
Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    l0(Ar_0, Ar_1) -> Com_1(l1(Ar_0, Ar_1))
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1) -> Com_1(l1(2*Ar_0, Ar_1*Fresh_0)) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1) -> Com_1(l0(Ar_0, Ar_1)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 1 produces the following problem:
2:	T:
		(Comp: 1, Cost: 1)    l0(Ar_0, Ar_1) -> Com_1(l1(Ar_0, Ar_1))
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1) -> Com_1(l1(2*Ar_0, Ar_1*Fresh_0)) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1) -> Com_1(l0(Ar_0, Ar_1)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l0(Ar_0, Ar_1) -> Com_1(l1(Ar_0, Ar_1)) with all transitions in problem 2, the following new transition is obtained:
	l0(Ar_0, Ar_1) -> Com_1(l1(2*Ar_0, Ar_1*Fresh_0)) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 ]
We thus obtain the following problem:
3:	T:
		(Comp: 1, Cost: 2)    l0(Ar_0, Ar_1) -> Com_1(l1(2*Ar_0, Ar_1*Fresh_0)) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1) -> Com_1(l1(2*Ar_0, Ar_1*Fresh_0)) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1) -> Com_1(l0(Ar_0, Ar_1)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l0(Ar_0, Ar_1) -> Com_1(l1(2*Ar_0, Ar_1*Fresh_0)) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 ] with all transitions in problem 3, the following new transition is obtained:
	l0(Ar_0, Ar_1) -> Com_1(l1(4*Ar_0, Ar_1*Fresh_0*Fresh_0')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 ]
We thus obtain the following problem:
4:	T:
		(Comp: 1, Cost: 3)    l0(Ar_0, Ar_1) -> Com_1(l1(4*Ar_0, Ar_1*Fresh_0*Fresh_0')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1) -> Com_1(l1(2*Ar_0, Ar_1*Fresh_0)) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1) -> Com_1(l0(Ar_0, Ar_1)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l0(Ar_0, Ar_1) -> Com_1(l1(4*Ar_0, Ar_1*Fresh_0*Fresh_0')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 ] with all transitions in problem 4, the following new transition is obtained:
	l0(Ar_0, Ar_1) -> Com_1(l1(8*Ar_0, Ar_1*Fresh_0*Fresh_0'*Fresh_0'')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 /\ Ar_1*Fresh_0*Fresh_0' < 4*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0' /\ Fresh_0'' >= 3 ]
We thus obtain the following problem:
5:	T:
		(Comp: 1, Cost: 4)    l0(Ar_0, Ar_1) -> Com_1(l1(8*Ar_0, Ar_1*Fresh_0*Fresh_0'*Fresh_0'')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 /\ Ar_1*Fresh_0*Fresh_0' < 4*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0' /\ Fresh_0'' >= 3 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1) -> Com_1(l1(2*Ar_0, Ar_1*Fresh_0)) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1) -> Com_1(l0(Ar_0, Ar_1)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l0(Ar_0, Ar_1) -> Com_1(l1(8*Ar_0, Ar_1*Fresh_0*Fresh_0'*Fresh_0'')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 /\ Ar_1*Fresh_0*Fresh_0' < 4*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0' /\ Fresh_0'' >= 3 ] with all transitions in problem 5, the following new transition is obtained:
	l0(Ar_0, Ar_1) -> Com_1(l1(16*Ar_0, Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 /\ Ar_1*Fresh_0*Fresh_0' < 4*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0' /\ Fresh_0'' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0'' < 8*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0'' /\ Fresh_0''' >= 3 ]
We thus obtain the following problem:
6:	T:
		(Comp: 1, Cost: 5)    l0(Ar_0, Ar_1) -> Com_1(l1(16*Ar_0, Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 /\ Ar_1*Fresh_0*Fresh_0' < 4*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0' /\ Fresh_0'' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0'' < 8*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0'' /\ Fresh_0''' >= 3 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1) -> Com_1(l1(2*Ar_0, Ar_1*Fresh_0)) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1) -> Com_1(l0(Ar_0, Ar_1)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l0(Ar_0, Ar_1) -> Com_1(l1(16*Ar_0, Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 /\ Ar_1*Fresh_0*Fresh_0' < 4*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0' /\ Fresh_0'' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0'' < 8*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0'' /\ Fresh_0''' >= 3 ] with all transitions in problem 6, the following new transition is obtained:
	l0(Ar_0, Ar_1) -> Com_1(l1(32*Ar_0, Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 /\ Ar_1*Fresh_0*Fresh_0' < 4*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0' /\ Fresh_0'' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0'' < 8*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0'' /\ Fresh_0''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' < 16*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' /\ Fresh_0'''' >= 3 ]
We thus obtain the following problem:
7:	T:
		(Comp: 1, Cost: 6)    l0(Ar_0, Ar_1) -> Com_1(l1(32*Ar_0, Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 /\ Ar_1*Fresh_0*Fresh_0' < 4*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0' /\ Fresh_0'' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0'' < 8*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0'' /\ Fresh_0''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' < 16*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' /\ Fresh_0'''' >= 3 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1) -> Com_1(l1(2*Ar_0, Ar_1*Fresh_0)) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1) -> Com_1(l0(Ar_0, Ar_1)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l0(Ar_0, Ar_1) -> Com_1(l1(32*Ar_0, Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 /\ Ar_1*Fresh_0*Fresh_0' < 4*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0' /\ Fresh_0'' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0'' < 8*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0'' /\ Fresh_0''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' < 16*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' /\ Fresh_0'''' >= 3 ] with all transitions in problem 7, the following new transition is obtained:
	l0(Ar_0, Ar_1) -> Com_1(l1(64*Ar_0, Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 /\ Ar_1*Fresh_0*Fresh_0' < 4*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0' /\ Fresh_0'' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0'' < 8*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0'' /\ Fresh_0''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' < 16*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' /\ Fresh_0'''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' < 32*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' /\ Fresh_0''''' >= 3 ]
We thus obtain the following problem:
8:	T:
		(Comp: 1, Cost: 7)    l0(Ar_0, Ar_1) -> Com_1(l1(64*Ar_0, Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 /\ Ar_1*Fresh_0*Fresh_0' < 4*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0' /\ Fresh_0'' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0'' < 8*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0'' /\ Fresh_0''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' < 16*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' /\ Fresh_0'''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' < 32*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' /\ Fresh_0''''' >= 3 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1) -> Com_1(l1(2*Ar_0, Ar_1*Fresh_0)) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1) -> Com_1(l0(Ar_0, Ar_1)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l0(Ar_0, Ar_1) -> Com_1(l1(64*Ar_0, Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 /\ Ar_1*Fresh_0*Fresh_0' < 4*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0' /\ Fresh_0'' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0'' < 8*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0'' /\ Fresh_0''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' < 16*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' /\ Fresh_0'''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' < 32*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' /\ Fresh_0''''' >= 3 ] with all transitions in problem 8, the following new transition is obtained:
	l0(Ar_0, Ar_1) -> Com_1(l1(128*Ar_0, Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 /\ Ar_1*Fresh_0*Fresh_0' < 4*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0' /\ Fresh_0'' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0'' < 8*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0'' /\ Fresh_0''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' < 16*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' /\ Fresh_0'''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' < 32*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' /\ Fresh_0''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' < 64*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' /\ Fresh_0'''''' >= 3 ]
We thus obtain the following problem:
9:	T:
		(Comp: 1, Cost: 8)    l0(Ar_0, Ar_1) -> Com_1(l1(128*Ar_0, Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 /\ Ar_1*Fresh_0*Fresh_0' < 4*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0' /\ Fresh_0'' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0'' < 8*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0'' /\ Fresh_0''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' < 16*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' /\ Fresh_0'''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' < 32*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' /\ Fresh_0''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' < 64*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' /\ Fresh_0'''''' >= 3 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1) -> Com_1(l1(2*Ar_0, Ar_1*Fresh_0)) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1) -> Com_1(l0(Ar_0, Ar_1)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l0(Ar_0, Ar_1) -> Com_1(l1(128*Ar_0, Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 /\ Ar_1*Fresh_0*Fresh_0' < 4*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0' /\ Fresh_0'' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0'' < 8*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0'' /\ Fresh_0''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' < 16*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' /\ Fresh_0'''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' < 32*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' /\ Fresh_0''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' < 64*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' /\ Fresh_0'''''' >= 3 ] with all transitions in problem 9, the following new transition is obtained:
	l0(Ar_0, Ar_1) -> Com_1(l1(256*Ar_0, Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 /\ Ar_1*Fresh_0*Fresh_0' < 4*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0' /\ Fresh_0'' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0'' < 8*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0'' /\ Fresh_0''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' < 16*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' /\ Fresh_0'''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' < 32*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' /\ Fresh_0''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' < 64*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' /\ Fresh_0'''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' < 128*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' /\ Fresh_0''''''' >= 3 ]
We thus obtain the following problem:
10:	T:
		(Comp: 1, Cost: 9)    l0(Ar_0, Ar_1) -> Com_1(l1(256*Ar_0, Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 /\ Ar_1*Fresh_0*Fresh_0' < 4*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0' /\ Fresh_0'' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0'' < 8*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0'' /\ Fresh_0''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' < 16*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' /\ Fresh_0'''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' < 32*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' /\ Fresh_0''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' < 64*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' /\ Fresh_0'''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' < 128*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' /\ Fresh_0''''''' >= 3 ]
		(Comp: ?, Cost: 1)    l1(Ar_0, Ar_1) -> Com_1(l1(2*Ar_0, Ar_1*Fresh_0)) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1) -> Com_1(l0(Ar_0, Ar_1)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l0(Ar_0, Ar_1) -> Com_1(l1(256*Ar_0, Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 /\ Ar_1*Fresh_0*Fresh_0' < 4*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0' /\ Fresh_0'' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0'' < 8*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0'' /\ Fresh_0''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' < 16*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' /\ Fresh_0'''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' < 32*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' /\ Fresh_0''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' < 64*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' /\ Fresh_0'''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' < 128*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' /\ Fresh_0''''''' >= 3 ] with all transitions in problem 10, the following new transition is obtained:
	l0(Ar_0, Ar_1) -> Com_1(l1(512*Ar_0, Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0'''''''')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 /\ Ar_1*Fresh_0*Fresh_0' < 4*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0' /\ Fresh_0'' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0'' < 8*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0'' /\ Fresh_0''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' < 16*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' /\ Fresh_0'''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' < 32*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' /\ Fresh_0''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' < 64*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' /\ Fresh_0'''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' < 128*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' /\ Fresh_0''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' < 256*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' /\ Fresh_0'''''''' >= 3 ]
We thus obtain the following problem:
11:	T:
		(Comp: 1, Cost: 10)    l0(Ar_0, Ar_1) -> Com_1(l1(512*Ar_0, Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0'''''''')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 /\ Ar_1*Fresh_0*Fresh_0' < 4*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0' /\ Fresh_0'' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0'' < 8*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0'' /\ Fresh_0''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' < 16*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' /\ Fresh_0'''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' < 32*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' /\ Fresh_0''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' < 64*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' /\ Fresh_0'''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' < 128*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' /\ Fresh_0''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' < 256*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' /\ Fresh_0'''''''' >= 3 ]
		(Comp: ?, Cost: 1)     l1(Ar_0, Ar_1) -> Com_1(l1(2*Ar_0, Ar_1*Fresh_0)) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 ]
		(Comp: 1, Cost: 0)     koat_start(Ar_0, Ar_1) -> Com_1(l0(Ar_0, Ar_1)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l0(Ar_0, Ar_1) -> Com_1(l1(512*Ar_0, Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0'''''''')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 /\ Ar_1*Fresh_0*Fresh_0' < 4*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0' /\ Fresh_0'' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0'' < 8*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0'' /\ Fresh_0''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' < 16*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' /\ Fresh_0'''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' < 32*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' /\ Fresh_0''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' < 64*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' /\ Fresh_0'''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' < 128*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' /\ Fresh_0''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' < 256*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' /\ Fresh_0'''''''' >= 3 ] with all transitions in problem 11, the following new transition is obtained:
	l0(Ar_0, Ar_1) -> Com_1(l1(1024*Ar_0, Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0''''''''')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 /\ Ar_1*Fresh_0*Fresh_0' < 4*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0' /\ Fresh_0'' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0'' < 8*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0'' /\ Fresh_0''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' < 16*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' /\ Fresh_0'''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' < 32*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' /\ Fresh_0''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' < 64*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' /\ Fresh_0'''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' < 128*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' /\ Fresh_0''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' < 256*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' /\ Fresh_0'''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0'''''''' < 512*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0'''''''' /\ Fresh_0''''''''' >= 3 ]
We thus obtain the following problem:
12:	T:
		(Comp: 1, Cost: 11)    l0(Ar_0, Ar_1) -> Com_1(l1(1024*Ar_0, Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0''''''''')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 /\ Ar_1*Fresh_0*Fresh_0' < 4*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0' /\ Fresh_0'' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0'' < 8*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0'' /\ Fresh_0''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' < 16*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' /\ Fresh_0'''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' < 32*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' /\ Fresh_0''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' < 64*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' /\ Fresh_0'''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' < 128*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' /\ Fresh_0''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' < 256*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' /\ Fresh_0'''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0'''''''' < 512*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0'''''''' /\ Fresh_0''''''''' >= 3 ]
		(Comp: ?, Cost: 1)     l1(Ar_0, Ar_1) -> Com_1(l1(2*Ar_0, Ar_1*Fresh_0)) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 ]
		(Comp: 1, Cost: 0)     koat_start(Ar_0, Ar_1) -> Com_1(l0(Ar_0, Ar_1)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l0(Ar_0, Ar_1) -> Com_1(l1(1024*Ar_0, Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0''''''''')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 /\ Ar_1*Fresh_0*Fresh_0' < 4*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0' /\ Fresh_0'' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0'' < 8*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0'' /\ Fresh_0''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' < 16*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' /\ Fresh_0'''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' < 32*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' /\ Fresh_0''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' < 64*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' /\ Fresh_0'''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' < 128*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' /\ Fresh_0''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' < 256*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' /\ Fresh_0'''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0'''''''' < 512*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0'''''''' /\ Fresh_0''''''''' >= 3 ] with all transitions in problem 12, the following new transition is obtained:
	l0(Ar_0, Ar_1) -> Com_1(l1(2048*Ar_0, Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0'''''''''')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 /\ Ar_1*Fresh_0*Fresh_0' < 4*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0' /\ Fresh_0'' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0'' < 8*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0'' /\ Fresh_0''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' < 16*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' /\ Fresh_0'''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' < 32*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' /\ Fresh_0''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' < 64*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' /\ Fresh_0'''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' < 128*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' /\ Fresh_0''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' < 256*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' /\ Fresh_0'''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0'''''''' < 512*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0'''''''' /\ Fresh_0''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0''''''''' < 1024*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0''''''''' /\ Fresh_0'''''''''' >= 3 ]
We thus obtain the following problem:
13:	T:
		(Comp: 1, Cost: 12)    l0(Ar_0, Ar_1) -> Com_1(l1(2048*Ar_0, Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0'''''''''')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 /\ Ar_1*Fresh_0*Fresh_0' < 4*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0' /\ Fresh_0'' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0'' < 8*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0'' /\ Fresh_0''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' < 16*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' /\ Fresh_0'''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' < 32*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' /\ Fresh_0''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' < 64*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' /\ Fresh_0'''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' < 128*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' /\ Fresh_0''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' < 256*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' /\ Fresh_0'''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0'''''''' < 512*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0'''''''' /\ Fresh_0''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0''''''''' < 1024*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0''''''''' /\ Fresh_0'''''''''' >= 3 ]
		(Comp: ?, Cost: 1)     l1(Ar_0, Ar_1) -> Com_1(l1(2*Ar_0, Ar_1*Fresh_0)) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 ]
		(Comp: 1, Cost: 0)     koat_start(Ar_0, Ar_1) -> Com_1(l0(Ar_0, Ar_1)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l0(Ar_0, Ar_1) -> Com_1(l1(2048*Ar_0, Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0'''''''''')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 /\ Ar_1*Fresh_0*Fresh_0' < 4*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0' /\ Fresh_0'' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0'' < 8*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0'' /\ Fresh_0''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' < 16*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' /\ Fresh_0'''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' < 32*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' /\ Fresh_0''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' < 64*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' /\ Fresh_0'''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' < 128*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' /\ Fresh_0''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' < 256*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' /\ Fresh_0'''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0'''''''' < 512*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0'''''''' /\ Fresh_0''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0''''''''' < 1024*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0''''''''' /\ Fresh_0'''''''''' >= 3 ] with all transitions in problem 13, the following new transition is obtained:
	l0(Ar_0, Ar_1) -> Com_1(l1(4096*Ar_0, Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0''''''''''')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 /\ Ar_1*Fresh_0*Fresh_0' < 4*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0' /\ Fresh_0'' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0'' < 8*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0'' /\ Fresh_0''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' < 16*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' /\ Fresh_0'''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' < 32*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' /\ Fresh_0''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' < 64*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' /\ Fresh_0'''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' < 128*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' /\ Fresh_0''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' < 256*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' /\ Fresh_0'''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0'''''''' < 512*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0'''''''' /\ Fresh_0''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0''''''''' < 1024*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0''''''''' /\ Fresh_0'''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0'''''''''' < 2048*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0'''''''''' /\ Fresh_0''''''''''' >= 3 ]
We thus obtain the following problem:
14:	T:
		(Comp: 1, Cost: 13)    l0(Ar_0, Ar_1) -> Com_1(l1(4096*Ar_0, Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0''''''''''')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 /\ Ar_1*Fresh_0*Fresh_0' < 4*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0' /\ Fresh_0'' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0'' < 8*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0'' /\ Fresh_0''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' < 16*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' /\ Fresh_0'''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' < 32*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' /\ Fresh_0''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' < 64*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' /\ Fresh_0'''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' < 128*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' /\ Fresh_0''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' < 256*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' /\ Fresh_0'''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0'''''''' < 512*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0'''''''' /\ Fresh_0''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0''''''''' < 1024*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0''''''''' /\ Fresh_0'''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0'''''''''' < 2048*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0'''''''''' /\ Fresh_0''''''''''' >= 3 ]
		(Comp: ?, Cost: 1)     l1(Ar_0, Ar_1) -> Com_1(l1(2*Ar_0, Ar_1*Fresh_0)) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 ]
		(Comp: 1, Cost: 0)     koat_start(Ar_0, Ar_1) -> Com_1(l0(Ar_0, Ar_1)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l0(Ar_0, Ar_1) -> Com_1(l1(4096*Ar_0, Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0''''''''''')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 /\ Ar_1*Fresh_0*Fresh_0' < 4*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0' /\ Fresh_0'' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0'' < 8*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0'' /\ Fresh_0''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' < 16*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' /\ Fresh_0'''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' < 32*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' /\ Fresh_0''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' < 64*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' /\ Fresh_0'''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' < 128*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' /\ Fresh_0''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' < 256*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' /\ Fresh_0'''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0'''''''' < 512*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0'''''''' /\ Fresh_0''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0''''''''' < 1024*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0''''''''' /\ Fresh_0'''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0'''''''''' < 2048*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0'''''''''' /\ Fresh_0''''''''''' >= 3 ] with all transitions in problem 14, the following new transition is obtained:
	l0(Ar_0, Ar_1) -> Com_1(l1(8192*Ar_0, Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0'''''''''''*Fresh_0'''''''''''')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 /\ Ar_1*Fresh_0*Fresh_0' < 4*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0' /\ Fresh_0'' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0'' < 8*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0'' /\ Fresh_0''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' < 16*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' /\ Fresh_0'''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' < 32*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' /\ Fresh_0''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' < 64*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' /\ Fresh_0'''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' < 128*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' /\ Fresh_0''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' < 256*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' /\ Fresh_0'''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0'''''''' < 512*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0'''''''' /\ Fresh_0''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0''''''''' < 1024*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0''''''''' /\ Fresh_0'''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0'''''''''' < 2048*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0'''''''''' /\ Fresh_0''''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0''''''''''' < 4096*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0''''''''''' /\ Fresh_0'''''''''''' >= 3 ]
We thus obtain the following problem:
15:	T:
		(Comp: 1, Cost: 14)    l0(Ar_0, Ar_1) -> Com_1(l1(8192*Ar_0, Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0'''''''''''*Fresh_0'''''''''''')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 /\ Ar_1*Fresh_0*Fresh_0' < 4*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0' /\ Fresh_0'' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0'' < 8*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0'' /\ Fresh_0''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' < 16*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' /\ Fresh_0'''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' < 32*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' /\ Fresh_0''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' < 64*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' /\ Fresh_0'''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' < 128*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' /\ Fresh_0''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' < 256*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' /\ Fresh_0'''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0'''''''' < 512*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0'''''''' /\ Fresh_0''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0''''''''' < 1024*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0''''''''' /\ Fresh_0'''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0'''''''''' < 2048*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0'''''''''' /\ Fresh_0''''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0''''''''''' < 4096*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0''''''''''' /\ Fresh_0'''''''''''' >= 3 ]
		(Comp: ?, Cost: 1)     l1(Ar_0, Ar_1) -> Com_1(l1(2*Ar_0, Ar_1*Fresh_0)) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 ]
		(Comp: 1, Cost: 0)     koat_start(Ar_0, Ar_1) -> Com_1(l0(Ar_0, Ar_1)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l0(Ar_0, Ar_1) -> Com_1(l1(8192*Ar_0, Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0'''''''''''*Fresh_0'''''''''''')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 /\ Ar_1*Fresh_0*Fresh_0' < 4*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0' /\ Fresh_0'' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0'' < 8*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0'' /\ Fresh_0''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' < 16*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' /\ Fresh_0'''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' < 32*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' /\ Fresh_0''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' < 64*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' /\ Fresh_0'''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' < 128*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' /\ Fresh_0''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' < 256*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' /\ Fresh_0'''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0'''''''' < 512*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0'''''''' /\ Fresh_0''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0''''''''' < 1024*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0''''''''' /\ Fresh_0'''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0'''''''''' < 2048*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0'''''''''' /\ Fresh_0''''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0''''''''''' < 4096*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0''''''''''' /\ Fresh_0'''''''''''' >= 3 ] with all transitions in problem 15, the following new transition is obtained:
	l0(Ar_0, Ar_1) -> Com_1(l1(16384*Ar_0, Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0'''''''''''*Fresh_0''''''''''''*Fresh_0''''''''''''')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 /\ Ar_1*Fresh_0*Fresh_0' < 4*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0' /\ Fresh_0'' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0'' < 8*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0'' /\ Fresh_0''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' < 16*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' /\ Fresh_0'''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' < 32*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' /\ Fresh_0''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' < 64*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' /\ Fresh_0'''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' < 128*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' /\ Fresh_0''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' < 256*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' /\ Fresh_0'''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0'''''''' < 512*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0'''''''' /\ Fresh_0''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0''''''''' < 1024*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0''''''''' /\ Fresh_0'''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0'''''''''' < 2048*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0'''''''''' /\ Fresh_0''''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0''''''''''' < 4096*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0''''''''''' /\ Fresh_0'''''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0'''''''''''*Fresh_0'''''''''''' < 8192*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0'''''''''''*Fresh_0'''''''''''' /\ Fresh_0''''''''''''' >= 3 ]
We thus obtain the following problem:
16:	T:
		(Comp: 1, Cost: 15)    l0(Ar_0, Ar_1) -> Com_1(l1(16384*Ar_0, Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0'''''''''''*Fresh_0''''''''''''*Fresh_0''''''''''''')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 /\ Ar_1*Fresh_0*Fresh_0' < 4*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0' /\ Fresh_0'' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0'' < 8*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0'' /\ Fresh_0''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' < 16*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' /\ Fresh_0'''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' < 32*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' /\ Fresh_0''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' < 64*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' /\ Fresh_0'''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' < 128*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' /\ Fresh_0''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' < 256*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' /\ Fresh_0'''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0'''''''' < 512*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0'''''''' /\ Fresh_0''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0''''''''' < 1024*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0''''''''' /\ Fresh_0'''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0'''''''''' < 2048*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0'''''''''' /\ Fresh_0''''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0''''''''''' < 4096*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0''''''''''' /\ Fresh_0'''''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0'''''''''''*Fresh_0'''''''''''' < 8192*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0'''''''''''*Fresh_0'''''''''''' /\ Fresh_0''''''''''''' >= 3 ]
		(Comp: ?, Cost: 1)     l1(Ar_0, Ar_1) -> Com_1(l1(2*Ar_0, Ar_1*Fresh_0)) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 ]
		(Comp: 1, Cost: 0)     koat_start(Ar_0, Ar_1) -> Com_1(l0(Ar_0, Ar_1)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition l0(Ar_0, Ar_1) -> Com_1(l1(16384*Ar_0, Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0'''''''''''*Fresh_0''''''''''''*Fresh_0''''''''''''')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 /\ Ar_1*Fresh_0*Fresh_0' < 4*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0' /\ Fresh_0'' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0'' < 8*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0'' /\ Fresh_0''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' < 16*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' /\ Fresh_0'''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' < 32*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' /\ Fresh_0''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' < 64*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' /\ Fresh_0'''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' < 128*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' /\ Fresh_0''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' < 256*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' /\ Fresh_0'''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0'''''''' < 512*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0'''''''' /\ Fresh_0''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0''''''''' < 1024*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0''''''''' /\ Fresh_0'''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0'''''''''' < 2048*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0'''''''''' /\ Fresh_0''''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0''''''''''' < 4096*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0''''''''''' /\ Fresh_0'''''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0'''''''''''*Fresh_0'''''''''''' < 8192*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0'''''''''''*Fresh_0'''''''''''' /\ Fresh_0''''''''''''' >= 3 ] with all transitions in problem 16, the following new transition is obtained:
	l0(Ar_0, Ar_1) -> Com_1(l1(32768*Ar_0, Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0'''''''''''*Fresh_0''''''''''''*Fresh_0'''''''''''''*Fresh_0'''''''''''''')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 /\ Ar_1*Fresh_0*Fresh_0' < 4*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0' /\ Fresh_0'' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0'' < 8*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0'' /\ Fresh_0''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' < 16*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' /\ Fresh_0'''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' < 32*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' /\ Fresh_0''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' < 64*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' /\ Fresh_0'''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' < 128*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' /\ Fresh_0''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' < 256*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' /\ Fresh_0'''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0'''''''' < 512*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0'''''''' /\ Fresh_0''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0''''''''' < 1024*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0''''''''' /\ Fresh_0'''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0'''''''''' < 2048*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0'''''''''' /\ Fresh_0''''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0''''''''''' < 4096*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0''''''''''' /\ Fresh_0'''''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0'''''''''''*Fresh_0'''''''''''' < 8192*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0'''''''''''*Fresh_0'''''''''''' /\ Fresh_0''''''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0'''''''''''*Fresh_0''''''''''''*Fresh_0''''''''''''' < 16384*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0'''''''''''*Fresh_0''''''''''''*Fresh_0''''''''''''' /\ Fresh_0'''''''''''''' >= 3 ]
We thus obtain the following problem:
17:	T:
		(Comp: 1, Cost: 16)    l0(Ar_0, Ar_1) -> Com_1(l1(32768*Ar_0, Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0'''''''''''*Fresh_0''''''''''''*Fresh_0'''''''''''''*Fresh_0'''''''''''''')) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 /\ Ar_1*Fresh_0 < 2*Ar_0 /\ 0 < Ar_1*Fresh_0 /\ Fresh_0' >= 3 /\ Ar_1*Fresh_0*Fresh_0' < 4*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0' /\ Fresh_0'' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0'' < 8*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0'' /\ Fresh_0''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' < 16*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0''' /\ Fresh_0'''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' < 32*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0'''' /\ Fresh_0''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' < 64*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0''''' /\ Fresh_0'''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' < 128*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0'''''' /\ Fresh_0''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' < 256*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0''''''' /\ Fresh_0'''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0'''''''' < 512*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0'''''''' /\ Fresh_0''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0''''''''' < 1024*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0''''''''' /\ Fresh_0'''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0'''''''''' < 2048*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0'''''''''' /\ Fresh_0''''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0''''''''''' < 4096*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0''''''''''' /\ Fresh_0'''''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0'''''''''''*Fresh_0'''''''''''' < 8192*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0'''''''''''*Fresh_0'''''''''''' /\ Fresh_0''''''''''''' >= 3 /\ Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0'''''''''''*Fresh_0''''''''''''*Fresh_0''''''''''''' < 16384*Ar_0 /\ 0 < Ar_1*Fresh_0*Fresh_0'*Fresh_0''*Fresh_0'''*Fresh_0''''*Fresh_0'''''*Fresh_0''''''*Fresh_0'''''''*Fresh_0''''''''*Fresh_0'''''''''*Fresh_0''''''''''*Fresh_0'''''''''''*Fresh_0''''''''''''*Fresh_0''''''''''''' /\ Fresh_0'''''''''''''' >= 3 ]
		(Comp: ?, Cost: 1)     l1(Ar_0, Ar_1) -> Com_1(l1(2*Ar_0, Ar_1*Fresh_0)) [ Ar_1 < Ar_0 /\ 0 < Ar_1 /\ Fresh_0 >= 3 ]
		(Comp: 1, Cost: 0)     koat_start(Ar_0, Ar_1) -> Com_1(l0(Ar_0, Ar_1)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound ?

Time: 0.343 sec (SMT: 0.263 sec)
