
Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    eval_aaron12_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)    eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)    eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)    eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)    eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)    eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)    eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)    eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)    eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)    eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)    eval_aaron12_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 < Ar_1 ]
		(Comp: ?, Cost: 1)    eval_aaron12_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)    eval_aaron12_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_3 > 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_3 <= 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 + 1, Ar_1 + Ar_0 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)    eval_aaron12_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 - Ar_2, Ar_1 + Ar_2^2, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)    eval_aaron12_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 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_aaron12_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 < Ar_1 ]
		(Comp: ?, Cost: 1)    eval_aaron12_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)    eval_aaron12_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_3 > 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_3 <= 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 + 1, Ar_1 + Ar_0 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)    eval_aaron12_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 - Ar_2, Ar_1 + Ar_2^2, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)    eval_aaron12_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(eval_aaron12_start) = 2
	Pol(eval_aaron12_bb0_in) = 2
	Pol(eval_aaron12_0) = 2
	Pol(eval_aaron12_1) = 2
	Pol(eval_aaron12_2) = 2
	Pol(eval_aaron12_3) = 2
	Pol(eval_aaron12_4) = 2
	Pol(eval_aaron12_5) = 2
	Pol(eval_aaron12_6) = 2
	Pol(eval_aaron12_7) = 2
	Pol(eval_aaron12_8) = 2
	Pol(eval_aaron12_bb1_in) = 2
	Pol(eval_aaron12_bb2_in) = 2
	Pol(eval_aaron12_bb5_in) = 1
	Pol(eval_aaron12_9) = 2
	Pol(eval_aaron12_10) = 2
	Pol(eval_aaron12_bb3_in) = 2
	Pol(eval_aaron12_bb4_in) = 2
	Pol(eval_aaron12_stop) = 0
	Pol(koat_start) = 2
orients all transitions weakly and the transitions
	eval_aaron12_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
	eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 < Ar_1 ]
strictly and produces the following problem:
3:	T:
		(Comp: 1, Cost: 1)    eval_aaron12_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 >= Ar_1 ]
		(Comp: 2, Cost: 1)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 < Ar_1 ]
		(Comp: ?, Cost: 1)    eval_aaron12_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)    eval_aaron12_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_3 > 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_3 <= 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 + 1, Ar_1 + Ar_0 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)    eval_aaron12_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 - Ar_2, Ar_1 + Ar_2^2, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 2, Cost: 1)    eval_aaron12_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Applied AI with 'oct' on problem 3 to obtain the following invariants:
  For symbol eval_aaron12_10: -X_3 + X_7 >= 0 /\ X_1 - X_2 >= 0
  For symbol eval_aaron12_9: -X_3 + X_7 >= 0 /\ X_1 - X_2 >= 0
  For symbol eval_aaron12_bb1_in: -X_3 + X_7 >= 0
  For symbol eval_aaron12_bb2_in: -X_3 + X_7 >= 0 /\ X_1 - X_2 >= 0
  For symbol eval_aaron12_bb3_in: -X_3 + X_7 >= 0 /\ X_4 - 1 >= 0 /\ X_1 - X_2 >= 0
  For symbol eval_aaron12_bb4_in: -X_3 + X_7 >= 0 /\ -X_4 >= 0 /\ X_1 - X_2 >= 0
  For symbol eval_aaron12_bb5_in: -X_3 + X_7 >= 0 /\ -X_1 + X_2 - 1 >= 0


This yielded the following problem:
4:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
		(Comp: 2, Cost: 1)    eval_aaron12_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 - Ar_2, Ar_1 + Ar_2^2, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ -Ar_3 >= 0 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 + 1, Ar_1 + Ar_0 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 <= 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 > 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: 2, Cost: 1)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 < Ar_1 ]
		(Comp: ?, Cost: 1)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 >= Ar_1 ]
		(Comp: 1, Cost: 1)    eval_aaron12_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ] with all transitions in problem 4, the following new transition is obtained:
	koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
We thus obtain the following problem:
5:	T:
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
		(Comp: 2, Cost: 1)    eval_aaron12_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 - Ar_2, Ar_1 + Ar_2^2, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ -Ar_3 >= 0 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 + 1, Ar_1 + Ar_0 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 <= 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 > 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: 2, Cost: 1)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 < Ar_1 ]
		(Comp: ?, Cost: 1)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 >= Ar_1 ]
		(Comp: 1, Cost: 1)    eval_aaron12_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 5:
	eval_aaron12_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
We thus obtain the following problem:
6:	T:
		(Comp: ?, Cost: 1)    eval_aaron12_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 + 1, Ar_1 + Ar_0 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 - Ar_2, Ar_1 + Ar_2^2, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ -Ar_3 >= 0 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 > 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 <= 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: 2, Cost: 1)    eval_aaron12_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 >= Ar_1 ]
		(Comp: 2, Cost: 1)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 < Ar_1 ]
		(Comp: 1, Cost: 1)    eval_aaron12_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 > 0 ] with all transitions in problem 6, the following new transition is obtained:
	eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 + 1, Ar_1 + Ar_0 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 > 0 /\ Ar_3 - 1 >= 0 ]
We thus obtain the following problem:
7:	T:
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 + 1, Ar_1 + Ar_0 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 > 0 /\ Ar_3 - 1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 + 1, Ar_1 + Ar_0 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 - Ar_2, Ar_1 + Ar_2^2, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ -Ar_3 >= 0 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 <= 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: 2, Cost: 1)    eval_aaron12_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 >= Ar_1 ]
		(Comp: 2, Cost: 1)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 < Ar_1 ]
		(Comp: 1, Cost: 1)    eval_aaron12_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 7:
	eval_aaron12_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 + 1, Ar_1 + Ar_0 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_0 - Ar_1 >= 0 ]
We thus obtain the following problem:
8:	T:
		(Comp: ?, Cost: 1)    eval_aaron12_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 - Ar_2, Ar_1 + Ar_2^2, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ -Ar_3 >= 0 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 + 1, Ar_1 + Ar_0 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 > 0 /\ Ar_3 - 1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 <= 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: 2, Cost: 1)    eval_aaron12_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 >= Ar_1 ]
		(Comp: 2, Cost: 1)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 < Ar_1 ]
		(Comp: 1, Cost: 1)    eval_aaron12_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 <= 0 ] with all transitions in problem 8, the following new transition is obtained:
	eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 - Ar_2, Ar_1 + Ar_2^2, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 <= 0 /\ -Ar_3 >= 0 ]
We thus obtain the following problem:
9:	T:
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 - Ar_2, Ar_1 + Ar_2^2, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 <= 0 /\ -Ar_3 >= 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 - Ar_2, Ar_1 + Ar_2^2, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ -Ar_3 >= 0 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 + 1, Ar_1 + Ar_0 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 > 0 /\ Ar_3 - 1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: 2, Cost: 1)    eval_aaron12_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 >= Ar_1 ]
		(Comp: 2, Cost: 1)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 < Ar_1 ]
		(Comp: 1, Cost: 1)    eval_aaron12_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 9:
	eval_aaron12_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 - Ar_2, Ar_1 + Ar_2^2, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ -Ar_3 >= 0 /\ Ar_0 - Ar_1 >= 0 ]
We thus obtain the following problem:
10:	T:
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 - Ar_2, Ar_1 + Ar_2^2, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 <= 0 /\ -Ar_3 >= 0 ]
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 + 1, Ar_1 + Ar_0 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 > 0 /\ Ar_3 - 1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: 2, Cost: 1)    eval_aaron12_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 >= Ar_1 ]
		(Comp: 2, Cost: 1)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 < Ar_1 ]
		(Comp: 1, Cost: 1)    eval_aaron12_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition eval_aaron12_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 ] with all transitions in problem 10, the following new transition is obtained:
	eval_aaron12_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 ]
We thus obtain the following problem:
11:	T:
		(Comp: ?, Cost: 2)    eval_aaron12_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 - Ar_2, Ar_1 + Ar_2^2, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 <= 0 /\ -Ar_3 >= 0 ]
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 + 1, Ar_1 + Ar_0 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 > 0 /\ Ar_3 - 1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: 2, Cost: 1)    eval_aaron12_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 >= Ar_1 ]
		(Comp: 2, Cost: 1)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 < Ar_1 ]
		(Comp: 1, Cost: 1)    eval_aaron12_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 11:
	eval_aaron12_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 ]
We thus obtain the following problem:
12:	T:
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 - Ar_2, Ar_1 + Ar_2^2, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 <= 0 /\ -Ar_3 >= 0 ]
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 + 1, Ar_1 + Ar_0 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 > 0 /\ Ar_3 - 1 >= 0 ]
		(Comp: ?, Cost: 2)    eval_aaron12_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: 2, Cost: 1)    eval_aaron12_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 >= Ar_1 ]
		(Comp: 2, Cost: 1)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 < Ar_1 ]
		(Comp: 1, Cost: 1)    eval_aaron12_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 >= Ar_1 ] with all transitions in problem 12, the following new transition is obtained:
	eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 >= Ar_1 /\ Ar_0 - Ar_1 >= 0 ]
We thus obtain the following problem:
13:	T:
		(Comp: ?, Cost: 3)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 >= Ar_1 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 - Ar_2, Ar_1 + Ar_2^2, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 <= 0 /\ -Ar_3 >= 0 ]
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 + 1, Ar_1 + Ar_0 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 > 0 /\ Ar_3 - 1 >= 0 ]
		(Comp: ?, Cost: 2)    eval_aaron12_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: 2, Cost: 1)    eval_aaron12_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 ]
		(Comp: 2, Cost: 1)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 < Ar_1 ]
		(Comp: 1, Cost: 1)    eval_aaron12_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 13:
	eval_aaron12_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 ]
We thus obtain the following problem:
14:	T:
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 - Ar_2, Ar_1 + Ar_2^2, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 <= 0 /\ -Ar_3 >= 0 ]
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 + 1, Ar_1 + Ar_0 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 > 0 /\ Ar_3 - 1 >= 0 ]
		(Comp: 2, Cost: 1)    eval_aaron12_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 ]
		(Comp: ?, Cost: 3)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 >= Ar_1 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: 2, Cost: 1)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 < Ar_1 ]
		(Comp: 1, Cost: 1)    eval_aaron12_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 < Ar_1 ] with all transitions in problem 14, the following new transition is obtained:
	eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 < Ar_1 /\ -Ar_0 + Ar_1 - 1 >= 0 ]
We thus obtain the following problem:
15:	T:
		(Comp: 2, Cost: 2)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 < Ar_1 /\ -Ar_0 + Ar_1 - 1 >= 0 ]
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 - Ar_2, Ar_1 + Ar_2^2, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 <= 0 /\ -Ar_3 >= 0 ]
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 + 1, Ar_1 + Ar_0 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 > 0 /\ Ar_3 - 1 >= 0 ]
		(Comp: 2, Cost: 1)    eval_aaron12_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 ]
		(Comp: ?, Cost: 3)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 >= Ar_1 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: 1, Cost: 1)    eval_aaron12_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 15:
	eval_aaron12_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 ]
We thus obtain the following problem:
16:	T:
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 - Ar_2, Ar_1 + Ar_2^2, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 <= 0 /\ -Ar_3 >= 0 ]
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 + 1, Ar_1 + Ar_0 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 > 0 /\ Ar_3 - 1 >= 0 ]
		(Comp: 2, Cost: 2)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 < Ar_1 /\ -Ar_0 + Ar_1 - 1 >= 0 ]
		(Comp: ?, Cost: 3)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 >= Ar_1 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: 1, Cost: 1)    eval_aaron12_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) with all transitions in problem 16, the following new transition is obtained:
	eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
We thus obtain the following problem:
17:	T:
		(Comp: 1, Cost: 2)    eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 - Ar_2, Ar_1 + Ar_2^2, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 <= 0 /\ -Ar_3 >= 0 ]
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 + 1, Ar_1 + Ar_0 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 > 0 /\ Ar_3 - 1 >= 0 ]
		(Comp: 2, Cost: 2)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 < Ar_1 /\ -Ar_0 + Ar_1 - 1 >= 0 ]
		(Comp: ?, Cost: 3)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 >= Ar_1 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: 1, Cost: 1)    eval_aaron12_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 17:
	eval_aaron12_8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
We thus obtain the following problem:
18:	T:
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 - Ar_2, Ar_1 + Ar_2^2, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 <= 0 /\ -Ar_3 >= 0 ]
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 + 1, Ar_1 + Ar_0 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 > 0 /\ Ar_3 - 1 >= 0 ]
		(Comp: 2, Cost: 2)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 < Ar_1 /\ -Ar_0 + Ar_1 - 1 >= 0 ]
		(Comp: ?, Cost: 3)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 >= Ar_1 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: 1, Cost: 2)    eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) with all transitions in problem 18, the following new transition is obtained:
	eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
We thus obtain the following problem:
19:	T:
		(Comp: 1, Cost: 3)    eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 - Ar_2, Ar_1 + Ar_2^2, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 <= 0 /\ -Ar_3 >= 0 ]
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 + 1, Ar_1 + Ar_0 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 > 0 /\ Ar_3 - 1 >= 0 ]
		(Comp: 2, Cost: 2)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 < Ar_1 /\ -Ar_0 + Ar_1 - 1 >= 0 ]
		(Comp: ?, Cost: 3)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 >= Ar_1 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: 1, Cost: 2)    eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 19:
	eval_aaron12_7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
We thus obtain the following problem:
20:	T:
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 - Ar_2, Ar_1 + Ar_2^2, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 <= 0 /\ -Ar_3 >= 0 ]
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 + 1, Ar_1 + Ar_0 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 > 0 /\ Ar_3 - 1 >= 0 ]
		(Comp: 2, Cost: 2)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 < Ar_1 /\ -Ar_0 + Ar_1 - 1 >= 0 ]
		(Comp: ?, Cost: 3)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 >= Ar_1 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: 1, Cost: 3)    eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) with all transitions in problem 20, the following new transition is obtained:
	eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
We thus obtain the following problem:
21:	T:
		(Comp: 1, Cost: 4)    eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 - Ar_2, Ar_1 + Ar_2^2, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 <= 0 /\ -Ar_3 >= 0 ]
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 + 1, Ar_1 + Ar_0 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 > 0 /\ Ar_3 - 1 >= 0 ]
		(Comp: 2, Cost: 2)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 < Ar_1 /\ -Ar_0 + Ar_1 - 1 >= 0 ]
		(Comp: ?, Cost: 3)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 >= Ar_1 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: 1, Cost: 3)    eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 21:
	eval_aaron12_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
We thus obtain the following problem:
22:	T:
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 - Ar_2, Ar_1 + Ar_2^2, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 <= 0 /\ -Ar_3 >= 0 ]
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 + 1, Ar_1 + Ar_0 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 > 0 /\ Ar_3 - 1 >= 0 ]
		(Comp: 2, Cost: 2)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 < Ar_1 /\ -Ar_0 + Ar_1 - 1 >= 0 ]
		(Comp: ?, Cost: 3)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 >= Ar_1 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: 1, Cost: 4)    eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) with all transitions in problem 22, the following new transition is obtained:
	eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
We thus obtain the following problem:
23:	T:
		(Comp: 1, Cost: 5)    eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 - Ar_2, Ar_1 + Ar_2^2, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 <= 0 /\ -Ar_3 >= 0 ]
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 + 1, Ar_1 + Ar_0 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 > 0 /\ Ar_3 - 1 >= 0 ]
		(Comp: 2, Cost: 2)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 < Ar_1 /\ -Ar_0 + Ar_1 - 1 >= 0 ]
		(Comp: ?, Cost: 3)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 >= Ar_1 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: 1, Cost: 4)    eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 23:
	eval_aaron12_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
We thus obtain the following problem:
24:	T:
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 - Ar_2, Ar_1 + Ar_2^2, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 <= 0 /\ -Ar_3 >= 0 ]
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 + 1, Ar_1 + Ar_0 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 > 0 /\ Ar_3 - 1 >= 0 ]
		(Comp: 2, Cost: 2)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 < Ar_1 /\ -Ar_0 + Ar_1 - 1 >= 0 ]
		(Comp: ?, Cost: 3)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 >= Ar_1 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: 1, Cost: 5)    eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) with all transitions in problem 24, the following new transition is obtained:
	eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
We thus obtain the following problem:
25:	T:
		(Comp: 1, Cost: 6)    eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 - Ar_2, Ar_1 + Ar_2^2, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 <= 0 /\ -Ar_3 >= 0 ]
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 + 1, Ar_1 + Ar_0 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 > 0 /\ Ar_3 - 1 >= 0 ]
		(Comp: 2, Cost: 2)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 < Ar_1 /\ -Ar_0 + Ar_1 - 1 >= 0 ]
		(Comp: ?, Cost: 3)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 >= Ar_1 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: 1, Cost: 5)    eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 25:
	eval_aaron12_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
We thus obtain the following problem:
26:	T:
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 - Ar_2, Ar_1 + Ar_2^2, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 <= 0 /\ -Ar_3 >= 0 ]
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 + 1, Ar_1 + Ar_0 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 > 0 /\ Ar_3 - 1 >= 0 ]
		(Comp: 2, Cost: 2)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 < Ar_1 /\ -Ar_0 + Ar_1 - 1 >= 0 ]
		(Comp: ?, Cost: 3)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 >= Ar_1 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: 1, Cost: 6)    eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) with all transitions in problem 26, the following new transition is obtained:
	eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
We thus obtain the following problem:
27:	T:
		(Comp: 1, Cost: 7)    eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 - Ar_2, Ar_1 + Ar_2^2, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 <= 0 /\ -Ar_3 >= 0 ]
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 + 1, Ar_1 + Ar_0 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 > 0 /\ Ar_3 - 1 >= 0 ]
		(Comp: 2, Cost: 2)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 < Ar_1 /\ -Ar_0 + Ar_1 - 1 >= 0 ]
		(Comp: ?, Cost: 3)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 >= Ar_1 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: 1, Cost: 6)    eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 27:
	eval_aaron12_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
We thus obtain the following problem:
28:	T:
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 - Ar_2, Ar_1 + Ar_2^2, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 <= 0 /\ -Ar_3 >= 0 ]
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 + 1, Ar_1 + Ar_0 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 > 0 /\ Ar_3 - 1 >= 0 ]
		(Comp: 2, Cost: 2)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 < Ar_1 /\ -Ar_0 + Ar_1 - 1 >= 0 ]
		(Comp: ?, Cost: 3)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 >= Ar_1 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: 1, Cost: 7)    eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) with all transitions in problem 28, the following new transition is obtained:
	eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
We thus obtain the following problem:
29:	T:
		(Comp: 1, Cost: 8)    eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 - Ar_2, Ar_1 + Ar_2^2, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 <= 0 /\ -Ar_3 >= 0 ]
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 + 1, Ar_1 + Ar_0 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 > 0 /\ Ar_3 - 1 >= 0 ]
		(Comp: 2, Cost: 2)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 < Ar_1 /\ -Ar_0 + Ar_1 - 1 >= 0 ]
		(Comp: ?, Cost: 3)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 >= Ar_1 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: 1, Cost: 7)    eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 29:
	eval_aaron12_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
We thus obtain the following problem:
30:	T:
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 - Ar_2, Ar_1 + Ar_2^2, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 <= 0 /\ -Ar_3 >= 0 ]
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 + 1, Ar_1 + Ar_0 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 > 0 /\ Ar_3 - 1 >= 0 ]
		(Comp: 2, Cost: 2)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 < Ar_1 /\ -Ar_0 + Ar_1 - 1 >= 0 ]
		(Comp: ?, Cost: 3)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 >= Ar_1 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: 1, Cost: 8)    eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) with all transitions in problem 30, the following new transition is obtained:
	eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
We thus obtain the following problem:
31:	T:
		(Comp: 1, Cost: 9)    eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 - Ar_2, Ar_1 + Ar_2^2, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 <= 0 /\ -Ar_3 >= 0 ]
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 + 1, Ar_1 + Ar_0 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 > 0 /\ Ar_3 - 1 >= 0 ]
		(Comp: 2, Cost: 2)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 < Ar_1 /\ -Ar_0 + Ar_1 - 1 >= 0 ]
		(Comp: ?, Cost: 3)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 >= Ar_1 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: 1, Cost: 8)    eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 31:
	eval_aaron12_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
We thus obtain the following problem:
32:	T:
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 - Ar_2, Ar_1 + Ar_2^2, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 <= 0 /\ -Ar_3 >= 0 ]
		(Comp: ?, Cost: 2)    eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 + 1, Ar_1 + Ar_0 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 > 0 /\ Ar_3 - 1 >= 0 ]
		(Comp: 2, Cost: 2)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 < Ar_1 /\ -Ar_0 + Ar_1 - 1 >= 0 ]
		(Comp: ?, Cost: 3)    eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 >= Ar_1 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: 1, Cost: 9)    eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) with all transitions in problem 32, the following new transition is obtained:
	eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
We thus obtain the following problem:
33:	T:
		(Comp: 1, Cost: 10)    eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 2)     eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 - Ar_2, Ar_1 + Ar_2^2, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 <= 0 /\ -Ar_3 >= 0 ]
		(Comp: ?, Cost: 2)     eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 + 1, Ar_1 + Ar_0 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 > 0 /\ Ar_3 - 1 >= 0 ]
		(Comp: 2, Cost: 2)     eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 < Ar_1 /\ -Ar_0 + Ar_1 - 1 >= 0 ]
		(Comp: ?, Cost: 3)     eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 >= Ar_1 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: 1, Cost: 9)     eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 33:
	eval_aaron12_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
We thus obtain the following problem:
34:	T:
		(Comp: ?, Cost: 2)     eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 - Ar_2, Ar_1 + Ar_2^2, Ar_2 - 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 <= 0 /\ -Ar_3 >= 0 ]
		(Comp: ?, Cost: 2)     eval_aaron12_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_0 + 1, Ar_1 + Ar_0 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_3 > 0 /\ Ar_3 - 1 >= 0 ]
		(Comp: 2, Cost: 2)     eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 < Ar_1 /\ -Ar_0 + Ar_1 - 1 >= 0 ]
		(Comp: ?, Cost: 3)     eval_aaron12_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_10(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4, Ar_5, Ar_6)) [ -Ar_2 + Ar_6 >= 0 /\ Ar_0 >= Ar_1 /\ Ar_0 - Ar_1 >= 0 ]
		(Comp: 1, Cost: 10)    eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb1_in(Ar_4, Ar_5, Ar_6, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: 1, Cost: 1)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(eval_aaron12_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound ?

Time: 0.719 sec (SMT: 0.448 sec)
