
Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]
		(Comp: ?, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]
		(Comp: ?, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 < Ar_3 ]
		(Comp: ?, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_1 /\ Ar_1 < Ar_3 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_3 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_0 = 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_0 < 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_0 > 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_11(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_start_11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 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)    eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 < Ar_3 ]
		(Comp: 1, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_1 /\ Ar_1 < Ar_3 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_3 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_0 = 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_0 < 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_0 > 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_11(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(eval_start_start) = 2
	Pol(eval_start_bb0_in) = 2
	Pol(eval_start_0) = 2
	Pol(eval_start_1) = 2
	Pol(eval_start_2) = 2
	Pol(eval_start_3) = 2
	Pol(eval_start_bb1_in) = 2
	Pol(eval_start_bb6_in) = 0
	Pol(eval_start_bb2_in) = 2
	Pol(eval_start_bb5_in) = 0
	Pol(eval_start_bb3_in) = 2
	Pol(eval_start_bb4_in) = 1
	Pol(eval_start_stop) = 0
	Pol(eval_start_8) = 0
	Pol(eval_start_9) = 0
	Pol(eval_start_10) = 0
	Pol(eval_start_11) = 0
	Pol(koat_start) = 2
orients all transitions weakly and the transitions
	eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3))
	eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_3 ]
	eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_1 ]
strictly and produces the following problem:
3:	T:
		(Comp: 1, Cost: 1)    eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 < Ar_3 ]
		(Comp: 1, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_1 /\ Ar_1 < Ar_3 ]
		(Comp: 2, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_1 ]
		(Comp: 2, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_3 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_0 = 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_0 < 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_0 > 1 ]
		(Comp: 2, Cost: 1)    eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_11(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Applied AI with 'oct' on problem 3 to obtain the following invariants:
  For symbol eval_start_10: -X_3 >= 0
  For symbol eval_start_11: -X_3 >= 0
  For symbol eval_start_8: X_3 - X_4 >= 0 /\ X_3 - 1 >= 0
  For symbol eval_start_9: X_3 - X_4 >= 0 /\ X_3 - 1 >= 0
  For symbol eval_start_bb1_in: X_3 - 1 >= 0
  For symbol eval_start_bb2_in: X_4 - 2 >= 0 /\ X_3 + X_4 - 3 >= 0 /\ -X_3 + X_4 - 1 >= 0 /\ X_3 - 1 >= 0
  For symbol eval_start_bb3_in: X_4 - 2 >= 0 /\ X_3 + X_4 - 3 >= 0 /\ -X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 3 >= 0 /\ -X_2 + X_4 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_2 - 1 >= 0
  For symbol eval_start_bb4_in: X_4 - 2 >= 0 /\ X_3 + X_4 - 3 >= 0 /\ -X_3 + X_4 - 1 >= 0 /\ X_3 - 1 >= 0
  For symbol eval_start_bb5_in: X_3 - X_4 >= 0 /\ X_3 - 1 >= 0
  For symbol eval_start_bb6_in: -X_3 >= 0


This yielded the following problem:
4:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)    eval_start_11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_11(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 ]
		(Comp: 2, Cost: 1)    eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 < 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 ]
		(Comp: 2, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 >= Ar_3 ]
		(Comp: 2, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 < Ar_1 /\ Ar_1 < Ar_3 ]
		(Comp: 1, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 >= Ar_3 ]
		(Comp: 1, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 < Ar_3 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] with all transitions in problem 4, the following new transition is obtained:
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
We thus obtain the following problem:
5:	T:
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)    eval_start_11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_11(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 ]
		(Comp: 2, Cost: 1)    eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 < 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 ]
		(Comp: 2, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 >= Ar_3 ]
		(Comp: 2, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 < Ar_1 /\ Ar_1 < Ar_3 ]
		(Comp: 1, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 >= Ar_3 ]
		(Comp: 1, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 < Ar_3 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 5:
	eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
We thus obtain the following problem:
6:	T:
		(Comp: 2, Cost: 1)    eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 ]
		(Comp: 2, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 >= Ar_3 ]
		(Comp: 2, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 >= Ar_1 ]
		(Comp: 1, Cost: 1)    eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 < 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 1 ]
		(Comp: 1, Cost: 1)    eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 < Ar_1 /\ Ar_1 < Ar_3 ]
		(Comp: 1, Cost: 1)    eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_11(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 < Ar_3 ]
		(Comp: 1, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 >= Ar_3 ]
		(Comp: 1, Cost: 1)    eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 >= Ar_3 ] with all transitions in problem 6, the following new transition is obtained:
	eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 >= Ar_3 ]
We thus obtain the following problem:
7:	T:
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 >= Ar_3 ]
		(Comp: 2, Cost: 1)    eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 ]
		(Comp: 2, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 >= Ar_1 ]
		(Comp: 1, Cost: 1)    eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 < 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 1 ]
		(Comp: 1, Cost: 1)    eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 < Ar_1 /\ Ar_1 < Ar_3 ]
		(Comp: 1, Cost: 1)    eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_11(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 < Ar_3 ]
		(Comp: 1, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 >= Ar_3 ]
		(Comp: 1, Cost: 1)    eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 >= Ar_1 ] with all transitions in problem 7, the following new transition is obtained:
	eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 >= Ar_1 ]
We thus obtain the following problem:
8:	T:
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 >= Ar_1 ]
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 >= Ar_3 ]
		(Comp: 2, Cost: 1)    eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 < 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 1 ]
		(Comp: 1, Cost: 1)    eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 < Ar_1 /\ Ar_1 < Ar_3 ]
		(Comp: 1, Cost: 1)    eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_11(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 < Ar_3 ]
		(Comp: 1, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 >= Ar_3 ]
		(Comp: 1, Cost: 1)    eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 8:
	eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 ]
We thus obtain the following problem:
9:	T:
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 >= Ar_3 ]
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 >= Ar_1 ]
		(Comp: 1, Cost: 1)    eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 < 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 1 ]
		(Comp: 1, Cost: 1)    eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 < Ar_1 /\ Ar_1 < Ar_3 ]
		(Comp: 1, Cost: 1)    eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_11(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 < Ar_3 ]
		(Comp: 1, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 >= Ar_3 ]
		(Comp: 1, Cost: 1)    eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 ] with all transitions in problem 9, the following new transition is obtained:
	eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 ]
We thus obtain the following problem:
10:	T:
		(Comp: 1, Cost: 2)    eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 ]
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 >= Ar_3 ]
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 >= Ar_1 ]
		(Comp: 1, Cost: 1)    eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 < 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 1 ]
		(Comp: 1, Cost: 1)    eval_start_11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 < Ar_1 /\ Ar_1 < Ar_3 ]
		(Comp: 1, Cost: 1)    eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_11(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 < Ar_3 ]
		(Comp: 1, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 >= Ar_3 ]
		(Comp: 1, Cost: 1)    eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 10:
	eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 ]
We thus obtain the following problem:
11:	T:
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 >= Ar_3 ]
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 < 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 1 ]
		(Comp: 1, Cost: 2)    eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 < Ar_1 /\ Ar_1 < Ar_3 ]
		(Comp: 1, Cost: 1)    eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_11(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 < Ar_3 ]
		(Comp: 1, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 >= Ar_3 ]
		(Comp: 1, Cost: 1)    eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 ] with all transitions in problem 11, the following new transition is obtained:
	eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 ]
We thus obtain the following problem:
12:	T:
		(Comp: 1, Cost: 3)    eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 ]
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 >= Ar_3 ]
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 < 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 1 ]
		(Comp: 1, Cost: 2)    eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 < Ar_1 /\ Ar_1 < Ar_3 ]
		(Comp: 1, Cost: 1)    eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_11(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 < Ar_3 ]
		(Comp: 1, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 >= Ar_3 ]
		(Comp: 1, Cost: 1)    eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 12:
	eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 ]
We thus obtain the following problem:
13:	T:
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 >= Ar_3 ]
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 < 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 1 ]
		(Comp: 1, Cost: 1)    eval_start_11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 < Ar_1 /\ Ar_1 < Ar_3 ]
		(Comp: 1, Cost: 3)    eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_11(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 < Ar_3 ]
		(Comp: 1, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 >= Ar_3 ]
		(Comp: 1, Cost: 1)    eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_11(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ] with all transitions in problem 13, the following new transition is obtained:
	eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
We thus obtain the following problem:
14:	T:
		(Comp: 1, Cost: 2)    eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 >= Ar_3 ]
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 < 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 1 ]
		(Comp: 1, Cost: 1)    eval_start_11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 < Ar_1 /\ Ar_1 < Ar_3 ]
		(Comp: 1, Cost: 3)    eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 < Ar_3 ]
		(Comp: 1, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 >= Ar_3 ]
		(Comp: 1, Cost: 1)    eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 14:
	eval_start_11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
We thus obtain the following problem:
15:	T:
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 >= Ar_3 ]
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 < 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 < Ar_1 /\ Ar_1 < Ar_3 ]
		(Comp: 1, Cost: 3)    eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 ]
		(Comp: 1, Cost: 2)    eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 < Ar_3 ]
		(Comp: 1, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 >= Ar_3 ]
		(Comp: 1, Cost: 1)    eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 < Ar_3 ] with all transitions in problem 15, the following new transition is obtained:
	eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 < Ar_3 /\ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ 0 < Ar_2 ]
We thus obtain the following problem:
16:	T:
		(Comp: 1, Cost: 2)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 < Ar_3 /\ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ 0 < Ar_2 ]
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 >= Ar_3 ]
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 < 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 < Ar_1 /\ Ar_1 < Ar_3 ]
		(Comp: 1, Cost: 3)    eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 ]
		(Comp: 1, Cost: 2)    eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 >= Ar_3 ]
		(Comp: 1, Cost: 1)    eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 >= Ar_3 ] with all transitions in problem 16, the following new transition is obtained:
	eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 >= Ar_3 /\ Ar_2 - Ar_3 >= 0 ]
We thus obtain the following problem:
17:	T:
		(Comp: 1, Cost: 4)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 >= Ar_3 /\ Ar_2 - Ar_3 >= 0 ]
		(Comp: 1, Cost: 2)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 < Ar_3 /\ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ 0 < Ar_2 ]
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 >= Ar_3 ]
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 < 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 < Ar_1 /\ Ar_1 < Ar_3 ]
		(Comp: 1, Cost: 3)    eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 ]
		(Comp: 1, Cost: 2)    eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 17:
	eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 ]
We thus obtain the following problem:
18:	T:
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 >= Ar_3 ]
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 < Ar_1 /\ Ar_1 < Ar_3 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 < 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 1 ]
		(Comp: 1, Cost: 2)    eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 4)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 >= Ar_3 /\ Ar_2 - Ar_3 >= 0 ]
		(Comp: 1, Cost: 2)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 < Ar_3 /\ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ 0 < Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ] with all transitions in problem 18, the following new transition is obtained:
	eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
We thus obtain the following problem:
19:	T:
		(Comp: 1, Cost: 3)    eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 >= Ar_3 ]
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 < Ar_1 /\ Ar_1 < Ar_3 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 < 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 1 ]
		(Comp: 1, Cost: 2)    eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 4)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 >= Ar_3 /\ Ar_2 - Ar_3 >= 0 ]
		(Comp: 1, Cost: 2)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 < Ar_3 /\ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ 0 < Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 19:
	eval_start_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
We thus obtain the following problem:
20:	T:
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 >= Ar_3 ]
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 < Ar_1 /\ Ar_1 < Ar_3 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 < 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 1 ]
		(Comp: 1, Cost: 4)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 >= Ar_3 /\ Ar_2 - Ar_3 >= 0 ]
		(Comp: 1, Cost: 2)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 < Ar_3 /\ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ 0 < Ar_2 ]
		(Comp: 1, Cost: 3)    eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ] with all transitions in problem 20, the following new transition is obtained:
	eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 /\ -Ar_2 >= 0 ]
We thus obtain the following problem:
21:	T:
		(Comp: 1, Cost: 4)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 /\ -Ar_2 >= 0 ]
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 >= Ar_3 ]
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 < Ar_1 /\ Ar_1 < Ar_3 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 < 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 1 ]
		(Comp: 1, Cost: 4)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 >= Ar_3 /\ Ar_2 - Ar_3 >= 0 ]
		(Comp: 1, Cost: 2)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 < Ar_3 /\ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ 0 < Ar_2 ]
		(Comp: 1, Cost: 3)    eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 21:
	eval_start_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_2 >= 0 ]
We thus obtain the following problem:
22:	T:
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 >= Ar_3 ]
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 < Ar_1 /\ Ar_1 < Ar_3 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 < 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 1 ]
		(Comp: 1, Cost: 4)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 >= Ar_3 /\ Ar_2 - Ar_3 >= 0 ]
		(Comp: 1, Cost: 2)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 < Ar_3 /\ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ 0 < Ar_2 ]
		(Comp: 1, Cost: 4)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 /\ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3)) with all transitions in problem 22, the following new transition is obtained:
	eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
We thus obtain the following problem:
23:	T:
		(Comp: 1, Cost: 2)    eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 >= Ar_3 ]
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 < Ar_1 /\ Ar_1 < Ar_3 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 < 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 1 ]
		(Comp: 1, Cost: 4)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 >= Ar_3 /\ Ar_2 - Ar_3 >= 0 ]
		(Comp: 1, Cost: 2)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 < Ar_3 /\ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ 0 < Ar_2 ]
		(Comp: 1, Cost: 4)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 /\ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]
		(Comp: 1, Cost: 1)    eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 23:
	eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
We thus obtain the following problem:
24:	T:
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 >= Ar_3 ]
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 < Ar_1 /\ Ar_1 < Ar_3 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 < 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 1 ]
		(Comp: 1, Cost: 4)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 >= Ar_3 /\ Ar_2 - Ar_3 >= 0 ]
		(Comp: 1, Cost: 2)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 < Ar_3 /\ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ 0 < Ar_2 ]
		(Comp: 1, Cost: 4)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 /\ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]
		(Comp: 1, Cost: 2)    eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3)) with all transitions in problem 24, the following new transition is obtained:
	eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
We thus obtain the following problem:
25:	T:
		(Comp: 1, Cost: 3)    eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 >= Ar_3 ]
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 < Ar_1 /\ Ar_1 < Ar_3 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 < 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 1 ]
		(Comp: 1, Cost: 4)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 >= Ar_3 /\ Ar_2 - Ar_3 >= 0 ]
		(Comp: 1, Cost: 2)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 < Ar_3 /\ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ 0 < Ar_2 ]
		(Comp: 1, Cost: 4)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 /\ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]
		(Comp: 1, Cost: 2)    eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 25:
	eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
We thus obtain the following problem:
26:	T:
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 >= Ar_3 ]
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 < Ar_1 /\ Ar_1 < Ar_3 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 < 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 1 ]
		(Comp: 1, Cost: 4)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 >= Ar_3 /\ Ar_2 - Ar_3 >= 0 ]
		(Comp: 1, Cost: 2)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 < Ar_3 /\ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ 0 < Ar_2 ]
		(Comp: 1, Cost: 4)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 /\ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]
		(Comp: 1, Cost: 3)    eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3)) with all transitions in problem 26, the following new transition is obtained:
	eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
We thus obtain the following problem:
27:	T:
		(Comp: 1, Cost: 4)    eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 >= Ar_3 ]
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 < Ar_1 /\ Ar_1 < Ar_3 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 < 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 1 ]
		(Comp: 1, Cost: 4)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 >= Ar_3 /\ Ar_2 - Ar_3 >= 0 ]
		(Comp: 1, Cost: 2)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 < Ar_3 /\ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ 0 < Ar_2 ]
		(Comp: 1, Cost: 4)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 /\ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]
		(Comp: 1, Cost: 3)    eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 27:
	eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
We thus obtain the following problem:
28:	T:
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 >= Ar_3 ]
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 < Ar_1 /\ Ar_1 < Ar_3 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 < 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 1 ]
		(Comp: 1, Cost: 4)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 >= Ar_3 /\ Ar_2 - Ar_3 >= 0 ]
		(Comp: 1, Cost: 2)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 < Ar_3 /\ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ 0 < Ar_2 ]
		(Comp: 1, Cost: 4)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 /\ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]
		(Comp: 1, Cost: 4)    eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] with all transitions in problem 28, the following new transition is obtained:
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
We thus obtain the following problem:
29:	T:
		(Comp: 1, Cost: 5)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 >= Ar_3 ]
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 < Ar_1 /\ Ar_1 < Ar_3 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 < 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 1 ]
		(Comp: 1, Cost: 4)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 >= Ar_3 /\ Ar_2 - Ar_3 >= 0 ]
		(Comp: 1, Cost: 2)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 < Ar_3 /\ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ 0 < Ar_2 ]
		(Comp: 1, Cost: 4)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 /\ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]
		(Comp: 1, Cost: 4)    eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 29:
	eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
We thus obtain the following problem:
30:	T:
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 >= Ar_3 ]
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 < Ar_1 /\ Ar_1 < Ar_3 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 < 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 1 ]
		(Comp: 1, Cost: 4)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 >= Ar_3 /\ Ar_2 - Ar_3 >= 0 ]
		(Comp: 1, Cost: 2)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 < Ar_3 /\ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ 0 < Ar_2 ]
		(Comp: 1, Cost: 4)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 /\ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]
		(Comp: 1, Cost: 5)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 ] with all transitions in problem 30, the following new transitions are obtained:
	eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 /\ Ar_1 + 1 >= Ar_3 ]
	eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 /\ 0 < Ar_1 + 1 /\ Ar_1 + 1 < Ar_3 ]
We thus obtain the following problem:
31:	T:
		(Comp: ?, Cost: 3)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 /\ Ar_1 + 1 >= Ar_3 ]
		(Comp: ?, Cost: 2)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 /\ 0 < Ar_1 + 1 /\ Ar_1 + 1 < Ar_3 ]
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 >= Ar_3 ]
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 < Ar_1 /\ Ar_1 < Ar_3 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 < 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 1 ]
		(Comp: 1, Cost: 4)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 >= Ar_3 /\ Ar_2 - Ar_3 >= 0 ]
		(Comp: 1, Cost: 2)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 < Ar_3 /\ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ 0 < Ar_2 ]
		(Comp: 1, Cost: 4)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 /\ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]
		(Comp: 1, Cost: 5)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 31:
	eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 >= Ar_3 ]
We thus obtain the following problem:
32:	T:
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 < Ar_1 /\ Ar_1 < Ar_3 ]
		(Comp: ?, Cost: 2)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 /\ 0 < Ar_1 + 1 /\ Ar_1 + 1 < Ar_3 ]
		(Comp: ?, Cost: 3)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 /\ Ar_1 + 1 >= Ar_3 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 < 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 1 ]
		(Comp: 1, Cost: 4)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 >= Ar_3 /\ Ar_2 - Ar_3 >= 0 ]
		(Comp: 1, Cost: 2)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 < Ar_3 /\ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ 0 < Ar_2 ]
		(Comp: 1, Cost: 4)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 /\ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]
		(Comp: 1, Cost: 5)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(eval_start_bb2_in) = 1
	Pol(eval_start_stop) = 0
	Pol(eval_start_bb3_in) = 1
	Pol(eval_start_bb1_in) = 1
	Pol(eval_start_3) = 1
	Pol(koat_start) = 1
orients all transitions weakly and the transition
	eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 /\ Ar_1 + 1 >= Ar_3 ]
strictly and produces the following problem:
33:	T:
		(Comp: 2, Cost: 2)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 < Ar_1 /\ Ar_1 < Ar_3 ]
		(Comp: ?, Cost: 2)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 /\ 0 < Ar_1 + 1 /\ Ar_1 + 1 < Ar_3 ]
		(Comp: 1, Cost: 3)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 /\ Ar_1 + 1 >= Ar_3 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 < 1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 1 ]
		(Comp: 1, Cost: 4)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 >= Ar_3 /\ Ar_2 - Ar_3 >= 0 ]
		(Comp: 1, Cost: 2)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 < Ar_3 /\ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ 0 < Ar_2 ]
		(Comp: 1, Cost: 4)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 /\ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]
		(Comp: 1, Cost: 5)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(eval_start_bb3_in) = 2*V_2 - 1
	Pol(eval_start_bb2_in) = 2*V_2
and size complexities
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-0) = Ar_0
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-1) = Ar_1
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-2) = Ar_2
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3
	S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]", 0-0) = Ar_0
	S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]", 0-1) = Ar_1
	S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]", 0-2) = Ar_2
	S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]", 0-3) = Ar_3
	S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 /\\ -Ar_2 >= 0 ]", 0-0) = Ar_0
	S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 /\\ -Ar_2 >= 0 ]", 0-1) = Ar_1
	S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 /\\ -Ar_2 >= 0 ]", 0-2) = Ar_2
	S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 /\\ -Ar_2 >= 0 ]", 0-3) = Ar_3
	S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\\ Ar_2 < Ar_3 /\\ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ 0 < Ar_2 ]", 0-0) = Ar_0
	S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\\ Ar_2 < Ar_3 /\\ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ 0 < Ar_2 ]", 0-1) = Ar_2
	S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\\ Ar_2 < Ar_3 /\\ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ 0 < Ar_2 ]", 0-2) = Ar_2
	S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\\ Ar_2 < Ar_3 /\\ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ 0 < Ar_2 ]", 0-3) = Ar_3
	S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\\ Ar_2 >= Ar_3 /\\ Ar_2 - Ar_3 >= 0 ]", 0-0) = Ar_0
	S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\\ Ar_2 >= Ar_3 /\\ Ar_2 - Ar_3 >= 0 ]", 0-1) = Ar_1
	S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\\ Ar_2 >= Ar_3 /\\ Ar_2 - Ar_3 >= 0 ]", 0-2) = Ar_2
	S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\\ Ar_2 >= Ar_3 /\\ Ar_2 - Ar_3 >= 0 ]", 0-3) = Ar_3
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 > 1 ]", 0-0) = Ar_0
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 > 1 ]", 0-1) = Ar_2
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 > 1 ]", 0-2) = Ar_2
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 > 1 ]", 0-3) = Ar_3
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 < 1 ]", 0-0) = Ar_0
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 < 1 ]", 0-1) = Ar_2
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 < 1 ]", 0-2) = Ar_2
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 < 1 ]", 0-3) = Ar_3
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 = 1 /\\ Ar_1 + 1 >= Ar_3 ]", 0-0) = 1
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 = 1 /\\ Ar_1 + 1 >= Ar_3 ]", 0-1) = Ar_3
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 = 1 /\\ Ar_1 + 1 >= Ar_3 ]", 0-2) = Ar_2
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 = 1 /\\ Ar_1 + 1 >= Ar_3 ]", 0-3) = Ar_3
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 = 1 /\\ 0 < Ar_1 + 1 /\\ Ar_1 + 1 < Ar_3 ]", 0-0) = 1
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 = 1 /\\ 0 < Ar_1 + 1 /\\ Ar_1 + 1 < Ar_3 ]", 0-1) = Ar_3
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 = 1 /\\ 0 < Ar_1 + 1 /\\ Ar_1 + 1 < Ar_3 ]", 0-2) = Ar_2
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 = 1 /\\ 0 < Ar_1 + 1 /\\ Ar_1 + 1 < Ar_3 ]", 0-3) = Ar_3
	S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ 0 < Ar_1 /\\ Ar_1 < Ar_3 ]", 0-0) = Ar_0
	S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ 0 < Ar_1 /\\ Ar_1 < Ar_3 ]", 0-1) = Ar_2
	S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ 0 < Ar_1 /\\ Ar_1 < Ar_3 ]", 0-2) = Ar_2
	S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ 0 < Ar_1 /\\ Ar_1 < Ar_3 ]", 0-3) = Ar_3
	S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ 0 >= Ar_1 ]", 0-0) = Ar_0
	S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ 0 >= Ar_1 ]", 0-1) = Ar_2
	S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ 0 >= Ar_1 ]", 0-2) = Ar_2
	S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ 0 >= Ar_1 ]", 0-3) = Ar_3
orients the transitions
	eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 1 ]
	eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 < 1 ]
	eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 < Ar_1 /\ Ar_1 < Ar_3 ]
weakly and the transitions
	eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 < 1 ]
	eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 1 ]
	eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 < Ar_1 /\ Ar_1 < Ar_3 ]
strictly and produces the following problem:
34:	T:
		(Comp: 2, Cost: 2)             eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 >= Ar_1 ]
		(Comp: 2*Ar_2 + 1, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 < Ar_1 /\ Ar_1 < Ar_3 ]
		(Comp: ?, Cost: 2)             eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 /\ 0 < Ar_1 + 1 /\ Ar_1 + 1 < Ar_3 ]
		(Comp: 1, Cost: 3)             eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 /\ Ar_1 + 1 >= Ar_3 ]
		(Comp: 2*Ar_2 + 1, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 < 1 ]
		(Comp: 2*Ar_2 + 1, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 1 ]
		(Comp: 1, Cost: 4)             eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 >= Ar_3 /\ Ar_2 - Ar_3 >= 0 ]
		(Comp: 1, Cost: 2)             eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 < Ar_3 /\ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ 0 < Ar_2 ]
		(Comp: 1, Cost: 4)             eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 /\ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)             eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]
		(Comp: 1, Cost: 5)             koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(eval_start_bb3_in) = -V_2 + V_4
and size complexities
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-0) = Ar_0
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-1) = Ar_1
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-2) = Ar_2
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3
	S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]", 0-0) = Ar_0
	S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]", 0-1) = Ar_1
	S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]", 0-2) = Ar_2
	S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]", 0-3) = Ar_3
	S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 /\\ -Ar_2 >= 0 ]", 0-0) = Ar_0
	S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 /\\ -Ar_2 >= 0 ]", 0-1) = Ar_1
	S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 /\\ -Ar_2 >= 0 ]", 0-2) = Ar_2
	S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 /\\ -Ar_2 >= 0 ]", 0-3) = Ar_3
	S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\\ Ar_2 < Ar_3 /\\ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ 0 < Ar_2 ]", 0-0) = Ar_0
	S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\\ Ar_2 < Ar_3 /\\ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ 0 < Ar_2 ]", 0-1) = Ar_2
	S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\\ Ar_2 < Ar_3 /\\ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ 0 < Ar_2 ]", 0-2) = Ar_2
	S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\\ Ar_2 < Ar_3 /\\ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ 0 < Ar_2 ]", 0-3) = Ar_3
	S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\\ Ar_2 >= Ar_3 /\\ Ar_2 - Ar_3 >= 0 ]", 0-0) = Ar_0
	S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\\ Ar_2 >= Ar_3 /\\ Ar_2 - Ar_3 >= 0 ]", 0-1) = Ar_1
	S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\\ Ar_2 >= Ar_3 /\\ Ar_2 - Ar_3 >= 0 ]", 0-2) = Ar_2
	S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\\ Ar_2 >= Ar_3 /\\ Ar_2 - Ar_3 >= 0 ]", 0-3) = Ar_3
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 > 1 ]", 0-0) = Ar_0
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 > 1 ]", 0-1) = Ar_2
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 > 1 ]", 0-2) = Ar_2
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 > 1 ]", 0-3) = Ar_3
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 < 1 ]", 0-0) = Ar_0
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 < 1 ]", 0-1) = Ar_2
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 < 1 ]", 0-2) = Ar_2
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 < 1 ]", 0-3) = Ar_3
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 = 1 /\\ Ar_1 + 1 >= Ar_3 ]", 0-0) = 1
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 = 1 /\\ Ar_1 + 1 >= Ar_3 ]", 0-1) = Ar_3
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 = 1 /\\ Ar_1 + 1 >= Ar_3 ]", 0-2) = Ar_2
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 = 1 /\\ Ar_1 + 1 >= Ar_3 ]", 0-3) = Ar_3
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 = 1 /\\ 0 < Ar_1 + 1 /\\ Ar_1 + 1 < Ar_3 ]", 0-0) = 1
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 = 1 /\\ 0 < Ar_1 + 1 /\\ Ar_1 + 1 < Ar_3 ]", 0-1) = Ar_3
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 = 1 /\\ 0 < Ar_1 + 1 /\\ Ar_1 + 1 < Ar_3 ]", 0-2) = Ar_2
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 = 1 /\\ 0 < Ar_1 + 1 /\\ Ar_1 + 1 < Ar_3 ]", 0-3) = Ar_3
	S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ 0 < Ar_1 /\\ Ar_1 < Ar_3 ]", 0-0) = Ar_0
	S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ 0 < Ar_1 /\\ Ar_1 < Ar_3 ]", 0-1) = Ar_2
	S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ 0 < Ar_1 /\\ Ar_1 < Ar_3 ]", 0-2) = Ar_2
	S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ 0 < Ar_1 /\\ Ar_1 < Ar_3 ]", 0-3) = Ar_3
	S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ 0 >= Ar_1 ]", 0-0) = Ar_0
	S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ 0 >= Ar_1 ]", 0-1) = Ar_2
	S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ 0 >= Ar_1 ]", 0-2) = Ar_2
	S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\\ Ar_2 + Ar_3 - 3 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ 0 >= Ar_1 ]", 0-3) = Ar_3
orients the transitions
	eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 /\ 0 < Ar_1 + 1 /\ Ar_1 + 1 < Ar_3 ]
weakly and the transition
	eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 /\ 0 < Ar_1 + 1 /\ Ar_1 + 1 < Ar_3 ]
strictly and produces the following problem:
35:	T:
		(Comp: 2, Cost: 2)                                           eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 >= Ar_1 ]
		(Comp: 2*Ar_2 + 1, Cost: 1)                                  eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ 0 < Ar_1 /\ Ar_1 < Ar_3 ]
		(Comp: 2*Ar_2 + 2*Ar_3 + 2*Ar_2^2 + 2*Ar_2*Ar_3, Cost: 2)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 /\ 0 < Ar_1 + 1 /\ Ar_1 + 1 < Ar_3 ]
		(Comp: 1, Cost: 3)                                           eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 = 1 /\ Ar_1 + 1 >= Ar_3 ]
		(Comp: 2*Ar_2 + 1, Cost: 1)                                  eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 < 1 ]
		(Comp: 2*Ar_2 + 1, Cost: 1)                                  eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1 - 1, Ar_2, Ar_3)) [ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 1 ]
		(Comp: 1, Cost: 4)                                           eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 >= Ar_3 /\ Ar_2 - Ar_3 >= 0 ]
		(Comp: 1, Cost: 2)                                           eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_2, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_2 < Ar_3 /\ Ar_3 - 2 >= 0 /\ Ar_2 + Ar_3 - 3 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ 0 < Ar_2 ]
		(Comp: 1, Cost: 4)                                           eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 /\ -Ar_2 >= 0 ]
		(Comp: 1, Cost: 1)                                           eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 < Ar_2 ]
		(Comp: 1, Cost: 5)                                           koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound 10*Ar_2 + 4*Ar_3 + 4*Ar_2^2 + 4*Ar_2*Ar_3 + 26

Time: 0.613 sec (SMT: 0.428 sec)
