
Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    eval_ax_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ax_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))
		(Comp: ?, Cost: 1)    eval_ax_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ax_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))
		(Comp: ?, Cost: 1)    eval_ax_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ax_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))
		(Comp: ?, Cost: 1)    eval_ax_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ax_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))
		(Comp: ?, Cost: 1)    eval_ax_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ax_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))
		(Comp: ?, Cost: 1)    eval_ax_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ax_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))
		(Comp: ?, Cost: 1)    eval_ax_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ax_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))
		(Comp: ?, Cost: 1)    eval_ax_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ax_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))
		(Comp: ?, Cost: 1)    eval_ax_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ax_bb1_in(0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))
		(Comp: ?, Cost: 1)    eval_ax_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ax_bb2_in(Ar_0, 0, Ar_2, Ar_3, Ar_4, Ar_5))
		(Comp: ?, Cost: 1)    eval_ax_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ax_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 < Ar_5 - 1 ]
		(Comp: ?, Cost: 1)    eval_ax_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ax_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_5 - 1 ]
		(Comp: ?, Cost: 1)    eval_ax_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ax_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4, Ar_5))
		(Comp: ?, Cost: 1)    eval_ax_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ax_12(Ar_0, Ar_1, Ar_0 + 1, Ar_3, Ar_4, Ar_5))
		(Comp: ?, Cost: 1)    eval_ax_12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))
		(Comp: ?, Cost: 1)    eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ax_bb1_in(Ar_2, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_5 - 1 /\ Ar_2 < Ar_5 - 1 ]
		(Comp: ?, Cost: 1)    eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 < Ar_5 - 1 ]
		(Comp: ?, Cost: 1)    eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 >= Ar_5 - 1 ]
		(Comp: ?, Cost: 1)    eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ax_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ax_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Slicing away variables that do not contribute to conditions from problem 1 leaves variables [Ar_0, Ar_1, Ar_2, Ar_5].
We thus obtain the following problem:
2:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_start(Ar_0, Ar_1, Ar_2, Ar_5)) [ 0 <= 0 ]
		(Comp: ?, Cost: 1)    eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_stop(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: ?, Cost: 1)    eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_2 >= Ar_5 - 1 ]
		(Comp: ?, Cost: 1)    eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 < Ar_5 - 1 ]
		(Comp: ?, Cost: 1)    eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb1_in(Ar_2, Ar_1, Ar_2, Ar_5)) [ Ar_1 >= Ar_5 - 1 /\ Ar_2 < Ar_5 - 1 ]
		(Comp: ?, Cost: 1)    eval_ax_12(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: ?, Cost: 1)    eval_ax_bb4_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_12(Ar_0, Ar_1, Ar_0 + 1, Ar_5))
		(Comp: ?, Cost: 1)    eval_ax_bb3_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_5))
		(Comp: ?, Cost: 1)    eval_ax_bb2_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb4_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 >= Ar_5 - 1 ]
		(Comp: ?, Cost: 1)    eval_ax_bb2_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb3_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 < Ar_5 - 1 ]
		(Comp: ?, Cost: 1)    eval_ax_bb1_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb2_in(Ar_0, 0, Ar_2, Ar_5))
		(Comp: ?, Cost: 1)    eval_ax_6(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb1_in(0, Ar_1, Ar_2, Ar_5))
		(Comp: ?, Cost: 1)    eval_ax_5(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_6(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: ?, Cost: 1)    eval_ax_4(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_5(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: ?, Cost: 1)    eval_ax_3(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_4(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: ?, Cost: 1)    eval_ax_2(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_3(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: ?, Cost: 1)    eval_ax_1(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_2(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: ?, Cost: 1)    eval_ax_0(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_1(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: ?, Cost: 1)    eval_ax_bb0_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_0(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: ?, Cost: 1)    eval_ax_start(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb0_in(Ar_0, Ar_1, Ar_2, Ar_5))
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 2 produces the following problem:
3:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_start(Ar_0, Ar_1, Ar_2, Ar_5)) [ 0 <= 0 ]
		(Comp: ?, Cost: 1)    eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_stop(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: ?, Cost: 1)    eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_2 >= Ar_5 - 1 ]
		(Comp: ?, Cost: 1)    eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 < Ar_5 - 1 ]
		(Comp: ?, Cost: 1)    eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb1_in(Ar_2, Ar_1, Ar_2, Ar_5)) [ Ar_1 >= Ar_5 - 1 /\ Ar_2 < Ar_5 - 1 ]
		(Comp: ?, Cost: 1)    eval_ax_12(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: ?, Cost: 1)    eval_ax_bb4_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_12(Ar_0, Ar_1, Ar_0 + 1, Ar_5))
		(Comp: ?, Cost: 1)    eval_ax_bb3_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_5))
		(Comp: ?, Cost: 1)    eval_ax_bb2_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb4_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 >= Ar_5 - 1 ]
		(Comp: ?, Cost: 1)    eval_ax_bb2_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb3_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 < Ar_5 - 1 ]
		(Comp: ?, Cost: 1)    eval_ax_bb1_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb2_in(Ar_0, 0, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)    eval_ax_6(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb1_in(0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)    eval_ax_5(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_6(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)    eval_ax_4(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_5(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)    eval_ax_3(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_4(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)    eval_ax_2(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_3(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)    eval_ax_1(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_2(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)    eval_ax_0(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_1(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)    eval_ax_bb0_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_0(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)    eval_ax_start(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb0_in(Ar_0, Ar_1, Ar_2, Ar_5))
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(koat_start) = 2
	Pol(eval_ax_start) = 2
	Pol(eval_ax_bb5_in) = 1
	Pol(eval_ax_stop) = 0
	Pol(eval_ax_13) = 2
	Pol(eval_ax_bb1_in) = 2
	Pol(eval_ax_12) = 2
	Pol(eval_ax_bb4_in) = 2
	Pol(eval_ax_bb3_in) = 2
	Pol(eval_ax_bb2_in) = 2
	Pol(eval_ax_6) = 2
	Pol(eval_ax_5) = 2
	Pol(eval_ax_4) = 2
	Pol(eval_ax_3) = 2
	Pol(eval_ax_2) = 2
	Pol(eval_ax_1) = 2
	Pol(eval_ax_0) = 2
	Pol(eval_ax_bb0_in) = 2
orients all transitions weakly and the transitions
	eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_stop(Ar_0, Ar_1, Ar_2, Ar_5))
	eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 < Ar_5 - 1 ]
	eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_2 >= Ar_5 - 1 ]
strictly and produces the following problem:
4:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_start(Ar_0, Ar_1, Ar_2, Ar_5)) [ 0 <= 0 ]
		(Comp: 2, Cost: 1)    eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_stop(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 2, Cost: 1)    eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_2 >= Ar_5 - 1 ]
		(Comp: 2, Cost: 1)    eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 < Ar_5 - 1 ]
		(Comp: ?, Cost: 1)    eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb1_in(Ar_2, Ar_1, Ar_2, Ar_5)) [ Ar_1 >= Ar_5 - 1 /\ Ar_2 < Ar_5 - 1 ]
		(Comp: ?, Cost: 1)    eval_ax_12(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: ?, Cost: 1)    eval_ax_bb4_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_12(Ar_0, Ar_1, Ar_0 + 1, Ar_5))
		(Comp: ?, Cost: 1)    eval_ax_bb3_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_5))
		(Comp: ?, Cost: 1)    eval_ax_bb2_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb4_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 >= Ar_5 - 1 ]
		(Comp: ?, Cost: 1)    eval_ax_bb2_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb3_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 < Ar_5 - 1 ]
		(Comp: ?, Cost: 1)    eval_ax_bb1_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb2_in(Ar_0, 0, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)    eval_ax_6(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb1_in(0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)    eval_ax_5(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_6(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)    eval_ax_4(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_5(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)    eval_ax_3(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_4(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)    eval_ax_2(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_3(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)    eval_ax_1(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_2(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)    eval_ax_0(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_1(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)    eval_ax_bb0_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_0(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)    eval_ax_start(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb0_in(Ar_0, Ar_1, Ar_2, Ar_5))
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(koat_start) = V_4
	Pol(eval_ax_start) = V_4 - 1
	Pol(eval_ax_bb5_in) = -V_3 + V_4
	Pol(eval_ax_stop) = -V_3 + V_4
	Pol(eval_ax_13) = -V_3 + V_4
	Pol(eval_ax_bb1_in) = -V_1 + V_4 - 1
	Pol(eval_ax_12) = -V_3 + V_4
	Pol(eval_ax_bb4_in) = -V_1 + V_4 - 1
	Pol(eval_ax_bb3_in) = -V_1 + V_4 - 1
	Pol(eval_ax_bb2_in) = -V_1 + V_4 - 1
	Pol(eval_ax_6) = V_4 - 1
	Pol(eval_ax_5) = V_4 - 1
	Pol(eval_ax_4) = V_4 - 1
	Pol(eval_ax_3) = V_4 - 1
	Pol(eval_ax_2) = V_4 - 1
	Pol(eval_ax_1) = V_4 - 1
	Pol(eval_ax_0) = V_4 - 1
	Pol(eval_ax_bb0_in) = V_4 - 1
orients all transitions weakly and the transition
	eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb1_in(Ar_2, Ar_1, Ar_2, Ar_5)) [ Ar_1 >= Ar_5 - 1 /\ Ar_2 < Ar_5 - 1 ]
strictly and produces the following problem:
5:	T:
		(Comp: 1, Cost: 0)       koat_start(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_start(Ar_0, Ar_1, Ar_2, Ar_5)) [ 0 <= 0 ]
		(Comp: 2, Cost: 1)       eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_stop(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 2, Cost: 1)       eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_2 >= Ar_5 - 1 ]
		(Comp: 2, Cost: 1)       eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 < Ar_5 - 1 ]
		(Comp: Ar_5, Cost: 1)    eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb1_in(Ar_2, Ar_1, Ar_2, Ar_5)) [ Ar_1 >= Ar_5 - 1 /\ Ar_2 < Ar_5 - 1 ]
		(Comp: ?, Cost: 1)       eval_ax_12(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: ?, Cost: 1)       eval_ax_bb4_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_12(Ar_0, Ar_1, Ar_0 + 1, Ar_5))
		(Comp: ?, Cost: 1)       eval_ax_bb3_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_5))
		(Comp: ?, Cost: 1)       eval_ax_bb2_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb4_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 >= Ar_5 - 1 ]
		(Comp: ?, Cost: 1)       eval_ax_bb2_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb3_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 < Ar_5 - 1 ]
		(Comp: ?, Cost: 1)       eval_ax_bb1_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb2_in(Ar_0, 0, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)       eval_ax_6(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb1_in(0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)       eval_ax_5(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_6(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)       eval_ax_4(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_5(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)       eval_ax_3(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_4(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)       eval_ax_2(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_3(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)       eval_ax_1(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_2(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)       eval_ax_0(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_1(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)       eval_ax_bb0_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_0(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)       eval_ax_start(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb0_in(Ar_0, Ar_1, Ar_2, Ar_5))
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 5 produces the following problem:
6:	T:
		(Comp: 1, Cost: 0)           koat_start(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_start(Ar_0, Ar_1, Ar_2, Ar_5)) [ 0 <= 0 ]
		(Comp: 2, Cost: 1)           eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_stop(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 2, Cost: 1)           eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_2 >= Ar_5 - 1 ]
		(Comp: 2, Cost: 1)           eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 < Ar_5 - 1 ]
		(Comp: Ar_5, Cost: 1)        eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb1_in(Ar_2, Ar_1, Ar_2, Ar_5)) [ Ar_1 >= Ar_5 - 1 /\ Ar_2 < Ar_5 - 1 ]
		(Comp: ?, Cost: 1)           eval_ax_12(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: ?, Cost: 1)           eval_ax_bb4_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_12(Ar_0, Ar_1, Ar_0 + 1, Ar_5))
		(Comp: ?, Cost: 1)           eval_ax_bb3_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_5))
		(Comp: ?, Cost: 1)           eval_ax_bb2_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb4_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 >= Ar_5 - 1 ]
		(Comp: ?, Cost: 1)           eval_ax_bb2_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb3_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 < Ar_5 - 1 ]
		(Comp: Ar_5 + 1, Cost: 1)    eval_ax_bb1_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb2_in(Ar_0, 0, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)           eval_ax_6(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb1_in(0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)           eval_ax_5(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_6(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)           eval_ax_4(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_5(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)           eval_ax_3(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_4(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)           eval_ax_2(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_3(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)           eval_ax_1(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_2(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)           eval_ax_0(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_1(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)           eval_ax_bb0_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_0(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)           eval_ax_start(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb0_in(Ar_0, Ar_1, Ar_2, Ar_5))
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(eval_ax_bb4_in) = 2
	Pol(eval_ax_12) = 1
	Pol(eval_ax_bb3_in) = 3
	Pol(eval_ax_bb2_in) = 3
	Pol(eval_ax_13) = 0
and size complexities
	S("eval_ax_start(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb0_in(Ar_0, Ar_1, Ar_2, Ar_5))", 0-0) = Ar_0
	S("eval_ax_start(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb0_in(Ar_0, Ar_1, Ar_2, Ar_5))", 0-1) = Ar_1
	S("eval_ax_start(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb0_in(Ar_0, Ar_1, Ar_2, Ar_5))", 0-2) = Ar_2
	S("eval_ax_start(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb0_in(Ar_0, Ar_1, Ar_2, Ar_5))", 0-3) = Ar_5
	S("eval_ax_bb0_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_0(Ar_0, Ar_1, Ar_2, Ar_5))", 0-0) = Ar_0
	S("eval_ax_bb0_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_0(Ar_0, Ar_1, Ar_2, Ar_5))", 0-1) = Ar_1
	S("eval_ax_bb0_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_0(Ar_0, Ar_1, Ar_2, Ar_5))", 0-2) = Ar_2
	S("eval_ax_bb0_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_0(Ar_0, Ar_1, Ar_2, Ar_5))", 0-3) = Ar_5
	S("eval_ax_0(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_1(Ar_0, Ar_1, Ar_2, Ar_5))", 0-0) = Ar_0
	S("eval_ax_0(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_1(Ar_0, Ar_1, Ar_2, Ar_5))", 0-1) = Ar_1
	S("eval_ax_0(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_1(Ar_0, Ar_1, Ar_2, Ar_5))", 0-2) = Ar_2
	S("eval_ax_0(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_1(Ar_0, Ar_1, Ar_2, Ar_5))", 0-3) = Ar_5
	S("eval_ax_1(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_2(Ar_0, Ar_1, Ar_2, Ar_5))", 0-0) = Ar_0
	S("eval_ax_1(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_2(Ar_0, Ar_1, Ar_2, Ar_5))", 0-1) = Ar_1
	S("eval_ax_1(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_2(Ar_0, Ar_1, Ar_2, Ar_5))", 0-2) = Ar_2
	S("eval_ax_1(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_2(Ar_0, Ar_1, Ar_2, Ar_5))", 0-3) = Ar_5
	S("eval_ax_2(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_3(Ar_0, Ar_1, Ar_2, Ar_5))", 0-0) = Ar_0
	S("eval_ax_2(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_3(Ar_0, Ar_1, Ar_2, Ar_5))", 0-1) = Ar_1
	S("eval_ax_2(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_3(Ar_0, Ar_1, Ar_2, Ar_5))", 0-2) = Ar_2
	S("eval_ax_2(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_3(Ar_0, Ar_1, Ar_2, Ar_5))", 0-3) = Ar_5
	S("eval_ax_3(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_4(Ar_0, Ar_1, Ar_2, Ar_5))", 0-0) = Ar_0
	S("eval_ax_3(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_4(Ar_0, Ar_1, Ar_2, Ar_5))", 0-1) = Ar_1
	S("eval_ax_3(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_4(Ar_0, Ar_1, Ar_2, Ar_5))", 0-2) = Ar_2
	S("eval_ax_3(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_4(Ar_0, Ar_1, Ar_2, Ar_5))", 0-3) = Ar_5
	S("eval_ax_4(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_5(Ar_0, Ar_1, Ar_2, Ar_5))", 0-0) = Ar_0
	S("eval_ax_4(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_5(Ar_0, Ar_1, Ar_2, Ar_5))", 0-1) = Ar_1
	S("eval_ax_4(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_5(Ar_0, Ar_1, Ar_2, Ar_5))", 0-2) = Ar_2
	S("eval_ax_4(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_5(Ar_0, Ar_1, Ar_2, Ar_5))", 0-3) = Ar_5
	S("eval_ax_5(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_6(Ar_0, Ar_1, Ar_2, Ar_5))", 0-0) = Ar_0
	S("eval_ax_5(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_6(Ar_0, Ar_1, Ar_2, Ar_5))", 0-1) = Ar_1
	S("eval_ax_5(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_6(Ar_0, Ar_1, Ar_2, Ar_5))", 0-2) = Ar_2
	S("eval_ax_5(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_6(Ar_0, Ar_1, Ar_2, Ar_5))", 0-3) = Ar_5
	S("eval_ax_6(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb1_in(0, Ar_1, Ar_2, Ar_5))", 0-0) = 0
	S("eval_ax_6(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb1_in(0, Ar_1, Ar_2, Ar_5))", 0-1) = Ar_1
	S("eval_ax_6(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb1_in(0, Ar_1, Ar_2, Ar_5))", 0-2) = Ar_2
	S("eval_ax_6(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb1_in(0, Ar_1, Ar_2, Ar_5))", 0-3) = Ar_5
	S("eval_ax_bb1_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb2_in(Ar_0, 0, Ar_2, Ar_5))", 0-0) = ?
	S("eval_ax_bb1_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb2_in(Ar_0, 0, Ar_2, Ar_5))", 0-1) = 0
	S("eval_ax_bb1_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb2_in(Ar_0, 0, Ar_2, Ar_5))", 0-2) = ?
	S("eval_ax_bb1_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb2_in(Ar_0, 0, Ar_2, Ar_5))", 0-3) = Ar_5
	S("eval_ax_bb2_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb3_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 < Ar_5 - 1 ]", 0-0) = ?
	S("eval_ax_bb2_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb3_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 < Ar_5 - 1 ]", 0-1) = ?
	S("eval_ax_bb2_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb3_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 < Ar_5 - 1 ]", 0-2) = ?
	S("eval_ax_bb2_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb3_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 < Ar_5 - 1 ]", 0-3) = Ar_5
	S("eval_ax_bb2_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb4_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 >= Ar_5 - 1 ]", 0-0) = ?
	S("eval_ax_bb2_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb4_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 >= Ar_5 - 1 ]", 0-1) = ?
	S("eval_ax_bb2_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb4_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 >= Ar_5 - 1 ]", 0-2) = ?
	S("eval_ax_bb2_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb4_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 >= Ar_5 - 1 ]", 0-3) = Ar_5
	S("eval_ax_bb3_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_5))", 0-0) = ?
	S("eval_ax_bb3_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_5))", 0-1) = ?
	S("eval_ax_bb3_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_5))", 0-2) = ?
	S("eval_ax_bb3_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_5))", 0-3) = Ar_5
	S("eval_ax_bb4_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_12(Ar_0, Ar_1, Ar_0 + 1, Ar_5))", 0-0) = ?
	S("eval_ax_bb4_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_12(Ar_0, Ar_1, Ar_0 + 1, Ar_5))", 0-1) = ?
	S("eval_ax_bb4_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_12(Ar_0, Ar_1, Ar_0 + 1, Ar_5))", 0-2) = ?
	S("eval_ax_bb4_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_12(Ar_0, Ar_1, Ar_0 + 1, Ar_5))", 0-3) = Ar_5
	S("eval_ax_12(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5))", 0-0) = ?
	S("eval_ax_12(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5))", 0-1) = ?
	S("eval_ax_12(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5))", 0-2) = ?
	S("eval_ax_12(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5))", 0-3) = Ar_5
	S("eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb1_in(Ar_2, Ar_1, Ar_2, Ar_5)) [ Ar_1 >= Ar_5 - 1 /\\ Ar_2 < Ar_5 - 1 ]", 0-0) = ?
	S("eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb1_in(Ar_2, Ar_1, Ar_2, Ar_5)) [ Ar_1 >= Ar_5 - 1 /\\ Ar_2 < Ar_5 - 1 ]", 0-1) = ?
	S("eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb1_in(Ar_2, Ar_1, Ar_2, Ar_5)) [ Ar_1 >= Ar_5 - 1 /\\ Ar_2 < Ar_5 - 1 ]", 0-2) = ?
	S("eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb1_in(Ar_2, Ar_1, Ar_2, Ar_5)) [ Ar_1 >= Ar_5 - 1 /\\ Ar_2 < Ar_5 - 1 ]", 0-3) = Ar_5
	S("eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 < Ar_5 - 1 ]", 0-0) = ?
	S("eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 < Ar_5 - 1 ]", 0-1) = ?
	S("eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 < Ar_5 - 1 ]", 0-2) = ?
	S("eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 < Ar_5 - 1 ]", 0-3) = Ar_5
	S("eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_2 >= Ar_5 - 1 ]", 0-0) = ?
	S("eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_2 >= Ar_5 - 1 ]", 0-1) = ?
	S("eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_2 >= Ar_5 - 1 ]", 0-2) = ?
	S("eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_2 >= Ar_5 - 1 ]", 0-3) = Ar_5
	S("eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_stop(Ar_0, Ar_1, Ar_2, Ar_5))", 0-0) = ?
	S("eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_stop(Ar_0, Ar_1, Ar_2, Ar_5))", 0-1) = ?
	S("eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_stop(Ar_0, Ar_1, Ar_2, Ar_5))", 0-2) = ?
	S("eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_stop(Ar_0, Ar_1, Ar_2, Ar_5))", 0-3) = Ar_5
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_start(Ar_0, Ar_1, Ar_2, Ar_5)) [ 0 <= 0 ]", 0-0) = Ar_0
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_start(Ar_0, Ar_1, Ar_2, Ar_5)) [ 0 <= 0 ]", 0-1) = Ar_1
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_start(Ar_0, Ar_1, Ar_2, Ar_5)) [ 0 <= 0 ]", 0-2) = Ar_2
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_start(Ar_0, Ar_1, Ar_2, Ar_5)) [ 0 <= 0 ]", 0-3) = Ar_5
orients the transitions
	eval_ax_bb4_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_12(Ar_0, Ar_1, Ar_0 + 1, Ar_5))
	eval_ax_bb3_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_5))
	eval_ax_bb2_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb4_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 >= Ar_5 - 1 ]
	eval_ax_bb2_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb3_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 < Ar_5 - 1 ]
	eval_ax_12(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5))
weakly and the transitions
	eval_ax_bb4_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_12(Ar_0, Ar_1, Ar_0 + 1, Ar_5))
	eval_ax_bb2_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb4_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 >= Ar_5 - 1 ]
	eval_ax_12(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5))
strictly and produces the following problem:
7:	T:
		(Comp: 1, Cost: 0)             koat_start(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_start(Ar_0, Ar_1, Ar_2, Ar_5)) [ 0 <= 0 ]
		(Comp: 2, Cost: 1)             eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_stop(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 2, Cost: 1)             eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_2 >= Ar_5 - 1 ]
		(Comp: 2, Cost: 1)             eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 < Ar_5 - 1 ]
		(Comp: Ar_5, Cost: 1)          eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb1_in(Ar_2, Ar_1, Ar_2, Ar_5)) [ Ar_1 >= Ar_5 - 1 /\ Ar_2 < Ar_5 - 1 ]
		(Comp: 3*Ar_5 + 3, Cost: 1)    eval_ax_12(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 3*Ar_5 + 3, Cost: 1)    eval_ax_bb4_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_12(Ar_0, Ar_1, Ar_0 + 1, Ar_5))
		(Comp: ?, Cost: 1)             eval_ax_bb3_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_5))
		(Comp: 3*Ar_5 + 3, Cost: 1)    eval_ax_bb2_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb4_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 >= Ar_5 - 1 ]
		(Comp: ?, Cost: 1)             eval_ax_bb2_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb3_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 < Ar_5 - 1 ]
		(Comp: Ar_5 + 1, Cost: 1)      eval_ax_bb1_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb2_in(Ar_0, 0, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)             eval_ax_6(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb1_in(0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)             eval_ax_5(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_6(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)             eval_ax_4(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_5(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)             eval_ax_3(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_4(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)             eval_ax_2(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_3(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)             eval_ax_1(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_2(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)             eval_ax_0(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_1(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)             eval_ax_bb0_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_0(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)             eval_ax_start(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb0_in(Ar_0, Ar_1, Ar_2, Ar_5))
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(eval_ax_bb3_in) = -V_2 + V_4
	Pol(eval_ax_bb2_in) = -V_2 + V_4 + 1
and size complexities
	S("eval_ax_start(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb0_in(Ar_0, Ar_1, Ar_2, Ar_5))", 0-0) = Ar_0
	S("eval_ax_start(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb0_in(Ar_0, Ar_1, Ar_2, Ar_5))", 0-1) = Ar_1
	S("eval_ax_start(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb0_in(Ar_0, Ar_1, Ar_2, Ar_5))", 0-2) = Ar_2
	S("eval_ax_start(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb0_in(Ar_0, Ar_1, Ar_2, Ar_5))", 0-3) = Ar_5
	S("eval_ax_bb0_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_0(Ar_0, Ar_1, Ar_2, Ar_5))", 0-0) = Ar_0
	S("eval_ax_bb0_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_0(Ar_0, Ar_1, Ar_2, Ar_5))", 0-1) = Ar_1
	S("eval_ax_bb0_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_0(Ar_0, Ar_1, Ar_2, Ar_5))", 0-2) = Ar_2
	S("eval_ax_bb0_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_0(Ar_0, Ar_1, Ar_2, Ar_5))", 0-3) = Ar_5
	S("eval_ax_0(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_1(Ar_0, Ar_1, Ar_2, Ar_5))", 0-0) = Ar_0
	S("eval_ax_0(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_1(Ar_0, Ar_1, Ar_2, Ar_5))", 0-1) = Ar_1
	S("eval_ax_0(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_1(Ar_0, Ar_1, Ar_2, Ar_5))", 0-2) = Ar_2
	S("eval_ax_0(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_1(Ar_0, Ar_1, Ar_2, Ar_5))", 0-3) = Ar_5
	S("eval_ax_1(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_2(Ar_0, Ar_1, Ar_2, Ar_5))", 0-0) = Ar_0
	S("eval_ax_1(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_2(Ar_0, Ar_1, Ar_2, Ar_5))", 0-1) = Ar_1
	S("eval_ax_1(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_2(Ar_0, Ar_1, Ar_2, Ar_5))", 0-2) = Ar_2
	S("eval_ax_1(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_2(Ar_0, Ar_1, Ar_2, Ar_5))", 0-3) = Ar_5
	S("eval_ax_2(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_3(Ar_0, Ar_1, Ar_2, Ar_5))", 0-0) = Ar_0
	S("eval_ax_2(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_3(Ar_0, Ar_1, Ar_2, Ar_5))", 0-1) = Ar_1
	S("eval_ax_2(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_3(Ar_0, Ar_1, Ar_2, Ar_5))", 0-2) = Ar_2
	S("eval_ax_2(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_3(Ar_0, Ar_1, Ar_2, Ar_5))", 0-3) = Ar_5
	S("eval_ax_3(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_4(Ar_0, Ar_1, Ar_2, Ar_5))", 0-0) = Ar_0
	S("eval_ax_3(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_4(Ar_0, Ar_1, Ar_2, Ar_5))", 0-1) = Ar_1
	S("eval_ax_3(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_4(Ar_0, Ar_1, Ar_2, Ar_5))", 0-2) = Ar_2
	S("eval_ax_3(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_4(Ar_0, Ar_1, Ar_2, Ar_5))", 0-3) = Ar_5
	S("eval_ax_4(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_5(Ar_0, Ar_1, Ar_2, Ar_5))", 0-0) = Ar_0
	S("eval_ax_4(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_5(Ar_0, Ar_1, Ar_2, Ar_5))", 0-1) = Ar_1
	S("eval_ax_4(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_5(Ar_0, Ar_1, Ar_2, Ar_5))", 0-2) = Ar_2
	S("eval_ax_4(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_5(Ar_0, Ar_1, Ar_2, Ar_5))", 0-3) = Ar_5
	S("eval_ax_5(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_6(Ar_0, Ar_1, Ar_2, Ar_5))", 0-0) = Ar_0
	S("eval_ax_5(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_6(Ar_0, Ar_1, Ar_2, Ar_5))", 0-1) = Ar_1
	S("eval_ax_5(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_6(Ar_0, Ar_1, Ar_2, Ar_5))", 0-2) = Ar_2
	S("eval_ax_5(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_6(Ar_0, Ar_1, Ar_2, Ar_5))", 0-3) = Ar_5
	S("eval_ax_6(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb1_in(0, Ar_1, Ar_2, Ar_5))", 0-0) = 0
	S("eval_ax_6(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb1_in(0, Ar_1, Ar_2, Ar_5))", 0-1) = Ar_1
	S("eval_ax_6(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb1_in(0, Ar_1, Ar_2, Ar_5))", 0-2) = Ar_2
	S("eval_ax_6(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb1_in(0, Ar_1, Ar_2, Ar_5))", 0-3) = Ar_5
	S("eval_ax_bb1_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb2_in(Ar_0, 0, Ar_2, Ar_5))", 0-0) = 3*Ar_5 + 27
	S("eval_ax_bb1_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb2_in(Ar_0, 0, Ar_2, Ar_5))", 0-1) = 0
	S("eval_ax_bb1_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb2_in(Ar_0, 0, Ar_2, Ar_5))", 0-2) = 3*Ar_2 + 3*Ar_5 + 243
	S("eval_ax_bb1_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb2_in(Ar_0, 0, Ar_2, Ar_5))", 0-3) = Ar_5
	S("eval_ax_bb2_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb3_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 < Ar_5 - 1 ]", 0-0) = 3*Ar_5 + 27
	S("eval_ax_bb2_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb3_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 < Ar_5 - 1 ]", 0-1) = ?
	S("eval_ax_bb2_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb3_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 < Ar_5 - 1 ]", 0-2) = 3*Ar_2 + 3*Ar_5 + 729
	S("eval_ax_bb2_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb3_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 < Ar_5 - 1 ]", 0-3) = Ar_5
	S("eval_ax_bb2_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb4_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 >= Ar_5 - 1 ]", 0-0) = 3*Ar_5 + 27
	S("eval_ax_bb2_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb4_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 >= Ar_5 - 1 ]", 0-1) = ?
	S("eval_ax_bb2_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb4_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 >= Ar_5 - 1 ]", 0-2) = 3*Ar_2 + 3*Ar_5 + 2187
	S("eval_ax_bb2_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb4_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 >= Ar_5 - 1 ]", 0-3) = Ar_5
	S("eval_ax_bb3_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_5))", 0-0) = 3*Ar_5 + 27
	S("eval_ax_bb3_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_5))", 0-1) = ?
	S("eval_ax_bb3_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_5))", 0-2) = 3*Ar_2 + 3*Ar_5 + 729
	S("eval_ax_bb3_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_5))", 0-3) = Ar_5
	S("eval_ax_bb4_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_12(Ar_0, Ar_1, Ar_0 + 1, Ar_5))", 0-0) = 3*Ar_5 + 81
	S("eval_ax_bb4_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_12(Ar_0, Ar_1, Ar_0 + 1, Ar_5))", 0-1) = ?
	S("eval_ax_bb4_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_12(Ar_0, Ar_1, Ar_0 + 1, Ar_5))", 0-2) = 3*Ar_5 + 27
	S("eval_ax_bb4_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_12(Ar_0, Ar_1, Ar_0 + 1, Ar_5))", 0-3) = Ar_5
	S("eval_ax_12(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5))", 0-0) = 3*Ar_5 + 243
	S("eval_ax_12(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5))", 0-1) = ?
	S("eval_ax_12(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5))", 0-2) = 3*Ar_5 + 27
	S("eval_ax_12(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5))", 0-3) = Ar_5
	S("eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb1_in(Ar_2, Ar_1, Ar_2, Ar_5)) [ Ar_1 >= Ar_5 - 1 /\\ Ar_2 < Ar_5 - 1 ]", 0-0) = 3*Ar_5 + 27
	S("eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb1_in(Ar_2, Ar_1, Ar_2, Ar_5)) [ Ar_1 >= Ar_5 - 1 /\\ Ar_2 < Ar_5 - 1 ]", 0-1) = ?
	S("eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb1_in(Ar_2, Ar_1, Ar_2, Ar_5)) [ Ar_1 >= Ar_5 - 1 /\\ Ar_2 < Ar_5 - 1 ]", 0-2) = 3*Ar_5 + 81
	S("eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb1_in(Ar_2, Ar_1, Ar_2, Ar_5)) [ Ar_1 >= Ar_5 - 1 /\\ Ar_2 < Ar_5 - 1 ]", 0-3) = Ar_5
	S("eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 < Ar_5 - 1 ]", 0-0) = 3*Ar_5 + 729
	S("eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 < Ar_5 - 1 ]", 0-1) = ?
	S("eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 < Ar_5 - 1 ]", 0-2) = 3*Ar_5 + 81
	S("eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 < Ar_5 - 1 ]", 0-3) = Ar_5
	S("eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_2 >= Ar_5 - 1 ]", 0-0) = 3*Ar_5 + 729
	S("eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_2 >= Ar_5 - 1 ]", 0-1) = ?
	S("eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_2 >= Ar_5 - 1 ]", 0-2) = 3*Ar_5 + 81
	S("eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_2 >= Ar_5 - 1 ]", 0-3) = Ar_5
	S("eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_stop(Ar_0, Ar_1, Ar_2, Ar_5))", 0-0) = 3*Ar_5 + 2187
	S("eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_stop(Ar_0, Ar_1, Ar_2, Ar_5))", 0-1) = ?
	S("eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_stop(Ar_0, Ar_1, Ar_2, Ar_5))", 0-2) = 3*Ar_5 + 243
	S("eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_stop(Ar_0, Ar_1, Ar_2, Ar_5))", 0-3) = Ar_5
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_start(Ar_0, Ar_1, Ar_2, Ar_5)) [ 0 <= 0 ]", 0-0) = Ar_0
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_start(Ar_0, Ar_1, Ar_2, Ar_5)) [ 0 <= 0 ]", 0-1) = Ar_1
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_start(Ar_0, Ar_1, Ar_2, Ar_5)) [ 0 <= 0 ]", 0-2) = Ar_2
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_start(Ar_0, Ar_1, Ar_2, Ar_5)) [ 0 <= 0 ]", 0-3) = Ar_5
orients the transitions
	eval_ax_bb3_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_5))
	eval_ax_bb2_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb3_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 < Ar_5 - 1 ]
weakly and the transition
	eval_ax_bb2_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb3_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 < Ar_5 - 1 ]
strictly and produces the following problem:
8:	T:
		(Comp: 1, Cost: 0)                      koat_start(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_start(Ar_0, Ar_1, Ar_2, Ar_5)) [ 0 <= 0 ]
		(Comp: 2, Cost: 1)                      eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_stop(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 2, Cost: 1)                      eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_2 >= Ar_5 - 1 ]
		(Comp: 2, Cost: 1)                      eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 < Ar_5 - 1 ]
		(Comp: Ar_5, Cost: 1)                   eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb1_in(Ar_2, Ar_1, Ar_2, Ar_5)) [ Ar_1 >= Ar_5 - 1 /\ Ar_2 < Ar_5 - 1 ]
		(Comp: 3*Ar_5 + 3, Cost: 1)             eval_ax_12(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 3*Ar_5 + 3, Cost: 1)             eval_ax_bb4_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_12(Ar_0, Ar_1, Ar_0 + 1, Ar_5))
		(Comp: ?, Cost: 1)                      eval_ax_bb3_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_5))
		(Comp: 3*Ar_5 + 3, Cost: 1)             eval_ax_bb2_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb4_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 >= Ar_5 - 1 ]
		(Comp: Ar_5^2 + 2*Ar_5 + 1, Cost: 1)    eval_ax_bb2_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb3_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 < Ar_5 - 1 ]
		(Comp: Ar_5 + 1, Cost: 1)               eval_ax_bb1_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb2_in(Ar_0, 0, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)                      eval_ax_6(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb1_in(0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)                      eval_ax_5(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_6(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)                      eval_ax_4(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_5(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)                      eval_ax_3(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_4(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)                      eval_ax_2(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_3(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)                      eval_ax_1(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_2(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)                      eval_ax_0(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_1(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)                      eval_ax_bb0_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_0(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)                      eval_ax_start(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb0_in(Ar_0, Ar_1, Ar_2, Ar_5))
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 8 produces the following problem:
9:	T:
		(Comp: 1, Cost: 0)                      koat_start(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_start(Ar_0, Ar_1, Ar_2, Ar_5)) [ 0 <= 0 ]
		(Comp: 2, Cost: 1)                      eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_stop(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 2, Cost: 1)                      eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_2 >= Ar_5 - 1 ]
		(Comp: 2, Cost: 1)                      eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb5_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 < Ar_5 - 1 ]
		(Comp: Ar_5, Cost: 1)                   eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb1_in(Ar_2, Ar_1, Ar_2, Ar_5)) [ Ar_1 >= Ar_5 - 1 /\ Ar_2 < Ar_5 - 1 ]
		(Comp: 3*Ar_5 + 3, Cost: 1)             eval_ax_12(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_13(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 3*Ar_5 + 3, Cost: 1)             eval_ax_bb4_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_12(Ar_0, Ar_1, Ar_0 + 1, Ar_5))
		(Comp: Ar_5^2 + 2*Ar_5 + 1, Cost: 1)    eval_ax_bb3_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_5))
		(Comp: 3*Ar_5 + 3, Cost: 1)             eval_ax_bb2_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb4_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 >= Ar_5 - 1 ]
		(Comp: Ar_5^2 + 2*Ar_5 + 1, Cost: 1)    eval_ax_bb2_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb3_in(Ar_0, Ar_1, Ar_2, Ar_5)) [ Ar_1 < Ar_5 - 1 ]
		(Comp: Ar_5 + 1, Cost: 1)               eval_ax_bb1_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb2_in(Ar_0, 0, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)                      eval_ax_6(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb1_in(0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)                      eval_ax_5(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_6(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)                      eval_ax_4(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_5(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)                      eval_ax_3(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_4(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)                      eval_ax_2(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_3(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)                      eval_ax_1(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_2(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)                      eval_ax_0(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_1(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)                      eval_ax_bb0_in(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_0(Ar_0, Ar_1, Ar_2, Ar_5))
		(Comp: 1, Cost: 1)                      eval_ax_start(Ar_0, Ar_1, Ar_2, Ar_5) -> Com_1(eval_ax_bb0_in(Ar_0, Ar_1, Ar_2, Ar_5))
	start location:	koat_start
	leaf cost:	0

Complexity upper bound 15*Ar_5 + 2*Ar_5^2 + 27

Time: 0.080 sec (SMT: 0.053 sec)
