ar_3^2 - Ar_2^5 < 4782969*Ar_4 /\ 16384*Ar_3 > 0 /\ 4294967296*Ar_3^2 - Ar_2^5 < 43046721*Ar_4 /\ 65536*Ar_3 > 0 /\ 68719476736*Ar_3^2 - Ar_2^5 < 387420489*Ar_4 /\ 262144*Ar_3 > 0 ] with all transitions in problem 14, the following new transition is obtained:
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4194304*Ar_3, 31381059609*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 /\ 16*Ar_3^2 - Ar_2^5 < 9*Ar_4 /\ 4*Ar_3 > 0 /\ 256*Ar_3^2 - Ar_2^5 < 81*Ar_4 /\ 16*Ar_3 > 0 /\ 4096*Ar_3^2 - Ar_2^5 < 729*Ar_4 /\ 64*Ar_3 > 0 /\ 65536*Ar_3^2 - Ar_2^5 < 6561*Ar_4 /\ 256*Ar_3 > 0 /\ 1048576*Ar_3^2 - Ar_2^5 < 59049*Ar_4 /\ 1024*Ar_3 > 0 /\ 16777216*Ar_3^2 - Ar_2^5 < 531441*Ar_4 /\ 4096*Ar_3 > 0 /\ 268435456*Ar_3^2 - Ar_2^5 < 4782969*Ar_4 /\ 16384*Ar_3 > 0 /\ 4294967296*Ar_3^2 - Ar_2^5 < 43046721*Ar_4 /\ 65536*Ar_3 > 0 /\ 68719476736*Ar_3^2 - Ar_2^5 < 387420489*Ar_4 /\ 262144*Ar_3 > 0 /\ 1099511627776*Ar_3^2 - Ar_2^5 < 3486784401*Ar_4 /\ 1048576*Ar_3 > 0 ]
We thus obtain the following problem:
15:	T:
		(Comp: 1, Cost: 12)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4194304*Ar_3, 31381059609*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 /\ 16*Ar_3^2 - Ar_2^5 < 9*Ar_4 /\ 4*Ar_3 > 0 /\ 256*Ar_3^2 - Ar_2^5 < 81*Ar_4 /\ 16*Ar_3 > 0 /\ 4096*Ar_3^2 - Ar_2^5 < 729*Ar_4 /\ 64*Ar_3 > 0 /\ 65536*Ar_3^2 - Ar_2^5 < 6561*Ar_4 /\ 256*Ar_3 > 0 /\ 1048576*Ar_3^2 - Ar_2^5 < 59049*Ar_4 /\ 1024*Ar_3 > 0 /\ 16777216*Ar_3^2 - Ar_2^5 < 531441*Ar_4 /\ 4096*Ar_3 > 0 /\ 268435456*Ar_3^2 - Ar_2^5 < 4782969*Ar_4 /\ 16384*Ar_3 > 0 /\ 4294967296*Ar_3^2 - Ar_2^5 < 43046721*Ar_4 /\ 65536*Ar_3 > 0 /\ 68719476736*Ar_3^2 - Ar_2^5 < 387420489*Ar_4 /\ 262144*Ar_3 > 0 /\ 1099511627776*Ar_3^2 - Ar_2^5 < 3486784401*Ar_4 /\ 1048576*Ar_3 > 0 ]
		(Comp: 1, Cost: 2)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 < 0 ]
		(Comp: ?, Cost: 1)     l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 ]
		(Comp: ?, Cost: 1)     l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 < 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4194304*Ar_3, 31381059609*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 /\ 16*Ar_3^2 - Ar_2^5 < 9*Ar_4 /\ 4*Ar_3 > 0 /\ 256*Ar_3^2 - Ar_2^5 < 81*Ar_4 /\ 16*Ar_3 > 0 /\ 4096*Ar_3^2 - Ar_2^5 < 729*Ar_4 /\ 64*Ar_3 > 0 /\ 65536*Ar_3^2 - Ar_2^5 < 6561*Ar_4 /\ 256*Ar_3 > 0 /\ 1048576*Ar_3^2 - Ar_2^5 < 59049*Ar_4 /\ 1024*Ar_3 > 0 /\ 16777216*Ar_3^2 - Ar_2^5 < 531441*Ar_4 /\ 4096*Ar_3 > 0 /\ 268435456*Ar_3^2 - Ar_2^5 < 4782969*Ar_4 /\ 16384*Ar_3 > 0 /\ 4294967296*Ar_3^2 - Ar_2^5 < 43046721*Ar_4 /\ 65536*Ar_3 > 0 /\ 68719476736*Ar_3^2 - Ar_2^5 < 387420489*Ar_4 /\ 262144*Ar_3 > 0 /\ 1099511627776*Ar_3^2 - Ar_2^5 < 3486784401*Ar_4 /\ 1048576*Ar_3 > 0 ] with all transitions in problem 15, the following new transition is obtained:
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, 16777216*Ar_3, 282429536481*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 /\ 16*Ar_3^2 - Ar_2^5 < 9*Ar_4 /\ 4*Ar_3 > 0 /\ 256*Ar_3^2 - Ar_2^5 < 81*Ar_4 /\ 16*Ar_3 > 0 /\ 4096*Ar_3^2 - Ar_2^5 < 729*Ar_4 /\ 64*Ar_3 > 0 /\ 65536*Ar_3^2 - Ar_2^5 < 6561*Ar_4 /\ 256*Ar_3 > 0 /\ 1048576*Ar_3^2 - Ar_2^5 < 59049*Ar_4 /\ 1024*Ar_3 > 0 /\ 16777216*Ar_3^2 - Ar_2^5 < 531441*Ar_4 /\ 4096*Ar_3 > 0 /\ 268435456*Ar_3^2 - Ar_2^5 < 4782969*Ar_4 /\ 16384*Ar_3 > 0 /\ 4294967296*Ar_3^2 - Ar_2^5 < 43046721*Ar_4 /\ 65536*Ar_3 > 0 /\ 68719476736*Ar_3^2 - Ar_2^5 < 387420489*Ar_4 /\ 262144*Ar_3 > 0 /\ 1099511627776*Ar_3^2 - Ar_2^5 < 3486784401*Ar_4 /\ 1048576*Ar_3 > 0 /\ 17592186044416*Ar_3^2 - Ar_2^5 < 31381059609*Ar_4 /\ 4194304*Ar_3 > 0 ]
We thus obtain the following problem:
16:	T:
		(Comp: 1, Cost: 13)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, 16777216*Ar_3, 282429536481*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 /\ 16*Ar_3^2 - Ar_2^5 < 9*Ar_4 /\ 4*Ar_3 > 0 /\ 256*Ar_3^2 - Ar_2^5 < 81*Ar_4 /\ 16*Ar_3 > 0 /\ 4096*Ar_3^2 - Ar_2^5 < 729*Ar_4 /\ 64*Ar_3 > 0 /\ 65536*Ar_3^2 - Ar_2^5 < 6561*Ar_4 /\ 256*Ar_3 > 0 /\ 1048576*Ar_3^2 - Ar_2^5 < 59049*Ar_4 /\ 1024*Ar_3 > 0 /\ 16777216*Ar_3^2 - Ar_2^5 < 531441*Ar_4 /\ 4096*Ar_3 > 0 /\ 268435456*Ar_3^2 - Ar_2^5 < 4782969*Ar_4 /\ 16384*Ar_3 > 0 /\ 4294967296*Ar_3^2 - Ar_2^5 < 43046721*Ar_4 /\ 65536*Ar_3 > 0 /\ 68719476736*Ar_3^2 - Ar_2^5 < 387420489*Ar_4 /\ 262144*Ar_3 > 0 /\ 1099511627776*Ar_3^2 - Ar_2^5 < 3486784401*Ar_4 /\ 1048576*Ar_3 > 0 /\ 17592186044416*Ar_3^2 - Ar_2^5 < 31381059609*Ar_4 /\ 4194304*Ar_3 > 0 ]
		(Comp: 1, Cost: 2)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 < 0 ]
		(Comp: ?, Cost: 1)     l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 ]
		(Comp: ?, Cost: 1)     l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 < 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, 16777216*Ar_3, 282429536481*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 /\ 16*Ar_3^2 - Ar_2^5 < 9*Ar_4 /\ 4*Ar_3 > 0 /\ 256*Ar_3^2 - Ar_2^5 < 81*Ar_4 /\ 16*Ar_3 > 0 /\ 4096*Ar_3^2 - Ar_2^5 < 729*Ar_4 /\ 64*Ar_3 > 0 /\ 65536*Ar_3^2 - Ar_2^5 < 6561*Ar_4 /\ 256*Ar_3 > 0 /\ 1048576*Ar_3^2 - Ar_2^5 < 59049*Ar_4 /\ 1024*Ar_3 > 0 /\ 16777216*Ar_3^2 - Ar_2^5 < 531441*Ar_4 /\ 4096*Ar_3 > 0 /\ 268435456*Ar_3^2 - Ar_2^5 < 4782969*Ar_4 /\ 16384*Ar_3 > 0 /\ 4294967296*Ar_3^2 - Ar_2^5 < 43046721*Ar_4 /\ 65536*Ar_3 > 0 /\ 68719476736*Ar_3^2 - Ar_2^5 < 387420489*Ar_4 /\ 262144*Ar_3 > 0 /\ 1099511627776*Ar_3^2 - Ar_2^5 < 3486784401*Ar_4 /\ 1048576*Ar_3 > 0 /\ 17592186044416*Ar_3^2 - Ar_2^5 < 31381059609*Ar_4 /\ 4194304*Ar_3 > 0 ] with all transitions in problem 16, the following new transition is obtained:
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 67108864*Ar_3, 2541865828329*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 /\ 16*Ar_3^2 - Ar_2^5 < 9*Ar_4 /\ 4*Ar_3 > 0 /\ 256*Ar_3^2 - Ar_2^5 < 81*Ar_4 /\ 16*Ar_3 > 0 /\ 4096*Ar_3^2 - Ar_2^5 < 729*Ar_4 /\ 64*Ar_3 > 0 /\ 65536*Ar_3^2 - Ar_2^5 < 6561*Ar_4 /\ 256*Ar_3 > 0 /\ 1048576*Ar_3^2 - Ar_2^5 < 59049*Ar_4 /\ 1024*Ar_3 > 0 /\ 16777216*Ar_3^2 - Ar_2^5 < 531441*Ar_4 /\ 4096*Ar_3 > 0 /\ 268435456*Ar_3^2 - Ar_2^5 < 4782969*Ar_4 /\ 16384*Ar_3 > 0 /\ 4294967296*Ar_3^2 - Ar_2^5 < 43046721*Ar_4 /\ 65536*Ar_3 > 0 /\ 68719476736*Ar_3^2 - Ar_2^5 < 387420489*Ar_4 /\ 262144*Ar_3 > 0 /\ 1099511627776*Ar_3^2 - Ar_2^5 < 3486784401*Ar_4 /\ 1048576*Ar_3 > 0 /\ 17592186044416*Ar_3^2 - Ar_2^5 < 31381059609*Ar_4 /\ 4194304*Ar_3 > 0 /\ 281474976710656*Ar_3^2 - Ar_2^5 < 282429536481*Ar_4 /\ 16777216*Ar_3 > 0 ]
We thus obtain the following problem:
17:	T:
		(Comp: 1, Cost: 14)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 67108864*Ar_3, 2541865828329*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 /\ 16*Ar_3^2 - Ar_2^5 < 9*Ar_4 /\ 4*Ar_3 > 0 /\ 256*Ar_3^2 - Ar_2^5 < 81*Ar_4 /\ 16*Ar_3 > 0 /\ 4096*Ar_3^2 - Ar_2^5 < 729*Ar_4 /\ 64*Ar_3 > 0 /\ 65536*Ar_3^2 - Ar_2^5 < 6561*Ar_4 /\ 256*Ar_3 > 0 /\ 1048576*Ar_3^2 - Ar_2^5 < 59049*Ar_4 /\ 1024*Ar_3 > 0 /\ 16777216*Ar_3^2 - Ar_2^5 < 531441*Ar_4 /\ 4096*Ar_3 > 0 /\ 268435456*Ar_3^2 - Ar_2^5 < 4782969*Ar_4 /\ 16384*Ar_3 > 0 /\ 4294967296*Ar_3^2 - Ar_2^5 < 43046721*Ar_4 /\ 65536*Ar_3 > 0 /\ 68719476736*Ar_3^2 - Ar_2^5 < 387420489*Ar_4 /\ 262144*Ar_3 > 0 /\ 1099511627776*Ar_3^2 - Ar_2^5 < 3486784401*Ar_4 /\ 1048576*Ar_3 > 0 /\ 17592186044416*Ar_3^2 - Ar_2^5 < 31381059609*Ar_4 /\ 4194304*Ar_3 > 0 /\ 281474976710656*Ar_3^2 - Ar_2^5 < 282429536481*Ar_4 /\ 16777216*Ar_3 > 0 ]
		(Comp: 1, Cost: 2)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 < 0 ]
		(Comp: ?, Cost: 1)     l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 ]
		(Comp: ?, Cost: 1)     l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 < 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 67108864*Ar_3, 2541865828329*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 /\ 16*Ar_3^2 - Ar_2^5 < 9*Ar_4 /\ 4*Ar_3 > 0 /\ 256*Ar_3^2 - Ar_2^5 < 81*Ar_4 /\ 16*Ar_3 > 0 /\ 4096*Ar_3^2 - Ar_2^5 < 729*Ar_4 /\ 64*Ar_3 > 0 /\ 65536*Ar_3^2 - Ar_2^5 < 6561*Ar_4 /\ 256*Ar_3 > 0 /\ 1048576*Ar_3^2 - Ar_2^5 < 59049*Ar_4 /\ 1024*Ar_3 > 0 /\ 16777216*Ar_3^2 - Ar_2^5 < 531441*Ar_4 /\ 4096*Ar_3 > 0 /\ 268435456*Ar_3^2 - Ar_2^5 < 4782969*Ar_4 /\ 16384*Ar_3 > 0 /\ 4294967296*Ar_3^2 - Ar_2^5 < 43046721*Ar_4 /\ 65536*Ar_3 > 0 /\ 68719476736*Ar_3^2 - Ar_2^5 < 387420489*Ar_4 /\ 262144*Ar_3 > 0 /\ 1099511627776*Ar_3^2 - Ar_2^5 < 3486784401*Ar_4 /\ 1048576*Ar_3 > 0 /\ 17592186044416*Ar_3^2 - Ar_2^5 < 31381059609*Ar_4 /\ 4194304*Ar_3 > 0 /\ 281474976710656*Ar_3^2 - Ar_2^5 < 282429536481*Ar_4 /\ 16777216*Ar_3 > 0 ] with all transitions in problem 17, the following new transition is obtained:
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, 268435456*Ar_3, 22876792454961*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 /\ 16*Ar_3^2 - Ar_2^5 < 9*Ar_4 /\ 4*Ar_3 > 0 /\ 256*Ar_3^2 - Ar_2^5 < 81*Ar_4 /\ 16*Ar_3 > 0 /\ 4096*Ar_3^2 - Ar_2^5 < 729*Ar_4 /\ 64*Ar_3 > 0 /\ 65536*Ar_3^2 - Ar_2^5 < 6561*Ar_4 /\ 256*Ar_3 > 0 /\ 1048576*Ar_3^2 - Ar_2^5 < 59049*Ar_4 /\ 1024*Ar_3 > 0 /\ 16777216*Ar_3^2 - Ar_2^5 < 531441*Ar_4 /\ 4096*Ar_3 > 0 /\ 268435456*Ar_3^2 - Ar_2^5 < 4782969*Ar_4 /\ 16384*Ar_3 > 0 /\ 4294967296*Ar_3^2 - Ar_2^5 < 43046721*Ar_4 /\ 65536*Ar_3 > 0 /\ 68719476736*Ar_3^2 - Ar_2^5 < 387420489*Ar_4 /\ 262144*Ar_3 > 0 /\ 1099511627776*Ar_3^2 - Ar_2^5 < 3486784401*Ar_4 /\ 1048576*Ar_3 > 0 /\ 17592186044416*Ar_3^2 - Ar_2^5 < 31381059609*Ar_4 /\ 4194304*Ar_3 > 0 /\ 281474976710656*Ar_3^2 - Ar_2^5 < 282429536481*Ar_4 /\ 16777216*Ar_3 > 0 /\ 4503599627370496*Ar_3^2 - Ar_2^5 < 2541865828329*Ar_4 /\ 67108864*Ar_3 > 0 ]
We thus obtain the following problem:
18:	T:
		(Comp: 1, Cost: 15)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(Ar_0, Ar_1, Ar_2, 268435456*Ar_3, 22876792454961*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 /\ 16*Ar_3^2 - Ar_2^5 < 9*Ar_4 /\ 4*Ar_3 > 0 /\ 256*Ar_3^2 - Ar_2^5 < 81*Ar_4 /\ 16*Ar_3 > 0 /\ 4096*Ar_3^2 - Ar_2^5 < 729*Ar_4 /\ 64*Ar_3 > 0 /\ 65536*Ar_3^2 - Ar_2^5 < 6561*Ar_4 /\ 256*Ar_3 > 0 /\ 1048576*Ar_3^2 - Ar_2^5 < 59049*Ar_4 /\ 1024*Ar_3 > 0 /\ 16777216*Ar_3^2 - Ar_2^5 < 531441*Ar_4 /\ 4096*Ar_3 > 0 /\ 268435456*Ar_3^2 - Ar_2^5 < 4782969*Ar_4 /\ 16384*Ar_3 > 0 /\ 4294967296*Ar_3^2 - Ar_2^5 < 43046721*Ar_4 /\ 65536*Ar_3 > 0 /\ 68719476736*Ar_3^2 - Ar_2^5 < 387420489*Ar_4 /\ 262144*Ar_3 > 0 /\ 1099511627776*Ar_3^2 - Ar_2^5 < 3486784401*Ar_4 /\ 1048576*Ar_3 > 0 /\ 17592186044416*Ar_3^2 - Ar_2^5 < 31381059609*Ar_4 /\ 4194304*Ar_3 > 0 /\ 281474976710656*Ar_3^2 - Ar_2^5 < 282429536481*Ar_4 /\ 16777216*Ar_3 > 0 /\ 4503599627370496*Ar_3^2 - Ar_2^5 < 2541865828329*Ar_4 /\ 67108864*Ar_3 > 0 ]
		(Comp: 1, Cost: 2)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ 0 <= 0 /\ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 < 0 ]
		(Comp: ?, Cost: 1)     l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 > 0 ]
		(Comp: ?, Cost: 1)     l1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(l1(-Ar_0, -Ar_1, Ar_2, 4*Ar_3, 9*Ar_4)) [ Ar_3^2 - Ar_2^5 < Ar_4 /\ Ar_3 < 0 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound ?

Time: 0.477 sec (SMT: 0.411 sec)
