
Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    l0(Ar_0, Ar_1, Ar_2) -> Com_1(l1(Ar_0, Ar_1, Ar_2))
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 < 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 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))
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 < 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 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

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 2, 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 ]
We thus obtain the following problem:
3:	T:
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)    l0(Ar_0, Ar_1, Ar_2) -> Com_1(l1(Ar_0, Ar_1, Ar_2))
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 < 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 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) -> Com_1(l1(Ar_0, Ar_1, Ar_2))
We thus obtain the following problem:
4:	T:
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 < 0 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

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

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

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(4*Ar_0, 9*Ar_1, 16*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 /\ 16*Ar_2^2 < 6*Ar_0*Ar_1 /\ 4*Ar_2 > 0 ] with all transitions in problem 6, the following new transition is obtained:
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(8*Ar_0, 27*Ar_1, 64*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 /\ 16*Ar_2^2 < 6*Ar_0*Ar_1 /\ 4*Ar_2 > 0 /\ 256*Ar_2^2 < 36*Ar_0*Ar_1 /\ 16*Ar_2 > 0 ]
We thus obtain the following problem:
7:	T:
		(Comp: 1, Cost: 4)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(8*Ar_0, 27*Ar_1, 64*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 /\ 16*Ar_2^2 < 6*Ar_0*Ar_1 /\ 4*Ar_2 > 0 /\ 256*Ar_2^2 < 36*Ar_0*Ar_1 /\ 16*Ar_2 > 0 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 < 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 < 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(8*Ar_0, 27*Ar_1, 64*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 /\ 16*Ar_2^2 < 6*Ar_0*Ar_1 /\ 4*Ar_2 > 0 /\ 256*Ar_2^2 < 36*Ar_0*Ar_1 /\ 16*Ar_2 > 0 ] with all transitions in problem 7, the following new transition is obtained:
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(16*Ar_0, 81*Ar_1, 256*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 /\ 16*Ar_2^2 < 6*Ar_0*Ar_1 /\ 4*Ar_2 > 0 /\ 256*Ar_2^2 < 36*Ar_0*Ar_1 /\ 16*Ar_2 > 0 /\ 4096*Ar_2^2 < 216*Ar_0*Ar_1 /\ 64*Ar_2 > 0 ]
We thus obtain the following problem:
8:	T:
		(Comp: 1, Cost: 5)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(16*Ar_0, 81*Ar_1, 256*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 /\ 16*Ar_2^2 < 6*Ar_0*Ar_1 /\ 4*Ar_2 > 0 /\ 256*Ar_2^2 < 36*Ar_0*Ar_1 /\ 16*Ar_2 > 0 /\ 4096*Ar_2^2 < 216*Ar_0*Ar_1 /\ 64*Ar_2 > 0 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 < 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 < 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(16*Ar_0, 81*Ar_1, 256*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 /\ 16*Ar_2^2 < 6*Ar_0*Ar_1 /\ 4*Ar_2 > 0 /\ 256*Ar_2^2 < 36*Ar_0*Ar_1 /\ 16*Ar_2 > 0 /\ 4096*Ar_2^2 < 216*Ar_0*Ar_1 /\ 64*Ar_2 > 0 ] with all transitions in problem 8, the following new transition is obtained:
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(32*Ar_0, 243*Ar_1, 1024*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 /\ 16*Ar_2^2 < 6*Ar_0*Ar_1 /\ 4*Ar_2 > 0 /\ 256*Ar_2^2 < 36*Ar_0*Ar_1 /\ 16*Ar_2 > 0 /\ 4096*Ar_2^2 < 216*Ar_0*Ar_1 /\ 64*Ar_2 > 0 /\ 65536*Ar_2^2 < 1296*Ar_0*Ar_1 /\ 256*Ar_2 > 0 ]
We thus obtain the following problem:
9:	T:
		(Comp: 1, Cost: 6)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(32*Ar_0, 243*Ar_1, 1024*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 /\ 16*Ar_2^2 < 6*Ar_0*Ar_1 /\ 4*Ar_2 > 0 /\ 256*Ar_2^2 < 36*Ar_0*Ar_1 /\ 16*Ar_2 > 0 /\ 4096*Ar_2^2 < 216*Ar_0*Ar_1 /\ 64*Ar_2 > 0 /\ 65536*Ar_2^2 < 1296*Ar_0*Ar_1 /\ 256*Ar_2 > 0 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 < 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 < 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(32*Ar_0, 243*Ar_1, 1024*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 /\ 16*Ar_2^2 < 6*Ar_0*Ar_1 /\ 4*Ar_2 > 0 /\ 256*Ar_2^2 < 36*Ar_0*Ar_1 /\ 16*Ar_2 > 0 /\ 4096*Ar_2^2 < 216*Ar_0*Ar_1 /\ 64*Ar_2 > 0 /\ 65536*Ar_2^2 < 1296*Ar_0*Ar_1 /\ 256*Ar_2 > 0 ] with all transitions in problem 9, the following new transition is obtained:
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(64*Ar_0, 729*Ar_1, 4096*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 /\ 16*Ar_2^2 < 6*Ar_0*Ar_1 /\ 4*Ar_2 > 0 /\ 256*Ar_2^2 < 36*Ar_0*Ar_1 /\ 16*Ar_2 > 0 /\ 4096*Ar_2^2 < 216*Ar_0*Ar_1 /\ 64*Ar_2 > 0 /\ 65536*Ar_2^2 < 1296*Ar_0*Ar_1 /\ 256*Ar_2 > 0 /\ 1048576*Ar_2^2 < 7776*Ar_0*Ar_1 /\ 1024*Ar_2 > 0 ]
We thus obtain the following problem:
10:	T:
		(Comp: 1, Cost: 7)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(64*Ar_0, 729*Ar_1, 4096*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 /\ 16*Ar_2^2 < 6*Ar_0*Ar_1 /\ 4*Ar_2 > 0 /\ 256*Ar_2^2 < 36*Ar_0*Ar_1 /\ 16*Ar_2 > 0 /\ 4096*Ar_2^2 < 216*Ar_0*Ar_1 /\ 64*Ar_2 > 0 /\ 65536*Ar_2^2 < 1296*Ar_0*Ar_1 /\ 256*Ar_2 > 0 /\ 1048576*Ar_2^2 < 7776*Ar_0*Ar_1 /\ 1024*Ar_2 > 0 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 < 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 < 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(64*Ar_0, 729*Ar_1, 4096*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 /\ 16*Ar_2^2 < 6*Ar_0*Ar_1 /\ 4*Ar_2 > 0 /\ 256*Ar_2^2 < 36*Ar_0*Ar_1 /\ 16*Ar_2 > 0 /\ 4096*Ar_2^2 < 216*Ar_0*Ar_1 /\ 64*Ar_2 > 0 /\ 65536*Ar_2^2 < 1296*Ar_0*Ar_1 /\ 256*Ar_2 > 0 /\ 1048576*Ar_2^2 < 7776*Ar_0*Ar_1 /\ 1024*Ar_2 > 0 ] with all transitions in problem 10, the following new transition is obtained:
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(128*Ar_0, 2187*Ar_1, 16384*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 /\ 16*Ar_2^2 < 6*Ar_0*Ar_1 /\ 4*Ar_2 > 0 /\ 256*Ar_2^2 < 36*Ar_0*Ar_1 /\ 16*Ar_2 > 0 /\ 4096*Ar_2^2 < 216*Ar_0*Ar_1 /\ 64*Ar_2 > 0 /\ 65536*Ar_2^2 < 1296*Ar_0*Ar_1 /\ 256*Ar_2 > 0 /\ 1048576*Ar_2^2 < 7776*Ar_0*Ar_1 /\ 1024*Ar_2 > 0 /\ 16777216*Ar_2^2 < 46656*Ar_0*Ar_1 /\ 4096*Ar_2 > 0 ]
We thus obtain the following problem:
11:	T:
		(Comp: 1, Cost: 8)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(128*Ar_0, 2187*Ar_1, 16384*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 /\ 16*Ar_2^2 < 6*Ar_0*Ar_1 /\ 4*Ar_2 > 0 /\ 256*Ar_2^2 < 36*Ar_0*Ar_1 /\ 16*Ar_2 > 0 /\ 4096*Ar_2^2 < 216*Ar_0*Ar_1 /\ 64*Ar_2 > 0 /\ 65536*Ar_2^2 < 1296*Ar_0*Ar_1 /\ 256*Ar_2 > 0 /\ 1048576*Ar_2^2 < 7776*Ar_0*Ar_1 /\ 1024*Ar_2 > 0 /\ 16777216*Ar_2^2 < 46656*Ar_0*Ar_1 /\ 4096*Ar_2 > 0 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 < 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 < 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(128*Ar_0, 2187*Ar_1, 16384*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 /\ 16*Ar_2^2 < 6*Ar_0*Ar_1 /\ 4*Ar_2 > 0 /\ 256*Ar_2^2 < 36*Ar_0*Ar_1 /\ 16*Ar_2 > 0 /\ 4096*Ar_2^2 < 216*Ar_0*Ar_1 /\ 64*Ar_2 > 0 /\ 65536*Ar_2^2 < 1296*Ar_0*Ar_1 /\ 256*Ar_2 > 0 /\ 1048576*Ar_2^2 < 7776*Ar_0*Ar_1 /\ 1024*Ar_2 > 0 /\ 16777216*Ar_2^2 < 46656*Ar_0*Ar_1 /\ 4096*Ar_2 > 0 ] with all transitions in problem 11, the following new transition is obtained:
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(256*Ar_0, 6561*Ar_1, 65536*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 /\ 16*Ar_2^2 < 6*Ar_0*Ar_1 /\ 4*Ar_2 > 0 /\ 256*Ar_2^2 < 36*Ar_0*Ar_1 /\ 16*Ar_2 > 0 /\ 4096*Ar_2^2 < 216*Ar_0*Ar_1 /\ 64*Ar_2 > 0 /\ 65536*Ar_2^2 < 1296*Ar_0*Ar_1 /\ 256*Ar_2 > 0 /\ 1048576*Ar_2^2 < 7776*Ar_0*Ar_1 /\ 1024*Ar_2 > 0 /\ 16777216*Ar_2^2 < 46656*Ar_0*Ar_1 /\ 4096*Ar_2 > 0 /\ 268435456*Ar_2^2 < 279936*Ar_0*Ar_1 /\ 16384*Ar_2 > 0 ]
We thus obtain the following problem:
12:	T:
		(Comp: 1, Cost: 9)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(256*Ar_0, 6561*Ar_1, 65536*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 /\ 16*Ar_2^2 < 6*Ar_0*Ar_1 /\ 4*Ar_2 > 0 /\ 256*Ar_2^2 < 36*Ar_0*Ar_1 /\ 16*Ar_2 > 0 /\ 4096*Ar_2^2 < 216*Ar_0*Ar_1 /\ 64*Ar_2 > 0 /\ 65536*Ar_2^2 < 1296*Ar_0*Ar_1 /\ 256*Ar_2 > 0 /\ 1048576*Ar_2^2 < 7776*Ar_0*Ar_1 /\ 1024*Ar_2 > 0 /\ 16777216*Ar_2^2 < 46656*Ar_0*Ar_1 /\ 4096*Ar_2 > 0 /\ 268435456*Ar_2^2 < 279936*Ar_0*Ar_1 /\ 16384*Ar_2 > 0 ]
		(Comp: 1, Cost: 2)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 < 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 < 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(256*Ar_0, 6561*Ar_1, 65536*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 /\ 16*Ar_2^2 < 6*Ar_0*Ar_1 /\ 4*Ar_2 > 0 /\ 256*Ar_2^2 < 36*Ar_0*Ar_1 /\ 16*Ar_2 > 0 /\ 4096*Ar_2^2 < 216*Ar_0*Ar_1 /\ 64*Ar_2 > 0 /\ 65536*Ar_2^2 < 1296*Ar_0*Ar_1 /\ 256*Ar_2 > 0 /\ 1048576*Ar_2^2 < 7776*Ar_0*Ar_1 /\ 1024*Ar_2 > 0 /\ 16777216*Ar_2^2 < 46656*Ar_0*Ar_1 /\ 4096*Ar_2 > 0 /\ 268435456*Ar_2^2 < 279936*Ar_0*Ar_1 /\ 16384*Ar_2 > 0 ] with all transitions in problem 12, the following new transition is obtained:
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(512*Ar_0, 19683*Ar_1, 262144*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 /\ 16*Ar_2^2 < 6*Ar_0*Ar_1 /\ 4*Ar_2 > 0 /\ 256*Ar_2^2 < 36*Ar_0*Ar_1 /\ 16*Ar_2 > 0 /\ 4096*Ar_2^2 < 216*Ar_0*Ar_1 /\ 64*Ar_2 > 0 /\ 65536*Ar_2^2 < 1296*Ar_0*Ar_1 /\ 256*Ar_2 > 0 /\ 1048576*Ar_2^2 < 7776*Ar_0*Ar_1 /\ 1024*Ar_2 > 0 /\ 16777216*Ar_2^2 < 46656*Ar_0*Ar_1 /\ 4096*Ar_2 > 0 /\ 268435456*Ar_2^2 < 279936*Ar_0*Ar_1 /\ 16384*Ar_2 > 0 /\ 4294967296*Ar_2^2 < 1679616*Ar_0*Ar_1 /\ 65536*Ar_2 > 0 ]
We thus obtain the following problem:
13:	T:
		(Comp: 1, Cost: 10)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(512*Ar_0, 19683*Ar_1, 262144*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 /\ 16*Ar_2^2 < 6*Ar_0*Ar_1 /\ 4*Ar_2 > 0 /\ 256*Ar_2^2 < 36*Ar_0*Ar_1 /\ 16*Ar_2 > 0 /\ 4096*Ar_2^2 < 216*Ar_0*Ar_1 /\ 64*Ar_2 > 0 /\ 65536*Ar_2^2 < 1296*Ar_0*Ar_1 /\ 256*Ar_2 > 0 /\ 1048576*Ar_2^2 < 7776*Ar_0*Ar_1 /\ 1024*Ar_2 > 0 /\ 16777216*Ar_2^2 < 46656*Ar_0*Ar_1 /\ 4096*Ar_2 > 0 /\ 268435456*Ar_2^2 < 279936*Ar_0*Ar_1 /\ 16384*Ar_2 > 0 /\ 4294967296*Ar_2^2 < 1679616*Ar_0*Ar_1 /\ 65536*Ar_2 > 0 ]
		(Comp: 1, Cost: 2)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 < 0 ]
		(Comp: ?, Cost: 1)     l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 ]
		(Comp: ?, Cost: 1)     l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 < 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(512*Ar_0, 19683*Ar_1, 262144*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 /\ 16*Ar_2^2 < 6*Ar_0*Ar_1 /\ 4*Ar_2 > 0 /\ 256*Ar_2^2 < 36*Ar_0*Ar_1 /\ 16*Ar_2 > 0 /\ 4096*Ar_2^2 < 216*Ar_0*Ar_1 /\ 64*Ar_2 > 0 /\ 65536*Ar_2^2 < 1296*Ar_0*Ar_1 /\ 256*Ar_2 > 0 /\ 1048576*Ar_2^2 < 7776*Ar_0*Ar_1 /\ 1024*Ar_2 > 0 /\ 16777216*Ar_2^2 < 46656*Ar_0*Ar_1 /\ 4096*Ar_2 > 0 /\ 268435456*Ar_2^2 < 279936*Ar_0*Ar_1 /\ 16384*Ar_2 > 0 /\ 4294967296*Ar_2^2 < 1679616*Ar_0*Ar_1 /\ 65536*Ar_2 > 0 ] with all transitions in problem 13, the following new transition is obtained:
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(1024*Ar_0, 59049*Ar_1, 1048576*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 /\ 16*Ar_2^2 < 6*Ar_0*Ar_1 /\ 4*Ar_2 > 0 /\ 256*Ar_2^2 < 36*Ar_0*Ar_1 /\ 16*Ar_2 > 0 /\ 4096*Ar_2^2 < 216*Ar_0*Ar_1 /\ 64*Ar_2 > 0 /\ 65536*Ar_2^2 < 1296*Ar_0*Ar_1 /\ 256*Ar_2 > 0 /\ 1048576*Ar_2^2 < 7776*Ar_0*Ar_1 /\ 1024*Ar_2 > 0 /\ 16777216*Ar_2^2 < 46656*Ar_0*Ar_1 /\ 4096*Ar_2 > 0 /\ 268435456*Ar_2^2 < 279936*Ar_0*Ar_1 /\ 16384*Ar_2 > 0 /\ 4294967296*Ar_2^2 < 1679616*Ar_0*Ar_1 /\ 65536*Ar_2 > 0 /\ 68719476736*Ar_2^2 < 10077696*Ar_0*Ar_1 /\ 262144*Ar_2 > 0 ]
We thus obtain the following problem:
14:	T:
		(Comp: 1, Cost: 11)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(1024*Ar_0, 59049*Ar_1, 1048576*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 /\ 16*Ar_2^2 < 6*Ar_0*Ar_1 /\ 4*Ar_2 > 0 /\ 256*Ar_2^2 < 36*Ar_0*Ar_1 /\ 16*Ar_2 > 0 /\ 4096*Ar_2^2 < 216*Ar_0*Ar_1 /\ 64*Ar_2 > 0 /\ 65536*Ar_2^2 < 1296*Ar_0*Ar_1 /\ 256*Ar_2 > 0 /\ 1048576*Ar_2^2 < 7776*Ar_0*Ar_1 /\ 1024*Ar_2 > 0 /\ 16777216*Ar_2^2 < 46656*Ar_0*Ar_1 /\ 4096*Ar_2 > 0 /\ 268435456*Ar_2^2 < 279936*Ar_0*Ar_1 /\ 16384*Ar_2 > 0 /\ 4294967296*Ar_2^2 < 1679616*Ar_0*Ar_1 /\ 65536*Ar_2 > 0 /\ 68719476736*Ar_2^2 < 10077696*Ar_0*Ar_1 /\ 262144*Ar_2 > 0 ]
		(Comp: 1, Cost: 2)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 < 0 ]
		(Comp: ?, Cost: 1)     l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 ]
		(Comp: ?, Cost: 1)     l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 < 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(1024*Ar_0, 59049*Ar_1, 1048576*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 /\ 16*Ar_2^2 < 6*Ar_0*Ar_1 /\ 4*Ar_2 > 0 /\ 256*Ar_2^2 < 36*Ar_0*Ar_1 /\ 16*Ar_2 > 0 /\ 4096*Ar_2^2 < 216*Ar_0*Ar_1 /\ 64*Ar_2 > 0 /\ 65536*Ar_2^2 < 1296*Ar_0*Ar_1 /\ 256*Ar_2 > 0 /\ 1048576*Ar_2^2 < 7776*Ar_0*Ar_1 /\ 1024*Ar_2 > 0 /\ 16777216*Ar_2^2 < 46656*Ar_0*Ar_1 /\ 4096*Ar_2 > 0 /\ 268435456*Ar_2^2 < 279936*Ar_0*Ar_1 /\ 16384*Ar_2 > 0 /\ 4294967296*Ar_2^2 < 1679616*Ar_0*Ar_1 /\ 65536*Ar_2 > 0 /\ 68719476736*Ar_2^2 < 10077696*Ar_0*Ar_1 /\ 262144*Ar_2 > 0 ] with all transitions in problem 14, the following new transition is obtained:
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2048*Ar_0, 177147*Ar_1, 4194304*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 /\ 16*Ar_2^2 < 6*Ar_0*Ar_1 /\ 4*Ar_2 > 0 /\ 256*Ar_2^2 < 36*Ar_0*Ar_1 /\ 16*Ar_2 > 0 /\ 4096*Ar_2^2 < 216*Ar_0*Ar_1 /\ 64*Ar_2 > 0 /\ 65536*Ar_2^2 < 1296*Ar_0*Ar_1 /\ 256*Ar_2 > 0 /\ 1048576*Ar_2^2 < 7776*Ar_0*Ar_1 /\ 1024*Ar_2 > 0 /\ 16777216*Ar_2^2 < 46656*Ar_0*Ar_1 /\ 4096*Ar_2 > 0 /\ 268435456*Ar_2^2 < 279936*Ar_0*Ar_1 /\ 16384*Ar_2 > 0 /\ 4294967296*Ar_2^2 < 1679616*Ar_0*Ar_1 /\ 65536*Ar_2 > 0 /\ 68719476736*Ar_2^2 < 10077696*Ar_0*Ar_1 /\ 262144*Ar_2 > 0 /\ 1099511627776*Ar_2^2 < 60466176*Ar_0*Ar_1 /\ 1048576*Ar_2 > 0 ]
We thus obtain the following problem:
15:	T:
		(Comp: 1, Cost: 12)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2048*Ar_0, 177147*Ar_1, 4194304*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 /\ 16*Ar_2^2 < 6*Ar_0*Ar_1 /\ 4*Ar_2 > 0 /\ 256*Ar_2^2 < 36*Ar_0*Ar_1 /\ 16*Ar_2 > 0 /\ 4096*Ar_2^2 < 216*Ar_0*Ar_1 /\ 64*Ar_2 > 0 /\ 65536*Ar_2^2 < 1296*Ar_0*Ar_1 /\ 256*Ar_2 > 0 /\ 1048576*Ar_2^2 < 7776*Ar_0*Ar_1 /\ 1024*Ar_2 > 0 /\ 16777216*Ar_2^2 < 46656*Ar_0*Ar_1 /\ 4096*Ar_2 > 0 /\ 268435456*Ar_2^2 < 279936*Ar_0*Ar_1 /\ 16384*Ar_2 > 0 /\ 4294967296*Ar_2^2 < 1679616*Ar_0*Ar_1 /\ 65536*Ar_2 > 0 /\ 68719476736*Ar_2^2 < 10077696*Ar_0*Ar_1 /\ 262144*Ar_2 > 0 /\ 1099511627776*Ar_2^2 < 60466176*Ar_0*Ar_1 /\ 1048576*Ar_2 > 0 ]
		(Comp: 1, Cost: 2)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 < 0 ]
		(Comp: ?, Cost: 1)     l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 ]
		(Comp: ?, Cost: 1)     l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 < 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2048*Ar_0, 177147*Ar_1, 4194304*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 /\ 16*Ar_2^2 < 6*Ar_0*Ar_1 /\ 4*Ar_2 > 0 /\ 256*Ar_2^2 < 36*Ar_0*Ar_1 /\ 16*Ar_2 > 0 /\ 4096*Ar_2^2 < 216*Ar_0*Ar_1 /\ 64*Ar_2 > 0 /\ 65536*Ar_2^2 < 1296*Ar_0*Ar_1 /\ 256*Ar_2 > 0 /\ 1048576*Ar_2^2 < 7776*Ar_0*Ar_1 /\ 1024*Ar_2 > 0 /\ 16777216*Ar_2^2 < 46656*Ar_0*Ar_1 /\ 4096*Ar_2 > 0 /\ 268435456*Ar_2^2 < 279936*Ar_0*Ar_1 /\ 16384*Ar_2 > 0 /\ 4294967296*Ar_2^2 < 1679616*Ar_0*Ar_1 /\ 65536*Ar_2 > 0 /\ 68719476736*Ar_2^2 < 10077696*Ar_0*Ar_1 /\ 262144*Ar_2 > 0 /\ 1099511627776*Ar_2^2 < 60466176*Ar_0*Ar_1 /\ 1048576*Ar_2 > 0 ] with all transitions in problem 15, the following new transition is obtained:
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(4096*Ar_0, 531441*Ar_1, 16777216*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 /\ 16*Ar_2^2 < 6*Ar_0*Ar_1 /\ 4*Ar_2 > 0 /\ 256*Ar_2^2 < 36*Ar_0*Ar_1 /\ 16*Ar_2 > 0 /\ 4096*Ar_2^2 < 216*Ar_0*Ar_1 /\ 64*Ar_2 > 0 /\ 65536*Ar_2^2 < 1296*Ar_0*Ar_1 /\ 256*Ar_2 > 0 /\ 1048576*Ar_2^2 < 7776*Ar_0*Ar_1 /\ 1024*Ar_2 > 0 /\ 16777216*Ar_2^2 < 46656*Ar_0*Ar_1 /\ 4096*Ar_2 > 0 /\ 268435456*Ar_2^2 < 279936*Ar_0*Ar_1 /\ 16384*Ar_2 > 0 /\ 4294967296*Ar_2^2 < 1679616*Ar_0*Ar_1 /\ 65536*Ar_2 > 0 /\ 68719476736*Ar_2^2 < 10077696*Ar_0*Ar_1 /\ 262144*Ar_2 > 0 /\ 1099511627776*Ar_2^2 < 60466176*Ar_0*Ar_1 /\ 1048576*Ar_2 > 0 /\ 17592186044416*Ar_2^2 < 362797056*Ar_0*Ar_1 /\ 4194304*Ar_2 > 0 ]
We thus obtain the following problem:
16:	T:
		(Comp: 1, Cost: 13)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(4096*Ar_0, 531441*Ar_1, 16777216*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 /\ 16*Ar_2^2 < 6*Ar_0*Ar_1 /\ 4*Ar_2 > 0 /\ 256*Ar_2^2 < 36*Ar_0*Ar_1 /\ 16*Ar_2 > 0 /\ 4096*Ar_2^2 < 216*Ar_0*Ar_1 /\ 64*Ar_2 > 0 /\ 65536*Ar_2^2 < 1296*Ar_0*Ar_1 /\ 256*Ar_2 > 0 /\ 1048576*Ar_2^2 < 7776*Ar_0*Ar_1 /\ 1024*Ar_2 > 0 /\ 16777216*Ar_2^2 < 46656*Ar_0*Ar_1 /\ 4096*Ar_2 > 0 /\ 268435456*Ar_2^2 < 279936*Ar_0*Ar_1 /\ 16384*Ar_2 > 0 /\ 4294967296*Ar_2^2 < 1679616*Ar_0*Ar_1 /\ 65536*Ar_2 > 0 /\ 68719476736*Ar_2^2 < 10077696*Ar_0*Ar_1 /\ 262144*Ar_2 > 0 /\ 1099511627776*Ar_2^2 < 60466176*Ar_0*Ar_1 /\ 1048576*Ar_2 > 0 /\ 17592186044416*Ar_2^2 < 362797056*Ar_0*Ar_1 /\ 4194304*Ar_2 > 0 ]
		(Comp: 1, Cost: 2)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 < 0 ]
		(Comp: ?, Cost: 1)     l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 ]
		(Comp: ?, Cost: 1)     l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 < 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(4096*Ar_0, 531441*Ar_1, 16777216*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 /\ 16*Ar_2^2 < 6*Ar_0*Ar_1 /\ 4*Ar_2 > 0 /\ 256*Ar_2^2 < 36*Ar_0*Ar_1 /\ 16*Ar_2 > 0 /\ 4096*Ar_2^2 < 216*Ar_0*Ar_1 /\ 64*Ar_2 > 0 /\ 65536*Ar_2^2 < 1296*Ar_0*Ar_1 /\ 256*Ar_2 > 0 /\ 1048576*Ar_2^2 < 7776*Ar_0*Ar_1 /\ 1024*Ar_2 > 0 /\ 16777216*Ar_2^2 < 46656*Ar_0*Ar_1 /\ 4096*Ar_2 > 0 /\ 268435456*Ar_2^2 < 279936*Ar_0*Ar_1 /\ 16384*Ar_2 > 0 /\ 4294967296*Ar_2^2 < 1679616*Ar_0*Ar_1 /\ 65536*Ar_2 > 0 /\ 68719476736*Ar_2^2 < 10077696*Ar_0*Ar_1 /\ 262144*Ar_2 > 0 /\ 1099511627776*Ar_2^2 < 60466176*Ar_0*Ar_1 /\ 1048576*Ar_2 > 0 /\ 17592186044416*Ar_2^2 < 362797056*Ar_0*Ar_1 /\ 4194304*Ar_2 > 0 ] with all transitions in problem 16, the following new transition is obtained:
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(8192*Ar_0, 1594323*Ar_1, 67108864*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 /\ 16*Ar_2^2 < 6*Ar_0*Ar_1 /\ 4*Ar_2 > 0 /\ 256*Ar_2^2 < 36*Ar_0*Ar_1 /\ 16*Ar_2 > 0 /\ 4096*Ar_2^2 < 216*Ar_0*Ar_1 /\ 64*Ar_2 > 0 /\ 65536*Ar_2^2 < 1296*Ar_0*Ar_1 /\ 256*Ar_2 > 0 /\ 1048576*Ar_2^2 < 7776*Ar_0*Ar_1 /\ 1024*Ar_2 > 0 /\ 16777216*Ar_2^2 < 46656*Ar_0*Ar_1 /\ 4096*Ar_2 > 0 /\ 268435456*Ar_2^2 < 279936*Ar_0*Ar_1 /\ 16384*Ar_2 > 0 /\ 4294967296*Ar_2^2 < 1679616*Ar_0*Ar_1 /\ 65536*Ar_2 > 0 /\ 68719476736*Ar_2^2 < 10077696*Ar_0*Ar_1 /\ 262144*Ar_2 > 0 /\ 1099511627776*Ar_2^2 < 60466176*Ar_0*Ar_1 /\ 1048576*Ar_2 > 0 /\ 17592186044416*Ar_2^2 < 362797056*Ar_0*Ar_1 /\ 4194304*Ar_2 > 0 /\ 281474976710656*Ar_2^2 < 2176782336*Ar_0*Ar_1 /\ 16777216*Ar_2 > 0 ]
We thus obtain the following problem:
17:	T:
		(Comp: 1, Cost: 14)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(8192*Ar_0, 1594323*Ar_1, 67108864*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 /\ 16*Ar_2^2 < 6*Ar_0*Ar_1 /\ 4*Ar_2 > 0 /\ 256*Ar_2^2 < 36*Ar_0*Ar_1 /\ 16*Ar_2 > 0 /\ 4096*Ar_2^2 < 216*Ar_0*Ar_1 /\ 64*Ar_2 > 0 /\ 65536*Ar_2^2 < 1296*Ar_0*Ar_1 /\ 256*Ar_2 > 0 /\ 1048576*Ar_2^2 < 7776*Ar_0*Ar_1 /\ 1024*Ar_2 > 0 /\ 16777216*Ar_2^2 < 46656*Ar_0*Ar_1 /\ 4096*Ar_2 > 0 /\ 268435456*Ar_2^2 < 279936*Ar_0*Ar_1 /\ 16384*Ar_2 > 0 /\ 4294967296*Ar_2^2 < 1679616*Ar_0*Ar_1 /\ 65536*Ar_2 > 0 /\ 68719476736*Ar_2^2 < 10077696*Ar_0*Ar_1 /\ 262144*Ar_2 > 0 /\ 1099511627776*Ar_2^2 < 60466176*Ar_0*Ar_1 /\ 1048576*Ar_2 > 0 /\ 17592186044416*Ar_2^2 < 362797056*Ar_0*Ar_1 /\ 4194304*Ar_2 > 0 /\ 281474976710656*Ar_2^2 < 2176782336*Ar_0*Ar_1 /\ 16777216*Ar_2 > 0 ]
		(Comp: 1, Cost: 2)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 < 0 ]
		(Comp: ?, Cost: 1)     l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 ]
		(Comp: ?, Cost: 1)     l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 < 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(8192*Ar_0, 1594323*Ar_1, 67108864*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 /\ 16*Ar_2^2 < 6*Ar_0*Ar_1 /\ 4*Ar_2 > 0 /\ 256*Ar_2^2 < 36*Ar_0*Ar_1 /\ 16*Ar_2 > 0 /\ 4096*Ar_2^2 < 216*Ar_0*Ar_1 /\ 64*Ar_2 > 0 /\ 65536*Ar_2^2 < 1296*Ar_0*Ar_1 /\ 256*Ar_2 > 0 /\ 1048576*Ar_2^2 < 7776*Ar_0*Ar_1 /\ 1024*Ar_2 > 0 /\ 16777216*Ar_2^2 < 46656*Ar_0*Ar_1 /\ 4096*Ar_2 > 0 /\ 268435456*Ar_2^2 < 279936*Ar_0*Ar_1 /\ 16384*Ar_2 > 0 /\ 4294967296*Ar_2^2 < 1679616*Ar_0*Ar_1 /\ 65536*Ar_2 > 0 /\ 68719476736*Ar_2^2 < 10077696*Ar_0*Ar_1 /\ 262144*Ar_2 > 0 /\ 1099511627776*Ar_2^2 < 60466176*Ar_0*Ar_1 /\ 1048576*Ar_2 > 0 /\ 17592186044416*Ar_2^2 < 362797056*Ar_0*Ar_1 /\ 4194304*Ar_2 > 0 /\ 281474976710656*Ar_2^2 < 2176782336*Ar_0*Ar_1 /\ 16777216*Ar_2 > 0 ] with all transitions in problem 17, the following new transition is obtained:
	koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(16384*Ar_0, 4782969*Ar_1, 268435456*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 /\ 16*Ar_2^2 < 6*Ar_0*Ar_1 /\ 4*Ar_2 > 0 /\ 256*Ar_2^2 < 36*Ar_0*Ar_1 /\ 16*Ar_2 > 0 /\ 4096*Ar_2^2 < 216*Ar_0*Ar_1 /\ 64*Ar_2 > 0 /\ 65536*Ar_2^2 < 1296*Ar_0*Ar_1 /\ 256*Ar_2 > 0 /\ 1048576*Ar_2^2 < 7776*Ar_0*Ar_1 /\ 1024*Ar_2 > 0 /\ 16777216*Ar_2^2 < 46656*Ar_0*Ar_1 /\ 4096*Ar_2 > 0 /\ 268435456*Ar_2^2 < 279936*Ar_0*Ar_1 /\ 16384*Ar_2 > 0 /\ 4294967296*Ar_2^2 < 1679616*Ar_0*Ar_1 /\ 65536*Ar_2 > 0 /\ 68719476736*Ar_2^2 < 10077696*Ar_0*Ar_1 /\ 262144*Ar_2 > 0 /\ 1099511627776*Ar_2^2 < 60466176*Ar_0*Ar_1 /\ 1048576*Ar_2 > 0 /\ 17592186044416*Ar_2^2 < 362797056*Ar_0*Ar_1 /\ 4194304*Ar_2 > 0 /\ 281474976710656*Ar_2^2 < 2176782336*Ar_0*Ar_1 /\ 16777216*Ar_2 > 0 /\ 4503599627370496*Ar_2^2 < 13060694016*Ar_0*Ar_1 /\ 67108864*Ar_2 > 0 ]
We thus obtain the following problem:
18:	T:
		(Comp: 1, Cost: 15)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(16384*Ar_0, 4782969*Ar_1, 268435456*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 /\ 16*Ar_2^2 < 6*Ar_0*Ar_1 /\ 4*Ar_2 > 0 /\ 256*Ar_2^2 < 36*Ar_0*Ar_1 /\ 16*Ar_2 > 0 /\ 4096*Ar_2^2 < 216*Ar_0*Ar_1 /\ 64*Ar_2 > 0 /\ 65536*Ar_2^2 < 1296*Ar_0*Ar_1 /\ 256*Ar_2 > 0 /\ 1048576*Ar_2^2 < 7776*Ar_0*Ar_1 /\ 1024*Ar_2 > 0 /\ 16777216*Ar_2^2 < 46656*Ar_0*Ar_1 /\ 4096*Ar_2 > 0 /\ 268435456*Ar_2^2 < 279936*Ar_0*Ar_1 /\ 16384*Ar_2 > 0 /\ 4294967296*Ar_2^2 < 1679616*Ar_0*Ar_1 /\ 65536*Ar_2 > 0 /\ 68719476736*Ar_2^2 < 10077696*Ar_0*Ar_1 /\ 262144*Ar_2 > 0 /\ 1099511627776*Ar_2^2 < 60466176*Ar_0*Ar_1 /\ 1048576*Ar_2 > 0 /\ 17592186044416*Ar_2^2 < 362797056*Ar_0*Ar_1 /\ 4194304*Ar_2 > 0 /\ 281474976710656*Ar_2^2 < 2176782336*Ar_0*Ar_1 /\ 16777216*Ar_2 > 0 /\ 4503599627370496*Ar_2^2 < 13060694016*Ar_0*Ar_1 /\ 67108864*Ar_2 > 0 ]
		(Comp: 1, Cost: 2)     koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ 0 <= 0 /\ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 < 0 ]
		(Comp: ?, Cost: 1)     l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 > 0 ]
		(Comp: ?, Cost: 1)     l1(Ar_0, Ar_1, Ar_2) -> Com_1(l1(2*Ar_0, 3*Ar_1, 4*Ar_2)) [ Ar_2^2 < Ar_0*Ar_1 /\ Ar_2 < 0 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound ?

Time: 0.478 sec (SMT: 0.418 sec)
